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On C2 triangle/quad subdivision

delete2005-01-01
delete21
PRE
AI
S
Scott Schaefer
J
Joe Warren
DOI:10.1145/1037957.1037959delete
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Abstract

Abstract

En 中文
In this article, we present a subdivision scheme for mixed triangle/quad meshes that is C-2 everywhere except for isolated, extraordinary points. The rules that we describe are the same as Stam and Loop's scheme [2003] except that we perform an unzipping pass prior to subdivision. This simple modification improves the smoothness along the ordinary triangle/quad boundary from C-1 to C-2, and creates a scheme capable of subdividing arbitrary meshes. Finally, we end with a proof based on Levin and Levin's [2003] joint spectral radius calculation to show our scheme is indeed C2 along the triangle/quad boundary.
Keywords:
algorithms
subdivision
triangle/quad
joint spectral radius
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Journal

ACM Transactions on Graphics cover
ACM Transactions on Graphics
IF:
9.5
Papers:
4.7K
Citations:
3.6W

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