Detecting Similarity of Plane Rational Curves
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/20453DOI: 10.1016/j.cam.2014.03.013
ISSN: 0377-0427
Publisher
Elsevier
Date
2014Funders
Ministerio de Ciencia e Innovación
Bibliographic citation
Journal of Computational Applied Mathematics, 2014, v. 269, p. 1-13
Keywords
Rational planar curve
Similarity
Pattern recognition
Planar symmetry
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/submittedVersion
Publisher's version
http://dx.doi.org/10.1016/j.cam.2014.03.013Rights
© Elsevier, 2014
Access rights
info:eu-repo/semantics/openAccess
Abstract
A novel and deterministic algorithm is presented to detect whether two given planar rational curves are related by means of a similarity, which is a central question in Pattern Recognition. As a by-product it finds all such similarities, and the particular case of equal curves yields all symmetries. A complete theoretical description of the method is provided, and the method has been implemented and tested in the SAGE system.
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Similarity_UAH.pdf | 473.2Kb |
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