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Detecting similarity of rational plane curves

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.

Category

Academic article

Client

  • Research Council of Norway (RCN) / 222335

Language

English

Author(s)

Affiliation

  • University of Alcalá
  • University of Oslo
  • SINTEF Digital / Mathematics and Cybernetics

Year

2014

Published in

Journal of Computational and Applied Mathematics

ISSN

0377-0427

Volume

269

Page(s)

1 - 13

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