Radical parametrization of algebraic curves and surfaces

Authors
Sendra Pons, Juan RafaelUniversity of Alcalá Author; Sevilla, David
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/20521
ISBN: 9788461645657
Publisher
Universidad de Málaga
Date
2013
Affiliation
Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas
Funders
Ministerio de Economía y Competitividad
Austrian Science Fund (FWF)
Bibliographic citation
Proceedings of Applications in Computer Algebra, ACA, 2013, pp. 224-228
Keywords
Radical parametrization
Parametrization of curves
Parametrization of surfaces
Description / Notes
The first author is a member of the Research Group asynacs (Ref. ccee2011/r34).
Project
info:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/
P22766-N18
Document type
info:eu-repo/semantics/bookPart
Version
info:eu-repo/semantics/publishedVersion
Rights
Atribución-NoComercial-SinDerivadas 3.0 España
Access rights
info:eu-repo/semantics/openAccess
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Abstract
Parametrization of algebraic curves and surfaces is a fundamental topic in CAGD (intersections; offsets and conchoids; etc.) There are many results on rational parametrization, in particular in the curve case, but the class of such objects is relatively small. If we allow root extraction, the class of parametrizable objetcs is greatly enlarged (for example, elliptic curves can be parametrized with one square root). We will describe the basics and the state of the art of the problem of parametrization of curves and surfaces by radicals.
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