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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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  • 1邬弘毅.C^3-连续的4-5-5-4次交错B-型参数样条曲线[J].安徽工学院学报,1997,16(2):1-7. 被引量:2
  • 2苏步青,计算几何,1981年
  • 3方逵,计算数学,1996年,18卷,295页
  • 4齐从谦,计算数学,1996年,18卷,383页
  • 5邬弘毅,应用数学学报,1995年,18卷,18期,302页
  • 6熊振翔,插值多项式与插值样条,1995年
  • 7常庚哲,曲线的数学,1995年
  • 8施法中,计算机辅助几何设计与非均匀有理B样条,1994年
  • 9叶正麟,应用数学学报,1990年,13卷,13期,56页
  • 10Bien Aiping,J Approx Theory,1987年,51卷,138页

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