{"id":343757,"date":"2016-12-29T21:28:54","date_gmt":"2016-12-30T05:28:54","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&#038;p=343757"},"modified":"2018-10-16T21:35:32","modified_gmt":"2018-10-17T04:35:32","slug":"computing-locally-injective-mappings-advanced-mips","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/computing-locally-injective-mappings-advanced-mips\/","title":{"rendered":"Computing Locally Injective Mappings by Advanced MIPS"},"content":{"rendered":"<p><span class=\"tx\">Computing locally injective mappings with low distortion in an<\/span><span class=\"tx\">ef\ufb01cient way is a fundamental task in computer graphics.\u00a0By re-<\/span><span class=\"tx\">visiting the well-known MIPS (Most-Isometric ParameterizationS)<\/span><span class=\"tx\">method, we introduce an advanced MIPS method that inherits the<\/span><span class=\"tx\">local injectivity of MIPS, achieves as low as possible distortions<\/span><span class=\"tx\">compared to the state-of-the-art locally injective mapping techniques,<\/span><span class=\"tx\">and performs one to two orders of magnitude faster in computing<\/span><span class=\"tx\">a mesh-based mapping.\u00a0The success of our method relies on two<\/span><span class=\"tx\">key components. The \ufb01rst one is an enhanced MIPS energy function<\/span><span class=\"tx\">that penalizes the maximal distortion signi\ufb01cantly and distributes<\/span><span class=\"tx\">the distortion evenly over the domain for both mesh-based and mesh-<\/span><span class=\"tx\">less mappings. The second is a use of the inexact block coordinate<\/span><span class=\"tx\">descent method in mesh-based mapping in a way that ef\ufb01ciently min-<\/span><span class=\"tx\">imizes the distortion with the capability not to be trapped early by<\/span><span class=\"tx\">the local minimum. We demonstrate the capability and superiority of<\/span><span class=\"tx\">our method in various applications including mesh parameterization,<\/span><span class=\"tx\">mesh-based and meshless deformation, and mesh improvemen<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Computing locally injective mappings with low distortion in anef\ufb01cient way is a fundamental task in computer graphics.\u00a0By re-visiting the well-known MIPS (Most-Isometric ParameterizationS)method, we introduce an advanced MIPS method that inherits thelocal injectivity of MIPS, achieves as low as possible distortionscompared to the state-of-the-art locally injective mapping techniques,and performs one to two orders of magnitude [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","footnotes":""},"msr-content-type":[3],"msr-research-highlight":[],"research-area":[13562],"msr-publication-type":[193716],"msr-product-type":[],"msr-focus-area":[],"msr-platform":[],"msr-download-source":[],"msr-locale":[268875],"msr-post-option":[],"msr-field-of-study":[],"msr-conference":[],"msr-journal":[],"msr-impact-theme":[],"msr-pillar":[],"class_list":["post-343757","msr-research-item","type-msr-research-item","status-publish","hentry","msr-research-area-computer-vision","msr-locale-en_us"],"msr_publishername":"ACM","msr_edition":"ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH 2015","msr_affiliation":"","msr_published_date":"2015-08-01","msr_host":"","msr_duration":"","msr_version":"","msr_speaker":"","msr_other_contributors":"","msr_booktitle":"","msr_pages_string":"","msr_chapter":"","msr_isbn":"","msr_journal":"","msr_volume":"","msr_number":"","msr_editors":"","msr_series":"","msr_issue":"","msr_organization":"","msr_how_published":"","msr_notes":"","msr_highlight_text":"","msr_release_tracker_id":"","msr_original_fields_of_study":"","msr_download_urls":"","msr_external_url":"","msr_secondary_video_url":"","msr_longbiography":"","msr_microsoftintellectualproperty":1,"msr_main_download":"","msr_publicationurl":"https:\/\/app.box.com\/s\/h6650u6vnxf581hl2rodr3enzf7silex","msr_doi":"10.1145\/2766938","msr_publication_uploader":[{"type":"url","title":"https:\/\/app.box.com\/s\/h6650u6vnxf581hl2rodr3enzf7silex","viewUrl":false,"id":false,"label_id":0},{"type":"doi","title":"10.1145\/2766938","viewUrl":false,"id":false,"label_id":0}],"msr_related_uploader":"","msr_attachments":[{"id":0,"url":"https:\/\/app.box.com\/s\/h6650u6vnxf581hl2rodr3enzf7silex"}],"msr-author-ordering":[{"type":"text","value":"Xiao-Ming Fu","user_id":0,"rest_url":false},{"type":"user_nicename","value":"yangliu","user_id":34959,"rest_url":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/microsoft-research\/v1\/researchers?person=yangliu"},{"type":"text","value":"Baining Guo","user_id":0,"rest_url":false}],"msr_impact_theme":[],"msr_research_lab":[],"msr_event":[],"msr_group":[],"msr_project":[],"publication":[],"video":[],"download":[],"msr_publication_type":"inproceedings","related_content":[],"_links":{"self":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-research-item\/343757"}],"collection":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-research-item"}],"about":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/types\/msr-research-item"}],"version-history":[{"count":2,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-research-item\/343757\/revisions"}],"predecessor-version":[{"id":537194,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-research-item\/343757\/revisions\/537194"}],"wp:attachment":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/media?parent=343757"}],"wp:term":[{"taxonomy":"msr-content-type","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-content-type?post=343757"},{"taxonomy":"msr-research-highlight","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-research-highlight?post=343757"},{"taxonomy":"msr-research-area","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/research-area?post=343757"},{"taxonomy":"msr-publication-type","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-publication-type?post=343757"},{"taxonomy":"msr-product-type","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-product-type?post=343757"},{"taxonomy":"msr-focus-area","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-focus-area?post=343757"},{"taxonomy":"msr-platform","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-platform?post=343757"},{"taxonomy":"msr-download-source","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-download-source?post=343757"},{"taxonomy":"msr-locale","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-locale?post=343757"},{"taxonomy":"msr-post-option","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-post-option?post=343757"},{"taxonomy":"msr-field-of-study","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-field-of-study?post=343757"},{"taxonomy":"msr-conference","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-conference?post=343757"},{"taxonomy":"msr-journal","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-journal?post=343757"},{"taxonomy":"msr-impact-theme","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-impact-theme?post=343757"},{"taxonomy":"msr-pillar","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-pillar?post=343757"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}