2016/03/15 by Saad Nadeem, Zhengyu Su, Wei Zeng +2 · 57 citations
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #Advanced Numerical Analysis Techniques #Advanced Vision and Imaging #Algorithm #Computer science #Conformal map #Distortion (music) #Geometry #Mathematical analysis #Mathematical optimization #Mathematics #Polar coordinate system #Spherical harmonics #cs.GR
paper · pdf · doi:10.1109/tvcg.2016.2542073
published in IEEE Transactions on Visualization and Computer Graphics 23(6), 1663-1676 (Institute of Electrical and Electronics Engineers) · IEEE Transactions on Visualization and Computer Graphics, 23(6):1663-1676, 2017 (17 pages, 20 figures)
openalex publication_date 2016/03/15 · arxiv created 2018/10/21 · arxiv updated 2018/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
This work presents a novel framework for spherical mesh parameterization. An efficient angle-preserving spherical parameterization algorithm is introduced, which is based on dynamic Yamabe flow and the conformal welding method with solid theoretic foundation. An area-preserving spherical parameterization is also discussed, which is based on discrete optimal mass transport theory. Furthermore, a spherical parameterization algorithm, which is based on the polar decomposition method, balancing angle distortion and area distortion is presented. The algorithms are tested on 3D geometric data and the experiments demonstrate the efficiency and efficacy of the proposed methods.