Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/58552DOI: 10.1016/j.cam.2022.114206
ISSN: 0377-0427
Publisher
Elsevier
Date
2022-09Funders
Agencia Estatal de Investigación
European Commission
Bibliographic citation
Alcázar Arribas, J.G. & Muntingh, G. 2022, "Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design", Journal of Computational and Applied Mathematics, vol. 411, art. no. 114206, pp. 1-15.
Keywords
Affine equivalences
Translational surfaces
Minimal surfaces
Rational surfaces
Project
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113192GB-I00/ES/VISUALIZACION MATEMATICA: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/
info:eu-repo/grantAgreement/EC/H2020/951956/EU/Create and Harvest Offerings to support Manufacturing SMEs to become Digital Twin Champions/Change2Twin
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/publishedVersion
Publisher's version
https://doi.org/10.1016/j.cam.2022.114206Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Access rights
info:eu-repo/semantics/openAccess
Abstract
We introduce a characterization for affine equivalence of two surfaces of translation defined by either rational or meromorphic generators. In turn, this induces a similar characterization for minimal surfaces. In the rational case, our results provide algorithms for detecting affine equivalence of these surfaces, and therefore, in particular, the symmetries of a surface of translation or a minimal surface of the considered types. Additionally, we apply our results to designing surfaces of translation and minimal surfaces with symmetries, and to computing the symmetries of the higher-order Enneper surfaces.
Files in this item
Files | Size | Format |
|
---|---|---|---|
Affine_Alcazar_J_Comput_Appl_M ... | 1.182Mb |
|
Files | Size | Format |
|
---|---|---|---|
Affine_Alcazar_J_Comput_Appl_M ... | 1.182Mb |
|
Collections
Related items
Showing items related by title, author, creator and subject.
-
Covering rational surfaces with rational parametrization images
Caravantes Tortajada, Jorge; Sendra Pons, Juan Rafael; Sevilla, David; Villarino Cabellos, Carlos (2021-02-08) -
Determination and (re)parametrization of rational developable surfaces
Shen, Li-Yong; Pérez Díaz, Sonia (2015-05-27) -
Computing the μ-bases of algebraic monoid curves and surfaces
Pérez Díaz, Sonia; Shen, Li-Yong (2021-04-24)