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带有给定切线多边形的C-Bézier闭曲线和B-型样条闭曲线 被引量:16

CLOSED C-BEZIER CURVE AND B-TYPE SPLINE CURVE WITH GIVEN TANGENT POLYGON
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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.
作者 王成伟
出处 《数值计算与计算机应用》 CSCD 北大核心 2002年第4期303-309,共7页 Journal on Numerical Methods and Computer Applications
关键词 切线多边形 C-Bezier闭曲线 B-型样条闭曲线 C-Bezier curve,B-type spline curve,tangent polygon,shape-preserving
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