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....
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/20453 |
| Acceso en línea: | http://hdl.handle.net/10017/20453 https://dx.doi.org/10.1016/j.cam.2014.03.013 |
| Access Level: | acceso abierto |
| Palabra clave: | Rational planar curve Similarity Pattern recognition Planar symmetry Ciencia Matemáticas Science Mathematics |
| Sumario: | 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 implemented and tested in the SAGE system. |
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