Algebraic and algorithmic aspects of radical parametrizations

Autor: Sendra, J. Rafael, Sevilla, David, Villarino, Carlos
Rok vydání: 2016
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1016/j.cagd.2017.01.002
Popis: In this article algebraic constructions are introduced in order to study the variety defined by a radical parametrization (a tuple of functions involving complex numbers, $n$ variables, the four field operations and radical extractions). We provide algorithms to implicitize radical parametrizations and to check whether a radical parametrization can be reparametrized into a rational parametrization.
Comment: 26 pages; revised version accepted for publication in Computer Aided Geometric Design
Databáze: arXiv