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带有给定切线多边形的C5连续有理样条曲线
引用本文:王成伟.带有给定切线多边形的C5连续有理样条曲线[J].计算机应用与软件,2005,22(9):108-110.
作者姓名:王成伟
作者单位:北京服装学院基础课部,北京,100029
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。

关 键 词:CAGD样条曲线  多边形  有理样条曲线  切线多边形  多边形相切  局部修改  控制点  保形性  算法
收稿时间:2004-06-01
修稿时间:2004-06-01

C5 CONTINUOUS RATIONAL SPLINE CURVE WITH GIVEN TANGENT POLYGON
Wang Chengwei.C5 CONTINUOUS RATIONAL SPLINE CURVE WITH GIVEN TANGENT POLYGON[J].Computer Applications and Software,2005,22(9):108-110.
Authors:Wang Chengwei
Abstract: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.
Keywords:CAGD Spline curve Polygon
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