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(matches) -520.988 (\050pink\051) -520.019 (and) -520.019 (2D\0553D) ] TJ 10.959 TL T* [ (matches) -256.984 (\050blue\051) -256.987 (used) -257.009 (by) -256.992 (one) -257.011 (of) -257.009 (our) -257.009 (h) 5.01002 (ybrid) -256.998 (pose) -257.009 (solv) 14.9974 (ers\056) -331.016 (The) -257.014 (query) ] TJ T* [ (camera) -250.017 (is) -250.008 (represented) -249.981 (in) -250.014 (red) -250.011 (and) -250 (SfM) -250.017 (cameras) -250.011 (in) -250.011 (green\056) ] TJ /R37 9.9626 Tf 18.8398 TL T* [ (loop\056) -974.009 (There) -472.002 (is) -471.007 (a) -472.005 (lar) 17.997 (ge) -471.019 (body) -472.019 (of) -471.019 (w) 10.0032 (ork) -471.995 (on) -471.01 (absolute) -472.014 (pose) ] TJ 11.9551 TL T* [ (estimation) -481.008 (from) ] TJ /R54 9.9626 Tf 70.457 0 Td [ (n) -0.1985 ] TJ /R37 9.9626 Tf 10.768 0 Td [ (2D\0553D) -479.984 (matches\054) -538.988 (a) -480.003 (problem) -480.993 (typically) ] TJ -81.225 -11.9551 Td [ (referred) -471.002 (to) -471.007 (as) ] TJ /R54 9.9626 Tf 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354.859 333.534 Tm (34) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 364.822 333.534 Tm [ (\135\054) -366.017 (and) -342.016 (uncalibrated) -342.982 (cameras) -343.002 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 484.104 333.534 Tm (12) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 494.067 333.534 Tm [ (\135\056) -587.98 (When) -342.997 (the) ] TJ -185.205 -11.9551 Td [ (3D) -340.014 (model) -339.997 (is) -340.99 (obtained) -339.997 (via) -340.012 (SfM\054) -339.997 (as) -341.002 (is) -340.007 (typical) -339.997 (for) -339.982 (visual) -341.017 (lo\055) ] TJ 11.9547 TL T* [ (calization) -361.996 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 354.521 309.624 Tm (4) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 359.502 309.624 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 364.035 309.624 Tm (18) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 373.997 309.624 Tm (\054) Tj 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Tf 50.9758 0 Td (7) Tj /R37 9.9626 Tf 8.88594 0 Td [ (matches\051\056) -736.017 (F) 14.9926 (or) -392.013 (the) -390.984 (problem) -391.988 (of) -392.013 (localizing) -391.984 (a) ] TJ -59.8617 -11.9559 Td [ (generalized) -378.01 (camera\054) -377.981 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 396.882 491.059 Tm (26) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 406.844 491.059 Tm [ (\135) -378.02 (proposes) -377.991 (a) ] TJ /R90 9.9626 Tf 54.4539 0 Td (6) Tj /R37 9.9626 Tf 8.74687 0 Td [ (point) -377.986 (solution) -378.006 (that) ] TJ -161.183 -11.9551 Td [ (requires) -328.016 (prior) -328.014 (kno) 24.9909 (wledge) -328.014 (on) -328.014 (the) -328.014 (relati) 24.986 (v) 14.9828 (e) -327.989 (scale) -327.984 (of) -327.984 (the) -328.014 (cam\055) ] TJ 11.9551 TL T* [ (era\056) -522.001 (If) -321.013 (the) -320.018 (v) 14.9828 (ertical) -321 (direction) -320.981 (is) -320.01 (kno) 24.9909 (wn\054) -338.992 (only) ] TJ /R90 9.9626 Tf 180.068 0 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10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 528.478 383.463 Tm [ (\054) -253.992 (we) ] TJ -219.616 -11.9547 Td [ (introduce) -228.018 (a) -228.986 (solv) 15 (er) 19.9893 (\055selection) -228.021 (step) -229.006 (that) -227.986 (allo) 24.9909 (ws) -227.991 (the) -229.011 (use) -227.996 (of) -229.021 (these) ] TJ 11.9563 TL T* [ (type) -312.014 (of) -311.985 (solv) 15 (ers) -313.009 (only) -312.004 (when) -312.017 (the) -312.017 (current) -311.987 (state) -312.017 (of) -313.007 (the) -312.017 (problem) ] TJ 11.9551 TL T* [ (suggests) -339.005 (that) -338.007 (the) 14.9852 (y) -338.997 (ha) 19.9967 (v) 14.9828 (e) -337.988 (a) -339.007 (high) -337.998 (chance) -339.007 (of) -337.983 (success\054) -360.984 (thus) -339.017 (re\055) ] TJ T* [ (ducing) -250.015 (the) -249.99 (total) -250.015 (running) -250.007 (time) -250.012 (of) -249.997 (rob) 20.0016 (ust) -250.017 (pose) -249.988 (estimation\056) ] TJ /R35 9.9626 Tf 19.725 TL T* [ (Hybrid) -277.003 (pose) -276.01 (estimation\056) ] TJ /R37 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(which) -312.991 (is) -312.994 (the) -313 (best) -314.011 (solv) 15 (er) -313.014 (to) ] TJ 11.9551 TL T* [ (use) -249.991 (for) -249.999 (the) -249.99 (ne) 15.0183 (xt) -249.985 (iteration\077) ] TJ -12.4531 -11.9551 Td [ (3\056) -499.988 (When) -249.991 (should) -250.004 (we) -249.999 (terminate\077) ] TJ -7.47187 -12.0047 Td [ (F) 14.992 (or) -374.994 (the) -376.008 <02727374> -375.011 (question\054) -406.991 (we) -374.997 (adopt) -375.997 (a) -375.001 (classical) -375.018 (RANSA) 39.9909 (C) -376.003 (ap\055) ] TJ T* [ (proach\054) -517.006 (and) -463.995 (choose) -463.009 (the) -463.994 (best) -463.988 (model) -462.996 (as) -463.999 (the) -463.013 (one) -463.996 (with) -464.018 (the) ] TJ T* [ (highest) -377.004 (inlier) -377.997 (count) -377.017 (o) 14.9828 (v) 14.9828 (erall\054) -408.986 (taking) -377.991 (into) -377.011 (account) -376.986 (both) -377.993 (sets) ] TJ T* [ (of) -337 (matches\056) -572.982 (Notice) -336.989 (that) -338.007 (one) -336.996 (may) -336.99 (choose) -338.01 (a) -337.007 (dif) 24.986 (ferent) -337.985 (inlier) ] TJ T* [ (threshold) -250.004 (for) -249.999 (each) -250.006 (set) -249.989 (of) -249.996 (matches\056) ] TJ 11.9551 -12.0047 Td [ (The) -354.995 (issue) -354 (of) -354.998 (choosing) -355.004 (a) -353.985 (solv) 15.0012 (er) -355.007 (for) -355 (the) -354.012 (ne) 15.0171 (xt) -354.987 (iteration) -355.012 (is) ] TJ -11.9551 -11.9551 Td [ (tackled) -400.98 (using) -401.003 (a) -400.997 (probability\055guided) -401.004 (sampling) -400.987 (strate) 14.9852 (gy) 65.0186 (\056) -763.007 (At) ] TJ T* [ (each) -406.999 (iteration\054) -446.994 (a) -406.996 (solv) 15.0012 (er) -408.018 (is) -407.017 (chosen) -407.998 (according) -407.02 (to) -407.018 (its) -407.991 (proba\055) ] TJ T* [ (bility) -319.006 (of) -317.984 (succeeding) -318.99 (\050estimating) -319 (a) -319.01 (model) -318 (from) -318.996 (an) -319.006 (all\055inlier) ] TJ 258.75 629.037 Td [ (minimal) -221.995 (sample\051) -221.983 (at) -222 (this) -222.017 (iteration) -220.997 (for) -222.002 (the) -221.992 <02727374> -222.017 (time\056) -300.984 (The) -221.997 (intu\055) ] TJ T* [ (ition) -212.991 (behind) -213.001 (using) -212.014 (this) -212.999 (probability) -213.018 (is) -213.009 (that) -211.989 (we) -212.984 (w) 10.0032 (ant) -213.013 (our) -213.018 (solv) 15.0024 (er) ] TJ T* [ (to) -320.993 (be) -321.985 (as) -321.003 (e) 15.0122 (xploratory) -321.015 (as) -321.983 (possible) -321.005 (as) -321.005 (long) -322 (as) -321.005 (the) -320.995 (data) -321.981 (allo) 24.9909 (ws) ] TJ T* [ (it\056) -498.017 (Therefore\054) -329.011 (we) -313.009 (w) 10 (ould) -312.004 (lik) 10.0179 (e) -313.012 (to) -312.997 (select) -312.997 (a) -311.992 (solv) 15.0024 (er) -313.016 (with) -312.982 (a) -313.012 (high) ] TJ 11.9559 TL T* [ (chance) -274.981 (of) -275.991 (success) -275.003 (which) -276.018 (has) -275.008 (not) -276.013 (been) -275.013 (used) -275.983 (enough) -274.993 (to) -275.983 (ha) 19.9967 (v) 14.9828 (e) ] TJ 11.9551 TL T* [ (found) -328.007 (a) -327.009 (v) 24.9811 (alid) -328.009 (solution) -326.997 (yet\056) -542.998 (This) -326.98 (means) -328.009 (that) -328.009 (its) -326.985 (chances) -327.984 (of) ] TJ T* [ <026e64696e67> -224 (a) -224.007 (good) -225.002 (solution) -223.994 (for) -224.002 (the) -223.992 <02727374> -224.997 (time) -224.017 (should) -224.007 (be) -224.002 (high\056) -302.004 (W) 79.9866 (e) ] TJ T* [ (will) -250.012 (refer) -250.017 (to) -249.985 (this) -250.012 (probability) -249.993 (as) ] TJ /R47 9.9626 Tf 123.415 0 Td (success) Tj /R37 9.9626 Tf 32.3691 0 Td [ (probability) 65.0137 (\054) -249.993 (or) ] TJ /R54 9.9626 Tf 58.848 0 Td (P) Tj /R103 6.9738 Tf 6.39687 -1.49414 Td [ (s) -0.19605 ] TJ /R37 9.9626 Tf 4.25781 1.49414 Td (\056) Tj -213.332 -12.207 Td (Let) Tj /R54 9.9626 Tf 15.418 0 Td [ (s) -0.79889 ] TJ /R37 9.9626 Tf 6.80781 0 Td [ (be) -214.984 (a) -214.008 (solv) 15 (er) -214.991 (that) -213.989 (requires) -215.013 (a) -214.008 (minimal) -215.018 (set) -213.994 (of) ] TJ /R54 9.9626 Tf 161.304 0 Td [ (n) -0.20095 ] TJ /R37 9.9626 Tf 8.11797 0 Td (matches) Tj -203.603 -11.9551 Td (from) Tj /R101 9.9626 Tf 22.448 0 Td [ (M) -0.89936 ] TJ /R103 6.9738 Tf 11.9637 -1.49414 Td [ (r) -0.39909 ] TJ /R37 9.9626 Tf 7.49219 1.49414 Td (and) Tj /R54 9.9626 Tf 17.4668 0 Td (m) Tj /R37 9.9626 Tf 11.8281 0 Td [ (matches) -308.988 (from) ] TJ /R101 9.9626 Tf 58.1762 0 Td [ (M) -0.89691 ] TJ /R103 6.9738 Tf 11.9641 -1.49414 Td [ (p) -0.90321 ] TJ /R37 9.9626 Tf 4.60469 1.49414 Td [ (\056) -487.992 (Let) ] TJ /R54 9.9626 Tf 23.7102 0 Td [ (\042) -0.29897 ] TJ /R103 6.9738 Tf 4.64609 -1.49414 Td [ (r) -0.4061 ] TJ /R37 9.9626 Tf 7.4918 1.49414 Td (and) Tj /R54 9.9626 Tf 17.4672 0 Td [ (\042) -0.29897 ] TJ /R103 6.9738 Tf 4.64609 -1.49414 Td [ (p) -0.90321 ] TJ /R37 9.9626 Tf 7.68477 1.49414 Td [ (be) -309.007 (the) ] TJ -211.59 -11.9551 Td [ (true) -265.01 (inl) 1 (ier) -265.015 (ratios) -264.997 (of) -263.993 (the) -265.007 (sets) ] TJ /R101 9.9626 Tf 109.888 0 Td [ (M) -0.89691 ] TJ /R103 6.9738 Tf 11.9641 -1.49492 Td [ (r) -0.4061 ] TJ /R37 9.9626 Tf 7.04688 1.49492 Td (and) Tj /R101 9.9626 Tf 17.0219 0 Td [ (M) -0.89691 ] TJ /R103 6.9738 Tf 11.9641 -1.49492 Td [ (p) -0.90321 ] TJ /R37 9.9626 Tf 4.60508 1.49492 Td [ (\054) -267.99 (respecti) 24.986 (v) 14.9828 (ely) 65.0186 (\056) -354.014 (The) ] TJ -162.49 -11.9551 Td [ (probability) -299.982 (of) -299.006 (sampling) -299.984 (an) -299.009 (all\055inlier) -300.004 (minimal) -299.984 (s) 0.98513 (et) -299.984 (for) -299.989 (solv) 15.0024 (er) ] TJ /R54 9.9626 Tf 11.9559 TL T* [ (s) -0.79889 ] TJ /R37 9.9626 Tf 7.63281 0 Td [ (at) -297.007 (an) 15.0171 (y) -297.985 (iteration) -296.982 (is) -298.016 (gi) 24.9885 (v) 14.9828 (en) -297.009 (by) ] TJ /R54 9.9626 Tf 110.759 0 Td [ (\042) -0.29897 ] TJ /R103 6.9738 Tf 4.64609 3.61602 Td [ (n) -0.20305 ] TJ 6.07813 TL T* [ (r) -0.4061 ] TJ /R54 9.9626 Tf 5.42305 2.46211 Td [ (\042) -0.29897 ] TJ /R103 6.9738 Tf 4.64492 3.61602 Td [ (m) -0.70017 ] TJ T* [ (p) -0.90321 ] TJ /R37 9.9626 Tf 7.56797 2.46211 Td [ (\056) -451.998 (The) -297.985 (probability) -297.004 (of) -297.009 (the) ] TJ -140.674 -11.9551 Td [ (solv) 15 (er) -408.018 (not) -407.993 (ha) 19.9967 (ving) -407.988 (seen) -408.008 (an) -408.01 (all\055inlier) -407.986 (set) -408 (by) -408.981 (iterati) 0.99493 (on) ] TJ /R54 9.9626 Tf 216.095 0 Td [ (k) -0.59794 ] TJ /R103 6.9738 Tf 5.18594 -1.49414 Td [ (s) -0.19605 ] TJ /R37 9.9626 Tf 8.32383 1.49414 Td (is) Tj -229.605 -11.9551 Td [ (gi) 24.9885 (v) 14.9828 (en) -333.983 (by) ] TJ /R90 9.9626 Tf 38.3512 0 Td [ (\050) -0.90181 (1) ] TJ /R101 9.9626 Tf 11.6871 0 Td [ <00> -0.79889 ] TJ /R54 9.9626 Tf 10.5809 0 Td [ (\042) -0.29897 ] TJ /R103 6.9738 Tf 4.64492 3.61484 Td [ (n) -0.19955 ] TJ T* [ (r) -0.39909 ] TJ /R54 9.9626 Tf 5.42305 2.46289 Td [ (\042) -0.29897 ] TJ /R103 6.9738 Tf 4.64609 3.61484 Td [ (m) -0.70017 ] TJ T* [ (p) -0.89971 ] TJ /R90 9.9626 Tf 7.56797 2.46289 Td [ (\051) -0.90181 ] TJ /R103 6.9738 Tf 3.87383 3.61484 Td [ (k) -0.29757 ] TJ /R105 4.9813 Tf 4.23633 -0.9957 Td (s) Tj /R107 6.9738 Tf 3.83594 0.9957 Td [ <00> -0.90321 ] TJ /R109 6.9738 Tf 6.22695 0 Td [ (1) -0.49712 ] TJ /R37 9.9626 Tf 4.46875 -3.61484 Td [ (\056) -561 (It) -334.018 (follo) 24.9958 (ws) -334.013 (then) -332.989 (that) -334.008 (the) -334.013 (proba\055) ] TJ -105.543 -11.9551 Td (bility) Tj /R54 9.9626 Tf 23.2832 0 Td (P) Tj /R103 6.9738 Tf 6.39609 -1.49492 Td [ (s) -0.19955 ] TJ /R37 9.9626 Tf 6.5 1.49492 Td [ (of) -225.019 (choosing) -224.987 (a) -224.987 (good) -225.002 (sample) -225.002 (at) -225.016 (iteration) ] TJ /R54 9.9626 Tf 152.937 0 Td [ (k) -0.59794 ] TJ /R103 6.9738 Tf 5.18711 -1.49492 Td [ (s) -0.19605 ] TJ /R37 9.9626 Tf 6.5 1.49492 Td [ (of) -225.021 (model) ] TJ /R54 9.9626 Tf -200.803 -11.9551 Td [ (s) -0.79889 ] TJ /R37 9.9626 Tf 7.16133 0 Td [ (for) -250 (the) -249.99 <02727374> -250.012 (time) -250.015 (is) -249.985 (gi) 24.9885 (v) 14.9828 (en) -249.997 (by) ] TJ /R54 9.9626 Tf 51.0008 -22.4207 Td (P) Tj /R103 6.9738 Tf 6.39609 -1.49531 Td [ (s) -0.19955 ] TJ /R90 9.9626 Tf 7.02617 1.49531 Td [ (\075) -0.79889 ] TJ /R54 9.9626 Tf 10.5156 0 Td [ (\042) -0.29897 ] TJ /R103 6.9738 Tf 4.64609 4.11289 Td [ (n) -0.19955 ] TJ 6.57617 TL T* [ (r) -0.39909 ] TJ /R54 9.9626 Tf 5.42305 2.46328 Td [ (\042) -0.29897 ] TJ /R103 6.9738 Tf 4.64609 4.11289 Td [ (m) -0.70017 ] TJ T* [ (p) -0.90321 ] TJ /R90 9.9626 Tf 7.5668 2.46289 Td [ (\050) -0.90181 (1) ] TJ /R101 9.9626 Tf 11.0703 0 Td [ <00> -0.80379 ] TJ /R54 9.9626 Tf 9.96289 0 Td [ (\042) -0.29897 ] TJ /R103 6.9738 Tf 4.64492 4.11289 Td [ (n) -0.20305 ] TJ T* [ (r) -0.4061 ] TJ /R54 9.9626 Tf 5.42305 2.46289 Td [ (\042) -0.29897 ] TJ /R103 6.9738 Tf 4.64609 4.11289 Td [ (m) -0.70017 ] TJ T* [ (p) -0.90321 ] TJ /R90 9.9626 Tf 7.56797 2.46289 Td [ (\051) -0.90181 ] TJ /R103 6.9738 Tf 3.87383 4.11289 Td [ (k) -0.30107 ] TJ /R105 4.9813 Tf 4.23594 -0.9957 Td [ (s) -0.10783 ] TJ /R107 6.9738 Tf 3.83594 0.9957 Td [ <00> -0.90321 ] TJ /R109 6.9738 Tf 6.22734 0 Td [ (1) -0.49712 ] TJ /R54 9.9626 Tf 9.45 -4.11289 Td [ (\072) -0.80379 ] TJ /R37 9.9626 Tf 49.3137 0 Td (\0501\051) Tj -224.634 -22.4219 Td [ (Since) -403.014 (the) -402.004 (true) -402.987 (inlier) -403.011 (ratios) -401.992 (are) -403.001 (unkno) 25 (wn\054) -441.015 (the) 14.9877 (y) -402.006 (can) -402.996 (be) -402.992 (re\055) ] TJ 11.9551 TL T* [ (placed) -342.997 (by) -342.012 (the) -342.994 (estimated) -341.99 (inlier) -342.982 (ratios) ] TJ /R90 9.9626 Tf 150.632 0 Td (\136) Tj /R54 9.9626 Tf -0.66289 0 Td [ (\042) -0.29897 ] TJ /R103 6.9738 Tf 4.64609 -1.49414 Td [ (r) -0.4061 ] TJ /R37 9.9626 Tf 7.82383 1.49414 Td (and) Tj /R90 9.9626 Tf 18.4621 0 Td (\136) Tj /R54 9.9626 Tf -0.66289 0 Td [ (\042) -0.29897 ] TJ /R103 6.9738 Tf 4.6457 -1.49414 Td [ (p) -0.90321 ] TJ /R37 9.9626 Tf 8.01836 1.49414 Td [ (of) -343.002 (the) -342.012 (best) ] TJ -192.902 -11.9551 Td [ (model) -417.984 (found) -417.011 (so) -417.996 (f) 9.99588 (ar) 55.0031 (\056) -813 (In) -418.006 (order) -416.989 (to) -417.999 (compute) ] TJ /R54 9.9626 Tf 178.516 0 Td (P) Tj /R103 6.9738 Tf 6.39727 -1.49375 Td [ (s) -0.19605 ] TJ /R37 9.9626 Tf 4.25781 1.49375 Td [ (\054) -459.997 (RANSA) 39.9884 (C) ] TJ -189.171 -11.9551 Td [ (needs) -217.995 (to) -217.991 (k) 10.0032 (eep) -216.986 (track) -218.003 (of) -218 (ho) 24.986 (w) -217.998 (man) 14.9926 (y) -217.998 (times) -216.993 (each) -218.013 (solv) 15.0024 (er) -218.013 (has) -217.998 (been) ] TJ T* [ (chosen) -304.015 (in) -304.996 (the) -303.981 (past\056) -473.002 (Therefore\054) -317.991 (for) -303.988 (each) -303.998 (solv) 15.0024 (er) ] TJ /R54 9.9626 Tf 188.031 0 Td [ (s) -0.79889 ] TJ /R37 9.9626 Tf 4.66992 0 Td [ (\054) -317.981 (a) -303.993 (number) ] TJ -192.701 -11.9551 Td [ (of) -386.012 (iterations) ] TJ /R54 9.9626 Tf 53.0652 0 Td [ (k) -0.60039 ] TJ /R103 6.9738 Tf 5.18711 -1.49492 Td [ (s) -0.19955 ] TJ /R37 9.9626 Tf 8.10078 1.49492 Td [ (has) -386.007 (to) -386.002 (be) -384.995 (stored\056) -718.017 (Notice) -384.98 (that) -386 (the) -386.004 (more) -384.985 (a) ] TJ -66.3527 -11.9563 Td [ (solv) 15 (er) -278 (is) -278.02 (used\054) -284.997 (the) -277.985 (less) -278.017 (lik) 10.0179 (ely) -277.983 (it) -278.017 (is) -278.017 (to) -277.983 (be) -279.012 (chosen) -278.017 (in) -277.983 (later) -277.993 (iter) 20.0016 (\055) ] TJ T* [ (ations\054) -367.007 (therefore) -343.987 (allo) 24.9909 (wing) -344.001 (RANSA) 39.9884 (C) -344.006 (to) -344.011 (e) 25.0105 (v) 14.9828 (entually) -343.992 (e) 15.0122 (xplore) ] TJ T* [ (pre) 25.013 (viously) -249.995 (unused) -250.015 (solv) 15 (ers\056) ] TJ 11.9547 -12.207 Td [ (Another) -304.011 (f) 9.99588 (actor) -303.988 (that) -304.013 (should) -303.993 (af) 25.0056 (fect) -303.993 (the) -303.979 (choice) -303.984 (of) -303.988 (solv) 15.0024 (er) -303.998 (is) ] TJ -11.9547 -11.9551 Td [ (the) -257.989 (quality) -258.004 (of) -257.994 (the) -257.989 (solv) 15 (er) -258.004 (itself\054) ] TJ /R47 9.9626 Tf 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-249.984 (model) ] TJ /R103 6.9738 Tf 32.1559 0 Td [ <12> -0.09977 ] TJ /R152 4.9813 Tf 4.01016 3.00703 Td [ <03> -0.10047 ] TJ ET Q 501.121 5385.14 m 2863.62 5385.14 l S q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 50.1121 522.365 Tm [ (Thus\054) -312.984 (our) -299.982 (RANSA) 39.9897 (C) -300.015 (v) 24.9811 (ariant) -299.982 (stops) -299.999 (when) -299.982 (at) -299.987 (least) -300.016 (one) -299.984 (solv) 15 (er) ] TJ /R54 9.9626 Tf 11.9559 TL T* [ (s) -0.80011 ] TJ /R37 9.9626 Tf 7.56875 0 Td [ (has) -291.004 (been) -291.009 (chosen) ] TJ /R111 9.9626 Tf 68.4531 0 Td [ (K) -0.39944 ] TJ /R103 6.9738 Tf 8.98008 -1.49414 Td [ (s) -0.2013 ] TJ /R37 9.9626 Tf 7.15781 1.49414 Td [ (times\054) -301.017 (as) -291.009 (this) -290.985 (means) -290.996 (that) -290.996 (a) -291.015 (good) -290.991 (so\055) ] TJ -92.1598 -11.9551 Td [ (lution) -232.983 (for) -232.982 (the) -233.012 (current) -231.998 (inlier) -233.002 (ratios) -233.002 (has) -233.013 (been) -233.017 (found) -233.003 (with) -232.998 (prob\055) ] TJ 11.9547 TL (ability) ' /R54 9.9626 Tf 29.2867 0 Td (P) Tj /R37 9.9626 Tf 7.78008 0 Td [ (\056) -711.016 (Note) -384.003 (that) -383.019 (at) -384.012 (e) 25.0105 (v) 14.9828 (ery) -384.017 (iteration\054) -417 (the) -384.007 (number) -383.015 (of) -384.012 (it\055) ] TJ -37.0668 -11.9551 Td (erations) Tj /R54 9.9626 Tf 34.8707 0 Td [ (k) -0.59978 ] TJ /R103 6.9738 Tf 5.18711 -1.49492 Td [ (s) -0.19955 ] TJ /R37 9.9626 Tf 7.58906 1.49492 Td [ (for) -333.985 (the) -334.996 (l) 0.98758 (ast) -334.994 (chosen) -334.01 (solv) 15.0012 (er) ] TJ /R54 9.9626 Tf 106.144 0 Td [ (s) -0.79889 ] TJ /R37 9.9626 Tf 8.00078 0 Td [ (has) -334.015 (to) -334.01 (be) -335.003 (updated\054) ] TJ -161.792 -11.9551 Td [ (and\054) -279.985 (if) -273.99 (the) -275.005 (m) 0.99248 (odel) -275 (found) -274.016 (is) -274.019 (better) -273.986 (than) -273.981 (the) -273.986 (best) -274.998 (model) -274.008 (found) ] TJ T* [ (so) -352.009 (f) 9.99527 (ar) 39.986 (\054) -378.013 (the) -352.012 (maximum) -352.01 (number) -352 (of) -352.018 (iterations) ] TJ /R111 9.9626 Tf 175.114 0 Td [ (K) -0.40189 ] TJ /R103 6.9738 Tf 8.98086 -1.49492 Td [ (s) -0.19955 ] TJ /R152 4.9813 Tf 3.76016 1.99297 Td [ (0) -1 ] TJ /R37 9.9626 Tf 6.70078 -0.49805 Td [ (is) -352.007 (updated) ] TJ -194.556 -11.9559 Td [ (for) -305.989 (all) -306.018 (solv) 15.0012 (ers) ] TJ /R54 9.9626 Tf 58.8039 0 Td [ (s) -0.80011 ] TJ /R107 6.9738 Tf 4.66992 3.61602 Td [ (0) -0.39909 ] TJ /R101 9.9626 Tf 6.59922 -3.61602 Td [ (2) -382.687 (S) -0.60039 ] TJ /R37 9.9626 Tf 17.225 0 Td [ (\056) -479.016 (The) -305.983 (chosen) -306.015 (termination) -305.983 (criterion) -306.01 (is) ] TJ -87.298 -11.9551 Td [ (optimistic) -363.997 (in) -364.005 (the) -364.991 (sense) -364.009 (that) -364.003 (it) -364.003 (stops) -365.008 (as) -364.015 (soon) -363.996 (as) -364.015 (one) -364.993 (solv) 15 (er) ] TJ T* [ (is) -269.981 <026e69736865642e> -372.015 (Its) -269.984 (pessimist) -269.981 (counterpart) -270.999 (w) 10 (ould) -270.011 (ha) 19.9967 (v) 14.9828 (e) -271.018 (RANSA) 39.9909 (C) ] TJ T* [ (run) -279.006 (for) -279.013 (as) -279.01 (long) -278.99 (as) -277.992 (necessary) -279.011 (for) -279.013 (each) -278.982 (solv) 15 (er) -278.98 (to) -279 (complete) -278.988 (its) ] TJ T* [ (iterations\056) -434.99 (W) 79.9879 (e) -291.995 (ar) 17.9896 (gue) -291.004 (that) -292.015 (this) -292.004 (is) -290.997 (unnecessary) 64.9818 (\054) -301.986 (as) -291.988 (this) -292.005 (w) 10 (ould) ] TJ 11.9559 TL T* [ (require) -339.981 (RANSA) 39.9897 (C) -338.989 (to) -340.009 (w) 10 (ait) -340.012 (for) -339.984 (the) -338.995 (most) -339.992 (unsuited) -339.985 (solv) 15 (ers) -339.985 (to) ] TJ 11.9551 TL T* [ <026e697368> -365 (e) 25.0111 (v) 14.9828 (en) -364.017 (though) -365.005 (their) -364.005 (chances) -365 (of) -364.016 <026e64696e67> -364.995 (a) -363.983 (v) 24.9811 (alid) -364.983 (model) ] TJ T* [ (are) -361.99 (v) 14.9828 (ery) -361.981 (lo) 24.9885 (w) -362.015 (\050therefore) -361.007 (needing) -362 (more) -362.008 (iterations\051\056) -646.017 (Indeed\054) ] TJ T* [ (when) -243.99 (a) -244.983 (solv) 15.0012 (er) -244.006 (is) -245.004 (called) -243.992 (v) 14.9828 (ery) -244.981 (fe) 25.0081 (w) -243.996 (times\054) -244.987 (it) -245.003 (is) -243.986 (usually) -244.986 (because) ] TJ T* [ (it) -342.987 (relies) -342.013 (on) -342.992 (the) -342.014 (set) -342.993 (of) -343 (matches) -342.004 (with) -343.019 (the) -342.994 (lo) 24.9885 (west) -342.009 (inlier) -342.982 (ratio\054) ] TJ T* [ (therefore) -301.994 (it) -302.994 (is) -302.015 (unsuited) -301.992 (for) -303.009 (this) -302.002 (particular) -302.016 (data\056) -467.015 (In) -303.006 (practice\054) ] TJ 11.9563 TL T* [ (the) -263.007 (optimistic) -262.014 (criterion) -263 (allo) 24.9909 (ws) -263.006 (for) -263.016 (a) -262 (good) -262.995 (trade\055of) 25.013 (f) -263.017 (between) ] TJ 11.9547 TL T* [ (accurac) 14.9969 (y) -394.988 (and) -396.006 (run\055time\054) -432.017 (as) -394.992 (will) -395.988 (be) -394.992 (sho) 24.9934 (wn) -394.986 (in) -396 (Sec\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 255.959 295.216 Tm (5) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 260.94 295.216 Tm [ (\056) -747.01 (Our) ] TJ -210.828 -11.9551 Td [ (RANSA) 39.9903 (C) -249.984 (v) 24.9811 (ariant) -249.99 (is) -249.984 (presented) -249.985 (in) -249.985 (Alg\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 202.49 283.261 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 207.471 283.261 Tm (\056) Tj /R35 11.9552 Tf -157.359 -26.9141 Td [ (4\056) -249.99 (Hybrid) -249.998 (Minimal) -250 (Solv) 10.0034 (ers) ] TJ /R37 9.9626 Tf 11.9551 -19.9301 Td [ (In) -249.996 (this) -248.992 (section) -250.015 (we) -249.018 (detail) -250.018 (the) -249.01 (deri) 24.9811 (v) 24.9811 (ation) -250.017 (of) -249.995 (all) -249.007 (ne) 25.0154 (w) -249.995 (solv) 15 (ers) ] TJ -11.9551 -11.9551 Td [ (which) -324.008 (are) -323.997 (required) -324.017 (for) -323.986 (our) -324.017 (RANSA) 39.9897 (C) -324.011 (v) 24.9811 (ariant) -324.017 (\050) ] TJ /R47 9.9626 Tf 187.942 0 Td (c\056f) Tj /R37 9.9626 Tf 11.1383 0 Td [ (\056) -323.983 (Alg\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 275.573 224.462 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 280.554 224.462 Tm (\051\056) Tj -230.442 -11.9547 Td [ (Gi) 24.986 (v) 14.9828 (en) -364.017 (a) -365.002 (combination) -364.007 (of) ] TJ /R54 9.9626 Tf 101.007 0 Td [ (n) -0.19972 ] TJ /R37 9.9626 Tf 9.60977 0 Td [ (2D\0552D) -364.005 (matches) -364.981 (and) ] TJ /R54 9.9626 Tf 85.5891 0 Td (m) Tj /R37 9.9626 Tf 12.3781 0 Td (2D\0553D) Tj -208.584 -11.9551 Td [ (matches\054) -238.999 (we) -236.001 (ha) 19.9979 (v) 14.9828 (e) ] TJ /R90 9.9626 Tf 72.3027 0 Td (2) Tj /R54 9.9626 Tf 4.98125 0 Td (m) Tj /R90 9.9626 Tf 10.4527 0 Td [ (\053) -0.80011 ] TJ /R54 9.9626 Tf 9.4543 0 Td [ (n) -0.19972 ] TJ /R37 9.9626 Tf 8.33281 0 Td [ (constraints\072) -303.003 (A) -235.997 (2D\0552D) -237.007 (ma) 0.98758 (tch) -237.012 (will) ] TJ -105.524 -11.9563 Td [ (pro) 14.9846 (vide) -340.989 (1) -340.997 (algebra) 0.98145 (ic) -341 (constraint) -341.01 (on) -340.992 (the) -340.014 (pose) -340.99 (while) -340.985 (a) -341.007 (2D\0553D) ] TJ 11.9547 TL T* [ (match) -292.014 (will) -290.986 (pro) 14.9852 (vide) -292.017 (2) -291.005 (constraints\056) -434.986 (If) ] TJ /R54 9.9626 Tf 146.265 0 Td [ (d) -0.49992 ] TJ /R37 9.9626 Tf 8.08984 0 Td [ (is) -292.017 (the) -291.003 (number) -292.01 (of) -291.008 (de\055) ] TJ -154.355 -11.9551 Td [ (grees) -333.984 (of) -333.982 (freedom) -334.015 (of) -333.982 (the) -334.015 (camera) -333.992 (pose\054) -354.985 (we) -333.986 (are) -333.996 (interested) -334 (in) ] TJ T* [ (the) -332.995 (cases) -331.984 (where) ] TJ /R90 9.9626 Tf 67.475 0 Td (2) Tj /R54 9.9626 Tf 4.98203 0 Td (m) Tj /R90 9.9626 Tf 11.5707 0 Td [ (\053) -0.80011 ] TJ /R54 9.9626 Tf 10.5723 0 Td [ (n) -0.19972 ] TJ /R90 9.9626 Tf 10.2719 0 Td [ (\075) -0.80011 ] TJ /R54 9.9626 Tf 12.041 0 Td [ (d) -0.49992 ] TJ /R37 9.9626 Tf 5.18516 0 Td (\054) Tj /R47 9.9626 Tf 6.00977 0 Td (i\056e) Tj /R37 9.9626 Tf 9.68398 0 Td [ (\056\054) -352.995 (minimal) -332.996 (problems\056) -557.99 (In) ] TJ -137.792 -11.9551 Td [ (this) -314 (paper) -315.008 (we) -313.988 (will) -314.002 (focus) -314.998 (on) ] TJ /R90 9.9626 Tf 113.974 0 Td (4) Tj /R37 9.9626 Tf 8.11289 0 Td [ (dif) 24.9848 (ferent) -313.989 (pose) -314.994 (problems\054) -329.989 (de\055) ] TJ -122.087 -11.9559 Td [ (pending) -311.019 (on) -310.017 (what) -310.996 (is) -310.013 (assumed) -310.981 (as) -311.006 (prior) -310.016 (kno) 24.9909 (wledge) -310.995 (re) 15.0098 (g) 4.98446 (arding) ] TJ T* [ (the) -308.019 (pose) -306.996 (\050) ] TJ /R47 9.9626 Tf 39.882 0 Td (c\056f) Tj /R37 9.9626 Tf 11.1379 0 Td [ (\056) -307.985 (T) 79.9903 (able) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 131.638 116.865 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 136.619 116.865 Tm [ (\051\056) -483.019 (The) -307.983 <02727374> -306.983 (problem\054) -321.995 (referred) -308.01 (here) -307.995 (as) ] TJ /R35 8.9664 Tf -86.2828 -11.9551 Td (P) Tj /R35 7.1731 Tf 5.92695 0 Td [ (R) -32.0105 (O) -61.9984 (B) -60.9798 (L) -62.0145 (E) -62.0145 (M) ] TJ /R156 8.9664 Tf 36.1539 0 Td [ (6) -0.69977 ] TJ /R35 8.9664 Tf 5.5293 0 Td (\055) Tj /R35 7.9701 Tf 3.40898 0 Td (D) Tj /R35 6.3761 Tf 6.15273 0 Td (O) Tj /R35 7.9701 Tf 5.35625 0 Td (F) Tj /R37 9.9626 Tf 5.06875 0 Td [ (\054) -233.017 (is) -227.988 (the) -227.994 (case) -228.009 (of) -228 (a) -228.986 (generalized) -227.996 (camera) -228.009 (where) ] TJ -67.8207 -11.9551 Td [ (only) -234.017 (its) -234.019 (rotation) -234.01 (and) -233.994 (translation) -234.001 (are) -234.012 (unkno) 25 (wn\054) -237.009 (and) -233.995 (so) ] TJ /R54 9.9626 Tf 210.309 0 Td [ (d) -0.49992 ] TJ /R90 9.9626 Tf 7.95273 0 Td [ (\075) -278.784 (6) ] TJ /R37 9.9626 Tf 15.4973 0 Td (\056) Tj -233.759 -11.9547 Td [ (Notice) -290.017 (that) -288.995 (the) -289.983 (problem) -290.003 (of) -289.99 (single) -288.985 (central) -289.988 (camera) -289.998 (pose) -290.018 (esti\055) ] TJ 258.75 629.037 Td [ (mation) -278 (is) -277 (a) -277.998 <73706563690263> -276.993 (case) -278 (of) -277.013 (this) -278.008 (problem\056) ] TJ /R35 8.9664 Tf 168.21 0 Td (P) Tj /R35 7.1731 Tf 5.92734 0 Td [ (R) -32.0139 (O) -62 (B) -60.9781 (L) -62.0128 (E) -62.0128 (M) ] TJ /R156 8.9664 Tf 36.5969 0 Td [ (4) -0.70249 ] TJ /R35 8.9664 Tf 5.52891 0 Td (\055) Tj /R35 7.9701 Tf 3.40898 0 Td (D) Tj /R35 6.3761 Tf 6.15313 0 Td (O) Tj /R35 7.9701 Tf 5.35586 0 Td (F) Tj /R37 9.9626 Tf -231.181 -11.9547 Td (has) Tj /R54 9.9626 Tf 16.3648 0 Td [ (d) -0.49992 ] TJ /R90 9.9626 Tf 9.05195 0 Td [ (\075) -388.805 (4) ] TJ /R37 9.9626 Tf 19.682 0 Td [ (and) -309.983 (refers) -309.02 (to) -310.014 (the) ] TJ /R47 9.9626 Tf 69.3242 0 Td (upright) Tj /R37 9.9626 Tf 32.6039 0 Td [ (case) -309.992 (of) -309.007 (a) -309.992 (kno) 24.9909 (wn\055scale) ] TJ -147.027 -11.9551 Td (camera\054) Tj /R47 9.9626 Tf 34.4719 0 Td (i\056e) Tj /R37 9.9626 Tf 9.68398 0 Td [ (\056\054) -323 (where) -309.012 (the) -308.02 (v) 14.9828 (ertical) -309.002 (direction) -308.003 (is) -308.993 (kno) 24.9909 (wn\056) ] TJ /R35 8.9664 Tf 166.298 0 Td (P) Tj /R35 7.1731 Tf 5.92695 0 Td [ (R) -32.0139 (O) -62 (B) ] TJ /R35 8.9664 Tf 16.659 0 Td (\055) Tj /R35 7.1731 Tf -232.816 -11.9551 Td [ (L) -62.0162 (E) -62.0162 (M) ] TJ /R156 8.9664 Tf 19.7941 0 Td [ (7) -0.69977 ] TJ /R35 8.9664 Tf 5.53008 0 Td (\055) Tj /R35 7.9701 Tf 3.40898 0 Td (D) Tj /R35 6.3761 Tf 6.15273 0 Td (O) Tj /R35 7.9701 Tf 5.35508 0 Td (F) Tj /R37 9.9626 Tf 7.67617 0 Td [ (is) -261.983 (the) -261.008 (problem) -262.01 (where) -261.02 (we) -261.995 (do) -261.986 (not) -260.996 (kno) 24.9909 (w) -261.991 (the) -261.986 (scale) ] TJ -48.141 -11.9559 Td [ (of) -315.984 (the) -316.018 (generalized) -315.982 (camera) -315.016 (w) 65.0137 (\056r) 55.0104 (\056t\056) -316.016 (to) -316.016 (the) -316.016 (map\056) -508.018 (Thus\054) -331.999 (for) -315.986 (this) ] TJ 11.9551 TL (problem) ' /R54 9.9626 Tf 36.602 0 Td [ (d) -0.49992 ] TJ /R90 9.9626 Tf 9.63203 0 Td [ (\075) -446.796 (7) ] TJ /R37 9.9626 Tf 17.177 0 Td [ (\056) -582.998 (Finally) -341 (with) ] TJ /R54 9.9626 Tf 61.041 0 Td [ (d) -0.49992 ] TJ /R90 9.9626 Tf 9.63203 0 Td [ (\075) -446.798 (5) ] TJ /R37 9.9626 Tf 17.1758 0 Td (\054) Tj /R35 8.9664 Tf 6.33906 0 Td (P) Tj /R35 7.1731 Tf 5.92695 0 Td [ (R) -32.0139 (O) -62 (B) -60.9781 (L) -62.0128 (E) -62.0128 (M) ] TJ /R156 8.9664 Tf 37.1652 0 Td [ (5) -0.70249 ] TJ /R35 8.9664 Tf 5.53008 0 Td (\055) Tj /R35 7.9701 Tf 3.40898 0 Td (D) Tj /R35 6.3761 Tf 6.15273 0 Td (O) Tj /R35 7.9701 Tf 5.35625 0 Td (F) Tj /R37 9.9626 Tf 8.46602 0 Td (is) Tj -229.605 -11.9551 Td [ (the) -324.997 (upright) -325.012 (v) 14.9828 (ersion) -324.99 (of) ] TJ /R35 8.9664 Tf 91.6168 0 Td (P) Tj /R35 7.1731 Tf 5.92734 0 Td [ (R) -32.0139 (O) -62 (B) -60.9781 (L) -62.0128 (E) -62.0128 (M) ] TJ /R156 8.9664 Tf 37.023 0 Td [ (7) -0.70249 ] TJ /R35 8.9664 Tf 5.52969 0 Td (\055) Tj /R35 7.9701 Tf 3.40898 0 Td (D) Tj /R35 6.3761 Tf 6.15313 0 Td (O) Tj /R35 7.9701 Tf 5.35586 0 Td (F) Tj /R37 9.9626 Tf 5.06914 0 Td (\054) Tj /R47 9.9626 Tf 5.9168 0 Td (i\056e) Tj /R37 9.9626 Tf 9.6832 0 Td [ (\056\054) -344.016 (we) -325.005 (kno) 24.9909 (w) -325 (the) ] TJ -175.684 -11.9551 Td [ (v) 14.9828 (ertical) -249.993 (direction) -250.012 (b) 20.0016 (ut) -249.985 (not) -250.02 (the) -249.988 (scale\056) ] TJ ET Q 3593.51 6215.7 m 5148.63 6215.7 l S 3593.51 6127.78 m 3593.51 6217.69 l S q 10 0 0 10 0 0 cm BT /R35 7.9701 Tf 1 0 0 1 362.34 610.885 Tm [ (U) -750.005 (S) ] TJ ET Q 3814.92 6127.78 m 3814.92 6217.69 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 384.481 615.475 Tm [ (\043) -250.019 (Matches) ] TJ ET Q 4204.5 6127.78 m 4204.5 6217.69 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 427.045 610.885 Tm (Name) Tj ET Q 4526.72 6127.78 m 4526.72 6217.69 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 455.661 610.885 Tm (Reference) Tj ET Q 4909.53 6127.78 m 4909.53 6217.69 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 493.941 615.475 Tm (Num\056) Tj 1.10391 -8.99102 Td (Sols\056) Tj ET Q 5148.63 6127.78 m 5148.63 6217.69 l S 3593.51 6037.87 m 3593.51 6127.78 l S 3814.92 6037.87 m 3814.92 6127.78 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 384.481 606.484 Tm [ (2D) -1222 (3D) ] TJ ET Q 4204.5 6037.87 m 4204.5 6127.78 l S 4526.72 6037.87 m 4526.72 6127.78 l S 4909.53 6037.87 m 4909.53 6127.78 l S 5148.63 6037.87 m 5148.63 6127.78 l S 3391.11 6035.88 m 5148.63 6035.88 l S 3391.11 5938.02 m 3391.11 6033.89 l S q 10 0 0 10 0 0 cm BT /R35 6.9738 Tf 0 1 -1 0 346.79 570.811 Tm (P) Tj /R35 5.5791 Tf 4.61016 0 Td [ (R) -31.9972 (O) -61.9815 (B) -61.0275 (L) -62.0077 (E) -62.0077 (M) ] TJ /R154 6.9738 Tf -1.54297 -9.46484 Td [ (6) -0.19605 ] TJ /R35 6.9738 Tf 4.68789 0 Td [ (\055) -50.0198 (D) ] TJ /R35 5.5791 Tf 8.05391 0 Td (O) Tj /R35 6.9738 Tf 4.68711 0 Td (F) Tj ET Q 3593.51 5938.02 m 3593.51 6033.89 l S 3814.92 5938.02 m 3814.92 6033.89 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 596.499 Tm [ (0) -1944 (3) ] TJ ET Q 4204.5 5938.02 m 4204.5 6033.89 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 425.491 596.499 Tm (\050g\051P3P) Tj ET Q 4526.72 5938.02 m 4526.72 6033.89 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 459.674 596.499 Tm (\133) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 462.328 596.499 Tm (14) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 470.298 596.499 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 473.327 596.499 Tm (16) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 481.297 596.499 Tm (\135) Tj ET Q 4909.53 5938.02 m 4909.53 6033.89 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 496.071 596.499 Tm (4\0578) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 5.9776 Tf 1 0 0 1 506.257 599.312 Tm (1) Tj ET Q 5148.63 5938.02 m 5148.63 6033.89 l S 3391.11 5848.1 m 3391.11 5938.01 l S 3593.51 5848.1 m 3593.51 5938.01 l S 3814.92 5848.1 m 3814.92 5938.01 l S 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 587.508 Tm [ (2) -1944 (2) ] TJ ET Q 4204.5 5848.1 m 4204.5 5938.01 l S q 10 0 0 10 0 0 cm BT /R35 7.9701 Tf 1 0 0 1 429.476 587.508 Tm (H22) Tj ET Q 4526.72 5848.1 m 4526.72 5938.01 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 459.084 587.508 Tm (Sec\056) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 474.578 587.508 Tm (4\0562) Tj ET Q 4909.53 5848.1 m 4909.53 5938.01 l S 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 498.923 587.508 Tm (16) Tj ET Q 5148.63 5848.1 m 5148.63 5938.01 l S 3391.11 5758.19 m 3391.11 5848.1 l S 3593.51 5758.19 m 3593.51 5848.1 l S 3814.92 5758.19 m 3814.92 5848.1 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 578.516 Tm [ (4) -1944 (1) ] TJ ET Q 4204.5 5758.19 m 4204.5 5848.1 l S q 10 0 0 10 0 0 cm BT /R35 7.9701 Tf 1 0 0 1 429.476 578.516 Tm (H41) Tj ET Q 4526.72 5758.19 m 4526.72 5848.1 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 459.084 578.516 Tm (Sec\056) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 474.578 578.516 Tm (4\0562) Tj ET Q 4909.53 5758.19 m 4909.53 5848.1 l S 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 498.923 578.516 Tm (32) Tj ET Q 5148.63 5758.19 m 5148.63 5848.1 l S 3391.11 5662.32 m 3391.11 5758.19 l S 3593.51 5662.32 m 3593.51 5758.19 l S 3814.92 5662.32 m 3814.92 5758.19 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 568.93 Tm [ (6) -1944 (0) ] TJ ET Q 4204.5 5662.32 m 4204.5 5758.19 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 425.933 568.93 Tm (Strless) Tj ET Q 4526.72 5662.32 m 4526.72 5758.19 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 459.674 568.93 Tm (\133) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 462.328 568.93 Tm (26) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 470.298 568.93 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 473.327 568.93 Tm (36) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 481.297 568.93 Tm (\135) Tj ET Q 4909.53 5662.32 m 4909.53 5758.19 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 497.179 568.93 Tm (64) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 5.9776 Tf 1 0 0 1 505.149 571.742 Tm (2) Tj ET Q 5148.63 5662.32 m 5148.63 5758.19 l S 3391.11 5660.33 m 5148.63 5660.33 l S 3391.11 5568.43 m 3391.11 5658.34 l S 0 g q 10 0 0 10 0 0 cm BT /R35 6.9738 Tf 0 1 -1 0 346.79 542.005 Tm (P) Tj /R35 5.5791 Tf 4.60898 0 Td [ (R) -31.9972 (O) -61.9815 (B) ] TJ /R35 6.9738 Tf 12.9578 0 Td (\056) Tj /R154 6.9738 Tf -18.8438 -9.46406 Td [ (4) -0.19605 ] TJ /R35 6.9738 Tf 4.68789 0 Td [ (\055) -50.0198 (D) ] TJ /R35 5.5791 Tf 8.05391 0 Td (O) Tj /R35 6.9738 Tf 4.68711 0 Td (F) Tj ET Q 3593.51 5568.43 m 3593.51 5658.34 l S q 10 0 0 10 0 0 cm BT /R158 5.97757 Tf 1 0 0 1 363.629 560.168 Tm [ <0f> -0.29815 ] TJ ET Q 3814.92 5568.43 m 3814.92 5658.34 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 559.54 Tm [ (0) -1944 (2) ] TJ ET Q 4204.5 5568.43 m 4204.5 5658.34 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 425.491 559.54 Tm (\050g\051P2P) Tj ET Q 4526.72 5568.43 m 4526.72 5658.34 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 465.173 559.54 Tm (\133) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 467.827 559.54 Tm (28) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 475.797 559.54 Tm (\135) Tj ET Q 4909.53 5568.43 m 4909.53 5658.34 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 500.915 559.54 Tm (2) Tj ET Q 5148.63 5568.43 m 5148.63 5658.34 l S 3391.11 5478.51 m 3391.11 5568.42 l S 3593.51 5478.51 m 3593.51 5568.42 l S q 10 0 0 10 0 0 cm BT /R158 5.97757 Tf 1 0 0 1 363.629 551.177 Tm [ <0f> -0.29815 ] TJ ET Q 3814.92 5478.51 m 3814.92 5568.42 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 550.549 Tm [ (2) -1944 (1) ] TJ ET Q 4204.5 5478.51 m 4204.5 5568.42 l S q 10 0 0 10 0 0 cm BT /R35 7.9701 Tf 1 0 0 1 427.26 550.549 Tm (uH21) Tj ET Q 4526.72 5478.51 m 4526.72 5568.42 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 459.084 550.549 Tm (Sec\056) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 474.578 550.549 Tm (4\0562) Tj ET Q 4909.53 5478.51 m 4909.53 5568.42 l S 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 500.915 550.549 Tm (4) Tj ET Q 5148.63 5478.51 m 5148.63 5568.42 l S 3391.11 5388.6 m 3391.11 5478.51 l S 3593.51 5388.6 m 3593.51 5478.51 l S q 10 0 0 10 0 0 cm BT /R158 5.97757 Tf 1 0 0 1 363.629 542.185 Tm [ <0f> -0.29815 ] TJ ET Q 3814.92 5388.6 m 3814.92 5478.51 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 541.557 Tm [ (4) -1944 (0) ] TJ ET Q 4204.5 5388.6 m 4204.5 5478.51 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 429.033 541.557 Tm (QEP) Tj ET Q 4526.72 5388.6 m 4526.72 5478.51 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 465.173 541.557 Tm (\133) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 467.827 541.557 Tm (29) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 475.797 541.557 Tm (\135) Tj ET Q 4909.53 5388.6 m 4909.53 5478.51 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 500.915 541.557 Tm (6) Tj ET Q 5148.63 5388.6 m 5148.63 5478.51 l S 3391.11 5386.61 m 5148.63 5386.61 l S 3391.11 5294.7 m 3391.11 5384.61 l S q 10 0 0 10 0 0 cm BT /R35 6.9738 Tf 0 1 -1 0 346.79 501.984 Tm (P) Tj /R35 5.5791 Tf 4.61016 0 Td [ (R) -31.9972 (O) -61.9815 (B) -61.0275 (L) -62.0077 (E) -62.0077 (M) ] TJ /R154 6.9738 Tf -1.54297 -9.46406 Td [ (7) -0.19605 ] TJ /R35 6.9738 Tf 4.68789 0 Td [ (\055) -50.0198 (D) ] TJ /R35 5.5791 Tf 8.05391 0 Td (O) Tj /R35 6.9738 Tf 4.68711 0 Td (F) Tj ET Q 3593.51 5294.7 m 3593.51 5384.61 l S q 10 0 0 10 0 0 cm BT /R158 5.97757 Tf 1 0 0 1 374.7 532.796 Tm [ <0f> -0.29815 ] TJ ET Q 3814.92 5294.7 m 3814.92 5384.61 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 532.168 Tm [ (0) -1944 (4) ] TJ ET Q 4204.5 5294.7 m 4204.5 5384.61 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 426.339 532.168 Tm (P4P\053s) Tj ET Q 4526.72 5294.7 m 4526.72 5384.61 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 465.173 532.168 Tm (\133) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 467.827 532.168 Tm (32) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 475.797 532.168 Tm (\135) Tj ET Q 4909.53 5294.7 m 4909.53 5384.61 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 500.915 532.168 Tm (8) Tj ET Q 5148.63 5294.7 m 5148.63 5384.61 l S 3391.11 5204.79 m 3391.11 5294.7 l S 3593.51 5204.79 m 3593.51 5294.7 l S q 10 0 0 10 0 0 cm BT /R158 5.97757 Tf 1 0 0 1 374.7 523.804 Tm [ <0f> -0.29815 ] TJ ET Q 3814.92 5204.79 m 3814.92 5294.7 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 523.177 Tm [ (1) -1944 (3) ] TJ ET Q 4204.5 5204.79 m 4204.5 5294.7 l S q 10 0 0 10 0 0 cm BT /R35 7.9701 Tf 1 0 0 1 425.654 523.177 Tm (H13\053s) Tj ET Q 4526.72 5204.79 m 4526.72 5294.7 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 459.084 523.177 Tm (Sec\056) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 474.578 523.177 Tm (4\0561) Tj ET Q 4909.53 5204.79 m 4909.53 5294.7 l S 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 498.923 523.177 Tm (16) Tj ET Q 5148.63 5204.79 m 5148.63 5294.7 l S 3391.11 5114.88 m 3391.11 5204.79 l S 3593.51 5114.88 m 3593.51 5204.79 l S q 10 0 0 10 0 0 cm BT /R158 5.97757 Tf 1 0 0 1 374.7 514.813 Tm [ <0f> -0.29815 ] TJ ET Q 3814.92 5114.88 m 3814.92 5204.79 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 514.185 Tm [ (3) -1944 (2) ] TJ ET Q 4204.5 5114.88 m 4204.5 5204.79 l S q 10 0 0 10 0 0 cm BT /R35 7.9701 Tf 1 0 0 1 425.654 514.185 Tm (H32\053s) Tj ET Q 4526.72 5114.88 m 4526.72 5204.79 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 459.084 514.185 Tm (Sec\056) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 474.578 514.185 Tm (4\0561) Tj ET Q 4909.53 5114.88 m 4909.53 5204.79 l S 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 498.923 514.185 Tm (56) Tj ET Q 5148.63 5114.88 m 5148.63 5204.79 l S 3391.11 5019.01 m 3391.11 5114.88 l S 3593.51 5019.01 m 3593.51 5114.88 l S q 10 0 0 10 0 0 cm BT /R158 5.97757 Tf 1 0 0 1 374.7 505.226 Tm [ <0f> -0.29815 ] TJ ET Q 3814.92 5019.01 m 3814.92 5114.88 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 504.598 Tm [ (5) -1944 (1) ] TJ ET Q 4204.5 5019.01 m 4204.5 5114.88 l S q 10 0 0 10 0 0 cm BT /R35 7.9701 Tf 1 0 0 1 425.654 504.598 Tm (H51\053s) Tj ET Q 4526.72 5019.01 m 4526.72 5114.88 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 459.084 504.598 Tm (Sec\056) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 474.578 504.598 Tm (4\0561) Tj ET Q 4909.53 5019.01 m 4909.53 5114.88 l S 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 497.179 504.598 Tm (80) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 5.9776 Tf 1 0 0 1 505.149 507.411 Tm (3) Tj ET Q 5148.63 5019.01 m 5148.63 5114.88 l S 3391.11 4923.14 m 3391.11 5019.01 l S 3593.51 4923.14 m 3593.51 5019.01 l S 0 g q 10 0 0 10 0 0 cm BT /R158 5.97757 Tf 1 0 0 1 374.7 495.64 Tm [ <0f> -0.29815 ] TJ ET Q 3814.92 4923.14 m 3814.92 5019.01 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 495.012 Tm [ (7) -1944 (0) ] TJ ET Q 4204.5 4923.14 m 4204.5 5019.01 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 423.657 495.012 Tm [ (Se) 25.0203 (v) 14.9852 (enPt) ] TJ ET Q 4526.72 4923.14 m 4526.72 5019.01 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 465.173 495.012 Tm (\133) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 467.827 495.012 Tm (30) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 475.797 495.012 Tm (\135) Tj ET Q 4909.53 4923.14 m 4909.53 5019.01 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 495.187 495.012 Tm (140) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 5.9776 Tf 1 0 0 1 507.142 497.824 Tm (3) Tj ET Q 5148.63 4923.14 m 5148.63 5019.01 l S 3391.11 4921.15 m 5148.63 4921.15 l S 3391.11 4829.25 m 3391.11 4919.16 l S 0 g q 10 0 0 10 0 0 cm BT /R35 6.9738 Tf 0 1 -1 0 346.79 459.934 Tm (P) Tj /R35 5.5791 Tf 4.61016 0 Td [ (R) -31.9972 (O) -61.9815 (B) -61.0275 (L) -62.0077 (E) -62.0077 (M) ] TJ /R154 6.9738 Tf -1.54297 -9.46523 Td [ (5) -0.19605 ] TJ /R35 6.9738 Tf 4.68789 0 Td [ (\055) -50.0198 (D) ] TJ /R35 5.5791 Tf 8.05391 0 Td (O) Tj /R35 6.9738 Tf 4.68711 0 Td (F) Tj ET Q 3593.51 4829.25 m 3593.51 4919.16 l S q 10 0 0 10 0 0 cm BT /R158 5.97757 Tf 1 0 0 1 363.629 486.25 Tm [ <0f> -1321.1 <0f> -0.29815 ] TJ ET Q 3814.92 4829.25 m 3814.92 4919.16 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 485.622 Tm [ (0) -1944 (3) ] TJ ET Q 4204.5 4829.25 m 4204.5 4919.16 l S q 10 0 0 10 0 0 cm BT /R35 7.9701 Tf 1 0 0 1 423.661 485.622 Tm (uP3P\053s) Tj ET Q 4526.72 4829.25 m 4526.72 4919.16 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 459.084 485.622 Tm (Sec\056) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 474.578 485.622 Tm (4\0561) Tj ET Q 4909.53 4829.25 m 4909.53 4919.16 l S 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 500.915 485.622 Tm (1) Tj ET Q 5148.63 4829.25 m 5148.63 4919.16 l S 3391.11 4739.33 m 3391.11 4829.24 l S 3593.51 4739.33 m 3593.51 4829.24 l S q 10 0 0 10 0 0 cm BT /R158 5.97757 Tf 1 0 0 1 363.629 477.259 Tm [ <0f> -1321.1 <0f> -0.29815 ] TJ ET Q 3814.92 4739.33 m 3814.92 4829.24 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 476.631 Tm [ (1) -1944 (2) ] TJ ET Q 4204.5 4739.33 m 4204.5 4829.24 l S q 10 0 0 10 0 0 cm BT /R35 7.9701 Tf 1 0 0 1 423.438 476.631 Tm (uH12\053s) Tj ET Q 4526.72 4739.33 m 4526.72 4829.24 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 459.084 476.631 Tm (Sec\056) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 474.578 476.631 Tm (4\0561) Tj ET Q 4909.53 4739.33 m 4909.53 4829.24 l S 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 500.915 476.631 Tm (4) Tj ET Q 5148.63 4739.33 m 5148.63 4829.24 l S 3391.11 4649.42 m 3391.11 4739.33 l S 3593.51 4649.42 m 3593.51 4739.33 l S q 10 0 0 10 0 0 cm BT /R158 5.97757 Tf 1 0 0 1 363.629 468.267 Tm [ <0f> -1321.1 <0f> -0.29815 ] TJ ET Q 3814.92 4649.42 m 3814.92 4739.33 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 467.639 Tm [ (3) -1944 (1) ] TJ ET Q 4204.5 4649.42 m 4204.5 4739.33 l S q 10 0 0 10 0 0 cm BT /R35 7.9701 Tf 1 0 0 1 423.438 467.639 Tm (uH31\053s) Tj ET Q 4526.72 4649.42 m 4526.72 4739.33 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 459.084 467.639 Tm (Sec\056) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 474.578 467.639 Tm (4\0561) Tj ET Q 4909.53 4649.42 m 4909.53 4739.33 l S 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 500.915 467.639 Tm (6) Tj ET Q 5148.63 4649.42 m 5148.63 4739.33 l S 3391.11 4559.51 m 3391.11 4649.42 l S 3593.51 4559.51 m 3593.51 4649.42 l S q 10 0 0 10 0 0 cm BT /R158 5.97757 Tf 1 0 0 1 363.629 459.276 Tm [ <0f> -1321.1 <0f> -0.29815 ] TJ ET Q 3814.92 4559.51 m 3814.92 4649.42 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 387.358 458.648 Tm [ (5) -1944 (0) ] TJ ET Q 4204.5 4559.51 m 4204.5 4649.42 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 426.312 458.648 Tm [ (Fi) 25.0203 (v) 14.9852 (ePt) ] TJ ET Q 4526.72 4559.51 m 4526.72 4649.42 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 465.173 458.648 Tm (\133) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 467.827 458.648 Tm (30) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 475.797 458.648 Tm (\135) Tj ET Q 4909.53 4559.51 m 4909.53 4649.42 l S q 10 0 0 10 0 0 cm BT /R37 7.9701 Tf 1 0 0 1 498.923 458.648 Tm (10) Tj ET Q 5148.63 4559.51 m 5148.63 4649.42 l S 3391.11 4557.52 m 5148.63 4557.52 l S q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 308.862 448.378 Tm [ (T) 79.9807 (able) -273.011 (1\056) -273.003 (Summary) -273.98 (of) -272.995 (Minimal) -273.003 (Solv) 15.0137 (ers\056) ] TJ /R35 8.9664 Tf 144.309 0 Td (U) Tj /R37 8.9664 Tf 8.92383 0 Td (and) Tj /R35 8.9664 Tf 15.3969 0 Td (S) Tj /R37 8.9664 Tf 7.43398 0 Td [ (stand) -272.986 (for) -273.008 (upright) ] TJ -176.064 -10.959 Td (\050) Tj /R47 8.9664 Tf 2.98594 0 Td (i\056e) Tj /R37 8.9664 Tf 8.71484 0 Td [ (\056\054) -219.003 (kno) 25.0066 (wn) -210.998 (v) 14.9865 (ertical\051) -211 (and) -211.006 (unkno) 25.0066 (wn) -210.998 (scale\054) -218.982 (respect) 0.98567 (i) 25.0174 (v) 14.9865 (ely) 64.9887 (\056) -297.007 (The) -211.009 (solv) 14.9974 (ers) ] TJ -11.7008 -10.959 Td [ (presented) -249.992 (in) -250.014 (this) -250 (paper) -249.987 (are) -249.987 (in) -250.011 (boldf) 10.0146 (ace\056) ] TJ /R37 9.9626 Tf 11.9547 -18.4281 Td [ (As) -394.003 (detailed) -393.993 (in) -392.981 (T) 79.9916 (able) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 408.757 408.032 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 413.738 408.032 Tm [ (\054) -430.002 (most) -393.983 (of) -392.993 (the) -394.003 (\223pure\224) -394.018 (solv) 15.0024 (ers) -394.013 (al\055) ] TJ -104.876 -11.9551 Td [ (ready) -323.007 (e) 15.0122 (xist) -324 (in) -322.993 (the) -324.017 (l) 0.98758 (iterature) -324.019 (\050) ] TJ /R47 9.9626 Tf 116.112 0 Td [ (e) 15.0122 (\056g) ] TJ /R37 9.9626 Tf 11.7461 0 Td [ (\056\054) -342.016 (P3P\051\054) -323.01 (with) -324 (the) -322.995 (e) 15.0122 (xception) ] TJ -127.858 -11.9547 Td (of) Tj /R35 9.9626 Tf 11.2316 0 Td (uP3P\053s) Tj /R37 9.9626 Tf 32.2492 0 Td [ (\056) -442.982 (Con) 40.0154 (v) 14.9828 (ersely) 65.0161 (\054) -305.986 (most) -294 (of) -295.01 (the) ] TJ /R47 9.9626 Tf 105.275 0 Td (hybrid) Tj /R37 9.9626 Tf 29.2148 0 Td [ (solv) 15.0024 (ers) -293.99 (are) -294.98 (yet) ] TJ -177.971 -11.9551 Td [ (to) -374.004 (be) -374.016 (deri) 24.9811 (v) 14.9828 (ed\056) -682.001 (This) -373.994 (with) -373.992 (the) -374.006 (e) 15.0122 (xception) -373.992 (of) ] TJ /R35 9.9626 Tf 176.493 0 Td (H22) Tj /R37 9.9626 Tf 21.4398 0 Td (and) Tj /R35 9.9626 Tf 18.1129 0 Td (H41) Tj /R37 9.9626 Tf 17.7129 0 Td (\054) Tj -233.759 -11.9551 Td [ (which) -255.982 (ha) 19.9967 (v) 14.9828 (e) -256.001 (been) -255.994 (pre) 25.013 (viously) -255.996 (e) 15.0122 (xplored) -256.016 (in) -255.987 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 473.374 360.212 Tm (13) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 483.336 360.212 Tm [ (\135\056) -327.984 (Ho) 24.986 (we) 25.0154 (v) 14.9828 (er) 39.9835 (\054) -257.991 (the) ] TJ -174.475 -11.9559 Td [ (v) 14.9828 (ersions) -238.997 (there) -239.019 (are) -238.992 (only) -238.997 (meant) -239.004 (for) -238.98 (central) -239.014 (cameras\054) -241.019 (thus) -238.994 (here) ] TJ 11.9551 TL T* [ (we) -216.006 (of) 25.0179 (fer) -214.994 (a) -216.008 (more) -215.993 (general) -216.003 (deri) 24.9811 (v) 24.9811 (ation\056) -298.004 (In) -216.003 (total\054) -222.997 (ther) 0.98513 (e) -216.008 (are) ] TJ /R90 9.9626 Tf 210.3 0 Td (7) Tj /R37 9.9626 Tf 7.13125 0 Td (min\055) Tj -217.431 -11.9551 Td [ (imal) -288.008 (solv) 15 (ers) -287.994 (which) -288.016 (our) -287.984 (h) 4.98446 (ybrid) -288.011 (RANSA) 39.9884 (C) -288.016 (requires) -287.981 (and) -287.986 (that\054) ] TJ T* [ (to) -231.008 (the) -229.993 (best) -231.006 (of) -229.998 (our) -231.013 (kno) 24.9909 (wledge\054) -233.985 (ha) 19.9967 (v) 14.9828 (e) -230.986 (not) -231 (yet) -229.991 (been) -231.02 (in) 40.0031 (v) 14.9828 (estig) 5 (ated) ] TJ T* [ (in) -227.009 (the) -227.014 (literature\056) -302.011 (W) 79.9866 (e) -228.006 (also) -227.006 (of) 25.0154 (fer) -226.992 (a) -226.987 (no) 14.9877 (v) 14.9828 (el\054) -231.996 (more) -227.011 (general) -226.982 (deri) 24.9811 (v) 24.9811 (a\055) ] TJ T* [ (tion) -331.999 (for) ] TJ /R90 9.9626 Tf 33.7262 0 Td (2) Tj /R37 9.9626 Tf 8.28594 0 Td [ (e) 15.0122 (xisting) -332.021 (solv) 15 (ers\056) -555.005 (W) 79.9866 (e) -331.008 (note\054) -352.005 (ho) 24.986 (we) 25.0154 (v) 14.9828 (er) 39.9835 (\054) -352.015 (that) -332.008 (tw) 10.0081 (o) -332.018 (of) ] TJ -42.0121 -11.9563 Td [ (the) -334.996 (solv) 15 (ers) -335.005 (required) -334.015 (for) ] TJ /R35 8.9664 Tf 98.6262 0 Td (P) Tj /R35 7.1731 Tf 5.92617 0 Td [ (R) -32.0139 (O) -62 (B) -62.0128 (L) -60.9781 (E) -62.0128 (M) ] TJ /R156 8.9664 Tf 37.1098 0 Td [ (7) -0.70249 ] TJ /R35 8.9664 Tf 5.52891 0 Td (\055) Tj /R35 7.9701 Tf 3.40898 0 Td (D) Tj /R35 6.3761 Tf 6.15313 0 Td (O) Tj /R35 7.9701 Tf 5.35586 0 Td (F) Tj /R37 9.9626 Tf 8.4043 0 Td [ (are) -335.013 (of) -335.003 (v) 14.9828 (ery) -333.988 (high) ] TJ -170.513 -11.9547 Td [ (polynomial) -304.013 (de) 15.0171 (gree) -305.015 (and) -303.984 (ha) 19.9967 (v) 14.9828 (e) -305.013 (been) -303.988 (deemed) -304.998 (too) -304.008 (unstable) -304.983 (for) ] TJ T* [ (practical) -241.014 (use) -241.991 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 364.573 252.615 Tm (30) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 374.535 252.615 Tm [ (\135\056) -307.008 (As) -241.009 (such\054) -243.004 (we) -241.999 (do) -241.009 (not) -241.979 (in) 40.0031 (v) 14.9828 (estig) 5 (ate) -240.979 (a) -240.984 (full) -241.984 (Hy\055) ] TJ -65.6734 -11.9551 Td [ (brid) -237.985 (RANSA) 39.9909 (C) -237.007 (solution) -237.992 (for) ] TJ /R35 8.9664 Tf 109.481 0 Td (P) Tj /R35 7.1731 Tf 5.92695 0 Td [ (R) -32.0139 (O) -62 (B) -60.9781 (L) -62.0128 (E) -62.0128 (M) ] TJ /R156 8.9664 Tf 36.2391 0 Td [ (7) -0.70249 ] TJ /R35 8.9664 Tf 5.52891 0 Td (\055) Tj /R35 7.9701 Tf 3.40898 0 Td (D) Tj /R35 6.3761 Tf 6.15313 0 Td (O) Tj /R35 7.9701 Tf 5.35586 0 Td (F) Tj /R37 9.9626 Tf 5.06914 0 Td [ (\056) -305.983 (Ne) 25.0154 (v) 14.9828 (ertheless\054) ] TJ -177.163 -11.9551 Td [ (we) -263.017 (of) 25.0179 (fer) -264.005 (deri) 24.9811 (v) 24.9811 (ations) -262.988 (and) -263.99 (synthetic) -262.981 (precision) -262.99 (e) 25.0105 (v) 24.9811 (aluations) -264 (for) ] TJ 11.9559 TL T* [ (the) -249.99 (more) -249.988 (tractable) -249.993 (cases\072) ] TJ /R35 9.9626 Tf 101.299 0 Td (H13\053s) Tj /R37 9.9626 Tf 29.7578 0 Td (and) Tj /R35 9.9626 Tf 16.8762 0 Td (H32\053s) Tj /R37 9.9626 Tf 27.268 0 Td (\056) Tj /R35 9.9626 Tf -175.201 -16.168 Td [ (Rotation) -442.992 (P) 10.0032 (arameterization\056) ] TJ /R37 9.9626 Tf 131.277 0 Td (Let) Tj /R160 9.9626 Tf 17.6898 0 Td (R) Tj /R37 9.9626 Tf 9.63984 0 Td (and) Tj /R160 9.9626 Tf 18.7961 0 Td (t) Tj /R37 9.9626 Tf 9.64023 0 Td [ (be) -442.985 (the) -441.995 (rota\055) ] TJ -187.043 -11.9559 Td [ (tion) -381.01 (and) -380.99 (translation) -380.998 (that) -381.02 (transform) -381.015 (elements) -381.01 (in) -382.005 (the) -380.985 (global) ] TJ 11.9551 TL T* [ (frame) -363.981 (of) -362.996 (reference) ] TJ /R101 9.9626 Tf 79.4504 0 Td (f) Tj /R54 9.9626 Tf 4.98086 0 Td [ (G) -0.29897 ] TJ /R101 9.9626 Tf 7.83281 0 Td (g) Tj /R37 9.9626 Tf 8.6043 0 Td [ (to) -364.008 (the) -362.988 (camera) -363.988 (frame) -363.003 (of) -364.018 (reference) ] TJ /R101 9.9626 Tf -100.868 -11.9551 Td (f) Tj /R54 9.9626 Tf 4.98125 0 Td [ (C) -0.69841 ] TJ /R101 9.9626 Tf 7.83281 0 Td (g) Tj /R37 9.9626 Tf 4.98203 0 Td [ (\056) -303.986 (F) 14.9926 (or) -229.998 (the) -231.013 (unk) 10.013 (onwn) -231.003 (v) 14.9828 (ertical) -231.015 (cases) -230.981 (\050) ] TJ /R35 8.9664 Tf 134.148 0 Td (P) Tj /R35 7.1731 Tf 5.92695 0 Td [ (R) -32.0139 (O) -62 (B) -60.9781 (L) -62.0128 (E) -62.0128 (M) ] TJ /R156 8.9664 Tf 36.177 0 Td [ (6) -0.70249 ] TJ /R35 8.9664 Tf 5.5293 0 Td (\055) Tj /R35 7.9701 Tf 3.40977 0 Td (D) Tj /R35 6.3761 Tf 6.15195 0 Td (O) Tj /R35 7.9701 Tf 5.35625 0 Td (F) Tj /R37 9.9626 Tf 7.36875 0 Td (and) Tj /R35 8.9664 Tf -221.64 -11.9551 Td (P) Tj /R35 7.1731 Tf 5.92695 0 Td [ (R) -32.0105 (O) -62 (B) -60.9815 (L) -62.0162 (E) -62.0162 (M) ] TJ /R156 8.9664 Tf 36.027 0 Td [ (7) -0.69977 ] TJ /R35 8.9664 Tf 5.53008 0 Td (\055) Tj /R35 7.9701 Tf 3.40898 0 Td (D) Tj /R35 6.3761 Tf 6.15313 0 Td (O) Tj /R35 7.9701 Tf 5.35586 0 Td (F) Tj /R37 9.9626 Tf 5.06914 0 Td [ (\051\054) -220.983 (we) -214.006 (parameterize) -214.004 (the) -215.013 (rot) 0.99003 (ation) -215.003 (using) -214.013 (a) -214.008 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9.9626 Tf 5.23086 0 Td [ (\050) -0.90181 ] TJ /R111 9.9626 Tf 3.87422 0 Td [ (u) -0.89691 ] TJ /R90 9.9626 Tf 6.36484 0 Td [ (\051) -0.90181 ] TJ /R37 9.9626 Tf 3.87422 0 Td (\056) Tj -233.759 -11.9559 Td [ (Ev) 14.9877 (en) -396.993 (though) -396.02 (setting) ] TJ /R54 9.9626 Tf 86.4219 0 Td [ (w) -0.89936 ] TJ /R90 9.9626 Tf 12.8719 0 Td [ (\075) -549.8 (1) ] TJ /R37 9.9626 Tf 22.152 0 Td [ (eliminates) -396.012 (the) -396.983 (possibility) -397.002 (of) ] TJ ET Q 3088.62 1196.01 m 4033.61 1196.01 l S q 10 0 0 10 0 0 cm BT /R37 5.9776 Tf 1 0 0 1 319.721 112.735 Tm (1) Tj /R37 7.9701 Tf 3.48672 -2.81328 Td [ (F) 15.0128 (or) -250.004 (the) -250.007 (generalized) -249.982 (gP3P) -250 (we) -249.988 (ha) 19.9905 (v) 14.9852 (e) -250 (8) -250.019 (solutions\056) -309.99 (4) -250.019 (for) -249.988 (P3P) -249.988 (the) -250.007 (case\056) ] TJ /R37 5.9776 Tf -3.48672 -6.91602 Td (2) Tj /R37 7.9701 Tf 3.48672 -2.81289 Td [ (If) -201.991 (the) -202.025 (query) -201.991 (camera) -201.008 (is) 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(generality) -381.015 (we) -380.998 (assume) -381.995 (the) ] TJ T* [ (v) 14.9828 (ertical) -315.981 (direction) -316.001 (in) ] TJ /R101 9.9626 Tf 82.3367 0 Td (f) Tj /R54 9.9626 Tf 4.98125 0 Td [ (C) -0.70086 ] TJ /R101 9.9626 Tf 7.83281 0 Td (g) Tj /R37 9.9626 Tf 8.12813 0 Td [ (to) -316.013 (be) ] TJ /R90 9.9626 Tf 23.45 0 Td [ (\133) -0.80011 (0) -316.017 (0) -315.982 (1\135) -0.80011 ] TJ /R162 6.9738 Tf 26.773 3.61484 Td [ (\174) -0.79819 ] TJ /R37 9.9626 Tf 5.00898 -3.61484 Td [ (\054) -331.981 (which) -316.011 (can) -315.989 (al) 10 (w) 10 (ays) ] TJ -158.511 -11.9559 Td [ (be) -299.989 (achie) 25.0148 (v) 14.9828 (ed) -301.008 (using) -300 (a) -301.013 (pre\055processing) -300.006 (step) -300.014 (\050details) -300.989 (of) -299.987 (this) -300.984 (are) ] TJ T* [ (gi) 24.9885 (v) 14.9828 (en) -297.989 (in) -298.016 (the) -297.982 (supplemental) -299.002 (material\051\056) -453.986 (This) -298.007 (results) -298.004 (in) -298.997 (a) -297.994 (rota\055) ] TJ T* [ (tion) -238.014 (around) -237.987 (the) ] TJ /R54 9.9626 Tf 62.4527 0 Td [ (Z) -0.60039 ] TJ /R37 9.9626 Tf 9.88398 0 Td [ (axis\054) -239.983 (which) -237.984 (we) -238 (choose) -237.987 (to) -237.987 (parameterize) -238 (as) ] TJ /R160 9.9626 Tf -7.13789 -29.7551 Td (R) Tj /R90 9.9626 Tf 5.23008 0 Td [ (\050) -0.89936 ] TJ /R54 9.9626 Tf 3.87383 0 Td [ (a) -0.60039 (\073) -167.805 (b) -0.20095 ] TJ /R90 9.9626 Tf 13.9703 0 Td [ (\051) -278.908 (\075) -0.80011 ] TJ /R187 9.9626 Tf 17.1578 11.059 Td [ (h) -0.20095 ] TJ /R103 6.9738 Tf 6.36523 -4.41094 Td [ (a) -0.70017 ] TJ /R107 6.9738 Tf 7.08789 0 Td [ <00> -0.89971 ] TJ /R103 6.9738 Tf 6.22578 0 Td [ (b) -0.40085 ] TJ /R109 6.9738 Tf 6.27109 0 Td [ (0) -0.50062 ] TJ /R103 6.9738 Tf -19.1758 -7.16797 Td [ (b) -843.382 (a) -0.70017 ] TJ /R109 6.9738 Tf 19.1758 0 Td [ (0) -0.50062 ] TJ -19.4098 -5.98906 Td [ (0) -835.476 (0) -809.486 (1) -0.50062 ] TJ /R187 9.9626 Tf 25.0406 17.568 Td [ (i) -0.20095 ] TJ /R54 9.9626 Tf 9.68633 -11.059 Td [ (\073) -0.80011 ] TJ /R37 9.9626 Tf 77.9359 0 Td (\0503\051) Tj -224.634 -24.773 Td [ (where) -250.002 (we) -249.999 (must) -250.006 (enforce) -250.007 (that) ] TJ /R54 9.9626 Tf 112.597 0 Td [ (a) -0.60039 ] TJ /R109 6.9738 Tf 5.26602 3.61484 Td [ (2) -0.50062 ] TJ /R90 9.9626 Tf 6.6832 -3.61484 Td [ (\053) -0.80011 ] TJ /R54 9.9626 Tf 9.96289 0 Td [ (b) -0.20095 ] TJ /R109 6.9738 Tf 4.275 3.61484 Td [ (2) -0.50062 ] TJ /R90 9.9626 Tf 7.23672 -3.61484 Td [ (\075) -278.784 (1) ] TJ /R37 9.9626 Tf 15.4973 0 Td (\056) Tj /R35 9.9626 Tf -161.518 -16.3719 Td [ (2D\0553D) -324.012 (Constraints\056) ] TJ /R37 9.9626 Tf 91.7117 0 Td [ (Gi) 24.986 (v) 14.9828 (en) ] TJ /R54 9.9626 Tf 27.175 0 Td [ (i) -0.49992 ] TJ /R90 9.9626 Tf 7.56016 0 Td [ (\075) -414.801 (1) ] TJ /R54 9.9626 Tf 18.518 0 Td [ (\072) -167.788 (\072) -166.808 (\072) -167.788 (m) ] TJ /R37 9.9626 Tf 25.257 0 Td [ (2D\0553D) -324.012 (matches\054) ] TJ -170.222 -11.9551 Td [ (we) -249.999 (may) -249.985 (write) ] TJ /R54 9.9626 Tf 58.9168 -10.8262 Td [ <0b> -0.69964 ] TJ /R103 6.9738 Tf 6.37305 -1.49375 Td [ (i) -0.19955 ] TJ /R111 9.9626 Tf 3.31719 1.49375 Td [ (v) -0.89936 ] TJ /R103 6.9738 Tf 6.04688 -1.49375 Td [ (i) -0.19955 ] TJ /R90 9.9626 Tf 5.53086 1.49375 Td [ (\053) -0.80011 ] TJ /R54 9.9626 Tf 9.96211 0 Td [ (s) -0.80011 ] TJ /R111 9.9626 Tf 7.16094 0 Td [ (c) -0.09925 ] TJ /R103 6.9738 Tf 5.09219 -1.49375 Td [ (i) -0.19955 ] TJ /R90 9.9626 Tf 6.08398 1.49375 Td [ (\075) -0.80011 ] TJ /R160 9.9626 Tf 10.516 0 Td (R) Tj /R111 9.9626 Tf 5.23086 0 Td [ (p) -0.89936 ] TJ /R103 6.9738 Tf 6.36484 -1.49375 Td [ (i) -0.19955 ] TJ /R90 9.9626 Tf 5.53008 1.49375 Td [ (\053) -0.80011 ] TJ /R160 9.9626 Tf 9.96328 0 Td (t) Tj /R54 9.9626 Tf 6.89102 0 Td [ (\073) -0.79889 ] TJ /R37 9.9626 Tf 71.6539 0 Td (\0504\051) Tj -224.634 -20.7879 Td (where) Tj /R54 9.9626 Tf 27.5129 0 Td [ <0b> -0.70025 ] TJ /R103 6.9738 Tf 6.37305 -1.49492 Td [ (i) -0.20042 ] TJ /R37 9.9626 Tf 6.4918 1.49492 Td [ (is) -318.992 (the) -318.018 (depth) -318.987 (of) -319.004 (the) ] TJ /R54 9.9626 Tf 77.3031 0 Td [ (i) -0.49992 ] TJ /R37 9.9626 Tf 3.43203 0 Td [ (\055th) -318.997 (point) -317.996 (in) ] TJ /R101 9.9626 Tf 48.8262 0 Td (f) Tj /R54 9.9626 Tf 4.98203 0 Td [ (C) -0.69841 ] TJ /R101 9.9626 Tf 7.83281 0 Td (g) Tj /R37 9.9626 Tf 4.98086 0 Td (\054) Tj /R111 9.9626 Tf 5.83711 0 Td [ (v) -0.90181 ] TJ /R103 6.9738 Tf 6.04609 -1.49492 Td [ (i) -0.19955 ] TJ /R37 9.9626 Tf 6.4918 1.49492 Td [ (is) -318.993 (a) -317.991 (ray) ] TJ -206.11 -11.9551 Td [ (of) -321.984 (unit) -320.981 (length\054) ] TJ /R54 9.9626 Tf 60.9867 0 Td [ (s) -0.80011 ] TJ /R37 9.9626 Tf 7.87305 0 Td [ (is) -322.011 (the) -320.998 (scale) -321.985 (of) -321.004 (the) -322.017 (generalized) -321 (camera\054) ] TJ /R111 9.9626 Tf 158.981 0 Td [ (c) -0.10047 ] TJ /R103 6.9738 Tf 5.0918 -1.49492 Td [ (i) -0.19955 ] TJ /R37 9.9626 Tf -232.933 -10.4609 Td [ (is) -271 (the) -269.986 (center) -271.018 (of) -269.993 (projection) -270.984 (for) -271.015 (the) -269.987 (generalized) -271.009 (measurement) ] TJ (and) ' /R111 9.9626 Tf 16.977 0 Td [ (p) -0.89997 ] TJ /R103 6.9738 Tf 6.36484 -1.49375 Td [ (i) -0.20042 ] TJ /R37 9.9626 Tf 5.90898 1.49375 Td [ (is) -259.982 (the) -259.988 (3D) -259.988 (point) -260.006 (in) ] TJ /R101 9.9626 Tf 72.184 0 Td (f) Tj /R54 9.9626 Tf 4.98125 0 Td [ (G) -0.30019 ] TJ /R101 9.9626 Tf 7.83281 0 Td (g) Tj /R37 9.9626 Tf 4.98125 0 Td [ (\056) -340.019 (In) -259.995 (man) 14.9901 (y) -261.01 (cases) -259.996 (it) -259.981 (is) -259.984 (useful) -260.02 (to) ] TJ -119.23 -11.9551 Td [ (eliminate) -250.004 (the) -249.99 (unkno) 25 (wn) -249.99 (depths\054) -250.01 (thus) -250.013 (one) -249.993 (may) -249.985 (re) 25.0081 (write) -249.988 (\050) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 264.059 427.764 Tm (4) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 269.04 427.764 Tm [ (\051) -250 (as) ] TJ /R101 9.9626 Tf -169.119 -14.8109 Td [ (b) -0.40067 ] TJ /R111 9.9626 Tf 4.42773 0 Td [ (v) -0.89936 ] TJ /R103 6.9738 Tf 6.04727 -1.49375 Td [ (i) -0.19955 ] TJ /R101 9.9626 Tf 3.3168 1.49375 Td [ (c) -0.40067 ] TJ /R189 6.9738 Tf 4.42812 -1.49375 Td [ (x) -0.59864 ] TJ /R90 9.9626 Tf 5.57305 1.49375 Td [ (\050) -0.89936 ] TJ /R160 9.9626 Tf 3.87383 0 Td (R) Tj /R111 9.9626 Tf 5.23008 0 Td [ (p) -0.89936 ] TJ /R103 6.9738 Tf 6.36484 -1.49375 Td [ (i) -0.19955 ] TJ /R90 9.9626 Tf 5.53125 1.49375 Td [ (\053) -0.80011 ] TJ /R160 9.9626 Tf 9.96289 0 Td (t) Tj /R101 9.9626 Tf 7.44414 0 Td [ <00> -0.80011 ] TJ /R54 9.9626 Tf 9.96211 0 Td [ (s) -0.80011 ] TJ /R111 9.9626 Tf 7.16094 0 Td [ (c) -0.09925 ] TJ /R103 6.9738 Tf 5.0918 -1.49375 Td [ (i) -0.19955 ] TJ /R90 9.9626 Tf 3.31719 1.49375 Td [ (\051) -278.908 (\075) -0.80011 ] TJ /R111 9.9626 Tf 17.1578 0 Td (0) Tj /R54 9.9626 Tf 7.38906 0 Td [ (\073) -0.79889 ] TJ /R37 9.9626 Tf 62.5461 0 Td (\0505\051) Tj -224.634 -18.7957 Td (where) Tj /R101 9.9626 Tf 27.448 0 Td [ (b) -0.40006 ] TJ /R111 9.9626 Tf 4.42773 0 Td (a) Tj /R101 9.9626 Tf 5.56914 0 Td [ (c) -0.40006 ] TJ /R189 6.9738 Tf 4.42812 -1.49414 Td [ (x) -0.60039 ] TJ /R101 9.9626 Tf 7.825 1.49414 Td [ (2) -0.69964 ] TJ /R191 9.9626 Tf 10.5547 0 Td [ (R) -0.20095 ] TJ /R109 6.9738 Tf 7.19609 3.61563 Td [ (3) -0.50062 ] TJ /R107 6.9738 Tf 3.97109 0 Td [ <02> -0.89971 ] TJ /R109 6.9738 Tf 6.22578 0 Td [ (3) -0.50062 ] TJ /R37 9.9626 Tf 4.47031 -3.61563 Td [ (\054) -327.982 (such) -312.014 (that) ] TJ /R101 9.9626 Tf 45.1777 0 Td [ (b) -0.40067 ] TJ /R111 9.9626 Tf 4.42812 0 Td (a) Tj /R101 9.9626 Tf 5.56914 0 Td [ (c) -0.40067 ] TJ /R189 6.9738 Tf 4.42773 -1.49414 Td [ (x) -0.59864 ] TJ /R111 9.9626 Tf 3.91328 1.49414 Td [ (b) -0.89936 ] TJ /R90 9.9626 Tf 9.13203 0 Td [ (\075) -0.79889 ] TJ /R111 9.9626 Tf 10.516 0 Td (a) Tj /R101 9.9626 Tf 7.78281 0 Td [ <02> -0.79889 ] TJ /R111 9.9626 Tf 9.96289 0 Td [ (b) -0.90181 ] TJ /R37 9.9626 Tf 6.36523 0 Td [ (\056) -495.993 (Only) ] TJ /R90 9.9626 Tf 30.4699 0 Td (2) Tj /R37 9.9626 Tf 8.08984 0 Td (of) Tj -227.951 -11.9551 Td (the) Tj /R90 9.9626 Tf 14.293 0 Td (3) Tj /R37 9.9626 Tf 7.09883 0 Td [ (equations) -212.991 (in) -211.992 (\050) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 124.993 382.202 Tm (5) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 129.974 382.202 Tm [ (\051) -212.988 (are) -212.996 (linearl) 0.99493 (y) -213.018 (independent\054) -220.007 (thus) -213.001 (only) -211.982 (the) ] TJ -79.8621 -11.9551 Td [ <02727374> -260.991 (tw) 10.0081 (o) -259.991 (are) -260.988 (tak) 10.0057 (en) -261.014 (into) -260.011 (account\056) -342.009 (F) 14.9926 (or) -261.014 (the) -261.008 (case) -260.003 (where) -261.02 (scale) -261.015 (is) ] TJ 11.9551 TL T* [ (kno) 24.9915 (wn\054) -328.993 (we) -313.988 (simply) -313.983 (set) ] TJ /R54 9.9626 Tf 91.8258 0 Td [ (s) -0.80011 ] TJ /R90 9.9626 Tf 8.61016 0 Td [ (\075) -396.804 (1) ] TJ /R37 9.9626 Tf 16.6711 0 Td [ (\054) -329.001 (whereas) -313.989 (for) -313.989 (central) -313.004 (cameras) ] TJ -117.107 -11.9551 Td [ (we) -343.983 (may) -344.008 (al) 10.0014 (w) 10.0014 (ays) -342.994 (set) ] TJ /R111 9.9626 Tf 81.007 0 Td [ (c) -0.09925 ] TJ /R103 6.9738 Tf 5.0918 -1.49492 Td [ (i) -0.19955 ] TJ /R90 9.9626 Tf 7.81406 1.49492 Td [ (\075) -0.80011 ] TJ /R111 9.9626 Tf 12.2461 0 Td (0) Tj /R37 9.9626 Tf 5.72891 0 Td [ (\056) -590.997 (Notice) -344.008 (that) -344.006 (\050) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 222.055 346.337 Tm (5) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 227.036 346.337 Tm [ (\051) -343.984 (is) -342.989 (linear) -344.014 (in) ] TJ /R160 9.9626 Tf 54.0961 0 Td (t) Tj /R37 9.9626 Tf -231.02 -11.9559 Td (and) Tj /R54 9.9626 Tf 17.5629 0 Td [ (s) -0.80011 ] TJ /R37 9.9626 Tf 4.66992 0 Td [ (\054) -335.981 (tw) 10.0081 (o) -319 (of) -319.004 (the) -318.998 (potential) -319.009 (unkno) 25 (wns\056) -516.016 (Depending) -319.018 (on) -318.996 (ho) 24.986 (w) ] TJ -22.2328 -11.9551 Td [ (man) 14.9908 (y) -354.995 (2D\0553D) -354.007 (matches) -354.982 (are) -353.992 (a) 19.9918 (v) 24.9811 (ailable\054) -381.019 (we) -355.002 (manipulate) -353.983 (\050) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 266.779 322.426 Tm (5) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 271.76 322.426 Tm [ (\051) -355.002 (in) ] TJ -221.648 -11.9547 Td [ (tw) 10.0081 (o) -249.993 (dif) 24.9854 (ferent) -250 (w) 10 (ays\056) ] TJ /R90 9.9626 Tf 11.9547 -12.3871 Td (2) Tj /R47 9.9626 Tf 7.71406 0 Td [ (2D\0553D) -273.981 (matc) 14.9889 (hes) -275.006 (or) -273.982 (mor) 36.9877 (e\072) ] TJ /R37 9.9626 Tf 104.214 0 Td [ (In) -273.992 (this) -274.987 (case\054) ] TJ /R160 9.9626 Tf 50.5891 0 Td (t) Tj /R37 9.9626 Tf 7.96289 0 Td (and) Tj /R54 9.9626 Tf 17.1191 0 Td [ (s) -0.79889 ] TJ /R37 9.9626 Tf 7.40313 0 Td [ (may) -273.981 (be) ] TJ -206.957 -11.9551 Td [ (eliminated\056) -575.981 (F) 14.9926 (or) -337.982 (kno) 24.9909 (wn) -338.995 (scale) -339.002 (problems) -337.99 (we) -339.005 (need) -337.98 (only) ] TJ /R90 9.9626 Tf 219.596 0 Td (3) Tj /R37 9.9626 Tf 8.35508 0 Td (of) Tj -227.951 -11.9551 Td (the) Tj /R90 9.9626 Tf 14.6648 0 Td (4) Tj /R37 9.9626 Tf 7.47187 0 Td [ (equations) -250.005 (pro) 14.9852 (vided) -250.018 (by) ] TJ /R90 9.9626 Tf 90.8883 0 Td (2) Tj /R37 9.9626 Tf 7.47187 0 Td [ (2D\0553D) -249.985 (matches) -250.02 (to) -249.985 (get) ] TJ /R111 9.9626 Tf -39.275 -16.8027 Td [ (A) -0.40067 ] TJ /R160 9.9626 Tf 8.66211 0 Td (t) Tj /R90 9.9626 Tf 7.99688 0 Td [ (\075) -0.80011 ] TJ /R111 9.9626 Tf 10.5168 0 Td [ (B) -0.10047 ] TJ /R90 9.9626 Tf 8.14922 0 Td [ (\050) -0.89936 ] TJ /R111 9.9626 Tf 3.875 0 Td [ (r) -0.60039 ] TJ /R90 9.9626 Tf 4.71797 0 Td [ (\051) -0.89936 ] TJ /R54 9.9626 Tf 5.53516 0 Td [ (\073) -0.80011 ] TJ /R37 9.9626 Tf 93.959 0 Td (\0506\051) Tj -224.634 -19.7922 Td (where) Tj /R111 9.9626 Tf 27.218 0 Td [ (A) -0.40006 ] TJ /R101 9.9626 Tf 12.1488 0 Td [ (2) -0.70025 ] TJ /R191 9.9626 Tf 10.1289 0 Td [ (R) -0.20095 ] TJ /R109 6.9738 Tf 7.19531 3.61523 Td [ (3) -0.50062 ] TJ /R107 6.9738 Tf 3.97187 0 Td [ <02> -0.89971 ] TJ /R109 6.9738 Tf 6.22578 0 Td [ (3) -0.50062 ] TJ /R37 9.9626 Tf 7.34922 -3.61523 Td [ (is) -288.997 (a) -289.016 (coef) 25.0081 <026369656e74> -288.986 (matrix) -288.986 (obtained) -288.986 (from) -289 (the) ] TJ -74.2379 -11.9559 Td [ (inputs\054) -291.011 (and) ] TJ /R111 9.9626 Tf 46.9438 0 Td [ (B) -0.10047 ] TJ /R90 9.9626 Tf 8.15 0 Td [ (\050) -0.89936 ] TJ /R111 9.9626 Tf 3.87422 0 Td [ (r) -0.60039 ] TJ /R90 9.9626 Tf 4.71797 0 Td [ (\051) -0.89936 ] TJ /R101 9.9626 Tf 7.24102 0 Td [ (2) -0.69964 ] TJ /R191 9.9626 Tf 10.007 0 Td [ (R) -0.20095 ] TJ /R109 6.9738 Tf 7.1957 3.61602 Td [ (3) -0.50062 ] TJ /R37 9.9626 Tf 7.2832 -3.61602 Td [ (is) -282.018 (a) -283.017 (function) -282.004 (of) -283.009 (the) -281.985 (rotation) -282.982 (param\055) ] TJ -95.4129 -11.9551 Td (eters) Tj /R111 9.9626 Tf 21.4707 0 Td [ (r) -0.59978 ] TJ /R37 9.9626 Tf 4.71914 0 Td [ (\054) -271.011 (which) -268.018 (can) -267.018 (be) ] TJ /R90 9.9626 Tf 60.7629 0 Td [ (\050) -0.89936 ] TJ /R54 9.9626 Tf 3.87422 0 Td [ (a) -0.60039 (\073) -167.805 (b) -0.20095 ] TJ /R90 9.9626 Tf 13.9699 0 Td [ (\051) -0.89936 ] TJ /R37 9.9626 Tf 6.53594 0 Td (or) Tj /R111 9.9626 Tf 10.9609 0 Td [ (u) -0.89936 ] TJ /R37 9.9626 Tf 9.02695 0 Td [ (as) -267.013 (e) 15.0122 (xplained) -266.99 (abo) 14.9828 (v) 14.9828 (e\056) -361.981 (In) -267.012 (the) ] TJ -131.321 -11.9551 Td [ (case) -262.002 (of) -261.013 (unkno) 25 (wn) -261.988 (scale\054) -265.012 (we) -261.016 (must) -262.004 (use) -261.988 (all) -261.986 (of) -261.013 (the) ] TJ /R90 9.9626 Tf 185.494 0 Td (4) Tj /R37 9.9626 Tf 7.58906 0 Td (constraints) Tj -193.083 -11.9551 Td [ (a) 19.9924 (v) 24.9811 (ailable) -336.989 (in) -338.01 (the) -336.995 (2) -338.017 (2D\0553D) -336.99 (matches) -336.985 (to) -338.01 (isolate) -337.017 (the) -336.995 (linear) -338.015 (un\055) ] TJ 11.9547 TL T* [ (kno) 24.9915 (wns\056) -310.01 (F) 14.992 (or) -249.996 (this) -250.011 (case) -250.005 (we) -249.999 (ha) 19.9979 (v) 14.9828 (e) ] TJ /R111 9.9626 Tf 63.5309 -16.8043 Td [ (A) -0.40067 ] TJ /R103 6.9738 Tf 8.66211 -1.49375 Td [ (s) -0.2013 ] TJ /R90 9.9626 Tf 8.40977 1.49375 Td [ (\133) -0.80011 ] TJ /R160 9.9626 Tf 2.76719 0 Td (t) Tj /R162 6.9738 Tf 5.23008 3.61602 Td [ (\174) -0.79994 ] TJ /R54 9.9626 Tf 7.5 -3.61602 Td [ (s) -0.80011 ] TJ /R90 9.9626 Tf 4.66992 0 Td [ (\135) -0.80011 ] TJ /R162 6.9738 Tf 2.7668 5.00898 Td [ (\174) -0.79994 ] TJ /R90 9.9626 Tf 7.77695 -5.00898 Td [ (\075) -0.80011 ] TJ /R111 9.9626 Tf 10.516 0 Td [ (B) -0.10047 ] TJ /R103 6.9738 Tf 8.15 -1.49375 Td [ (s) -0.2013 ] TJ /R90 9.9626 Tf 4.2582 1.49375 Td [ (\050) -0.89936 ] TJ /R111 9.9626 Tf 3.875 0 Td [ (r) -0.60039 ] TJ /R90 9.9626 Tf 4.71797 0 Td [ (\051) -0.89936 ] TJ /R54 9.9626 Tf 5.53516 0 Td [ (\073) -0.80011 ] TJ /R37 9.9626 Tf 76.268 0 Td (\0507\051) Tj -224.634 -19.7918 Td [ (where) -224.006 (we) -222.984 (no) 24.986 (w) -224 (ha) 19.9979 (v) 14.9828 (e) ] TJ /R111 9.9626 Tf 80.2359 0 Td [ (A) -0.40067 ] TJ /R103 6.9738 Tf 8.66172 -1.49414 Td [ (s) -0.2013 ] TJ /R101 9.9626 Tf 7.025 1.49414 Td [ (2) -0.69964 ] TJ /R191 9.9626 Tf 9.40898 0 Td [ (R) -0.20095 ] TJ /R109 6.9738 Tf 7.19609 3.61602 Td [ (4) -0.50062 ] TJ /R107 6.9738 Tf 3.97109 0 Td [ <02> -0.89971 ] TJ /R109 6.9738 Tf 6.22695 0 Td [ (4) -0.50062 ] TJ /R37 9.9626 Tf 6.69688 -3.61602 Td (and) Tj /R111 9.9626 Tf 16.6152 0 Td [ (B) -0.10047 ] TJ /R103 6.9738 Tf 8.15 -1.49414 Td [ (s) -0.19955 ] TJ /R101 9.9626 Tf 7.025 1.49414 Td [ (2) -0.70086 ] TJ /R191 9.9626 Tf 9.40898 0 Td [ (R) -0.20095 ] TJ /R109 6.9738 Tf 7.19609 3.61602 Td [ (4) -0.50062 ] TJ /R37 9.9626 Tf 4.46875 -3.61602 Td [ (\056) -301.006 (W) 79.9866 (e) -224.007 (can) -224.004 (then) ] TJ -182.287 -11.9551 Td [ (in) 40.0056 (v) 14.9828 (ert) -218.984 (either) ] TJ /R111 9.9626 Tf 49.7422 0 Td [ (A) -0.40067 ] TJ /R37 9.9626 Tf 10.843 0 Td (or) Tj /R111 9.9626 Tf 10.4801 0 Td [ (A) -0.40067 ] TJ /R103 6.9738 Tf 8.66211 -1.49414 Td [ (s) -0.2013 ] TJ /R37 9.9626 Tf 6.43984 1.49414 Td [ (in) -219.01 (order) -218.984 (to) -219.01 (obtain) -218.998 (the) -219.015 (linear) -219.015 (unkno) 25 (wns) ] TJ -86.1668 -11.9551 Td [ (in) -249.985 (terms) -250.019 (of) -249.996 (the) -249.99 (rotation) -250.007 (only) 64.9916 (\056) ] TJ /R90 9.9626 Tf 11.9547 -12.3871 Td (1) Tj /R47 9.9626 Tf 8.58008 0 Td [ (2D\0553D) -360.986 (matc) 14.9889 (h\072) ] TJ /R37 9.9626 Tf 64.084 0 Td [ (in) -360.986 (this) -361.012 (case) -361.986 (we) -361 (instead) -361.016 (transform) -361.016 (the) ] TJ -84.6188 -11.9547 Td [ (point) -305.998 (in) ] TJ /R101 9.9626 Tf 34.3367 0 Td (f) Tj /R54 9.9626 Tf 4.98203 0 Td [ (G) -0.30019 ] TJ /R101 9.9626 Tf 7.8332 0 Td (g) Tj /R37 9.9626 Tf 8.03281 0 Td [ (and) -305.982 (the) -307 (corresponding) -305.994 (camera) -305.996 (frame\056) -479.018 (W) 79.9866 (e) -305.993 (do) ] TJ -55.1848 -11.9551 Td [ (this) -395.987 (s\056t\056) ] TJ /R111 9.9626 Tf 33.9039 0 Td [ (c) -0.09986 ] TJ /R109 6.9738 Tf 5.0918 -1.49492 Td [ (1) -0.49974 ] TJ /R90 9.9626 Tf 9.92305 1.49492 Td [ (\075) -0.80011 ] TJ /R111 9.9626 Tf 13.202 0 Td (0) Tj /R37 9.9626 Tf 5.7293 0 Td (\054) Tj /R111 9.9626 Tf 6.79375 0 Td [ (v) -0.89936 ] TJ /R109 6.9738 Tf 6.04727 -1.49492 Td [ (1) -0.50062 ] TJ /R90 9.9626 Tf 7.23594 1.49492 Td [ (\075) -278.784 (\133) -0.80011 (0) ] TJ /R54 9.9626 Tf 20.7559 0 Td [ (k) -0.59916 ] TJ /R109 6.9738 Tf 5.18594 -1.49492 Td [ (1) -0.50062 ] TJ /R54 9.9626 Tf 6.96016 1.49492 Td [ (k) -0.59916 ] TJ /R109 6.9738 Tf 5.18711 -1.49492 Td [ (2) -0.50062 ] TJ /R90 9.9626 Tf 4.46875 1.49492 Td [ (\135) -0.80011 ] TJ /R37 9.9626 Tf 6.70898 0 Td (and) Tj /R111 9.9626 Tf 18.327 0 Td [ (p) -0.90181 ] TJ /R109 6.9738 Tf 6.36523 -1.49492 Td [ (1) -0.50062 ] TJ /R90 9.9626 Tf 9.92305 1.49492 Td [ (\075) -0.79889 ] TJ /R111 9.9626 Tf 13.202 0 Td (0) Tj /R37 9.9626 Tf 9.66992 0 Td [ (\050details) -395.993 (of) ] TJ 64.0691 629.037 Td [ (this) -383.99 (transformation) -384.012 (are) -383.987 (of) 25.0154 (fered) -383.985 (in) -384.005 (the) -384.005 (supplemental) -384.005 (mate\055) ] TJ T* [ (rial\051\056) -374.991 (Doing) -272.009 (this) -270.989 (allo) 24.9909 (ws) -271.984 (us) -271.004 (to) -271.984 (then) -271.979 (re) 25.0056 (write) -271.004 (\050) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 480.736 698.082 Tm (4) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 485.718 698.082 Tm [ (\051) -271.999 (as) ] TJ /R54 9.9626 Tf 17.0313 0 Td [ <0b> -0.70086 ] TJ /R109 6.9738 Tf 6.37305 -1.49414 Td [ (1) -0.49712 ] TJ /R111 9.9626 Tf 4.46914 1.49414 Td [ (v) -0.89691 ] TJ /R109 6.9738 Tf 6.04688 -1.49414 Td [ (1) -0.49712 ] TJ /R90 9.9626 Tf 7.23711 1.49414 Td [ (\075) -0.80379 ] TJ /R160 9.9626 Tf 10.516 0 Td (t) Tj /R37 9.9626 Tf 5.23008 0 Td (\054) Tj -233.759 -11.9551 Td [ (and) -249.993 (eliminating) ] TJ /R54 9.9626 Tf 64.7559 0 Td [ <0b> -0.69841 ] TJ /R109 6.9738 Tf 6.37305 -1.49492 Td [ (1) -0.50062 ] TJ /R37 9.9626 Tf 6.95977 1.49492 Td [ (leads) -249.988 (to) ] TJ /R160 9.9626 Tf 12.1293 -31.075 Td (t) Tj /R90 9.9626 Tf 7.99688 0 Td [ (\075) -0.80379 ] TJ /R187 9.9626 Tf 10.5168 17.0359 Td [ (\042) -0.29897 ] TJ /R90 7.97008 Tf 11.9527 -6.83008 Td (0) Tj /R160 7.97008 Tf -6.14141 -10.0113 Td (t) Tj /R103 5.57904 Tf 4.18398 -1.19531 Td [ (z) -0.79644 ] TJ 4.62891 4.46328 Td [ (k) -0.29757 ] TJ /R193 3.98504 Tf 3.38867 -0.79766 Td [ (1) -0.60039 ] TJ ET Q 3.184 w 0 G 4322.18 6572.39 m 4387.17 6572.39 l S q 10 0 0 10 0 0 cm BT /R103 5.57904 Tf 1 0 0 1 432.218 652.498 Tm [ (k) -0.29757 ] TJ /R193 3.98504 Tf 3.38867 -0.79688 Td [ (2) -0.60039 ] TJ /R160 7.97008 Tf -7.99609 -6.69414 Td (t) Tj /R103 5.57904 Tf 4.18477 -1.19609 Td [ (z) -0.79644 ] TJ /R187 9.9626 Tf 7.87773 28.2773 Td [ (\043) -0.29897 ] TJ /R54 9.9626 Tf 12.4539 -17.0359 Td [ (\073) -0.80379 ] TJ /R37 9.9626 Tf 81.3691 0 Td (\0508\051) Tj -224.634 -31.193 Td (where) Tj /R160 9.9626 Tf 26.8289 0 Td (t) Tj /R103 6.9738 Tf 5.23008 -1.49414 Td [ (z) -0.79819 ] TJ /R37 9.9626 Tf 7.08203 1.49414 Td [ (is) -249.985 (the) -249.99 (last) -249.98 (element) -250.017 (of) -249.997 (the) -249.988 (unkno) 25 (wn) -249.988 (translation\056) ] TJ /R35 9.9626 Tf -39.141 -16.202 Td [ (2D\0552D) -324.992 (Constraints\056) ] TJ /R37 9.9626 Tf 91.7738 0 Td [ (A) -325.002 (3D) -324.995 (line) -324.99 (can) -325.009 (be) -325.005 (represented) -325 (using) ] TJ -91.7738 -11.9551 Td (Pl) Tj 9.13984 0.04922 Td (\250) Tj -0.83086 -0.04922 Td [ (uck) 10.0032 (er) -252.985 (coordinates) -252.992 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 393.484 595.702 Tm (21) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 403.447 595.702 Tm [ (\135) -254 (as) ] TJ /R111 9.9626 Tf 16.6664 0 Td [ (L) -0.69596 ] TJ /R90 9.9626 Tf 9.71797 0 Td [ (\075) -284.786 (\133) -0.80379 ] TJ /R111 9.9626 Tf 13.3438 0 Td [ (q) -0.89691 ] TJ /R162 6.9738 Tf 6.04609 3.61484 Td [ (\174) -0.79819 ] TJ /R111 9.9626 Tf 7.53203 -3.61484 Td [ (q) -0.89691 ] TJ /R107 6.9738 Tf 6.04688 3.61484 Td [ (0) -0.39909 ] TJ /R162 6.9738 Tf 2.79492 1.41133 Td [ (\174) -0.79819 ] TJ /R90 9.9626 Tf 5.00938 -5.02617 Td [ (\135) -0.80379 ] TJ /R162 6.9738 Tf 2.7668 3.61484 Td [ (\174) -0.79819 ] TJ /R101 9.9626 Tf 7.83711 -3.61484 Td [ (2) -0.69596 ] TJ /R191 9.9626 Tf 9.46875 0 Td [ (R) -0.19605 ] TJ /R109 6.9738 Tf 7.19531 3.61484 Td [ (6) -0.49712 ] TJ /R37 9.9626 Tf 4.46875 -3.61484 Td [ (\056) -319.981 (Here) ] TJ /R111 9.9626 Tf 27.5562 0 Td [ (q) -0.89691 ] TJ /R37 9.9626 Tf 8.56992 0 Td (is) Tj -229.605 -11.9559 Td [ (the) -223.014 (unit) -224.017 (direction) -222.997 (of) -222.98 (the) -223.994 (line\054) -227.982 (and) ] TJ /R111 9.9626 Tf 131.016 0 Td [ (q) -0.89691 ] TJ /R107 6.9738 Tf 6.04688 3.61602 Td [ (0) -0.39909 ] TJ /R90 9.9626 Tf 5.56211 -3.61602 Td [ (\075) -0.80379 ] TJ /R111 9.9626 Tf 10.516 0 Td [ (q) -0.89691 ] TJ /R101 9.9626 Tf 7.27813 0 Td [ <02> -0.80379 ] TJ /R111 9.9626 Tf 8.98008 0 Td [ (p) -0.89691 ] TJ /R37 9.9626 Tf 8.58984 0 Td (where) Tj /R111 9.9626 Tf 26.5641 0 Td [ (p) -0.89691 ] TJ /R37 9.9626 Tf 8.58984 0 Td [ (is) -223.007 (an) 15.0171 (y) ] TJ -213.143 -11.9551 Td [ (point) -236.01 (on) -235.01 (the) -235.992 (line\056) -304.991 (A) -235.997 (gi) 24.9885 (v) 14.9828 (en) -236 (pair) -235.995 (of) -235.02 (lines\054) ] TJ /R103 6.9738 Tf 155.944 3.61602 Td [ (a) -0.70017 ] TJ /R111 9.9626 Tf 4.81875 -3.61602 Td [ (L) -0.69596 ] TJ /R37 9.9626 Tf 9.23906 0 Td (and) Tj /R103 6.9738 Tf 16.7352 3.61602 Td [ (b) -0.39909 ] TJ /R111 9.9626 Tf 4.00195 -3.61602 Td [ (L) -0.69596 ] TJ /R37 9.9626 Tf 6.89023 0 Td [ (\054) -239.014 (intersect) ] TJ -197.629 -11.9551 Td [ (in) -271.001 (space) -271.016 (if) 25.0203 (f) ] TJ /R103 6.9738 Tf 47.134 3.61484 Td [ (a) -0.70017 ] TJ /R111 9.9626 Tf 3.15898 -3.61484 Td [ (q) -0.90181 ] TJ /R101 9.9626 Tf 8.26094 0 Td [ <01> -0.79889 ] TJ /R103 6.9738 Tf 2.76719 3.61484 Td [ (b) -0.39909 ] TJ /R111 9.9626 Tf 4.55586 -3.61484 Td [ (q) -0.90181 ] TJ /R107 6.9738 Tf 6.04609 3.61484 Td [ (0) -0.39909 ] TJ /R90 9.9626 Tf 5.00898 -3.61484 Td [ (\053) -0.79889 ] TJ /R103 6.9738 Tf 7.74922 3.61484 Td [ (a) -0.70017 ] TJ /R111 9.9626 Tf 5.37266 -3.61484 Td [ (q) -0.90181 ] TJ /R107 6.9738 Tf 6.04727 3.61484 Td [ (0) -0.39909 ] TJ /R101 9.9626 Tf 5.00898 -3.61484 Td [ <01> -0.80379 ] TJ /R103 6.9738 Tf 2.7668 3.61484 Td [ (b) -0.39909 ] TJ /R111 9.9626 Tf 4.55508 -3.61484 Td [ (q) -0.89691 ] TJ /R90 9.9626 Tf 8.81406 0 Td [ (\075) -278.787 (0) ] TJ /R37 9.9626 Tf 15.498 0 Td [ (\056) -372.992 (In) -271.014 (order) -271.014 (for) -271.014 (the) ] TJ /R54 9.9626 Tf 70.1199 0 Td [ (j) -0.79889 ] TJ /R37 9.9626 Tf 4.67305 0 Td [ (\055th) -271.004 (line) ] TJ -207.537 -11.9551 Td (\050with) Tj /R54 9.9626 Tf 23.475 0 Td [ (j) -0.79889 ] TJ /R90 9.9626 Tf 7.43984 0 Td [ (\075) -278.784 (1) ] TJ /R54 9.9626 Tf 17.1582 0 Td [ (\072) -167.788 (\072) -166.808 (\072) -167.788 (n) -0.1985 ] TJ /R37 9.9626 Tf 19.2629 0 Td [ (\051) -244.981 (in) -245.986 (the) -245.011 (camera) -244.989 (frame) ] TJ /R37 4.9813 Tf 87.4562 3.61523 Td (C) Tj /R111 9.9626 Tf 3.8207 -3.61523 Td [ (L) -0.69596 ] TJ /R103 6.9738 Tf 6.89102 -1.49492 Td [ (j) -0.70017 ] TJ /R37 9.9626 Tf 6.64102 1.49492 Td [ (to) -245.008 (intersect) -245.983 (with) ] TJ -172.145 -11.9551 Td [ (its) -250.017 (matched) -249.98 (line) -249.983 (in) -249.985 (the) -249.99 (global) -250.012 (frame) ] TJ /R37 4.9813 Tf 143.609 3.61523 Td (G) Tj /R111 9.9626 Tf 4.09492 -3.61523 Td [ (L) -0.69596 ] TJ /R103 6.9738 Tf 6.89102 -1.49492 Td [ (j) -0.70017 ] TJ /R37 9.9626 Tf 6.68828 1.49492 Td [ (we) -249.997 (must) -250.007 (ha) 19.9967 (v) 14.9828 (e) -250.002 (that) ] TJ /R37 4.9813 Tf -125.149 -18.3289 Td (C) Tj /R111 9.9626 Tf 3.82109 -4.11289 Td [ (q) -0.90181 ] TJ /R162 6.9738 Tf 6.04688 4.75586 Td [ (\174) -0.79819 ] TJ /R103 6.9738 Tf 7.53281 TL T* [ (j) -0.70017 ] TJ /R160 9.9626 Tf 6.66914 2.77695 Td (R) Tj /R37 4.9813 Tf 6.89102 4.11289 Td (G) Tj /R111 9.9626 Tf 4.09375 -4.11289 Td [ (q) -0.90181 ] TJ /R107 6.9738 Tf 6.04727 4.11289 Td [ (0) -0.39909 ] TJ /R103 6.9738 Tf 6.57578 TL T* [ (j) -0.70017 ] TJ /R90 9.9626 Tf 6.41172 2.46289 Td [ (\053) -0.79889 ] TJ /R37 4.9813 Tf 9.96211 4.11289 Td (C) Tj /R111 9.9626 Tf 3.82109 -4.11289 Td [ (q) -0.90181 ] TJ /R107 6.9738 Tf 6.04688 4.11289 Td [ (0) -0.39909 ] TJ /R162 6.9738 Tf 2.79492 1.41094 Td [ (\174) -0.79819 ] TJ /R103 6.9738 Tf 7.98672 TL T* [ (j) -0.70017 ] TJ /R160 9.9626 Tf 6.66914 2.46289 Td (R) Tj /R37 4.9813 Tf 6.89102 4.11289 Td (G) Tj /R111 9.9626 Tf 4.09492 -4.11289 Td [ (q) -0.89691 ] TJ /R103 6.9738 Tf 6.04609 -1.49492 Td [ (j) -0.70017 ] TJ /R90 9.9626 Tf 6.96484 1.49492 Td [ (\075) -0.80379 ] TJ /R37 4.9813 Tf 10.5172 4.11289 Td (C) Tj /R111 9.9626 Tf 3.81992 -4.11289 Td [ (q) -0.89691 ] TJ /R162 6.9738 Tf 6.04688 4.75586 Td [ (\174) -0.79819 ] TJ /R103 6.9738 Tf 7.53281 TL T* [ (j) -0.70017 ] TJ /R101 9.9626 Tf 6.66914 2.77695 Td [ (b) 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82.2594 0 Td (R) Tj /R37 9.9626 Tf 5.23086 0 Td [ (\054) -235.015 (and) ] TJ -217.034 -11.9551 Td [ (so) -320.013 (the) -320.998 (scale) -319.986 (of) -321.003 (the) -320.018 (rotation) -319.996 (is) -320.991 (irrele) 25.0154 (v) 24.9811 (ant\056) -521.001 (This) -320 (is) -320.991 (important) ] TJ 11.9551 TL T* [ (in) -265.983 (the) -265.987 (case) -266.002 (of) -265.992 (the) -265.987 (quaternion\055based) -266.005 (rotation\054) -270.984 (since) -265.985 (e) 25.0105 (v) 14.9828 (ery) -266 (el\055) ] TJ T* [ (ement) -227.006 (of) ] TJ /R160 9.9626 Tf 37.1691 0 Td (R) Tj /R90 9.9626 Tf 5.23008 0 Td [ (\050) -0.90181 ] TJ /R111 9.9626 Tf 3.87383 0 Td [ (u) -0.90181 ] TJ /R90 9.9626 Tf 6.36484 0 Td [ (\051) -0.90181 ] TJ /R37 9.9626 Tf 6.13594 0 Td [ (has) -227.014 (a) -226.987 (common) -226.987 (f) 9.99343 (actor) -226.982 (of) ] TJ /R90 9.9626 Tf 95.3082 0 Td (1) Tj /R54 9.9626 Tf 4.98086 0 Td (\075) Tj /R90 9.9626 Tf 4.98203 0 Td [ (\050) -0.90181 ] TJ /R101 9.9626 Tf 3.87422 0 Td [ (j) -0.80379 ] TJ /R54 9.9626 Tf 2.7668 0 Td [ (u) -0.49992 ] TJ /R101 9.9626 Tf 5.70391 0 Td [ (j) -0.80379 ] TJ /R109 6.9738 Tf 2.76719 3.61484 Td [ (2) -0.49712 ] TJ /R90 9.9626 Tf 5.83203 -3.61484 Td [ (\053) -137.791 (1\051) -0.90181 ] TJ /R37 9.9626 Tf 20.2281 0 Td [ (in) -227.011 (order) ] TJ -205.217 -11.9551 Td (for) Tj /R160 9.9626 Tf 13.927 0 Td (R) Tj /R37 9.9626 Tf 7.54219 0 Td [ (to) -231.988 (be) -232 (a) -232.005 (proper) -231.996 (rotation\056) -303.998 (F) 14.9926 (or) -232 (\050) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 442.988 443.221 Tm (9) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 447.97 443.221 Tm [ (\051) -232.005 (this) -232.015 (nonlinear) -232.015 (common) ] TJ -139.107 -11.9559 Td [ (term) -249.985 (can) -250 (be) -249.997 (safely) -249.99 (f) 9.99588 (actored) -249.997 (out\056) ] TJ /R35 9.9626 Tf 16.2023 TL (Gr) ' 13.0059 0.12031 Td (\250) Tj -0.83203 -0.12031 Td [ (obner) -306.983 (Basis) -307.01 (Solution\056) ] TJ /R37 9.9626 Tf 98.9402 0 Td [ (F) 14.9926 (or) -307.008 (an) 15.0171 (y) -307.003 (gi) 24.986 (v) 14.9828 (en) -307.008 (solv) 15.0024 (er) 39.9835 (\054) -321 (we) -307.008 (adopt) ] TJ -111.114 -11.9547 Td [ (a) -265.02 (Gr) ] TJ 18.407 0.05 Td (\250) Tj -0.83203 -0.05 Td [ (obner) -265.007 (basis) -264.995 (approach) -265.01 (to) -265.005 (solv) 15.0024 (e) -265.02 (the) -265.985 (resulti) 1.00473 (n) -1.01454 (g) -265.01 (polynomial) ] TJ -17.575 -11.9551 Td [ (system\056) -517.997 (F) 14.9926 (or) -319.003 (this\054) -337.015 (we) -319.008 (emplo) 9.98363 (y) -319 (a) -319.991 (Gr) ] TJ 139.15 0.05 Td (\250) Tj -0.83203 -0.05 Td [ (obner) -318.996 (basis) -320.005 (Solv) 15.0073 (er) -319.015 (Gen\055) ] TJ -138.318 -11.9551 Td [ (erator) -361.981 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 339.019 379.198 Tm (15) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 348.981 379.198 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 353.504 379.198 Tm (17) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 363.467 379.198 Tm [ (\135\056) -644.99 (The) -362.013 (solution) -362.008 (of) -362.018 (the) -360.989 (polynomial) -362.003 (system) -361.984 (is) ] TJ -54.6047 -11.9559 Td [ (then) -253.985 (gi) 24.9885 (v) 14.9828 (en) -255.016 (by) -253.987 (the) -253.989 (Gauss\055Jordan) -254.992 (reduction) -254.012 (of) -253.997 (an) ] TJ /R47 9.9626 Tf 190.861 0 Td (elimination) Tj -190.861 -11.9551 Td (template) Tj /R37 9.9626 Tf 34.3109 0 Td [ (\054) -315.984 (and) -303.003 (the) -303 (eigen\055decomposition) -302.979 (of) -303.008 (an) -303.008 (action) -302.994 (matrix) ] TJ -34.3109 -11.9551 Td [ (with) -282.99 (entries) -282.017 (resulting) -283.017 (from) -283.002 (the) -281.982 (elimination) -282.997 (template\056) -407.981 (Thus\054) ] TJ 11.9551 TL T* [ (the) -223.014 (speed) -223.014 (and) -223.997 (numerical) -223.002 (stability) -223.012 (of) -222.982 (the) -223.012 (resulting) -224.007 (sol) 1 (v) 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0.98635 (ub) -1.00964 (s) 0.98635 (titution\054) -310.992 (and) -297.985 (the) -299.002 (constraint) ] TJ 11.9559 TL T* [ (of) -380.013 (the) -380.987 (rotation) -379.986 (parameterization) -381.011 (\050) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 187.008 413.948 Tm (3) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 191.989 413.948 Tm [ (\051\056) -700.982 (The) -380.01 (solv) 15 (er) -381.003 (obtained) ] TJ -141.877 -11.9551 Td [ (has) -249.991 (a) ] TJ /R90 9.9626 Tf 22.6848 0 Td (6) Tj /R101 9.9626 Tf 5.53516 0 Td [ <02> -0.7995 ] TJ /R90 9.9626 Tf 8.30195 0 Td (10) Tj /R37 9.9626 Tf 12.4531 0 Td [ (template\054) -250.009 (with) -250.015 (an) -249.996 (action) -249.982 (matrix) -250.012 (of) -249.995 (size) ] TJ /R90 9.9626 Tf 155.505 0 Td (4) Tj /R37 9.9626 Tf 4.98086 0 Td (\056) Tj /R35 9.9626 Tf -209.461 -16.5371 Td (uH31\053s) Tj /R37 9.9626 Tf 39.9777 0 Td [ (Similarly) -360.005 (to) ] TJ /R35 9.9626 Tf 52.0133 0 Td (H51\053s) Tj /R37 9.9626 Tf 27.268 0 Td [ (\054) -386.992 (we) -359.98 (start) -360.006 (by) -360.009 (eliminating) -360.004 (the) ] TJ -119.259 -11.9559 Td [ <02727374> -320 (tw) 10.0081 (o) -321 (elements) -320 (of) ] TJ /R160 9.9626 Tf 86.8281 0 Td (t) Tj /R37 9.9626 Tf 8.4207 0 Td [ (using) -319.997 (\050) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 173.455 373.5 Tm (8) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 178.437 373.5 Tm [ (\051\056) -521.012 (Then\054) -338.01 (we) -321.008 (substitute) -320.013 (this) ] TJ -128.325 -11.9551 Td [ (e) 15.0128 (xpression) -222.99 (into) -222.997 (\050) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 115.835 361.545 Tm (9) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 120.816 361.545 Tm [ (\051) -222.006 (with) ] TJ /R54 9.9626 Tf 25.4668 0 Td [ (j) -0.80011 ] TJ /R90 9.9626 Tf 7.43984 0 Td [ (\075) -278.784 (1) ] TJ /R54 9.9626 Tf 15.4969 0 Td [ (\073) -0.80011 ] TJ /R90 9.9626 Tf 4.42812 0 Td (2) Tj /R54 9.9626 Tf 4.98203 0 Td [ (\073) -0.80011 ] TJ /R90 9.9626 Tf 4.42695 0 Td (3) Tj /R37 9.9626 Tf 4.98203 0 Td [ (\054) -227.999 (leading) -223.002 (to) -223.009 (a) -222.987 (system) -222.01 (of) ] TJ /R90 9.9626 Tf 93.3418 0 Td (3) Tj /R37 9.9626 Tf -231.269 -11.9551 Td [ (polynomials) -264.013 (in) -263.983 (terms) -262.997 (of) ] TJ /R54 9.9626 Tf 97.9641 0 Td [ (a) -0.60039 ] TJ /R37 9.9626 Tf 5.26602 0 Td (\054) Tj /R54 9.9626 Tf 5.15391 0 Td [ (b) -0.20095 ] TJ /R37 9.9626 Tf 4.275 0 Td (\054) Tj /R160 9.9626 Tf 5.15391 0 Td (t) Tj /R103 6.9738 Tf 5.23008 -1.49375 Td [ (z) -0.79994 ] TJ /R37 9.9626 Tf 7.21914 1.49375 Td (and) Tj /R54 9.9626 Tf 17.0137 0 Td [ (s) -0.80011 ] TJ /R37 9.9626 Tf 4.67031 0 Td [ (\056) -350.998 (Adding) -264.005 (the) -263.988 (rotation) ] TJ -151.946 -11.9551 Td [ (parameterization) -211.981 (constraint) -212.012 (leads) -211.994 (to) -211.992 (an) -212.983 (elimination) -211.989 (template) ] TJ 11.9547 TL T* [ (of) -249.996 (size) ] TJ /R90 9.9626 Tf 28.7719 0 Td (30) Tj /R101 9.9626 Tf 10.516 0 Td [ <02> -0.7995 ] TJ /R90 9.9626 Tf 8.30195 0 Td (36) Tj /R37 9.9626 Tf 12.4531 0 Td [ (and) -249.991 (an) -249.996 (eigen\055decomposition) -250.01 (of) -249.995 (size) ] TJ /R90 9.9626 Tf 143.6 0 Td (6) Tj /R37 9.9626 Tf 4.98203 0 Td (\056) Tj /R35 10.9589 Tf -208.625 -21.718 Td [ (4\0562\056) -250.005 (Kno) 9.99718 (wn) -250.011 (Scale) -249.985 (Solv) 9.99718 (ers) ] TJ /R35 9.9626 Tf 22.5152 TL (H22) ' /R37 9.9626 Tf 24.468 0 Td [ (W) 79.9873 (e) -339.007 (be) 15.0177 (gin) -338.985 (by) -338.992 (eliminating) ] TJ /R160 9.9626 Tf 103.878 0 Td (t) Tj /R37 9.9626 Tf 8.60781 0 Td (using) Tj /R90 9.9626 Tf 24.966 0 Td (3) Tj /R37 9.9626 Tf 8.3582 0 Td [ (equations) -339.01 (out) -338.985 (of) ] TJ -170.278 -11.9551 Td (the) Tj /R90 9.9626 Tf 14.3828 0 Td (4) Tj /R37 9.9626 Tf 7.19023 0 Td [ (gi) 24.9885 (v) 14.9828 (en) -222.002 (by) -221.012 (our) ] TJ /R90 9.9626 Tf 51.607 0 Td (2) Tj /R37 9.9626 Tf 7.18984 0 Td [ (2D\0553D) -221.99 (matches\056) -300.009 (Afterw) 10 (ards) -222 (we) -222.005 (simply) ] TJ -80.3699 -11.9547 Td [ (substitute) -249.005 (this) -248.992 (into) -248.993 (the) -249.01 (remaining) -248.988 (2D\0553D) -249.005 (constraint) -248.985 (plus) -248.995 (the) ] TJ 11.9551 TL T* [ (tw) 10.0081 (o) -315.982 (2D\0552D) -314.994 (constraints\056) -507.013 (This) -314.984 (yields) -316 (a) -315.011 (system) -315.994 (of) ] TJ /R90 9.9626 Tf 197.131 0 Td (3) Tj /R37 9.9626 Tf 8.125 0 Td (polyno\055) Tj -205.256 -11.9551 Td [ (mials) -292.002 (in) ] TJ /R111 9.9626 Tf 35.1621 0 Td [ (u) -0.89997 ] TJ /R37 9.9626 Tf 6.36484 0 Td [ (\056) -436.983 (W) 79.9879 (e) -291.995 (get) -291.983 (an) -291.989 (elimination) -292.015 (template) -292.985 (of) -291.988 (size) ] TJ /R90 9.9626 Tf 165.319 0 Td (23) Tj /R101 9.9626 Tf 10.8277 0 Td [ <02> -0.79889 ] TJ /R90 9.9626 Tf 8.61328 0 Td (39) Tj /R37 9.9626 Tf -226.287 -11.9559 Td (and) Tj /R90 9.9626 Tf 16.877 0 Td (16) Tj /R37 9.9626 Tf 12.4531 0 Td (solutions\056) Tj /R35 9.9626 Tf -29.3301 -16.5371 Td (H41) Tj /R37 9.9626 Tf 22.6871 0 Td [ (F) 14.992 (or) -249.996 (this) -248.992 (solv) 15.0012 (er) -250.005 (we) -249.018 (use) -249.99 (\050) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 165.73 205.134 Tm (8) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 170.712 205.134 Tm [ (\051) -250.001 (with) -248.995 (only) -250.015 (2D\0553D) -249.985 (const) 1 (raint) ] TJ -120.6 -11.9551 Td [ (to) -271.001 (eliminate) -270.981 (tw) 10.0081 (o) -271.989 (translation) -271.015 (parameters\056) -372.987 (W) 79.9866 (e) -271.999 (then) -271.001 (substitute) ] TJ 11.9551 TL T* [ (back) -281.991 (into) ] TJ /R90 9.9626 Tf 39.9391 0 Td (4) Tj /R37 9.9626 Tf 7.7957 0 Td (\050) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 101.164 181.224 Tm (9) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 106.146 181.224 Tm [ (\051) -281.996 (constraints\056) -408.01 (Since\054) -290.009 (as) -283.01 (mentioned\054) -289.991 (all) -283.002 (of) -281.99 (this) ] TJ -56.0336 -11.9559 Td [ (equations) -325.992 (are) -325.017 (homogeneous\054) -344.994 (we) -325.986 (multiply) -324.987 (out) -326.007 (the) -326.017 (resulting) ] TJ 11.9551 TL T* [ (polynomial) -263 (system) -264.003 (in) ] TJ /R111 9.9626 Tf 88.6848 0 Td [ (u) -0.89936 ] TJ /R37 9.9626 Tf 8.98828 0 Td (and) Tj /R160 9.9626 Tf 17.009 0 Td (t) Tj /R103 6.9738 Tf 5.23008 -1.49375 Td [ (z) -0.79994 ] TJ /R37 9.9626 Tf 7.21367 1.49375 Td [ (by) -263.005 (the) -263.988 (scale) -263.015 (of) -263.012 (the) -263.008 (rotation\056) ] TJ -127.126 -11.9551 Td [ (This) -264.993 <73696d706c69026573> -264.993 (the) -265.007 (algebraic) -265.011 (representation) -264.99 (of) -265.992 (the) -265.007 (problem\054) ] TJ T* [ (ho) 24.986 (we) 25.0142 (v) 14.9828 (er) -218.99 (we) -218.984 (are) -218.995 (still) -218.988 (left) -219.015 (with) -219 (a) -220.007 (rather) -218.986 (lar) 17.997 (ge) -218.983 (elimination) -219.008 (tem\055) ] TJ T* [ (plate) -310.016 (of) -309.005 (size) ] TJ /R90 9.9626 Tf 52.4109 0 Td (244) Tj /R101 9.9626 Tf 15.9371 0 Td [ <02> -0.80011 ] TJ /R90 9.9626 Tf 8.7418 0 Td (277) Tj /R37 9.9626 Tf 18.0289 0 Td [ (and) -309.981 (an) -309.006 (action) -310.011 (matrix) -308.983 (with) -310.005 (up) -308.997 (to) -310.014 (32) ] TJ -95.1188 -11.9563 Td [ (v) 24.9811 (alid) -249.982 (solutions\056) ] TJ /R35 9.9626 Tf 16.5367 TL (uH21) ' /R37 9.9626 Tf 29.0699 0 Td [ (As) -291.981 (in) -292.017 (the) -291.983 (pre) 25.013 (vious) -292.002 (solv) 15.0012 (er) 39.986 (\054) -301.986 (we) -291.992 (eliminate) -291.998 (the) -291.983 (last) -292.013 (tw) 10.0081 (o) ] TJ -29.0699 -11.9551 Td [ (elements) -337.017 (of) -337 (the) -336.995 (translation\056) -569.982 (W) 79.9879 (e) -337.007 (arri) 25.0118 (v) 14.9828 (e) -337.007 (at) -337 (tw) 10.0081 (o) -336.998 (2D\0552D) -336.99 (con\055) ] TJ 258.75 629.037 Td [ (straints) -363.006 (in) ] TJ /R160 9.9626 Tf 43.7648 0 Td (t) Tj /R103 6.9738 Tf 5.23125 -1.49414 Td [ (z) -0.79819 ] TJ /R37 9.9626 Tf 4.58984 1.49414 Td (\054) Tj /R54 9.9626 Tf 6.38906 0 Td [ (a) -0.60039 ] TJ /R37 9.9626 Tf 8.88203 0 Td (and) Tj /R54 9.9626 Tf 18.0027 0 Td [ (b) -0.20095 ] TJ /R37 9.9626 Tf 7.89219 0 Td [ (plus) -363.013 (one) -362.993 (constraint) -363.008 (on) -362.988 (the) -362.988 (rotation) ] TJ -94.752 -11.9551 Td [ (parameterization\056) -413.002 (W) 79.9866 (e) -283.997 (solv) 15.0024 (e) -283.997 (this) -284.007 (system) -283.997 (of) -285.011 (three) -283.992 (polynomi\055) ] TJ 11.9551 TL T* [ (als) -227.011 (using) -226.992 (a) ] TJ /R90 9.9626 Tf 43.8719 0 Td (8) Tj /R101 9.9626 Tf 4.69609 0 Td [ <02> -0.79889 ] TJ /R90 9.9626 Tf 7.46211 0 Td (12) Tj /R37 9.9626 Tf 12.227 0 Td [ (template) -226.996 (yielding) -226.982 (an) -228.001 (action) -227.006 (matrix) -226.996 (with) -226.996 (up) ] TJ -68.257 -11.9551 Td (to) Tj /R90 9.9626 Tf 10.241 0 Td (4) Tj /R37 9.9626 Tf 7.47187 0 Td (solutions\056) Tj /R35 11.9552 Tf -17.7129 -33.898 Td [ (5\056) -249.989 (Results) ] TJ /R37 9.9626 Tf 11.9551 -22.259 Td [ (First\054) -313.012 (we) -299.992 (e) 25.0105 (v) 24.9811 (aluate) -299.982 (the) -301.001 (numerical) -300.009 (stability) -299.979 (of) -299.989 (the) -300.999 (solv) 15.0024 (ers\056) ] TJ -11.9551 -11.9547 Td [ (This) -439.983 (is) -439.993 (used) -439.993 (not) -439.988 (only) -439.983 (to) -439.995 (v) 24.9811 (alidate) -439.99 (our) -440 (deri) 24.9811 (v) 24.9811 (ations\054) -488.007 (b) 20.0016 (ut) -439.995 (to) ] TJ T* [ (guide) -243.981 (our) -243.991 (prior) ] TJ /R54 9.9626 Tf 62.0758 0 Td (P) Tj /R103 6.9738 Tf 6.39609 -1.49414 Td [ (p) -0.89971 ] TJ /R90 9.9626 Tf 4.60508 1.49414 Td [ (\050) -0.90181 ] TJ /R54 9.9626 Tf 3.875 0 Td [ (s) -0.79889 ] TJ /R90 9.9626 Tf 4.66992 0 Td [ (\051) -0.90181 ] TJ /R37 9.9626 Tf 6.30508 0 Td (\050) Tj /R47 9.9626 Tf 3.3168 0 Td (c\056f) Tj /R37 9.9626 Tf 11.1383 0 Td [ (\056) -243.994 (Sec\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 435.473 594.105 Tm (3) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 440.454 594.105 Tm [ (\051\056) -307.988 (Afterw) 9.99833 (ards\054) -245.013 (we) -243.999 (perform) ] TJ -131.592 -11.9551 Td [ (tw) 10.0081 (o) -360.994 (dif) 24.986 (ferent) -361.001 (real\055data) -361.003 (e) 25.0105 (v) 24.9811 (aluati) 1 (ons) -360.984 (for) -360.999 (instances) -361.013 (of) ] TJ /R35 8.9664 Tf 210.454 0 Td (P) Tj /R35 7.1731 Tf 5.92695 0 Td [ (R) -32.0139 (O) -62 (B) ] TJ /R35 8.9664 Tf 16.659 0 Td (\055) Tj /R35 7.1731 Tf -232.816 -11.9551 Td [ (L) -62.0162 (E) -62.0162 (M) ] TJ /R156 8.9664 Tf 19.6902 0 Td [ (6) -0.69977 ] TJ /R35 8.9664 Tf 5.52891 0 Td (\055) Tj /R35 7.9701 Tf 3.40977 0 Td (D) Tj /R35 6.3761 Tf 6.15234 0 Td (O) Tj /R35 7.9701 Tf 5.35586 0 Td (F) Tj /R37 9.9626 Tf 7.55977 0 Td (and) Tj /R35 8.9664 Tf 17.1012 0 Td (P) Tj /R35 7.1731 Tf 5.92695 0 Td [ (R) -32.0105 (O) -62 (B) -60.9815 (L) -62.0162 (E) -62.0162 (M) ] TJ /R156 8.9664 Tf 36.3492 0 Td [ (5) -0.70249 ] TJ /R35 8.9664 Tf 5.52891 0 Td (\055) Tj /R35 7.9701 Tf 3.40898 0 Td (D) Tj /R35 6.3761 Tf 6.15313 0 Td (O) Tj /R35 7.9701 Tf 5.35586 0 Td (F) Tj /R37 9.9626 Tf 5.06914 0 Td (\056) Tj /R35 10.9589 Tf -132.814 -29.9129 Td [ (5\0561\056) -250.004 (Numerical) -249.993 (Stability) -250.015 (of) -249.989 (the) -250.011 (Minimal) -250.015 (Solv) 9.99829 (ers) ] TJ /R37 9.9626 Tf 11.9547 -21.2621 Td [ (F) 14.9926 (or) -529.988 (each) -529.997 (solv) 15 (er) -529.997 (we) -531.012 (generated) ] TJ /R90 9.9626 Tf 132.889 0 Td (10) Tj /R109 6.9738 Tf 9.96328 3.61484 Td [ (6) -0.49712 ] TJ /R37 9.9626 Tf 9.75078 -3.61484 Td [ (random) -530.01 (synthetic) ] TJ -164.558 -11.9551 Td [ (scenes) -243.013 (and) -243.013 (compared) -243.989 (the) -243.011 (obtained) -242.994 (best) -243.004 (pose) -243.008 (ag) 5.01877 (ainst) -244.018 (ground) ] TJ 11.9559 TL T* [ (truth\056) -508.989 (F) 14.9926 (or) -315.984 (each) -315.994 (synthetic) -317.011 (s) 0.98513 (cene) -317.016 (we) -315.986 (generated) -315.986 (3D) -316.016 (points) -317.011 (in) ] TJ 11.9551 TL (the) ' /R90 9.9626 Tf 15.9328 0 Td [ (\133) -0.79889 ] TJ /R101 9.9626 Tf 2.76719 0 Td [ <00> -0.79889 ] TJ /R90 9.9626 Tf 7.74883 0 Td (1) Tj /R54 9.9626 Tf 4.98125 0 Td [ (\073) -0.79889 ] TJ /R90 9.9626 Tf 4.42773 0 Td [ (1\135) -0.79889 ] TJ /R101 9.9626 Tf 9.24219 0 Td [ <02> -0.79889 ] TJ /R90 9.9626 Tf 9.24102 0 Td [ (\133) -0.79889 ] TJ /R101 9.9626 Tf 2.7668 0 Td [ <00> -0.79889 ] TJ /R90 9.9626 Tf 7.74922 0 Td (1) Tj /R54 9.9626 Tf 4.98086 0 Td [ (\073) -0.79889 ] TJ /R90 9.9626 Tf 4.42812 0 Td [ (1\135) -0.79889 ] TJ /R101 9.9626 Tf 10.902 0 Td [ <02> -0.79889 ] TJ /R90 9.9626 Tf 10.902 0 Td [ (\133) -0.79889 (2) ] TJ /R54 9.9626 Tf 7.74883 0 Td [ (\073) -0.80379 ] TJ /R90 9.9626 Tf 4.42812 0 Td [ (10\135) -0.80379 ] TJ /R37 9.9626 Tf 16.4879 0 Td [ (cube\056) -691.997 (Each) -376.996 (synthetic) -377 (cam\055) ] TJ -124.735 -11.9551 Td [ (era) -373.009 (w) 10 (as) -372.994 (placed) -372.992 (with) -373.014 (a) -373.001 (random) -373.016 (center) -373.001 (of) -372.997 (projection) -373.006 (in) -372.987 (the) ] TJ (range) ' /R90 9.9626 Tf 25.1629 0 Td [ (\133) -0.79889 ] TJ /R101 9.9626 Tf 2.76797 0 Td [ <00> -0.79889 ] TJ /R90 9.9626 Tf 7.74805 0 Td (1) Tj /R54 9.9626 Tf 4.98203 0 Td [ (\073) -0.79889 ] TJ /R90 9.9626 Tf 4.42812 0 Td [ (1\135) -0.79889 ] TJ /R101 9.9626 Tf 8.70586 0 Td [ <02> -0.79889 ] TJ /R90 9.9626 Tf 8.70586 0 Td [ (\133) -0.79889 ] TJ /R101 9.9626 Tf 2.76797 0 Td [ <00> -0.79889 ] TJ /R90 9.9626 Tf 7.74922 0 Td (1) Tj /R54 9.9626 Tf 4.98086 0 Td [ (\073) -0.79889 ] TJ /R90 9.9626 Tf 4.42812 0 Td [ (1\135) -0.79889 ] TJ /R101 9.9626 Tf 8.70586 0 Td [ <02> -0.79889 ] TJ /R90 9.9626 Tf 8.70703 0 Td [ (\133) -0.80379 ] TJ /R101 9.9626 Tf 2.76719 0 Td [ <00> -0.80379 ] TJ /R90 9.9626 Tf 7.74883 0 Td (1) Tj /R54 9.9626 Tf 4.98086 0 Td [ (\073) -0.80379 ] TJ /R90 9.9626 Tf 4.42812 0 Td [ (1\135) -0.80379 ] TJ /R37 9.9626 Tf 7.74883 0 Td [ (\056) -473.994 (W) 79.9866 (e) -305.013 (then) -304.993 (generated) -305.008 (a) -303.993 (ran\055) ] TJ -127.514 -11.9547 Td [ (dom) -395.01 (rotation) -395.003 (and) -396.007 (translation) -394.993 (\050and) -394.993 (if) -394.988 (applicable) -395.013 (a) -396.017 (random) ] TJ 11.9563 TL (scale) ' /R101 9.9626 Tf 22.6238 0 Td [ (2) -0.70086 ] TJ /R90 9.9626 Tf 9.81484 0 Td [ (\133) -0.79889 (1) ] TJ /R54 9.9626 Tf 7.74805 0 Td [ (\073) -0.79889 ] TJ /R90 9.9626 Tf 4.42812 0 Td [ (10\135) -0.79889 ] TJ /R37 9.9626 Tf 12.7301 0 Td [ (\051) -271.996 (and) -271.989 (transformed) -272.013 (the) -271.984 (generated) -271.994 (camera) -272.004 (cen\055) ] TJ -57.3449 -11.9547 Td [ (ters) -204 (and) -204 (3D) -203.998 (points\056) -295.012 (F) 14.9926 (or) -204.003 (each) -204.015 (trial\054) -213.009 (we) -204.005 (use) -204 (enough) -203.986 (matches) -203.986 (to) ] TJ 11.9551 TL T* [ (co) 15.0171 (v) 14.9828 (er) -254.984 (the) -255.989 (requirements) -254.989 (of) -255.016 (each) -254.987 (solv) 15.0024 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1771.26 6644.01 1772.04 6644.98 1773.03 6645.81 c 1774.02 6646.63 1775.11 6647.26 1776.3 6647.69 c 1777.48 6648.11 1778.72 6648.33 1780 6648.33 c 1782.45 6648.33 1784.63 6647.61 1786.55 6646.18 c 1787.41 6647.09 1788.41 6647.79 1789.56 6648.28 c 1790.7 6648.77 1791.89 6649.02 1793.14 6649.02 c 1794.03 6649.02 1794.76 6648.7 1795.33 6648.07 c 1795.89 6647.44 1796.17 6646.7 1796.17 6645.81 c 1796.17 6645.29 1795.98 6644.83 1795.6 6644.45 c 1795.22 6644.07 1794.76 6643.89 1794.24 6643.89 c 1793.73 6643.89 1793.28 6644.07 1792.9 6644.45 c 1792.52 6644.83 1792.32 6645.29 1792.32 6645.81 c 1792.32 6646.57 1792.58 6647.11 1793.1 6647.41 c 1790.96 6647.41 1789.13 6646.68 1787.61 6645.21 c 1788.37 6644.45 1788.98 6643.54 1789.42 6642.47 c 1789.86 6641.4 1790.08 6640.33 1790.08 6639.27 c 1790.08 6637.52 1789.61 6635.95 1788.64 6634.56 c 1787.68 6633.17 1786.41 6632.11 1784.84 6631.34 c 1783.27 6630.58 1781.65 6630.2 1780 6630.2 c 1777.75 6630.2 1775.68 6630.81 1773.82 6632.03 c 1773.24 6631.2 1772.95 6630.3 1772.95 6629.33 c 1772.95 6628.23 1773.32 6627.27 1774.04 6626.46 c 1774.75 6625.65 1775.64 6625.25 1776.71 6625.25 c 1781.74 6625.25 l 1784.18 6625.25 1786.4 6625.02 1788.37 6624.58 c 1790.34 6624.14 1791.98 6623.25 1793.31 6621.93 c 1794.64 6620.6 1795.3 6618.74 1795.3 6616.33 c 1795.3 6614.53 1794.55 6613.03 1793.04 6611.84 c 1791.53 6610.64 1789.71 6609.78 1787.59 6609.24 c 1785.46 6608.71 1783.5 6608.45 1781.7 6608.45 c 1779.87 6608.45 1777.9 6608.71 1775.78 6609.24 c 1773.66 6609.78 1771.82 6610.64 1770.3 6611.84 c 1768.77 6613.03 1768.01 6614.53 1768.01 6616.33 c h 1771.49 6616.33 m 1771.49 6614.95 1772.05 6613.79 1773.17 6612.86 c 1774.28 6611.93 1775.63 6611.24 1777.21 6610.79 c 1778.8 6610.32 1780.29 6610.1 1781.7 6610.1 c 1783.07 6610.1 1784.55 6610.32 1786.14 6610.79 c 1787.73 6611.24 1789.09 6611.93 1790.2 6612.86 c 1791.31 6613.79 1791.86 6614.95 1791.86 6616.33 c 1791.86 6618.46 1790.89 6619.85 1788.92 6620.49 c 1786.95 6621.13 1784.55 6621.45 1781.74 6621.45 c 1776.71 6621.45 l 1775.76 6621.45 1774.89 6621.22 1774.1 6620.77 c 1773.3 6620.31 1772.68 6619.67 1772.21 6618.86 c 1771.73 6618.05 1771.49 6617.21 1771.49 6616.33 c h 1780 6631.84 m 1783.48 6631.84 1785.22 6634.32 1785.22 6639.27 c 1785.22 6641.43 1784.86 6643.2 1784.11 6644.59 c 1783.36 6645.98 1781.99 6646.68 1780 6646.68 c 1777.99 6646.68 1776.62 6645.98 1775.87 6644.59 c 1775.12 6643.2 1774.74 6641.43 1774.74 6639.27 c 1774.74 6637.92 1774.89 6636.7 1775.18 6635.6 c 1775.47 6634.5 1775.99 6633.6 1776.75 6632.9 c 1777.52 6632.2 1778.6 6631.84 1780 6631.84 c h f 1802.13 6621.13 m 1802.13 6623.29 l 1807.26 6623.29 1809.82 6623.94 1809.82 6625.25 c 1809.82 6657.53 l 1807.69 6656.52 1805 6656.02 1801.77 6656.02 c 1801.77 6658.17 l 1806.8 6658.17 1810.6 6659.48 1813.17 6662.11 c 1814.04 6662.11 l 1814.16 6662.11 1814.28 6662.05 1814.42 6661.94 c 1814.56 6661.84 1814.63 6661.71 1814.63 6661.56 c 1814.63 6625.25 l 1814.63 6623.94 1817.2 6623.29 1822.32 6623.29 c 1822.32 6621.13 l h f 1841.88 6619.76 m 1836.84 6619.76 1833.42 6621.84 1831.62 6625.98 c 1829.82 6630.14 1828.91 6635.07 1828.91 6640.77 c 1828.91 6644.32 1829.23 6647.66 1829.88 6650.8 c 1830.52 6653.94 1831.8 6656.61 1833.74 6658.82 c 1835.68 6661.01 1838.39 6662.11 1841.88 6662.11 c 1844.59 6662.11 1846.8 6661.45 1848.51 6660.14 c 1850.22 6658.83 1851.53 6657.12 1852.45 6655.01 c 1853.36 6652.91 1853.97 6650.66 1854.29 6648.28 c 1854.62 6645.9 1854.78 6643.4 1854.78 6640.77 c 1854.78 6637.23 1854.46 6633.92 1853.82 6630.85 c 1853.18 6627.79 1851.9 6625.18 1849.99 6623.01 c 1848.09 6620.84 1845.38 6619.76 1841.88 6619.76 c h 1841.88 6621.36 m 1844.16 6621.36 1845.86 6622.54 1846.97 6624.89 c 1848.09 6627.24 1848.77 6629.83 1849.03 6632.67 c 1849.29 6635.51 1849.43 6638.53 1849.43 6641.73 c 1849.43 6644.82 1849.29 6647.66 1849.03 6650.27 c 1848.77 6652.88 1848.09 6655.24 1846.97 6657.35 c 1845.86 6659.46 1844.16 6660.51 1841.88 6660.51 c 1839.55 6660.51 1837.83 6659.44 1836.7 6657.32 c 1835.57 6655.2 1834.87 6652.84 1834.61 6650.25 c 1834.35 6647.66 1834.23 6644.82 1834.23 6641.73 c 1834.23 6639.45 1834.29 6637.3 1834.41 6635.28 c 1834.54 6633.26 1834.82 6631.17 1835.3 6629.02 c 1835.77 6626.87 1836.55 6625.05 1837.62 6623.57 c 1838.68 6622.09 1840.11 6621.36 1841.88 6621.36 c h f 1892.01 6620.45 m 1889.54 6620.45 1887.25 6621.07 1885.14 6622.32 c 1883.04 6623.57 1881.37 6625.25 1880.15 6627.36 c 1878.93 6629.46 1878.32 6631.75 1878.32 6634.23 c 1878.32 6636.12 1878.65 6637.94 1879.32 6639.68 c 1880 6641.41 1880.96 6642.97 1882.21 6644.34 c 1883.46 6645.72 1884.93 6646.79 1886.59 6647.55 c 1888.25 6648.31 1890.05 6648.7 1892.01 6648.7 c 1894.54 6648.7 1896.84 6648.02 1898.92 6646.7 c 1901 6645.37 1902.63 6643.6 1903.82 6641.37 c 1905.01 6639.14 1905.61 6636.76 1905.61 6634.23 c 1905.61 6631.75 1905 6629.46 1903.77 6627.36 c 1902.55 6625.25 1900.9 6623.57 1898.81 6622.32 c 1896.72 6621.07 1894.45 6620.45 1892.01 6620.45 c h 1892.01 6622.23 m 1895.3 6622.23 1897.5 6623.42 1898.6 6625.8 c 1899.7 6628.18 1900.25 6631.22 1900.25 6634.91 c 1900.25 6636.99 1900.14 6638.7 1899.91 6640.04 c 1899.68 6641.39 1899.2 6642.62 1898.46 6643.75 c 1898 6644.42 1897.43 6645 1896.71 6645.5 c 1895.99 6646.01 1895.24 6646.41 1894.46 6646.68 c 1893.69 6646.95 1892.86 6647.09 1892.01 6647.09 c 1890.73 6647.09 1889.52 6646.8 1888.38 6646.22 c 1887.23 6645.64 1886.27 6644.82 1885.51 6643.75 c 1884.74 6642.56 1884.25 6641.26 1884.04 6639.88 c 1883.83 6638.48 1883.72 6636.84 1883.72 6634.91 c 1883.72 6632.62 1883.92 6630.56 1884.32 6628.73 c 1884.71 6626.9 1885.52 6625.36 1886.74 6624.11 c 1887.96 6622.86 1889.72 6622.23 1892.01 6622.23 c h f 1908.67 6621.13 m 1908.67 6623.29 l 1910.08 6623.29 1911.24 6623.39 1912.14 6623.62 c 1913.04 6623.85 1913.48 6624.4 1913.48 6625.25 c 1913.48 6645.49 l 1908.77 6645.49 l 1908.77 6647.64 l 1913.48 6647.64 l 1913.48 6655.01 l 1913.48 6656.36 1913.75 6657.59 1914.3 6658.74 c 1914.85 6659.88 1915.6 6660.89 1916.53 6661.75 c 1917.46 6662.6 1918.53 6663.27 1919.73 6663.77 c 1920.94 6664.28 1922.19 6664.54 1923.5 6664.54 c 1924.88 6664.54 1926.13 6664.13 1927.24 6663.3 c 1928.36 6662.48 1928.91 6661.38 1928.91 6660 c 1928.91 6659.24 1928.65 6658.59 1928.12 6658.05 c 1927.58 6657.52 1926.92 6657.25 1926.16 6657.25 c 1925.37 6657.25 1924.7 6657.52 1924.14 6658.05 c 1923.6 6658.59 1923.32 6659.24 1923.32 6660 c 1923.32 6661.29 1923.87 6662.16 1924.97 6662.61 c 1924.3 6662.83 1923.7 6662.93 1923.18 6662.93 c 1922 6662.93 1920.97 6662.51 1920.12 6661.65 c 1919.26 6660.8 1918.64 6659.76 1918.23 6658.54 c 1917.81 6657.32 1917.6 6656.11 1917.6 6654.92 c 1917.6 6647.64 l 1924.65 6647.64 l 1924.65 6645.49 l 1917.78 6645.49 l 1917.78 6625.25 l 1917.78 6624.4 1918.39 6623.85 1919.6 6623.62 c 1920.8 6623.39 1922.18 6623.29 1923.73 6623.29 c 1923.73 6621.13 l h f 1955.54 6621.13 m 1955.54 6623.29 l 1957.62 6623.29 1959.63 6623.39 1961.57 6623.62 c 1963.51 6623.85 1964.47 6624.4 1964.47 6625.25 c 1964.47 6659.04 l 1964.47 6659.93 1964.22 6660.48 1963.73 6660.69 c 1963.25 6660.91 1962.45 6661.01 1961.36 6661.01 c 1958.75 6661.01 l 1955.36 6661.01 1952.96 6660.27 1951.56 6658.77 c 1950.82 6658.03 1950.3 6656.84 1949.98 6655.21 c 1949.66 6653.58 1949.37 6651.53 1949.13 6649.06 c 1947.39 6649.06 l 1948.54 6663.16 l 1986.13 6663.16 l 1987.31 6649.06 l 1985.48 6649.06 l 1985.24 6651.71 1984.98 6653.82 1984.69 6655.38 c 1984.4 6656.93 1983.88 6658.06 1983.15 6658.77 c 1981.68 6660.27 1979.27 6661.01 1975.91 6661.01 c 1973.35 6661.01 l 1972.59 6661.01 1972 6660.98 1971.59 6660.92 c 1971.18 6660.86 1970.85 6660.68 1970.59 6660.39 c 1970.33 6660.1 1970.19 6659.65 1970.19 6659.04 c 1970.19 6625.25 l 1970.19 6624.4 1971.17 6623.85 1973.12 6623.62 c 1975.07 6623.39 1977.07 6623.29 1979.12 6623.29 c 1979.12 6621.13 l h f 1985.19 6621.13 m 1985.19 6623.29 l 1986.6 6623.29 1987.74 6623.39 1988.64 6623.62 c 1989.54 6623.85 1990 6624.4 1990 6625.25 c 1990 6642.05 l 1990 6643.16 1989.83 6643.95 1989.5 6644.44 c 1989.16 6644.93 1988.67 6645.21 1988.05 6645.32 c 1987.42 6645.43 1986.48 6645.49 1985.19 6645.49 c 1985.19 6647.64 l 1993.98 6648.33 l 1993.98 6642.33 l 1994.65 6644.1 1995.6 6645.54 1996.82 6646.65 c 1998.04 6647.76 1999.52 6648.33 2001.27 6648.33 c 2002.48 6648.33 2003.57 6647.96 2004.53 6647.25 c 2005.49 6646.53 2005.98 6645.58 2005.98 6644.39 c 2005.98 6643.66 2005.7 6643.02 2005.17 6642.47 c 2004.64 6641.92 2004 6641.64 2003.23 6641.64 c 2002.47 6641.64 2001.81 6641.9 2001.27 6642.44 c 2000.71 6642.97 2000.44 6643.63 2000.44 6644.39 c 2000.44 6645.49 2000.84 6646.27 2001.63 6646.73 c 2001.27 6646.73 l 1999.59 6646.73 1998.22 6646.12 1997.19 6644.91 c 1996.15 6643.7 1995.4 6642.22 1994.96 6640.45 c 1994.52 6638.68 1994.3 6636.98 1994.3 6635.33 c 1994.3 6625.25 l 1994.3 6623.94 1996.29 6623.29 2000.26 6623.29 c 2000.26 6621.13 l h f 2009.63 6627.18 m 2009.63 6629.62 2010.59 6631.6 2012.51 6633.13 c 2014.43 6634.65 2016.74 6635.74 2019.42 6636.38 c 2022.11 6637.02 2024.68 6637.34 2027.12 6637.34 c 2027.12 6639.86 l 2027.12 6641.05 2026.86 6642.2 2026.34 6643.29 c 2025.82 6644.39 2025.06 6645.29 2024.07 6646.01 c 2023.07 6646.73 2022 6647.09 2020.84 6647.09 c 2018.09 6647.09 2016.02 6646.48 2014.62 6645.26 c 2015.38 6645.26 2016.02 6644.96 2016.54 6644.36 c 2017.06 6643.77 2017.32 6643.09 2017.32 6642.33 c 2017.32 6641.51 2017.03 6640.8 2016.45 6640.23 c 2015.87 6639.64 2015.18 6639.36 2014.39 6639.36 c 2013.56 6639.36 2012.86 6639.64 2012.28 6640.23 c 2011.7 6640.8 2011.41 6641.51 2011.41 6642.33 c 2011.41 6644.5 2012.39 6646.1 2014.34 6647.14 c 2016.29 6648.18 2018.46 6648.7 2020.84 6648.7 c 2022.49 6648.7 2024.16 6648.34 2025.84 6647.64 c 2027.51 6646.94 2028.89 6645.92 2029.97 6644.59 c 2031.05 6643.26 2031.6 6641.72 2031.6 6639.95 c 2031.6 6626.12 l 2031.6 6625.33 2031.77 6624.6 2032.11 6623.93 c 2032.44 6623.25 2032.96 6622.92 2033.66 6622.92 c 2034.36 6622.92 2034.87 6623.25 2035.19 6623.93 c 2035.51 6624.6 2035.68 6625.33 2035.68 6626.12 c 2035.68 6630.06 l 2037.51 6630.06 l 2037.51 6626.12 l 2037.51 6625.21 2037.27 6624.32 2036.78 6623.48 c 2036.29 6622.64 2035.63 6621.99 2034.82 6621.5 c 2034.01 6621.01 2033.14 6620.77 2032.2 6620.77 c 2031.01 6620.77 2029.97 6621.22 2029.1 6622.16 c 2028.23 6623.09 2027.76 6624.2 2027.66 6625.48 c 2026.9 6623.96 2025.77 6622.73 2024.29 6621.82 c 2022.81 6620.9 2021.22 6620.45 2019.52 6620.45 c 2017.96 6620.45 2016.42 6620.68 2014.91 6621.13 c 2013.39 6621.59 2012.14 6622.31 2011.14 6623.3 c 2010.13 6624.29 2009.63 6625.59 2009.63 6627.18 c h 2014.62 6627.18 m 2014.62 6625.74 2015.13 6624.52 2016.19 6623.53 c 2017.24 6622.54 2018.51 6622.05 2019.97 6622.05 c 2021.29 6622.05 2022.48 6622.38 2023.56 6623.05 c 2024.64 6623.73 2025.52 6624.63 2026.16 6625.76 c 2026.8 6626.89 2027.12 6628.09 2027.12 6629.37 c 2027.12 6635.79 l 2025.25 6635.79 2023.35 6635.48 2021.39 6634.87 c 2019.44 6634.25 2017.82 6633.29 2016.54 6631.98 c 2015.26 6630.67 2014.62 6629.07 2014.62 6627.18 c h f 2039.06 6621.13 m 2039.06 6623.29 l 2040.47 6623.29 2041.63 6623.39 2042.53 6623.62 c 2043.43 6623.85 2043.87 6624.4 2043.87 6625.25 c 2043.87 6642.05 l 2043.87 6643.16 2043.7 6643.95 2043.37 6644.44 c 2043.03 6644.93 2042.56 6645.21 2041.95 6645.32 c 2041.34 6645.43 2040.38 6645.49 2039.06 6645.49 c 2039.06 6647.64 l 2048 6648.33 l 2048 6642.33 l 2048.82 6644.07 2050.04 6645.5 2051.66 6646.63 c 2053.27 6647.76 2055.03 6648.33 2056.92 6648.33 c 2059.76 6648.33 2061.89 6647.64 2063.33 6646.29 c 2064.77 6644.93 2065.48 6642.85 2065.48 6640.04 c 2065.48 6625.25 l 2065.48 6624.4 2065.94 6623.85 2066.84 6623.62 c 2067.74 6623.39 2068.89 6623.29 2070.29 6623.29 c 2070.29 6621.13 l 2056.19 6621.13 l 2056.19 6623.29 l 2057.59 6623.29 2058.75 6623.39 2059.65 6623.62 c 2060.55 6623.85 2061 6624.4 2061 6625.25 c 2061 6639.86 l 2061 6641.84 2060.71 6643.48 2060.13 6644.77 c 2059.55 6646.07 2058.36 6646.73 2056.55 6646.73 c 2054.18 6646.73 2052.22 6645.77 2050.68 6643.86 c 2049.14 6641.95 2048.36 6639.8 2048.36 6637.39 c 2048.36 6625.25 l 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7186.82 c 1640.2 7186.82 1641.69 7186.49 1643.05 7185.82 c 1644.41 7185.14 1645.58 7184.21 1646.56 7183.02 c 1647.54 7181.84 1648.29 7180.48 1648.8 7178.95 c 1649.32 7177.43 1649.58 7175.88 1649.58 7174.32 c 1649.58 7172.16 1649.09 7170.1 1648.12 7168.13 c 1647.14 7166.16 1645.76 7164.59 1644.01 7163.43 c 1642.25 7162.27 1640.27 7161.69 1638.04 7161.69 c h 1638.04 7163.47 m 1639.48 7163.47 1640.62 7163.81 1641.49 7164.46 c 1642.36 7165.11 1643 7165.98 1643.41 7167.04 c 1643.82 7168.11 1644.09 7169.2 1644.18 7170.3 c 1644.27 7171.39 1644.31 7172.74 1644.31 7174.32 c 1644.31 7176.43 1644.21 7178.23 1644.01 7179.73 c 1643.81 7181.22 1643.28 7182.54 1642.39 7183.66 c 1641.51 7184.79 1640.15 7185.36 1638.32 7185.36 c 1636.82 7185.36 1635.59 7184.86 1634.61 7183.83 c 1633.63 7182.8 1632.91 7181.52 1632.47 7179.99 c 1632.03 7178.45 1631.82 7176.95 1631.82 7175.52 c 1631.82 7175.02 1631.83 7174.66 1631.86 7174.41 c 1631.86 7174.36 1631.86 7174.31 1631.86 7174.26 c 1631.86 7174.21 1631.85 7174.17 1631.82 7174.14 c 1631.82 7172.52 1631.97 7170.91 1632.29 7169.29 c 1632.61 7167.67 1633.23 7166.3 1634.17 7165.17 c 1635.1 7164.04 1636.39 7163.47 1638.04 7163.47 c h f 7.8139 w 0 J 0 0.44702 0.74023 RG 1670.14 6760.16 m 1670.2 6760.16 l 1674.63 6760.25 l 1679.05 6760.38 l 1683.48 6760.55 l 1687.92 6760.77 l 1692.34 6761.08 l 1696.77 6761.51 l 1701.2 6762.07 l 1705.62 6762.8 l 1710.05 6763.78 l 1714.48 6765.03 l 1718.91 6766.65 l 1723.34 6768.71 l 1727.77 6771.3 l 1732.19 6774.55 l 1736.61 6778.57 l 1741.06 6783.48 l 1745.48 6789.43 l 1749.91 6796.54 l 1754.34 6804.97 l 1758.76 6814.81 l 1763.18 6826.2 l 1767.63 6839.17 l 1772.05 6853.78 l 1776.48 6870.02 l 1780.9 6887.79 l 1785.33 6906.99 l 1789.76 6927.41 l 1794.18 6948.76 l 1798.62 6970.72 l 1803.05 6992.88 l 1807.47 7014.77 l 1811.9 7035.89 l 1816.33 7055.71 l 1820.75 7073.74 l 1825.19 7089.46 l 1829.62 7102.4 l 1834.04 7112.2 l 1838.47 7118.52 l 1842.9 7121.17 l 1847.32 7120.05 l 1851.76 7115.2 l 1856.19 7106.75 l 1860.62 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5378.21 6960.05 5379.19 6959.81 c 5382.39 6959.21 l 5383.46 6958.97 5384.46 6958.56 5385.37 6957.98 c 5386.29 6957.4 5387.02 6956.67 5387.57 6955.78 c 5388.12 6954.9 5388.39 6953.89 5388.39 6952.76 c 5388.39 6951.63 5388.2 6950.66 5387.8 6949.83 c 5387.4 6949.01 5386.87 6948.32 5386.18 6947.77 c 5385.49 6947.22 5384.67 6946.81 5383.72 6946.54 c 5382.78 6946.26 5381.79 6946.13 5380.75 6946.13 c 5378.8 6946.13 5377.11 6946.79 5375.71 6948.14 c 5374.02 6946.26 l 5374.02 6946.17 5373.92 6946.13 5373.74 6946.13 c 5373.46 6946.13 l 5373.19 6946.13 5373.05 6946.26 5373.05 6946.54 c h f 0.49414 0.18433 0.55664 RG 5127.76 6957.92 m 5244.27 6957.92 l S 1.95355 w 0 j 1 1 1 RG 5116.11 6924.05 310.598 240.273 re S Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 50.1121 649.886 Tm [ (Figure) -251.989 (2\056) -252.005 (Numerical) -251.992 (precision) -252.012 (of) -251.997 (the) ] TJ /R47 8.9664 Tf 132.842 0 Td (nine) Tj /R37 8.9664 Tf 17.7 0 Td [ (proposed) -252.012 (solv) 15 (ers\056) -315.988 (Notice) -253.014 (the) -251.993 (scale) -251.982 (changes) -251.991 (in) -252.018 (the) ] TJ /R238 8.9664 Tf 178.638 0 Td [ (X) -1 ] TJ /R37 8.9664 Tf 8.31367 0 Td [ (\055axis\056) -316.021 (F) 15.0028 (or) -251.999 (more) -252.004 (comple) 15.0083 (x) -252.984 (solv) 14.9974 (ers) -252.01 (\050) ] TJ /R47 8.9664 Tf 121.294 0 Td (i\056e) Tj /R37 8.9664 Tf 8.71484 0 Td [ (\056\054) -252.984 (lar) 18.0143 (ger) ] TJ -467.503 -10.959 Td [ (elimination) -345.981 (templa) 0.99111 (tes) -346.002 (and) -346.016 (more) -345.019 (solutions\054) ] TJ /R47 8.9664 Tf 156.928 0 Td (c\056f) Tj /R37 8.9664 Tf 10.0242 0 Td [ (\056) -346.018 (Sec\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 240.691 638.927 Tm (4) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 245.174 638.927 Tm [ (\051\054) -369.993 (we) -344.978 (observ) 15 (e) -346.016 (errors) -346.01 (with) -344.986 (a) -346.016 (higher) -345.019 (spread\056) -597.004 (Ne) 25.0229 (v) 14.9865 (ertheless\054) 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-62.0145 (M) ] TJ /R156 8.9664 Tf 36.6129 0 Td [ (6) -0.69977 ] TJ /R35 8.9664 Tf 5.5293 0 Td (\055) Tj /R35 7.9701 Tf 3.40977 0 Td (D) Tj /R35 6.3761 Tf 6.15195 0 Td (O) Tj /R35 7.9701 Tf 5.35625 0 Td (F) Tj /R37 9.9626 Tf 7.85273 0 Td (and) Tj /R35 8.9664 Tf 17.3941 0 Td (P) Tj /R35 7.1731 Tf 5.92695 0 Td [ (R) -32.0105 (O) -61.9975 (B) -60.9798 (L) -62.0145 (E) -62.0145 (M) ] TJ /R156 8.9664 Tf 36.6129 0 Td [ (5) -0.69977 ] TJ /R35 8.9664 Tf 5.5293 0 Td (\055) Tj /R35 7.9701 Tf 3.40898 0 Td (D) Tj /R35 6.3761 Tf 6.15273 0 Td (O) Tj /R35 7.9701 Tf 5.35625 0 Td (F) Tj /R37 9.9626 Tf 7.85195 0 Td [ (for) -279.015 (the) -279.985 (real\055data) ] TJ -172.043 -11.9551 Td [ (e) 15.0128 (xperiments\056) -442.006 (W) 79.9879 (e) -293.995 (conduct) -294.011 (these) -293.98 (e) 15.0122 (xperiments) -293.993 (by) -294.02 (comparing) ] TJ 11.9551 TL T* [ (our) -346.014 (h) 4.98446 (ybrid) -346.002 (approach) -346.017 (ag) 5.02 (ainst) -346 (the) ] TJ /R47 9.9626 Tf 133.338 0 Td [ (pur) 36.9902 (e) ] TJ /R37 9.9626 Tf 21.3391 0 Td [ (approaches) -346.016 (for) -345.984 (each) ] TJ -154.677 -11.9551 Td [ (problem\056) -307.017 (These) -241.012 (e) 15.0122 (xperiments) -240.983 (are) -240.011 (meant) -241.004 (to) -241.006 (illustrate) -240.984 (tw) 10.0081 (o) -241.014 (dif\055) ] TJ T* [ (ferent) -248 (possible) -248 (usages) -247.984 (of) -249.016 (our) -247.99 (h) 4.98446 (ybrid) -248.019 (method\056) -309.015 (In) -247.995 (the) -249.01 <02727374> -248.013 (e) 15.0122 (x\055) ] TJ T* [ (periment) -205 (\050) ] TJ /R47 9.9626 Tf 40.7738 0 Td (c\056f) Tj /R37 9.9626 Tf 11.1383 0 Td [ (\056) -204.983 (Sec\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 125.476 510.281 Tm (5\0562\0561) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 145.402 510.281 Tm [ (\051\054) -212.985 (we) -204.987 (address) -205.015 (the) -205.017 (issue) -203.986 (of) -204.983 (inaccurate) ] TJ -95.2895 -11.9559 Td [ (pose) -332.992 (estimates) -333.009 (arising) -332 (from) -332.992 (inaccurately) -332.991 (reconstructed) -332.986 (3D) ] TJ 11.9551 TL T* [ (points\056) -297.991 (T) 79.9903 (o) -215.018 (do) -215.013 (so\054) -221.989 (we) -214.985 (ignore) -215.008 (the) -215.016 (badly) -215.005 (triangulated) -214.991 (3D) -215.016 (points) ] TJ T* [ (and) -360.993 (instead) -359.996 (focus) -360.99 (on) -360.009 (the) -360.991 (2D) -360.991 (measurem) 1 (ents) -360.984 (that) -360.984 (produced) ] TJ T* [ (them\056) -451 (In) -297.007 (the) -297.001 (second) -296.017 (e) 15.0122 (xperiment) -297.019 (\050) ] TJ /R47 9.9626 Tf 134.867 0 Td (c\056f) Tj /R37 9.9626 Tf 11.1383 0 Td [ (\056) -297.007 (Sec\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 221.402 462.46 Tm (5\0562\0562) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 241.328 462.46 Tm [ (\051\054) -307.988 (we) -297.012 (focus) ] TJ -191.216 -11.9551 Td [ (on) -300.999 (increasing) -300.989 (the) -301.001 (number) -300.989 (of) -301.988 (corres) 1.01576 (pondences) -302.011 (by) -300.999 (matching) ] TJ 11.9559 TL T* [ (ag) 5.01938 (ainst) -324.984 (all) -324.995 (e) 15.0128 (xisting) -325 (3D) -324.997 (points) ] TJ /R47 9.9626 Tf 122.265 0 Td (plus) Tj /R37 9.9626 Tf 19.8461 0 Td [ (all) -324.995 (the) -324.997 (2D) -324.997 (observ) 24.9909 (ations) ] TJ -142.111 -11.9551 Td [ (from) -392.983 (the) -392.005 (SfM) -391.991 (model) -393.008 (which) -393.017 (were) ] TJ /R47 9.9626 Tf 141.33 0 Td (not) Tj /R37 9.9626 Tf 16.823 0 Td [ (used) -392.981 (t) 0.98758 (o) -392.988 (reconstruct) ] TJ -158.153 -11.9551 Td [ (an) 15.0177 (y) -315.001 (3D) -314.018 (point\056) -504.982 (This) -314.004 (allo) 24.9909 (ws) -314.998 (us) -314.995 (to) -314.994 (utilize) -314.002 (information) -315.001 (that) -314.992 (is) ] TJ 11.9551 TL T* [ (usually) -311.995 (ignored) -312.007 (\0502D) -311.982 (meas) 0.99003 (urements) -312.003 (in) -312.014 (the) -312.019 (SfM\051) -312.007 (when) -312.019 (esti\055) ] TJ T* [ (mating) -250.004 (the) -249.99 (pose) -249.985 (of) -249.996 (a) -250.002 (gi) 24.9885 (v) 14.9828 (en) -249.996 (camera\056) ] TJ 11.9551 -12.1352 Td [ (Bear) -255.015 (in) -255.004 (mind) -254.987 (that) -255.002 (these) -255.006 (results) -254.992 (are) -254.989 (meant) -255.002 (to) -255.004 (demonstrate) ] TJ -11.9551 -11.9551 Td [ (that) -225.986 (using) -226.013 (h) 4.98446 (ybrid) -227.003 (matches) -225.984 (can) -226.005 (impro) 15.0036 (v) 14.9828 (e) -226.006 (performance) -226.001 (in) -227.009 (real\055) ] TJ T* [ (w) 10.0014 (orld) -259.001 (scenarios\056) -336.987 (As) -259.987 (such\054) -261 (we) -259.017 (do) -259.006 (not) -258.998 (focus) -259.008 (on) -259.986 (the) -259.008 (matching) ] TJ 11.9559 TL T* [ (procedure) -291.01 (and) -291.984 (thus) -290.987 (we) -291.011 (cannot) -292.016 (directly) -290.991 (compare) -291.005 (our) -291.983 (results) ] TJ 11.9551 TL T* [ (to) -338.01 (man) 14.9908 (y) -338.997 (state\055of\055the\055art) -338.011 (approaches\054) ] TJ /R47 9.9626 Tf 149.941 0 Td [ (e) 15.0122 (\056g) ] TJ /R37 9.9626 Tf 11.7461 0 Td [ (\056\054) -338.017 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 223.466 330.773 Tm (18) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 233.428 330.773 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 237.802 330.773 Tm (22) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 247.764 330.773 Tm [ (\135\056) -575.002 (Ne) 25.013 (v) 14.9828 (er) 19.9893 (\055) ] TJ -197.652 -11.9551 Td [ (theless\054) -254.011 (our) -251.99 (approach) -253.013 (is) -253.003 (agnostic) -252.99 (to) -253.004 (the) -253.009 (matching) -252.985 (procedure) ] TJ 11.9547 TL T* [ (and) -213.998 (it) -213.989 (can) -214.007 (be) -214.003 (used) -213.991 (as) -214.002 (a) -214.008 (drop\055in) -213.983 (replacement) -213.991 (in) -213.991 (man) 14.9901 (y) -213.999 (of) -214.001 (these) ] TJ T* [ (state\055of\055the\055art) -249.986 (methods\056) ] TJ /R35 9.9626 Tf 27.5141 TL T* [ (5\0562\0561) -1000.01 (Image\055based) -249.991 (Camera) -249.991 (Localization) ] TJ /R37 9.9626 Tf 19.0219 TL T* [ (W) 79.9873 (e) -325.009 (emplo) 9.98424 (y) -326.019 (the) -324.997 (dataset) -324.992 (presented) -326.012 (in) -324.992 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 201.464 248.372 Tm (23) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 211.427 248.372 Tm [ (\135) -325.987 (as) -325.002 (an) -325.005 (instance) -326.007 (of) ] TJ /R35 8.9664 Tf -161.091 -11.9551 Td (P) Tj /R35 7.1731 Tf 5.92695 0 Td [ (R) -32.0105 (O) -61.9984 (B) -60.9798 (L) -62.0145 (E) -62.0145 (M) ] TJ /R156 8.9664 Tf 37.3 0 Td [ (6) -0.69977 ] TJ /R35 8.9664 Tf 5.5293 0 Td (\055) Tj /R35 7.9701 Tf 3.40898 0 Td (D) Tj /R35 6.3761 Tf 6.15273 0 Td (O) Tj /R35 7.9701 Tf 5.35625 0 Td (F) Tj /R37 9.9626 Tf 5.06875 0 Td [ (\056) -628.01 (This) -355.997 (dataset) -356.007 (consists) -355.98 (of) -356.017 (an) -356.019 (SfM) -355.997 (model) ] TJ -68.9668 -11.9551 Td [ (with) -302.986 (1\05665M) -303.019 (points\054) -317.007 (4\0563K) -302.992 (model) -304.003 (images) -302.986 (and) -303.003 (has) -303 (824) -304.013 (query) ] TJ 11.9551 TL T* [ (images) -272.991 (with) -272.011 (ground) -272.991 (truth) -272.992 (poses\056) -377.995 (F) 14.9926 (or) -273.012 (each) -272.981 (query) -271.986 (image\054) -278.995 (we) ] TJ T* [ (match) -272.017 (all) -271.004 (detected) -271.986 (SIFT) -272.004 (features) -271.995 (ag) 5.02 (ainst) -270.992 (the) -271.986 (SfM\047) 54.9908 (s) -271.989 (3D) -271.986 (fea\055) ] TJ 11.9563 TL T* [ (tures) -400.001 (using) -401.003 (an) -400.01 (approximate) -401 (nearest) -400.009 (neighbor) -399.987 (search) -400.997 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 270.595 188.596 Tm (20) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 9.9626 Tf 1 0 0 1 280.557 188.596 Tm (\135\056) Tj -230.445 -11.9551 Td [ (F) 14.992 (or) -354.018 (the) -354.011 (purely) -354.985 (2D\0553D) -354.007 (method\054) -379.982 (we) -353.981 (simply) -354.017 (tak) 10.0057 (e) -353.985 (all) -354.99 (2D\0553D) ] TJ 11.9547 TL T* [ (correspondences) -348.007 (to) -348.008 (compute) -347.995 (the) -348.013 (pose) -348.008 (of) -348.018 (each) -347.988 (image\056) -604 (F) 14.9926 (or) ] TJ T* [ (the) -322.017 (2D\0552D) -320.993 (method\054) -339.989 (for) -321.006 (each) -321.994 (3D) -322.017 (point) -321.015 (we) -321.988 (randomly) -321.993 (select) ] TJ T* [ (a) -266 (camera) -266.984 (in) -265.983 (the) -265.987 (model) -266.01 (that) -267 (reconstructed) -266.017 (that) -266.019 (point) -266.005 (and) -267.009 (use) ] TJ T* [ (this) -327.018 (camera) -327.013 (and) -326.998 (its) -326.003 (original) -327.014 (2D) -326.997 (measurement) -327.017 (to) -326.992 (recreate) -326.987 (a) ] TJ 11.9559 TL T* [ (2D\0552D) -312.994 (match\056) -500.016 (Finally) 65.0112 (\054) -329.001 (for) -313.008 (our) -313 (h) 4.98446 (ybrid) -312.988 (method\054) -329.011 (we) -313.009 (need) -313.984 (to) ] TJ 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Td (6\05627) Tj ET Q 5451.21 6838.69 m 5451.21 6909.95 l S 501.121 6767.43 m 501.121 6838.69 l S q 10 0 0 10 0 0 cm BT /R35 6.25113 Tf 1 0 0 1 55.4254 678.88 Tm <4f6602636532> Tj ET Q 798.359 6767.43 m 798.359 6838.69 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 93.3949 678.88 Tm (9) Tj ET Q 1100.79 6767.43 m 1100.79 6838.69 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 120.428 678.88 Tm [ (\055) -3311.03 (\055) -3213.98 (\055) -2908.97 (\055) -2700.01 (\055) -2700.01 (\055) -2921.97 (\055) ] TJ ET Q 2558.18 6767.43 m 2558.18 6838.69 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 265.645 678.88 Tm [ (0) -2519.02 (0\05656) ] TJ /R35 6.25113 Tf 40.5004 0 Td (13\0562) Tj /R37 6.25113 Tf 21.2824 0 Td [ (5\0562) -1783.01 (5\0569) -1783.01 (6\0565) ] TJ /R35 6.25113 Tf 58.2672 0 Td (5\0566) Tj ET Q 4004.7 6767.43 m 4004.7 6838.69 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 407.952 678.88 Tm [ (0\0561) -2144.01 (0\05665) -2084.99 (19) -2030.01 (5\0561) -1783.01 (5\0569) -1783.01 (6\0565) ] TJ /R35 6.25113 Tf 122.394 0 Td (5\0566) Tj ET Q 5451.21 6767.43 m 5451.21 6838.69 l S 501.121 6696.16 m 501.121 6767.42 l S q 10 0 0 10 0 0 cm BT /R35 6.25113 Tf 1 0 0 1 55.4254 671.754 Tm <4f6602636533> Tj ET Q 798.359 6696.16 m 798.359 6767.42 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 91.8316 671.754 Tm (33) Tj ET Q 1100.79 6696.16 m 1100.79 6767.42 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 115.998 671.754 Tm [ (0\05654) -2518.98 (0) -2547.01 (169) -1867.02 (3\0565) -1783.01 (4\0564) -1783.01 (5\0562) -2004.97 (4\0565) ] TJ ET Q 2558.18 6696.16 m 2558.18 6767.42 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 265.645 671.754 Tm [ (0) -2519.02 (0\05629) -1834.98 (272) -1779.03 (3\0569) -1783.01 (5\0563) -1783.01 (5\0569) -2004.97 (5\0568) ] TJ ET Q 4004.7 6696.16 m 4004.7 6767.42 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 406.389 671.754 Tm [ (0\05646) -1894.02 (0\05633) ] TJ /R35 6.25113 Tf 45.1891 0 Td (110) Tj /R37 6.25113 Tf 20.5008 0 Td [ (3\0562) -1783.01 (3\0568) -1783.01 (4\0565) ] TJ /R35 6.25113 Tf 58.2668 0 Td (4\0560) Tj ET Q 5451.21 6696.16 m 5451.21 6767.42 l S 501.121 6624.9 m 501.121 6696.16 l S q 10 0 0 10 0 0 cm BT /R35 6.25113 Tf 1 0 0 1 55.4254 664.628 Tm <4f6602636534> Tj ET Q 798.359 6624.9 m 798.359 6696.16 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 93.3949 664.628 Tm (9) Tj ET Q 1100.79 6624.9 m 1100.79 6696.16 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 115.998 664.628 Tm [ (0\05674) -2518.98 (0) -2421.97 (25\0563) -1741.99 (4\0561) -1783.01 (5\0564) -1783.01 (7\0567) ] TJ /R35 6.25113 Tf 125.045 0 Td (6\0563) Tj ET Q 2558.18 6624.9 m 2558.18 6696.16 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 265.645 664.628 Tm [ (0) -2519.02 (0\05651) -2084.99 (21) -2029.02 (4\0563) -1533 (5\05683) -1533.03 (7\0569) -2004.97 (6\0566) ] TJ ET Q 4004.7 6624.9 m 4004.7 6696.16 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 406.389 664.628 Tm [ (0\05672) -1894.02 (0\05654) ] TJ /R35 6.25113 Tf 44.4078 0 Td (16\0564) Tj /R37 6.25113 Tf 21.2824 0 Td [ (4\0561) -1783.01 (5\0564) -1783.01 (8\0560) -2004.97 (6\0565) ] TJ ET Q 5451.21 6624.9 m 5451.21 6696.16 l S 501.121 6553.64 m 501.121 6624.9 l S q 10 0 0 10 0 0 cm BT /R35 6.25113 Tf 1 0 0 1 55.4254 657.502 Tm <4f6602636535> Tj ET Q 798.359 6553.64 m 798.359 6624.9 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 91.8316 657.502 Tm (15) Tj ET Q 1100.79 6553.64 m 1100.79 6624.9 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 115.998 657.502 Tm [ (0\05658) -2518.98 (0) -2172.02 (115\0563) -1492.01 (3\0565) -1783.01 (5\0563) -1783.01 (7\0562) -2004.97 (5\0565) ] TJ ET Q 2558.18 6553.64 m 2558.18 6624.9 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 265.645 657.502 Tm [ (0) -2519.02 (0\05631) -1834.98 (151) -1779.03 (4\0561) -1783.01 (5\0564) -1783.01 (6\0568) -1755.02 (5\05654) ] TJ ET Q 4004.7 6553.64 m 4004.7 6624.9 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 406.389 657.502 Tm [ (0\05634) -1894.02 (0\05635) ] TJ /R35 6.25113 Tf 46.752 0 Td (85) Tj /R37 6.25113 Tf 18.9383 0 Td [ (3\0566) -1783.01 (4\0562) -1783.01 (5\0567) ] TJ /R35 6.25113 Tf 58.2664 0 Td (4\0563) Tj ET Q 5451.21 6553.64 m 5451.21 6624.9 l S 501.121 6482.37 m 501.121 6553.63 l S q 10 0 0 10 0 0 cm BT /R35 6.25113 Tf 1 0 0 1 55.4254 650.375 Tm <4f6602636536> Tj ET Q 798.359 6482.37 m 798.359 6553.63 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 91.8316 650.375 Tm (24) Tj ET Q 1100.79 6482.37 m 1100.79 6553.63 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 115.998 650.375 Tm [ (0\05607) -2518.98 (0) -2547.01 (983) -1867.02 (4\0564) -1783.01 (5\0563) -1783.01 (6\0563) ] TJ /R35 6.25113 Tf 125.045 0 Td (5\0564) Tj ET Q 2558.18 6482.37 m 2558.18 6553.63 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 265.645 650.375 Tm [ (0) -2519.02 (0\05653) ] TJ /R35 6.25113 Tf 40.5004 0 Td (9\05668) Tj /R37 6.25113 Tf 21.2824 0 Td [ (3\0564) -1783.01 (3\0567) -1783.01 (4\0560) -2004.97 (3\0568) ] TJ ET Q 4004.7 6482.37 m 4004.7 6553.63 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 406.389 650.375 Tm [ (0\05604) -1894.02 (0\05654) -1709.99 (19\0561) -1654 (3\0564) -1783.01 (3\0565) -1783.01 (4\0561) ] TJ /R35 6.25113 Tf 123.957 0 Td (3\0565) Tj ET Q 5451.21 6482.37 m 5451.21 6553.63 l S 501.121 6411.11 m 501.121 6482.37 l S q 10 0 0 10 0 0 cm BT /R35 6.25113 Tf 1 0 0 1 55.4254 643.249 Tm <4f6602636537> Tj ET Q 798.359 6411.11 m 798.359 6482.37 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 93.3949 643.249 Tm (9) Tj ET Q 1100.79 6411.11 m 1100.79 6482.37 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 115.998 643.249 Tm [ (0\05670) -2518.98 (0) -2421.97 (51\0564) -1741.99 (3\0569) -1533 (4\05652) -1283.01 (5\05657) ] TJ /R35 6.25113 Tf 125.045 0 Td (4\0567) Tj ET Q 2558.18 6411.11 m 2558.18 6482.37 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 265.645 643.249 Tm [ (0) -2519.02 (0\05625) -1834.98 (125) -1779.03 (4\0564) -1783.01 (5\0561) -1783.01 (5\0568) -2004.97 (5\0561) ] TJ ET Q 4004.7 6411.11 m 4004.7 6482.37 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 406.389 643.249 Tm [ (0\05663) -1894.02 (0\05627) ] TJ /R35 6.25113 Tf 44.4078 0 Td (41\0569) Tj /R37 6.25113 Tf 21.2824 0 Td [ (4\0562) -1783.01 (4\0567) -1783.01 (5\0561) ] TJ /R35 6.25113 Tf 58.2664 0 Td (4\0567) Tj ET Q 5451.21 6411.11 m 5451.21 6482.37 l S 501.121 6339.85 m 501.121 6411.11 l S q 10 0 0 10 0 0 cm BT /R35 6.25113 Tf 1 0 0 1 55.4254 636.123 Tm <4f6602636538> Tj ET Q 798.359 6339.85 m 798.359 6411.11 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 91.8316 636.123 Tm (11) Tj ET Q 1100.79 6339.85 m 1100.79 6411.11 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 115.998 636.123 Tm [ (0\05647) -2518.98 (0) -2547.01 (137) -1867.02 (3\0568) -1533 (4\05646) -1533.03 (5\0566) -2004.97 (4\0567) ] TJ ET Q 2558.18 6339.85 m 2558.18 6411.11 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 265.645 636.123 Tm [ (0) -2519.02 (0\05641) -2084.99 (75) -2029.02 (4\0561) -1783.01 (4\0568) -1783.01 (5\0564) -2004.97 (4\0569) ] TJ ET Q 4004.7 6339.85 m 4004.7 6411.11 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 406.389 636.123 Tm [ (0\05642) -1894.02 (0\05643) ] TJ /R35 6.25113 Tf 46.752 0 Td (48) Tj /R37 6.25113 Tf 18.9383 0 Td [ (4\0560) -1783.01 (4\0565) -1783.01 (5\0565) ] TJ /R35 6.25113 Tf 58.2664 0 Td (4\0565) Tj ET Q 5451.21 6339.85 m 5451.21 6411.11 l S 501.121 6268.58 m 501.121 6339.84 l S q 10 0 0 10 0 0 cm BT /R35 6.25113 Tf 1 0 0 1 55.4254 628.996 Tm <4f6602636539> Tj ET Q 798.359 6268.58 m 798.359 6339.84 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 93.3949 628.996 Tm (7) Tj ET Q 1100.79 6268.58 m 1100.79 6339.84 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 115.998 628.996 Tm [ (0\05621) -2518.98 (0) -2547.01 (279) -1867.02 (5\0569) -1783.01 (6\0562) -1783.01 (6\0564) -2004.97 (7\0561) ] TJ ET Q 2558.18 6268.58 m 2558.18 6339.84 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 265.645 628.996 Tm [ (0) -2519.02 (0\05649) ] TJ /R35 6.25113 Tf 42.0637 0 Td (8\0563) Tj /R37 6.25113 Tf 19.7191 0 Td [ (4\0561) -1783.01 (5\0562) -1783.01 (6\0565) -2004.97 (5\0566) ] TJ ET Q 4004.7 6268.58 m 4004.7 6339.84 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 406.389 628.996 Tm [ (0\05622) -1894.02 (0\05651) -1709.99 (15\0563) -1654 (4\0563) -1783.01 (5\0563) -1783.01 (5\0569) ] TJ /R35 6.25113 Tf 123.957 0 Td (5\0564) Tj ET Q 5451.21 6268.58 m 5451.21 6339.84 l S 501.121 6197.32 m 501.121 6268.58 l S q 10 0 0 10 0 0 cm BT /R35 6.25113 Tf 1 0 0 1 53.8629 621.87 Tm <4f660263653130> Tj ET Q 798.359 6197.32 m 798.359 6268.58 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 91.8316 621.87 Tm (23) Tj ET Q 1100.79 6197.32 m 1100.79 6268.58 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 115.998 621.87 Tm [ (0\05639) -2518.98 (0) -2547.01 (151) -1867.02 (5\0562) -1783.01 (6\0560) -1783.01 (6\0567) -2004.97 (6\0561) ] TJ ET Q 2558.18 6197.32 m 2558.18 6268.58 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 265.645 621.87 Tm [ (0) -2519.02 (0\05645) -1710 (15\0567) -1654.01 (4\0567) -1783.01 (5\0567) -1783.01 (6\0561) -2004.97 (5\0568) ] TJ ET Q 4004.7 6197.32 m 4004.7 6268.58 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 406.389 621.87 Tm [ (0\05638) -1894.02 (0\05645) ] TJ /R35 6.25113 Tf 44.4078 0 Td (11\0564) Tj /R37 6.25113 Tf 21.2824 0 Td [ (4\0568) -1783.01 (5\0565) -1783.01 (5\0569) ] TJ /R35 6.25113 Tf 58.2664 0 Td (5\0565) Tj ET Q 5451.21 6197.32 m 5451.21 6268.58 l S 501.121 6126.06 m 501.121 6197.32 l S q 10 0 0 10 0 0 cm BT /R35 6.25113 Tf 1 0 0 1 53.8629 614.744 Tm <4f660263653131> Tj ET Q 798.359 6126.06 m 798.359 6197.32 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 91.8316 614.744 Tm (58) Tj ET Q 1100.79 6126.06 m 1100.79 6197.32 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 115.998 614.744 Tm [ (0\05678) -2518.98 (0) -2421.97 (21\0563) -1741.99 (4\0564) -1783.01 (5\0561) -1783.01 (5\0565) -2004.97 (5\0560) ] TJ ET Q 2558.18 6126.06 m 2558.18 6197.32 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 265.645 614.744 Tm [ (0) -2519.02 (0\05647) ] TJ /R35 6.25113 Tf 42.0637 0 Td (9\0569) Tj /R37 6.25113 Tf 19.7191 0 Td [ (4\0563) -1783.01 (4\0569) -1533 (5\05657) -1754.99 (5\0561) ] TJ ET Q 4004.7 6126.06 m 4004.7 6197.32 l S q 10 0 0 10 0 0 cm BT /R37 6.25113 Tf 1 0 0 1 406.389 614.744 Tm [ (0\05677) -1894.02 (0\05647) ] TJ /R35 6.25113 Tf 46.752 0 Td (10) Tj /R37 6.25113 Tf 18.9383 0 Td [ (3\0568) -1783.01 (4\0563) -1783.01 (4\0569) ] TJ /R35 6.25113 Tf 58.2664 0 Td (4\0563) Tj ET Q 5451.21 6126.06 m 5451.21 6197.32 l S 501.121 6124.8 m 5451.21 6124.8 l S q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 50.1121 605.245 Tm [ (T) 79.9813 (able) -273.01 (3\056) -273.003 (Performance) -272.985 (on) -272.981 (t) 1.01153 (he) -273 (dataset) -273.015 (by) -272.981 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 196.246 605.245 Tm (33) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 205.213 605.245 Tm [ (\135\054) -278.985 (consisting) -273.008 (of) -271.993 (12) -272.981 (image) -273 (sequences) -273.005 (and) -273 (a) -273 (point) -273.008 (cloud) -272.992 (with) -272.017 (SIFT) -273.008 (descriptors\056) -378.992 (As) -272.986 (in) -273.014 (\133) ] TJ ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 510.384 605.245 Tm (5) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 514.868 605.245 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 518.409 605.245 Tm (30) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 527.376 605.245 Tm (\054) Tj ET Q 0 1 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 530.918 605.245 Tm (32) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 539.884 605.245 Tm (\135\054) Tj -489.772 -10.959 Td [ (the) -274.995 (position) -276 (error) -275.003 (is) -275.015 (computed) -276.009 (using) -275.016 (the) -274.994 (output) -276.014 (of) -274.999 (RANSA) 39.9958 (C) -275.015 (without) -276.014 <7265026e656d656e742e> -386.003 (Notice) -275.015 (that) -274.985 (our) -276 (h) 5.01002 (ybrid) -274.99 (approach) -275.012 (performs) -275.992 (better) -275.018 (both) -275.023 (in) ] TJ 10.959 TL T* [ (runtime) -294.988 (and) -294 (accurac) 15.0083 (y) -294.981 (than) -293.99 (using) -295.013 (each) -293.993 (of) -294.996 (the) -294.992 (matches) -294.015 (separately) 65.0187 (\056) -443.997 (F) 15.0056 (or) -294.995 (tw) 10.02 (o) -293.979 (sequences) -295.006 (\0501) -293.993 (and) -295 (2\051\054) -305.995 (there) -293.979 (w) 10.0092 (as) -294.998 (not) -294.012 (enough) -295.003 (visual) -294.976 (o) 14.9865 (v) 14.9865 (erlap) -293.979 (with) ] TJ T* [ (\223Of) 25.0072 <026365313294> -250.017 (in) -250.013 (order) -249.982 (to) -250.014 (localize) -249.982 (using) -250.01 (only) -250.014 (2D\0552D) -250.014 (matches\056) ] TJ ET Q 3.42889 w 796.43 5662.71 m 2568.32 5662.71 l S 796.43 5583.52 m 796.43 5660.98 l S q 10 0 0 10 0 0 cm BT /R37 6.86648 Tf 1 0 0 1 85.9426 552.849 Tm (Method) Tj ET Q 1136.05 5583.52 m 1136.05 5660.98 l S q 10 0 0 10 0 0 cm BT /R35 6.86648 Tf 1 0 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Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 54.5949 499.313 Tm [ (\1337\135) -556.01 (A\056) -436.993 (J\056) -437.981 (Da) 20.0115 (vison\054) -484.021 (I\056) -437.999 (D\056) -436.992 (Reid\054) -484.989 (N\056) -436.992 (D\056) -437.995 (Molton\054) -484.012 (and) -437.982 (O\056) -436.994 (Stasse\056) ] TJ 15.4359 -10.959 Td [ (Monoslam\072) -410.981 (Real\055time) -301.015 (single) -300.991 (c) 0.98294 (amera) -301.011 (slam\056) ] TJ /R47 8.9664 Tf 159.155 0 Td [ (P) 90 (AMI) ] TJ /R37 8.9664 Tf 20.6051 0 Td [ (\054) -301.015 (29\0722007\054) ] TJ -179.76 -10.959 Td (2007\056) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 93.4332 477.395 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 54.5949 465.367 Tm [ (\1338\135) -556.01 (M\056) -240.978 (Fischler) -242.017 (and) -241.981 (R\056) -241.012 (Bolles\056) -341.994 (Random) -242.003 (Sampling) -241.981 (Consensus\072) -304.985 (A) ] TJ 15.4359 -10.959 Td [ (P) 15.0049 (aradigm) -226.008 (for) -226.002 (Model) -226.983 (Fitting) -226.008 (with) -226.009 (Application) -225.987 (to) -227.011 (Image) -226.017 (Anal\055) ] TJ 10.959 TL T* [ (ysis) -250.004 (and) -249.998 (Automated) -250 (Cartograph) 5.00866 (y) 65 (\056) ] TJ /R47 8.9664 Tf 123.134 0 Td [ (CA) 29.9812 (CM) ] TJ /R37 8.9664 Tf 24.6402 0 Td [ (\054) -250 (24\054) -250 (1981\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 259.14 443.449 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 263.623 443.449 Tm (\054) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 268.107 443.449 Tm (2) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 54.5949 431.421 Tm [ (\1339\135) -556.01 (C\056) -402.989 (H) ] TJ 34.2492 0.04492 Td (\250) Tj -0.49727 -0.04492 Td [ (ane\054) -441.988 (L\056) -404.009 (Heng\054) -441.979 (G\056) -404.013 (H\056) -403.011 (Lee\054) -442.994 (F) 80.0038 (\056) -403.002 (Fraundorfer) 40.0039 (\054) -441.993 (P) 110.98 (\056) -404.004 (Fur) 17.9952 (g) 5.01002 (ale\054) ] TJ -18.316 -10.959 Td [ (T) 74.0129 (\056) -324.018 (Sattler) 39.9862 (\054) -342.01 (and) -324.015 (M\056) -323.012 (Pollefe) 15.0137 (ys\056) -595.993 (3D) -324.006 (visual) -323.993 (perce) 1.01834 (ption) -323.98 (for) -323.98 (self\055) ] TJ 10.959 TL T* [ (dri) 25.0011 (ving) -254.98 (cars) -253.99 (using) -255.02 (a) -255.007 (multi\055camera) -255.003 (system\072) -319.013 (Calibration\054) -256.015 (map\055) ] TJ T* [ (ping\054) -279.007 (localization\054) -279.003 (and) -273 (obstacle) -273.015 (detection\056) ] TJ /R47 8.9664 Tf 153.5 0 Td [ (Ima) 9.99554 (g) 10.02 (e) -273 (and) -272.981 (V) 74.0122 (ision) ] TJ -153.5 -10.959 Td (Computing) Tj /R37 8.9664 Tf 39.8551 0 Td [ (\054) -250 (2017\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 137.771 387.585 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 50.1121 375.557 Tm [ (\13310\135) -556.01 (R\056) -241.013 (Haralick\054) -244.007 (C\056\055N\056) -242.017 (Lee\054) -242.985 (K\056) -241.994 (Ottenber) 17.9925 (g\054) -243.988 (and) -241.981 (M\056) -241.981 (N) ] TJ 191.292 0.04531 Td (\250) Tj -0.74883 -0.04531 Td [ (olle\056) -343.012 (Re) 25.0011 (vie) 24.9957 (w) ] TJ -170.624 -10.959 Td [ (and) -283.979 (analysis) -285.016 (of) -284.018 (solutions) -284.013 (of) -285.02 (the) -284.013 (three) -284.003 (point) -284.989 (perspecti) 25.0011 (v) 14.9865 (e) -284.022 (pose) ] TJ 10.959 TL T* [ (estimation) -250.011 (problem\056) ] TJ /R47 8.9664 Tf 74.9582 0 Td (IJCV) Tj /R37 8.9664 Tf 18.4258 0 Td [ (\054) -250 (13\0503\051\054) -249.987 (1994\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 215.205 353.639 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 50.1121 341.611 Tm [ (\13311\135) -556.01 (J\056) -258.012 (Heinly) 64.9887 (\054) -260.02 (J\056) -258.012 (L\056) -258.98 (Sch) ] TJ 88.6418 0.04492 Td (\250) Tj -0.74883 -0.04492 Td [ (onber) 18.002 (ger) 40.0039 (\054) -260.02 (E\056) -258.98 (Dunn\054) -259.988 (and) -258.013 (J\056) -258.011 (M\056) -259.016 (Frahm\056) -386.017 (Re\055) ] TJ -67.9742 -10.959 Td [ (constructing) -250 (the) -249.988 (w) 10.0105 (orld\052) -249.984 (in) -250.014 (six) -250.008 (days\056) -360.018 (In) ] TJ /R47 8.9664 Tf 140.86 0 Td (CVPR) Tj /R37 8.9664 Tf 22.416 0 Td [ (\054) -250 (2015\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 261.193 330.652 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 50.1121 318.623 Tm [ (\13312\135) -556.01 (K\056) -395.998 (Josephson) -396.016 (and) -395.985 (M\056) -395.984 (Byrod\056) -826.982 (Pose) -396.007 (estimation) -395.999 (with) -396.002 (radial) ] TJ 19.9187 -10.9582 Td [ (distortion) -249.997 (and) -249.997 (unkno) 25.0052 (wn) -249.988 (focal) -250.022 (length\056) -360.004 (In) ] TJ /R47 8.9664 Tf 144.958 0 Td (CVPR) Tj /R37 8.9664 Tf 22.416 0 Td [ (\054) -250 (2009\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 265.291 307.665 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 269.774 307.665 Tm (\054) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 274.257 307.665 Tm (2) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 50.1121 295.636 Tm [ (\13313\135) -556.01 (K\056) -343.981 (Josephson\054) -367.983 (M\056) -344.01 (Byrod\054) -368.02 (F) 80.0038 (\056) -344.014 (Kahl\054) -367.996 (and) -344.012 (K\056) -344.984 (Astrom\056) -661 (Image\055) ] TJ 19.9187 -10.959 Td [ (based) -283.993 (localization) -283.991 (using) -283.991 (h) 5.01002 (ybrid) -284.008 (feature) -282.99 (correspondences\056) -468.987 (In) ] TJ /R47 8.9664 Tf 10.959 TL (CVPR) ' /R37 8.9664 Tf 22.416 0 Td [ (\054) -250 (pages) -250.012 (1\2268\056) -250.002 (IEEE\054) -249.987 (2007\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 184.828 273.718 Tm (2) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 189.311 273.718 Tm (\054) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 193.794 273.718 Tm (4) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 50.1121 261.69 Tm [ (\13314\135) -556.01 (L\056) -562.98 (Kneip\054) -641.979 (D\056) -562.984 (Scaramuzza\054) -642.015 (and) -564.017 (R\056) -563.004 (Sie) 14.9947 (gw) 10.0092 (art\056) -1362.99 (A) -563.007 (no) 14.9865 (v) 14.9865 (el) ] TJ 19.9187 -10.959 Td [ (parametrization) -270.009 (of) -268.988 (the) -269.984 (perspecti) 25.0011 (v) 14.9865 (e\055three\055point) -270.005 (problem) -268.989 (for) -270.002 (a) ] TJ 10.959 TL T* [ (direct) -289.003 (computation) -288.014 (of) -288.984 (absolute) -287.984 (camera) -289.008 (position) -287.981 (and) -288.988 (orienta\055) ] TJ T* [ (tion\056) -359.986 (In) ] TJ /R47 8.9664 Tf 29.132 0 Td (CVPR) Tj /R37 8.9664 Tf 22.4152 0 Td [ (\054) -250 (2011\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 149.464 228.813 Tm (2) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 153.947 228.813 Tm (\054) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 158.43 228.813 Tm (4) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 162.913 228.813 Tm (\054) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 167.396 228.813 Tm (7) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 50.1121 216.785 Tm [ (\13315\135) -556.01 (Z\056) -206.005 (K) 15.0205 (uk) 10.0194 (elo) 15.0205 (v) 25.0066 (a\054) -214.993 (M\056) -206.997 (Bujnak\054) -215.014 (and) -206.998 (T) 74.0122 (\056) -206 (P) 15.0042 (ajdla\056) -266.008 (Automatic) -205.988 (Generator) ] TJ 19.9187 -10.959 Td [ (of) -249.993 (Minimal) -250.002 (Problem) -250.019 (Solv) 15.0124 (ers\056) -359.988 (In) ] TJ /R47 8.9664 Tf 117.414 0 Td (ECCV) Tj /R37 8.9664 Tf 22.9172 0 Td [ (\054) -250 (2008\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 238.248 205.826 Tm (5) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 50.1121 193.798 Tm [ (\13316\135) -556.01 (Z\056) -229.007 (K) 15.0205 (uk) 10.0194 (elo) 15.0205 (v) 25.0066 (a\054) -232.985 (J\056) -228.998 (Heller) 39.9931 (\054) -234.012 (and) -228.999 (A\056) -229.011 (Fitzgibbon\056) -315.019 (Ef) 24.9875 <026369656e74> -228.983 (Intersec\055) ] TJ 19.9187 -10.9594 Td [ (tion) -200.993 (of) -200.982 (Three) -199.979 (Quadrics) -201.016 (and) -200.986 (Applications) -200.017 (in) -201.003 (Computer) -201.014 (V) 59.9787 (ision\056) ] TJ 10.959 TL (In) ' /R47 8.9664 Tf 9.71094 0 Td (CVPR) Tj /R37 8.9664 Tf 22.4152 0 Td [ (\054) -250 (2016\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 130.043 171.88 Tm (2) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 134.526 171.88 Tm (\054) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 139.009 171.88 Tm (4) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 50.1121 159.851 Tm [ (\13317\135) -556.01 (K\056) -2509.01 (Laurent\056) -7592 (Polyjam) -2509 (Softw) 9.9792 (are\056) ] TJ 19.9187 -10.9578 Td [ (https\072\057\057github) 40.0148 (\056com\057laurentkneip\057polyjam\054) -250.008 (2015\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 242.275 148.893 Tm (5) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 50.1121 136.864 Tm [ (\13318\135) -556.01 (Y) 128.988 (\056) -229.002 (Li\054) -234.008 (N\056) -230.014 (Sna) 19.9952 (v) 14.9865 (ely) 64.9901 (\054) -233.01 (D\056) -230.013 (P) 110.979 (\056) -230.004 (Huttenlocher) 39.9822 (\054) -233.01 (and) -230 (P) 110.98 (\056) -230.004 (Fua\056) -315 (W) 80.0106 (orldwide) ] TJ 19.9187 -10.959 Td [ (Pose) -249.017 (Estimation) -248.995 (Using) -249.017 (3D) -248.986 (Point) -248.985 (Clouds\056) -357.016 (In) ] TJ /R47 8.9664 Tf 158.833 0 Td (ECCV) Tj /R37 8.9664 Tf 22.9168 0 Td [ (\054) -248.998 (2016\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 279.639 125.905 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 284.123 125.905 Tm (\054) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 70.0309 114.946 Tm (7) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 50.1121 102.918 Tm [ (\13319\135) -556.01 (S\056) -359.985 (Middelber) 18.0061 (g\054) -387.013 (T) 74.0122 (\056) -360.003 (Sattler) 39.9862 (\054) -388.015 (O\056) -360.012 (Untzelmann\054) -387.011 (and) -360 (L\056) -360.008 (K) 35.0157 (obbelt\056) ] TJ 19.9187 -10.959 Td [ (Scalable) -257.99 (6\055DOF) -258.011 (Localization) -257.996 (on) -257.994 (Mobile) -257.992 (De) 25.0229 (vices\056) -384.99 (In) ] TJ /R47 8.9664 Tf 191.171 0 Td (ECCV) Tj /R37 8.9664 Tf 22.918 0 Td (\054) Tj -214.089 -10.959 Td (2014\056) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 93.4332 81.0004 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 308.862 710.037 Tm [ (\13320\135) -556.012 (M\056) -236.013 (Muja) -237.001 (and) -237.015 (D\056) -236.985 (G\056) -236.985 (Lo) 25.0011 (we\056) -332.018 (F) 15.0028 (ast) -237.001 (Approximate) -236.99 (Nearest) -236.016 (Neigh\055) ] TJ 19.9191 -10.9578 Td [ (bors) -306.014 (with) -306.997 (Automatic) -306.014 (Algorithm) -305.993 <436f6e026775726174696f6e2e> -541 (In) ] TJ /R47 8.9664 Tf 184.707 0 Td (VISAPP) Tj /R37 8.9664 Tf 29.382 0 Td (\054) Tj -214.089 -10.959 Td (2009\056) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 352.183 688.12 Tm (7) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 308.862 676.165 Tm [ (\13321\135) -556.012 (R\056) -249.987 (Pl) 0.98567 (ess\056) -360.014 (Using) -250.019 (Man) 15.0137 (y) -249.978 (Cameras) -249.978 (as) -249.995 (One\056) -359.987 (In) ] TJ /R47 8.9664 Tf 174.417 0 Td (CVPR) Tj /R37 8.9664 Tf 22.416 0 Td [ (\054) -250 (2003\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 533.58 676.165 Tm (5) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 308.862 664.209 Tm [ (\13322\135) -556.012 (T) 74.0122 (\056) -213.013 (Sattler) 39.9876 (\054) -219.984 (B\056) -214.002 (Leibe\054) -220.019 (and) -213.013 (L\056) -214.021 (K) 35.0157 (obbelt\056) -280.017 (Ef) 24.9848 <026369656e74> -212.991 (Ef) 24.9848 (fecti) 25.0174 (v) 14.9865 (e) -213.008 (Prior) 19.9965 (\055) ] TJ 19.9187 -10.959 Td [ (itized) -313.987 (Matching) -312.99 (for) -314.003 (Lar) 17.998 (ge\055Scale) -312.99 (Image\055Based) -314.009 (Localization\056) ] TJ /R47 8.9664 Tf 10.9582 TL T* [ (P) 90 (AMI) ] TJ /R37 8.9664 Tf 20.6051 0 Td [ (\054) -250 (39\0509\051\0721744\2261756\054) -249.978 (Sept) -250.017 (2017\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 462.201 642.292 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 466.684 642.292 Tm (\054) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 471.168 642.292 Tm (7) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 308.862 630.336 Tm [ (\13323\135) -556.012 (T) 74.0122 (\056) -218.982 (Sattler) 39.9876 (\054) -225.996 (W) 91.9911 (\056) -218.982 (Maddern\054) -226.001 (A\056) -218.992 (T) 79.9807 (orii\054) -225.99 (J\056) -219.02 (Si) 24.9902 (vic\054) -226.007 (T) 74.0122 (\056) -218.982 (P) 15.0028 (ajdla\054) -226.017 (M\056) -219.02 (Polle\055) ] TJ 19.9187 -10.959 Td [ (fe) 14.9974 (ys\054) -321.009 (and) -306.981 (M\056) -306.981 (Okutomi\056) -543.005 (Benchmarking) -307.006 (6DOF) -307.006 (Urban) -307.006 (V) 59.9787 (isual) ] TJ 10.9582 TL T* [ (Localization) -436.005 (in) -436.997 (Changing) -436.003 (Conditions\056) ] TJ /R47 8.9664 Tf 148.59 0 Td (arXiv\0721707\05609092) Tj /R37 8.9664 Tf 65.4988 0 Td (\054) Tj -214.089 -10.959 Td (2017\056) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 352.183 597.46 Tm (7) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 356.666 597.46 Tm (\054) Tj ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 361.15 597.46 Tm (8) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 308.862 585.504 Tm [ (\13324\135) -556.012 (T) 74.0122 (\056) -291.997 (Sattler) 39.9876 (\054) -302.017 (C\056) -291.984 (Sweene) 14.9811 (y) 65 (\054) -303.019 (and) -291.997 (M\056) -291.992 (Pollefe) 15.0137 (ys\056) -494.005 (On) -291.986 (Sampling) -291.992 (F) 15.0028 (o\055) ] TJ 19.9187 -10.9578 Td [ (cal) -326.986 (Length) -328.02 (V) 110.994 (alues) -326.983 (to) -327.996 (Solv) 15.0137 (e) -327.018 (the) -327.013 (Absolute) -328.009 (Pose) -326.997 (Problem\056) -608.021 (In) ] TJ /R47 8.9664 Tf 10.959 TL (ECCV) ' /R37 8.9664 Tf 22.918 0 Td [ (\054) -250 (2014\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 379.584 563.587 Tm (8) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 308.862 551.632 Tm [ (\13325\135) -556.012 (J\056) -263.979 (L\056) -264.992 (Sch) ] TJ 52.3148 0.04375 Td (\250) Tj -0.74883 -0.04375 Td [ (onber) 18.0034 (ger) -264.998 (and) -264.984 (J\056\055M) 1.01834 (\056) -264.987 (Frahm\056) -407.015 (Structure\055From\055Motion) ] TJ -31.6473 -10.959 Td [ (Re) 25.0011 (visited\056) -359.992 (In) ] TJ /R47 8.9664 Tf 48.8301 0 Td (CVPR) Tj /R37 8.9664 Tf 22.416 0 Td [ (\054) -250 (June) -249.995 (2016\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 446.589 540.673 Tm (1) Tj ET Q 0 g q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 308.862 528.717 Tm [ (\13326\135) -556.012 (H\056) -268.004 (Ste) 25.0147 (w) ] TJ 49.2488 0.04492 Td (\264) Tj -0.49688 -0.04492 Td [ (enius\054) -273.008 (D\056) -269.006 (Nist) ] TJ 50.1879 0.04492 Td (\264) Tj -0.49688 -0.04492 Td [ (er) 40.0039 (\054) -273.003 (M\056) -268.989 (Oskarsson\054) -272.992 (and) -268.995 (K\056) ] TJ 94.1879 1.39414 Td <09> Tj -1.73906 -1.39414 Td (Astr) Tj 16.1879 0.04492 Td (\250) Tj -0.74766 -0.04492 Td [ (om\056) -419.982 (So\055) ] TJ -186.413 -10.959 Td [ (lutions) -299.003 (to) -297.979 (Minimal) -299.011 (Generalized) -297.998 (Relati) 25.012 (v) 14.9865 (e) -299.006 (Pose) -297.982 (Problems\056) -516.005 (In) ] TJ /R47 8.9664 Tf 10.9578 TL (OMNIVIS) ' /R37 8.9664 Tf 35.8563 0 Td [ (\054) -250 (2005\056) ] TJ ET Q 1 0 0 rg q 10 0 0 10 0 0 cm BT /R37 8.9664 Tf 1 0 0 1 392.523 506.8 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