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带有给定切线多边形的C^5连续三角样条曲线
引用本文:王成伟.带有给定切线多边形的C^5连续三角样条曲线[J].纺织高校基础科学学报,2008,21(1):84-87.
作者姓名:王成伟
作者单位:北京服装学院,基础课部,北京,100029
基金项目:北京市属市管高校人才强教计划
摘    要:描述了一种与给定多边形相切的三角样条曲线的算法.在算法中,所有的三角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2个算例.

关 键 词:CAGD  样条曲线  多边形
文章编号:1006-8341(2008)01-0084-04
修稿时间:2007年7月9日

C5 continuous trigonometric spline curve with given tangent polygon
WANG Cheng-wei.C5 continuous trigonometric spline curve with given tangent polygon[J].Basic Sciences Journal of Textile Universities,2008,21(1):84-87.
Authors:WANG Cheng-wei
Affiliation:WANG Cheng-wei(Department of Fundamental Courses, Beijing Institute of Clothing Technology, Beijing 100029 ,China)
Abstract:An algorithm for constructing trigonometric spline curve which is tangent to the given polygon is described.The control points of the trigonometric 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 trigonometric spline curve can be completed by simply adjusting the corresponding control parameters.Two examples are given finally.
Keywords:CAGD  spline curve  polygon
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