局部坐标下的有理插值曲面C1*
C1 Rational Interpolating Surface under Local Coordinate Systems
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摘要: 本文提出一种在局部坐标系下构造有理插值曲面的方法,它可用来解决曲面的"大挠度"问题。这种曲面逼近效果较佳,也便于讨论其性质,在几何外形设计、有限元分析及其它领域都有实用意义。文中给出具体的构造实例。Abstract: A method of constructing rational interpolating surface under local coordinate systems is presented,which can be used to solve the "large torsion problem" of surfaces.This kind of surface has better approximating effect and its properties can be easily discussed,so it has practical applications not only in CAD but also infinite element analysis and other fields.An example is given in the paper.
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[1] Barnhill,Robert E.,Representation and approximation of surfaces,Mathematical Software,Ⅲ.J.R.Rice Ed.,Academic Press,New York(1977),69-120. [2] Wang,C,Y.,C1 Rational interpolation over an arbitrary triangle,CAD,15,1(1983). [3] Barnhill,R.E.,Smooth interpolation over triangles,CAGD(1974),45. [4] Lewis,B.A.and J.S.Robinson,Triangulation of planar regions with application,The Computer Journal,21,4(1978),324-332. [5] 孙家昶,《样条函数与计算几何》,科学出版社(1982). -
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