带有给定切线多边形的C-Bézier闭曲线和B-型样条闭曲线  

CLOSED C-BEZIER CURVE AND B-TYPE SPLINE CURVE WITH GIVEN TANGENT POLYGON

作　　者：王成伟[1] 

机构地区：[1]北京服装学院基础课部,北京100029

出　　处：《数值计算与计算机应用》2002年第4期303-309,共7页Journal on Numerical Methods and Computer Applications

摘　　要：This paper proposes an algorithm of constructing planar piecewise C-Bezier curve with all edges tangent to a given control polygon and another algorithm of B-type spline curve with all edges tangent to a given control polygon is discribed.The segmented C-Bezier curve and B-type spline curve are shape-preserving to their tangent polygon.The all control points of the C-Bezier curve segments and B-type spline curve segments can be calculated simply by the vertices of the given tangent polygon.Finally,two nnumerical examples are given.This paper proposes an algorithm of constructing planar piecewise C-Bezier curve with all edges tangent to a given control polygon and another algorithm of B-type spline curve with all edges tangent to a given control polygon is discribed. The segmented C-Bezier curve and B-type spline curve are shape-preserving to their tangent polygon. The all control points of the C-Bezier curve segments and B-type spline curve segments can be calculated simply by the vertices of the given tangent polygon. Finally, two nnumerical examples are given.

关 键 词：切线多边形 C-Bezier闭曲线 B-型样条闭曲线 

分 类 号：O241.5[理学—计算数学]