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曲率连续的三角B样条曲线与曲面 被引量:8

A TRIGONOMETRIC SPLINE CURVE AND SURFACE OF CURVATURE CONTINUITY
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摘要 给出了一种二次参数三角样条曲线 ,基函数由一组特殊的二次三角多项式组成 ;曲线的每一段由三个控制顶点生成 ,不仅具有二次均匀B样条曲线的端点性质 ,而且具有更好的逼近性、整体达到曲率连续。该曲线 (面 )可用于曲线曲面的造型。 This paper proposes a quadratic parametric trigonometric curve,which basis functions are made of quadratic trigonometric polynomial.Three consecutive control points generate each curve segment.This curve not only has end point property of quadratic uniform B spline curve,but also has G 2 continuous and approximate to the control polygon well.Hence,this curve could be used to free form curves and surfaces modeling
出处 《计算机应用与软件》 CSCD 北大核心 2005年第1期118-120,共3页 Computer Applications and Software
基金 本文为湖南省教育厅资助项目 (编号 :0 4C2 1 5)。
关键词 曲率连续 B样条曲线 曲线曲面 控制顶点 逼近性 均匀 基函数 三角多项式 端点 性质 Spline curve Trigonometric polynomial Approximation
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参考文献10

  • 1朱仁芝,程谟嵩.拟合任意空间曲面的三角函数方法[J].计算机辅助设计与图形学学报,1996,8(2):108-114. 被引量:48
  • 2G Farin, Rational Curves and Surfaces, in: T Lyche, L Schumaker ( Eds. ),Mathematical Methods in Computer Aided Geometric Desioa. Academic Press, Boston. 1989.
  • 3L Piegl, On NURBS: A survey, 1EEE Computer Graphics and Applications,1991,11(1),55 - 71.
  • 4H Potlmann, M G Wagner, Helix Splines as an example of arlene Tehebycheftian Splines. Adv Comput Math. 1994,2,123 - 142.
  • 5J M Pona, Shape Preserving Representations for Trigonometric Polynomial Curves, Computer Aided Getmetric Design, 1997,14 : 5 - 11.
  • 6E Mamar, et al, Shape Preserving alternatives to the rational Bézier model, Computer Aided Geometric Desioa, 2001,18 ( 1 ) :37 - 60.
  • 7G Farin, Rational Curves and Surfaces, in: T Lyche, L Schumaker ( Eds. ),Mathematical Methods in Computer Aided Geometric Desioa. Academic Press, Boston. 1989.
  • 8H Pottmann, M G Wagner, Helix Splines as an example of affine Tchebycheffian Splines. Adv Comput Math. 1994,2,123 - 142.
  • 9J M Pona, Shape Preserving Representations for Trigonometric Polynomial Curves, Computer Aided Gepmetric Design, 1997,14 : 5 - 11.
  • 10E Marmar, et al. Shape Preserving alternatives to the rational Bezier model,Computer Aided Geometric Desioa, 2001,18 ( 1 ) :37 - 60.

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