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Home > Archive>Volume 19, Issue zk, 2008 >161-172
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Construction of Geometric PDE Bézier Surface with G1 Continuity
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    Abstract:

    Basing on discretizations of Laplace-Beltrami operator and Gaussian curvature over triangular and quadrilateral meshes and their convergence analyses, this paper proposes in this paper a novel approach for constructing geometric partial differential equation (PDE) Bézier surfaces, using several fourth order geometric flows. Both three-sided and four-sided Bézier surface patches are constructed with G1 boundary constraint conditions. Convergence properties of the proposed method are numerically investigated, which justify that the method is effective and mathematically correct.

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徐国良,李 明. G1连续几何偏微分方程Bézier曲面的构造.软件学报,2008,19(zk):161-172

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History
  • Received:May 03,2008
  • Revised:November 14,2008
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