2013/08/30 by Carlos D'Andrea, Carlos D’Andrea, D'Andrea, Carlos
Computer Science · Engineering · Mathematics · #13A30 #14H50 #68W30 #Advanced Numerical Analysis Techniques #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #msc:13A30 #msc:14H50 #msc:68W30
paper · pdf · doi:10.48550/arxiv.1308.6790
16 pages, 8 figures. Revised version of a survey to appear in the LNCS proceedings of the workshop "Computer Algebra and Polynomials" (Linz, November 2013)
openalex publication_date 2013/08/30 · arxiv created 2014/01/24 · arxiv updated 2014/01/27 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
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.