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 |