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arXiv · 1306.4340

Detecting Similarity of Rational Plane Curves

Juan Gerardo Alcázar·Carlos Hermoso·Georg Muntingh
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Abstract

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.

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Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh. 2013-06-18. Detecting Similarity of Rational Plane Curves. https://doi.org/10.1016/j.cam.2014.03.013

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