標題: A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations
作者: Yueh, Mei-Heng
Lin, Wen-Wei
Wu, Chin-Tien
Yau, Shing-Tung
應用數學系
Department of Applied Mathematics
關鍵字: Equiareal parameterizations;Simply connected open surfaces;Surface remeshing;Surface registration
公開日期: 1-Mar-2019
摘要: Surface parameterizations have been widely applied to computer graphics and digital geometry processing. In this paper, we propose a novel stretch energy minimization (SEM) algorithm for the computation of equiareal parameterizations of simply connected open surfaces with very small area distortions and highly improved computational efficiencies. In addition, the existence of nontrivial limit points of the SEM algorithm is guaranteed under some mild assumptions of the mesh quality. Numerical experiments indicate that the accuracy, effectiveness, and robustness of the proposed SEM algorithm outperform the other state-of-the-art algorithms. Applications of the SEM on surface remeshing, registration and morphing for simply connected open surfaces are demonstrated thereafter. Thanks to the SEM algorithm, the computation for these applications can be carried out efficiently and reliably.
URI: http://dx.doi.org/10.1007/s10915-018-0822-7
http://hdl.handle.net/11536/151669
ISSN: 0885-7474
DOI: 10.1007/s10915-018-0822-7
期刊: JOURNAL OF SCIENTIFIC COMPUTING
Volume: 78
Issue: 3
起始頁: 1353
結束頁: 1386
Appears in Collections:Articles