Detecting similarity of rational plane curves

• Autores: Juan Gerardo Alcázar Arribas, Carlos Hermoso Ortíz, Georg Muntingh
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 269, Nº 1, 2014, págs. 1-13
• Idioma: inglés
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• Resumen

  • 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.