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有理Bézier曲线的几何约束修改

Modification to the shape of rational Bézier curve with geometric constraint
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摘要 有理 Bézier曲线是 CAGD和计算机图形学中常用的参数曲线。研究了有理 Bézier曲线的几何约束修改。给出了基于控制顶点和基于权因子的约束优化方法 。 Rational Bézier curve is one kind of the most commonly parametric curves in CAGD and Computer Graphics. This paper investigates the modification to the shape of rational Bézier curves with geometric constraint. A new method of constrained optimization is presented in this paper based on changing the control points of the curves or changing the weights. Finally numerical examples are also given.
作者 赵前进
出处 《淮南工业学院学报》 2002年第1期56-58,77,共4页 Journal of Huainan Institute of Technology(Natural Science)
基金 淮南工业学院青年科研基金资助
关键词 有理BEZIER曲线 几何约束修改 外形修改 约束优化 控制顶点 权因子 计算机图形学 shape modification rational Bézier curve constrained optimization the control points the weights
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参考文献3

  • 1Sanchez - Reyes J.A simple technique for NURBS shape modification[].IEEE Computer Graphics and Applications.1997
  • 2Fowler B. and Bartels R.Constrained -based curve manipulation[].IEEE Computer Graphics and Applications.1993
  • 3An C. K. and Yuen M. F.Unified approach to NURBS curve shape modification[].Computer Aided Design.1995

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