Some results on the surjectivity of surface parametrizations
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/29590DOI: 10.1007/978-3-319--15081-9_11
ISSN: 0943-853X
Publisher
Springer
Date
2015Funders
Ministerio de Ciencia e Innovación
Bibliographic citation
Computer Algebra and
Polynomials, 2015, vol. 8942, pp. 192-203
Keywords
Rational algebraic surface
Normality
Ruled surfaces
Base points
Project
info:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/publishedVersion
Publisher's version
http://dx.doi.org/10.1007/978-3-319--15081-9_11Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
(c) Springer, 2015
Access rights
info:eu-repo/semantics/openAccess
Abstract
This paper deals with the decision problem of the surjectivity of a rational surface parametrization. We give sufficient conditions for a parametrization to be surjective, and we describe different families of parametrizations that satisfy these criteria. In addition, we consider the problem of computing a superset of the points not covered by the parametrization. In this context, we report on the case of parametrizations without projective base points and we analyze the particular case of rational ruled surfaces.
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Some_Sendra_CAP_2015 (003).pdf | 448.7Kb |
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