C<sup>1</sup> Rational Interpolating Surface under Local Coordinate Systems

Jiang Shou-shan; Yang Peng-ji

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Jiang Shou-shan, Yang Peng-ji. C1 Rational Interpolating Surface under Local Coordinate Systems[J]. Applied Mathematics and Mechanics, 1987, 8(6): 485-490.

Citation:

Jiang Shou-shan, Yang Peng-ji. C¹ Rational Interpolating Surface under Local Coordinate Systems[J]. Applied Mathematics and Mechanics, 1987, 8(6): 485-490.

Jiang Shou-shan, Yang Peng-ji. C1 Rational Interpolating Surface under Local Coordinate Systems[J]. Applied Mathematics and Mechanics, 1987, 8(6): 485-490.

Citation:

Jiang Shou-shan, Yang Peng-ji. C¹ Rational Interpolating Surface under Local Coordinate Systems[J]. Applied Mathematics and Mechanics, 1987, 8(6): 485-490.

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C¹ Rational Interpolating Surface under Local Coordinate Systems

North-West Polytechnical University, Xi'an

Received Date: 1986-01-31
Publish Date: 1987-06-15

Abstract

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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References(5)

References

[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).