Detecting isometries and symmetries of implicit algebraic surfaces

Autor: Uğur Gözütok, Hüsnü Anıl Çoban
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 2, Pp 4294-4308 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024212?viewType=HTML
Popis: We presented a new and complete algorithm for detecting isometries and symmetries of implicit algebraic surfaces. First, our method reduced the problem to the case of isometries fixing the origin. Second, using tools from elimination theory and polynomial factoring, we determined the desired isometries between the surfaces. We have implemented the algorithm in Maple to provide evidences of the efficiency of the method.
Databáze: Directory of Open Access Journals