@inproceedings{liu2011general, author = {Liu, Yang and Xu, Weiwei and Wang, Jun and Zhu, Lifeng and Guo, Baining and Chen, Falai and Wang, Guoping}, title = {General planar quadrilateral mesh design using conjugate direction field}, booktitle = {SA '11 Proceedings of the 2011 SIGGRAPH Asia Conference}, year = {2011}, month = {December}, abstract = {We present a novel method to approximate a freeform shape with a planar quadrilateral (PQ) mesh for modeling architectural glass structures. Our method is based on the study of conjugate direction fields (CDF) which allow the presence of ±k/4(k ∈ Z) singularities. Starting with a triangle discretization of a freeform shape, we first compute an as smooth as possible conjugate direction field satisfying the user’s directional and angular constraints, then apply mixed-integer quadrangulation and planarization techniques to generate a PQ mesh which approximates the input shape faithfully. We demonstrate that our method is effective and robust on various 3D models.}, publisher = {ACM}, url = {http://approjects.co.za/?big=en-us/research/publication/general-planar-quadrilateral-mesh-design-using-conjugate-direction-field/}, edition = {SA '11 Proceedings of the 2011 SIGGRAPH Asia Conference}, }