Algebraic and algorithmic aspects of radical parametrizations

Authors
Sendra Pons, Juan RafaelUniversity of Alcalá Author; Sevilla, David; Villarino Cabellos, CarlosUniversity of Alcalá Author
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/45759
DOI: 10.1016/j.cagd.2017.01.002
ISSN: 0167-8396
Publisher
Elsevier
Date
2017-07-17
Affiliation
Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas
Funders
Ministerio de Economía y Competitividad
Junta de Extremadura
Bibliographic citation
Sendra, J.R., Sevilla, D. & Villarino, C. 2017, "Algebraic and algorithmic aspects of radical parametrizations", Computer Aided Geometric Design, vol. 55, pp. 1-14.
Keywords
Radical parametrization
Tracing index
Reparametrization
Implicitization
Project
info:eu-repo/grantAgreement/MINECO//MTM2014-54141-P/ES/CONSTRUCCIONES ALGEBRO-GEOMETRICAS: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/
FQM024 (Junta de Extremadura)
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.1016/j.cagd.2017.01.002
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
© 2017 Elsevier
Access rights
info:eu-repo/semantics/openAccess
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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, 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.
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