On the Problem of Detecting When Two Implicit Plane Algebraic Curves Are Similar
Algebraic Geometry
2015-05-25 v1
Abstract
We make use of the complex implicit representation in order to provide a deterministic algorithm for checking whether or not two implicit algebraic curves are related by a similarity, a central question in Pattern Recognition and Computer Vision. The algorithm has been implemented in the computer algebra system Maple 2015. Examples and evidence of the good practical performance of the algorithm are given.
Keywords
Cite
@article{arxiv.1505.06095,
title = {On the Problem of Detecting When Two Implicit Plane Algebraic Curves Are Similar},
author = {Juan Gerardo Alcázar and Gema M. Diaz-Toca and Carlos Hermosa},
journal= {arXiv preprint arXiv:1505.06095},
year = {2015}
}