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Curvature calculations on triangular 3D surface

by J. Ole Kaven

 

05 Aug 2009 (Updated 06 Aug 2009)

Code covered by BSD License  

Calculate principal curvatures on a triangular mesh in 3D.

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Description

Function to calculate the principal curvatures on a triangular mesh. Approximations of curvature are based on local (N=1) neighborhood elements and vertices.

Note: Directions of curvatures aren't calculated appropriately. Will post an updated version once this is implemented.

Note that calculations at vertices with few adjacent triangles, and hence few adjacent vertices, are expanded to a greater neighborhood.

Reference:
1) Chen and Schmitt (1992) Intrinsic surface properties from surface triangulation
2) Dong et al. (2005) Curvature estimation on triangular mesh, JZUS

This code makes use of routines: buildInverseTriangualtion.m & removeDO.m
initially written by: David Gringas. He is gratefully acknowledged

MATLAB release MATLAB 7.7 (R2008b)
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tricurv.tar.gz
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Updates
06 Aug 2009

Directions of curvatures aren't calculated appropriately. Will post an updated version once this is implemented.

Tag Activity for this File
Tag Applied By Date/Time
mesh J. Ole Kaven 06 Aug 2009 11:17:20
3d J. Ole Kaven 06 Aug 2009 11:17:21
differential geometry J. Ole Kaven 06 Aug 2009 11:17:21
triangulation J. Ole Kaven 06 Aug 2009 11:17:21
differential geometry Atul Kumar 26 Aug 2009 17:30:55
 

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