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A subdivision scheme for rational triangular Bézier surfaces

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Abstract

An explicit formula is developed to decompose a rational triangular Bézier patch into three non-degenerate rational rectangular Bézier patches of the same degree. This formula yields a stable algorithm to compute the control vertices of those, three rectangular subpatches. Some properties of the subdivision are discussed and the formula is illustrated with an example.

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Authors and Affiliations

  1. State Key Laboratory of CAD & CG, Zhejiang University, 310027, Hangzhou

    Hu Shimin

Authors
  1. Hu Shimin
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Additional information

This work is supported by Natural Science Foundation of Zhejiang Province.

Hu Shimin received his B.S. degree in computational mathematics from Jilin University and his M.S. degree in applied mathematics from Zhejiang University. He is currently a Ph.D. candidate of Zhijiang University. His research interests are in computer-aided geometric design, computer graphics and fractal geometry.

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Hu, S. A subdivision scheme for rational triangular Bézier surfaces. J. of Compt. Sci. & Technol. 11, 9–16 (1996). https://doi.org/10.1007/BF02943517

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  • DOI: https://doi.org/10.1007/BF02943517

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