Detecting similarity of rational plane curves
Journal article, Peer reviewed
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Original versionJournal of Computational and Applied Mathematics. 2014, 269 1-13. 10.1016/j.cam.2014.03.013
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.