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三角网格曲面上离散曲率改进算法

马献德 谢小峰

计算机工程与应用Issue(13):196-200,5.
计算机工程与应用Issue(13):196-200,5.DOI:10.3778/j.issn.1002-8331.1207-0433

三角网格曲面上离散曲率改进算法

Improved algorithm of discrete curvatures estimation for triangular meshes

马献德 1谢小峰2

作者信息

  • 1. 南京电子技术研究所 一部,南京 210039
  • 2. 南京禄口国际机场 动力技术部,南京 211113
  • 折叠

摘要

Abstract

The Meyer method of calculating discrete curvatures for triangular meshes is concise in geometry and requires relatively small amount of calculation, but there is still potential to improve its results. The concepts of mean curvature structural vector and Gauss curvature structural angle are suggested, along with their geometric significance. Based on these analyses, the improved algorithms of the Meyer method are constructed, in which the main steps are simplified and the unnecessary errors are avoided. Simulation results show that the proposed algorithms effectively improve the calculation precision and efficiency of discrete curvatures estimation for triangular meshes.

关键词

离散曲率/三角网格/平均曲率构造向量/Gauss曲率构造角

Key words

discrete curvature/triangulated grid model/mean curvature structural vector/Gauss curvature structural angle

分类

信息技术与安全科学

引用本文复制引用

马献德,谢小峰..三角网格曲面上离散曲率改进算法[J].计算机工程与应用,2014,(13):196-200,5.

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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