G 1 B - Spline Surface Construction By Geometric Partial Differential Equations ∗
نویسندگان
چکیده
In this paper, we propose a dynamic B-spline technique using general form fourth order geometric PDEs. Basing on discretizaions of Laplace-Beltrami operator and Gaussian curvature over triangular and quadrilateral meshes and their convergence analysis, we propose in this paper a novel approach for constructing geometric PDE B-spline surfaces, using general form fourth order geometric flows. Foursided Spline surface patches are constructed with G boundary constraint conditions. Convergence properties of the proposed method are numerically investigated, which justify that the method is effective and mathematically sound.
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G 1 Spline Surface Construction By Geometric Partial Differential Equations Using Mixed Finite Element Methods ∗
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