Optimizing global injectivity for constrained parameterization

• Published in: ACM transactions on graphics Vol. 40; no. 6; pp. 1 - 18
• Main Authors: Du, Xingyi, Kaufman, Danny M., Zhou, Qingnan, Kovalsky, Shahar Z., Yan, Yajie, Aigerman, Noam, Ju, Tao
• Format: Journal Article
• Language: English
• Published: New York, NY, USA ACM 10.12.2021
• Subjects: Computer graphics; Computing methodologies; Mesh models; Shape modeling; bijective; parameterization; mapping

Injective parameterizations of triangulated meshes are critical across applications but remain challenging to compute. Existing algorithms to find injectivity either require initialization from an injective starting state, which is currently only possible without positional constraints, or else can...