期刊文献+

带有给定切线多边形的C^5连续有理样条曲线

C^5 CONTINUOUS RATIONAL SPLINE CURVE WITH GIVEN TANGENT POLYGON
下载PDF
导出
摘要 描述了一种与给定多边形相切的有理样条曲线的算法。在算法中,所有的有理样条曲线的控制点可以通过对多边形的顶点简单计算产生。所构造的曲线对多边形具有保形性。曲线可以局部修改。最后给出了两个算例。 In this paper, an algorithm for constructing rational spline curve which is tangent to the given polygon is described. The control points of the rational spline to be constructed are computed simply by the vertices of the given polygon. The constructed curve is shape-preserving to the polygon. The local modification to the rational spline curve can be completed by simply adjusting the corresponding control parameters. Two examples are given.
作者 王成伟
出处 《计算机应用与软件》 CSCD 北大核心 2005年第9期108-110,共3页 Computer Applications and Software
  • 相关文献

参考文献8

二级参考文献28

  • 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
  • 2[1]Hoschek J, Lasser D. Fundamentals of computer aided geometric design[M]. Wellesley, MA: A. K. Peters, 1993. 被引量:1
  • 3[2]Barsky B A. Computer graphics and geometric modeling using Beta-spline[M]. Heidelberg: Springer-Verlag, 1988. 被引量:1
  • 4[3]Gregory J A, Sarfraz M. A rational cubic spline with tension [J]. Computer Aided Geometric Design, 1990,7 (9): 1~13. 被引量:1
  • 5[4]Joe B. Multiple-knot and rational cubic Beta-spline[J]. ACM Trans. Graph. 1989,8:100~120. 被引量:1
  • 6[5]Boehm W. Rational geometric splines [J]. Computer Aided Geometric Design, 1990,7(4) :67~77. 被引量:1
  • 7[6]Goodman T N T. Constructing piecewise rational curves with Frenet frame continuity[J]. Computer Aided Geometric Design,1990,7(7) :15~31. 被引量:1
  • 8[7]Joe B. Quartic beta-splines[J]. ACM Trans. Graph. , 1990,9:301~337. 被引量:1
  • 9[8]Schoenberg I J. On trigonometric spline interpolation [J]. J.Math. Mech., 1964,13:795~825. 被引量:1
  • 10[9]Lyche T, Winther R. A stable recurrence relation for trigonometric B-splines[J]. J. Approx. Theory, 1979, 25:266~279. 被引量:1

共引文献87

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部