paper

Algebraic and algorithmic aspects of radical parametrizations

arXiv:1609.09760 · doi:10.1016/j.cagd.2017.01.002

Abstract

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, 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.

26 pages; revised version accepted for publication in Computer Aided Geometric Design

References in corpus (1)

Algebraic and algorithmic aspects of radical parametrizations · wovepaper