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空间离散点的三角Bézier整体VC~1,局部C~2光滑插值曲面

唐向阳   

  1. 西南民族学院数学系
  • 出版日期:1992-02-20 发布日期:1992-02-20

唐向阳. 空间离散点的三角Bézier整体VC~1,局部C~2光滑插值曲面[J]. 数值计算与计算机应用, 1992, 13(2): 92-98.

TRIANGULAR BEZIER INTERPOLATION SURFACE WITH WHOLE VC~1,LOCAL C~2 CONTINUITY OVER DISCRETE POINTS IN R~3

  1. Tang Xiang-yang Department of Mathematics, Southwest Nationalitis Institute
  • Online:1992-02-20 Published:1992-02-20
已知空间R~3中一组离散点{P_i=(x_i,y_i,z_i)}_(i=1)~m和每点P_i处的法向量n_(pi),i=1,2,…,m。假设对点集{P_i}已建立了空间三角形网格△,其中要求以非边界网格点为顶点的三角形的个数为奇数.
In this paper, a method for constructing a smooth interpolation surface that is piecewiseparametric triangular Bezier surface with whole tangent plane continuity (VC~1) and local C~2continuity over a given spatial triangular grid satisfied some conditions is given. The Bezierpoints needed in the Method are reduced. It is possible for us to generate a more complex sur-faces on microcomputers.
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[1] G. Farin. A Construction for Visual C~1 Continuity of Polynomials Surface Patches. CG&IP, 20(1982) , 272-282.
[2] G. Farin. Triangular Bernstein-Bezier Patches, CAGD., 3(1986) .83-127.
[3] 唐向阳,三角Bezier曲面片在一点处的VC~1拼接,西南民族学院学报(自然科学版),待发表.
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