Termination criterion for subdivision of triangular Bézier patch

A theorem regarding the termination criterion for subdivision of triangular Bézier patch is presented with detailed proof. As the number of times for subdividing a triangular Bézier patch can be a determined prior, according to the given tolerance, the subdividing process can be conduced consecutive...

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Bibliographic Details
Published in:Computers & graphics 2002-02, Vol.26 (1), p.67-74
Main Authors: Li, Yong-Qing, Ke, Ying-Lin, Li, Wei-Shi, Peng, Qun-Sheng, Tan, Jian-Rong
Format: Article
Language:English
Subjects:
Approximate
Subdivision
Termination criterion
Triangular Bézier patch
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Summary:A theorem regarding the termination criterion for subdivision of triangular Bézier patch is presented with detailed proof. As the number of times for subdividing a triangular Bézier patch can be a determined prior, according to the given tolerance, the subdividing process can be conduced consecutively without checking for linearity after each subdivision. The theorem has potentials in various CAD/CAM applications.
ISSN:0097-8493
1873-7684
DOI:10.1016/S0097-8493(01)00158-3