A partial solution to the problem of proper reparametrization for rational surfaces
Authors
Pérez Díaz, SoniaIdentifiers
Permanent link (URI): http://hdl.handle.net/10017/49562DOI: 10.1016/j.cagd.2013.06.003
ISSN: 0167-8396
Publisher
Elsevier
Date
2013-11-01Bibliographic citation
Pérez Díaz, S. 2013, “A partial solution to the problem of proper reparametrization for rational surfaces”, Computer Aided Geometric Design, vol. 30, no. 8, pp. 743-759.
Keywords
Proper reparametrization
Rational surface
Degree of a rational map
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.1016/j.cagd.2013.06.003Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2013 Elsevier
Access rights
info:eu-repo/semantics/openAccess
Abstract
Given an algebraically closed field K, and a rational parametrization P of an algebraic surface V ⊂ K3 , we consider the problem of computing a proper rational parametrization Q from P (reparametrization problem). More precisely, we present an algorithm that computes a rational parametrization Q of V such that the degree of the rational map induced by Q is less than the degree induced by P. The properness of the output parametrization Q is analyzed. In particular, if the degree of the map induced by Q is one, then Q is proper and the reparametrization problem is solved. The algorithm works if at least one of two auxiliary parametrizations defined from P is not proper.
Files in this item
Files | Size | Format |
|
---|---|---|---|
A_partial_Perez_Comput_Aided_G ... | 432.4Kb |
|
Files | Size | Format |
|
---|---|---|---|
A_partial_Perez_Comput_Aided_G ... | 432.4Kb |
|
Collections
- MATEMATIC - Artículos [172]