期刊文献+

保形五次插值参数样条曲线 被引量:1

SHAPE PRESERVING INTERPOLATION BY QUINTIC PARAMETRIC CURVE
原文传递
导出
摘要 Given a set of ordered data points Pi (i = 0,1, ... , n), this paper constructs a class of parametric spline curve which interpolates all points Pi and have C2-continuity. A shape preserving interpolating spline curve can be obtained by adjusting parameters ai. Finally, some examples illustrate that the curve is efficient for curve design. Given a set of ordered data points Pi (i = 0,1, ... , n), this paper constructs a class of parametric spline curve which interpolates all points Pi and have C2-continuity. A shape preserving interpolating spline curve can be obtained by adjusting parameters ai. Finally, some examples illustrate that the curve is efficient for curve design.
作者 方逵 孙星明
出处 《数值计算与计算机应用》 CSCD 北大核心 2002年第1期24-30,共7页 Journal on Numerical Methods and Computer Applications
基金 省教育厅青年基金资助.
关键词 参数曲线 保形插值 曲线设计 插值方法 分段插值 五次Bezier曲线段 parametric spline, interpolating curve, shape preserving interpolation
  • 相关文献

参考文献2

二级参考文献1

共引文献16

同被引文献5

  • 1de Boor, C., K. Ho11ig, & M.Sabin(1987), High Accuracy Geometric Hermit Interpolation. CAGD,4, 268-278.
  • 2Degen, W.L.F.(1995), High Accuracy Approximation of Parametric Curves, in MathematicalMethods for Curves and Surfaces, Dehlen, T. Lyche, and L. Schumaker (eds.), VanderbiltUniversity Press, Nashville & London.
  • 3Liu, C., Theory and Application of Convex Curves and Surfaces in CAGD, Ph.D. Thesis,University of Twente, (2001).
  • 4Liu, C. and C.R.Traas, On Convexity of Planar Curves and Its Application in CAGD.CAGD,14:7 (1997) 653-670.
  • 5刘鼎元.平面Bézier曲线的凸性定理[J].数学年刊:A辑,1(1980):45-55.

引证文献1

二级引证文献1

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