Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 269, Issue -, Pages 1-13Publisher
ELSEVIER
DOI: 10.1016/j.cam.2014.03.013
Keywords
Similarity of planar algebraic curves; Similarity detection; Pattern Recognition; Rational planar curves
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Funding
- Spanish Ministerio de Ciencia e Innovacion [MTM2011-25816-C02-01]
- Jose Castillejos' grant from the Spanish Ministerio de Educacion, Cultura y Deporte [CAS12/00022R]
- Giner de los Rios grant from the Universidad de Alcala
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A novel and deterministic algorithm is presented to detect whether two given rational plane 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 for curves of moderate degrees. (C) 2014 Elsevier B.V. All rights reserved.
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