A Constructive Algorithm for Disk Conformal Parameterizations

Wei Hung Liao, Mei Heng Yueh*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

Surface parameterization is a fundamental issue widely studied and applied in various image and geometry processing tasks, such as surface registration, remeshing, and texture mapping. In this paper, we propose an efficient constructive algorithm for the computation of disk conformal parameterizations of simply connected open surfaces by combining the spherical harmonic mapping of the doubly covered surface and the geodesic algorithm. In addition, we prove the number of unknowns involved in the computation of the spherical harmonic mapping of the doubly covered surface can be reduced by roughly half. Numerical experiments indicate that the efficiency of the proposed algorithm is improved while the accuracy remains similar or even slightly better compared to the other state-of-the-art algorithms.

原文英語
文章編號40
期刊Journal of Scientific Computing
92
發行號2
DOIs
出版狀態已發佈 - 2022 8月

ASJC Scopus subject areas

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

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