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Paper detail

Detecting Similarity of Rational Plane Curves

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.

preprint2013arXivOpen access
Juan Gerardo AlcázarCarlos HermosoGeorg Muntingh
math.AGSymbolic ComputationComputational Geometry
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Juan Gerardo AlcázarCarlos HermosoGeorg Muntingh

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