A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations

Mei Heng Yueh*, Wen Wei Lin, Chin Tien Wu, Shing Tung Yau

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

10 引文 斯高帕斯(Scopus)

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.

原文英語
頁(從 - 到)1353-1386
頁數34
期刊Journal of Scientific Computing
78
發行號3
DOIs
出版狀態已發佈 - 2019 三月 1

ASJC Scopus subject areas

  • 軟體
  • 理論電腦科學
  • 數值分析
  • 工程 (全部)
  • 計算機理論與數學
  • 計算數學
  • 應用數學

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