NURBS曲线保凸性质的几何证明

数学季刊 ›› 2006, Vol. 21 ›› Issue (1): 44-48.

NURBS曲线保凸性质的几何证明

Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China)

收稿日期:2003-11-27 出版日期:2006-03-30 发布日期:2023-12-19
作者简介:LIU Chao-yang(1964-),male,native of Xinye,Henan,a professor of Zhengzhou University, Ph.D.,engages in computer aided geometric design.
基金资助:
Supported by the National Natural Science Found of China(10371113)； Supported by the 2002 Henan Found of Younger Teacher；

A Geometric Proof of the Convexity Preserving Property of NURBS Curves

Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China)

Received:2003-11-27 Online:2006-03-30 Published:2023-12-19
About author:LIU Chao-yang(1964-),male,native of Xinye,Henan,a professor of Zhengzhou University, Ph.D.,engages in computer aided geometric design.
Supported by:
Supported by the National Natural Science Found of China(10371113)； Supported by the 2002 Henan Found of Younger Teacher；

摘要/Abstract

摘要： NURBS curves are convexity preserving, i.e. once the control polygon is convex, the associated NURBS curve will also be convex. In this paper this property is proved geometrically.

关键词: , convexity preserving, knot-insertion, Bezier curve, NURBS curve

Abstract: NURBS curves are convexity preserving, i.e. once the control polygon is convex, the associated NURBS curve will also be convex. In this paper this property is proved geometrically.

Key words: , convexity preserving, knot-insertion, Bezier curve, NURBS curve

中图分类号:

O186.11

柳朝阳. NURBS曲线保凸性质的几何证明[J]. 数学季刊, 2006, 21(1): 44-48.

LIU Chao-yang . A Geometric Proof of the Convexity Preserving Property of NURBS Curves[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(1): 44-48.

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