Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design
Peer reviewed, Journal article
Published version
Permanent lenke
https://hdl.handle.net/11250/3055757Utgivelsesdato
2022Metadata
Vis full innførselSamlinger
- Publikasjoner fra CRIStin - SINTEF AS [5674]
- SINTEF Digital [2415]
Originalversjon
Journal of Computational and Applied Mathematics. 2022, 411, 114206. 10.1016/j.cam.2022.114206Sammendrag
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.