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与给定多边形相切的G3连续有理样条闭曲线
引用本文:王成伟.与给定多边形相切的G3连续有理样条闭曲线[J].北京服装学院学报,2004,24(1):60-63.
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闭曲线的算法.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.最后给出了一个算例.

关 键 词:CAGD  有理样条  多边形
文章编号:1001-0564(2004)01-0060-04
修稿时间:2003年12月18日

G3 Continuous Rational Spline Closed Curve with Given Tangent Polygon
WANG Cheng-wei.G3 Continuous Rational Spline Closed Curve with Given Tangent Polygon[J].Journal of Beijing Institute of Clothing Technology(Nature Science Edition),2004,24(1):60-63.
Authors:WANG Cheng-wei
Affiliation:WANG Cheng-wei Department of Fundamental Courses of Beijing Institute of Clothing Technology,Beijing 100029,China
Abstract:An algorithm for constructing rational spline closed curve which is tangent to the given polygon is described. The control points of the rational spline to be constructed are computed sim- ply by the vertices of the given polygon. The constructed curve is shape-preserving to the poly- gon. The local modification to the rational spline curve can be completed by simply adjusting the corresponding control parameters. One example is given.
Keywords:CAGD  rational spline  polygon
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