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Detecting Similarity of Rational Plane Curves
Published 18 Jun 2013 in math.AG, cs.CG, and cs.SC | (1306.4340v2)
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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