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Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2005, Vol. 6 Issue (Supplement 1): 128-136    DOI: 10.1007/BF02887228
Computer and Information Science     
Curvatures estimation on triangular mesh
DONG Chen-shi, WANG Guo-zhao
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Abstract  Curvatures are important geometric attributes of surfaces. There are many applications that require as a first step the accurate estimation of curvatures at arbitrary vertices on a triangulated surface. Chen and Schmitt (1992) and Taubin (1995) presented two simple methods to estimate principal curvatures. They used circular arcs to approximate the normal curvature. We find this may cause large error in some cases. In this paper, we describe a more accurate method to estimate the normal curvature, and present a novel algorithm to estimate principal curvatures by simplifying the Chen and Schmitt’s method. Some comparison results are also shown in this paper.

Key wordsTriangular mesh      Curvatures estimation      Principal curvatures     
CLC:  TP391.7  
Cite this article:

DONG Chen-shi, WANG Guo-zhao. Curvatures estimation on triangular mesh. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6(Supplement 1): 128-136.

URL:

http://www.zjujournals.com/xueshu/zjus-a/10.1007/BF02887228     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2005/V6/ISupplement 1/128

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