On the problem of proper reparametrization for rational curves and surfaces
Authors
Pérez Díaz, SoniaIdentifiers
Permanent link (URI): http://hdl.handle.net/10017/49538DOI: 10.1016/j.cagd.2006.01.001
ISSN: 0167-8396
Publisher
Elsevier
Date
2006-05Bibliographic citation
Pérez Díaz, S. 2006, “On the problem of proper reparametrization for rational curves and surfaces”, Computer Aided Geometric Design, vol. 23, no. 4, pp. 307-323.
Keywords
Proper reparametrization
Rational curve
Rational surface
Project
DGES PB98-0713-C02-01
DGES HU1999-0029
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.1016/j.cagd.2006.01.001Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2006 Elsevier
Access rights
info:eu-repo/semantics/openAccess
Abstract
A rational parametrization of an algebraic curve (resp. surface) establishes a rational correspondence of this curve (resp. surface) with the affine or projective line (resp. affine or projective plane). This correspondence is a birational equivalence if the parametrization is proper. So, intuitively speaking, a rational proper parametrization trace the curve or surface once. We consider the problem of computing a proper rational parametrization from a given improper one. For the case of curves we generalize, improve and reinterpret some previous results. For surfaces, we solve the problem for some special surface's parametrizations.
Files in this item
Files | Size | Format |
|
---|---|---|---|
On_the_problem_Perez_Comput_Ad ... | 475.6Kb |
|
Files | Size | Format |
|
---|---|---|---|
On_the_problem_Perez_Comput_Ad ... | 475.6Kb |
|
Collections
- MATEMATIC - Artículos [172]