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

页码：82 / 88

页数：7

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