Moving Curve Ideals of Rational Plane Parametrizations

被引：1
|
作者：
D'Andrea, Carlos [1 ]
机构：
[1] Univ Barcelona, Fac Matemat, Gran Via 585, E-08007 Barcelona, Spain
来源：
COMPUTER ALGEBRA AND POLYNOMIALS: APPLICATIONS OF ALGEBRA AND NUMBER THEORY | 2015年 / 8942卷
关键词：
REES ALGEBRA; MINIMAL GENERATORS; DEFINING EQUATIONS; IMPLICITIZATION; SURFACES; LINE;
D O I：
10.1007/978-3-319-15081-9_2
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the nineties, several methods for dealing in a more efficient way with the implicitization of rational parametrizations were explored in the Computer Aided Geometric Design Community. The analysis of the validity of these techniques has been a fruitful ground for Commutative Algebraists and Algebraic Geometers, and several results have been obtained so far. Yet, a lot of research is still being done currently around this topic. In this note we present these methods, show their mathematical formulation, and survey current results and open questions.
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页码：30 / 49
页数：20
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