Characterization of rational ruled surfaces
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/49546DOI: 10.1016/j.jsc.2013.11.003
ISSN: 0747-7171
Publisher
Elsevier
Date
2014-05-01Bibliographic citation
Shen, Li-Yong & Pérez Díaz, S. 2014, “Characterization of rational rules surfaces”, Journal of Symbolic Computation, vol. 63, pp. 21-45.
Keywords
Ruled surface
Parametrization
Reparametrization
Birational transformation
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.1016/j.jsc.2013.11.003Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2013 Elsevier
Access rights
info:eu-repo/semantics/openAccess
Abstract
The algebraic ruled surface is a typical modeling surface in computer aided geometric design. In this paper, we present algorithms to determine whether a given implicit or parametric algebraic surface is a rational ruled surface, and in the affirmative case, to compute a standard parametric representation for the surface.
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