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曲面上数据的C^1有理插值 被引量:3

C^1 MODELING OF SURFACE DATA BY RATIONAL FUNCTIONS
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摘要 We present an efficient algorithm to model a collection of scattered functional data on a given smooth surface D in three dimensional real space by a C1 piecewise trivariate rational function F over a collection of tetrahedra that contains D. We present an efficient algorithm to model a collection of scattered functional data on a given smooth surface D in three dimensional real space by a C1 piecewise trivariate rational function F over a collection of tetrahedra that contains D.
作者 徐国良
出处 《计算数学》 CSCD 北大核心 1997年第4期431-437,共7页 Mathematica Numerica Sinica
基金 国家自然科学基金
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参考文献1

  • 1A. J. Worsey,G. Farin. Ann-dimensional Clough-Tocher interpolant[J] 1987,Constructive Approximation(1):99~110

同被引文献14

  • 1李卫国,学位论文,1998年
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  • 5Robert E. Barnhill and Karsten OpitzHelmut Pottmann.Fat surfaces: a trivariate approach to triangle-based interpolation on surfaces. Computer Aided Geometric Design . 1992
  • 6Pohmann H,Eck M.Modified multiquadric methods for scattered data interpolation over a surface. Computer Aided Geometric Design . 1990
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  • 9Choi B K,Shin H Y,Yoon Y I,et al.Triangulation of scattered data in 3D space. Computer Aided Design . 1988
  • 10Lawson,C.L.Surface interpolation for scattered data on a sphere. Rocky Mountain Journal of Mathematics . 1984

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