The problem of detecting when two implicit plane algebraic curves are similar-Reference-Cited by-同舟云学术

The problem of detecting when two implicit plane algebraic curves are similar

Published:2019-07-08 Issue:05 Volume:29 Page:775-793
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Alcázar Juan Gerardo¹,Díaz-Toca Gema M.²,Hermoso Carlos¹

Affiliation:

1. Departamento de Física y Matemáticas, Universidad de Alcalá E-28871 Madrid, Spain

2. Departamento de Ingeniería y Tecnología de Computadores, Universidad de Murcia E-30100 Murcia, Spain

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. The algorithm has been implemented in the computer algebra system Maple 2016. The implementation can be freely downloaded from the webpage of one of the authors. Examples and evidence of the good practical performance of the algorithm are given.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196719500279

Reference24 articles.

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