On the positivity and convexity of polynomials

被引：0
|
作者：
Zheng, JJ [1 ]
Chen, XQ [1 ]
Zhang, JJ [1 ]
机构：
[1] Bournemouth Univ, Natl Ctr Comp Animat, Poole BH12 5BB, Dorset, England
来源：
CAD/GRAPHICS '2001: PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON COMPUTER AIDED DESIGN AND COMPUTER GRAPHICS, VOLS 1 AND 2 | 2001年
关键词：
standard sequence; greatest common divisor; positivity; convexity; Bernstein-Polynomials;
D O I：
暂无
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The convexity of curves surfaces is an important property in field of Computer Aided Geometric Design (CAGD). In the literature, there are many results discussing this topic. This paper gives a necessary and sufficient condition for the positivity and convexity of polynomials of arbitrary degree. A practical algorithm to express this condition in terms of the coefficients of the polynomials is given.
引用
收藏
页码：82 / 88
页数：7
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