摘要
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.
原文 | 英語 |
---|---|
頁(從 - 到) | 203-227 |
頁數 | 25 |
期刊 | Journal of Scientific Computing |
卷 | 73 |
發行號 | 1 |
DOIs | |
出版狀態 | 已發佈 - 2017 10月 1 |
對外發佈 | 是 |
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