An Efficient Energy Minimization for Conformal Parameterizations

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


研究成果: 雜誌貢獻期刊論文同行評審

28 引文 斯高帕斯(Scopus)


Surface parameterizations have been widely applied to digital geometry processing. In this paper, we propose an efficient conformal energy minimization (CEM) algorithm for computing conformal parameterizations of simply-connected open surfaces with a very small angular distortion and a highly improved computational efficiency. In addition, we generalize the proposed CEM algorithm to computing conformal parameterizations of multiply-connected surfaces. Furthermore, we prove the existence of a nontrivial accumulation point of the proposed CEM algorithm under some mild conditions. Several numerical results show the efficiency and robustness of the CEM algorithm comparing to the existing state-of-the-art algorithms. An application of the CEM on the surface morphing between simply-connected open surfaces is demonstrated thereafter. Thanks to the CEM algorithm, the whole computations for the surface morphing can be performed efficiently and robustly.

頁(從 - 到)203-227
期刊Journal of Scientific Computing
出版狀態已發佈 - 2017 10月 1

ASJC Scopus subject areas

  • 軟體
  • 理論電腦科學
  • 數值分析
  • 一般工程
  • 計算機理論與數學
  • 計算數學
  • 應用數學


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