Detecting similarity of rational plane curves
نویسندگان
چکیده
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.
منابع مشابه
Detecting Similarity of Plane Rational Curves
A novel and deterministic algorithm is presented to detect whether two given planar rational 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 implemente...
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ورودعنوان ژورنال:
- J. Computational Applied Mathematics
دوره 269 شماره
صفحات -
تاریخ انتشار 2014