| Title: | Computing symmetries of implicit algebraic surfaces |
| Authors: | Alcázar, Juan Gerardo Lávička, Miroslav Vršek, Jan |
| Citation: | ALCÁZAR, JG. LÁVIČKA, M. VRŠEK, J. Computing symmetries of implicit algebraic surfaces. COMPUTER AIDED GEOMETRIC DESIGN, 2023, roč. 104, č. July 2023, s. Article Number102221. ISSN: 0167-8396 |
| Issue Date: | 2023 |
| Publisher: | Elsevier |
| Document type: | preprint preprint |
| URI: | 2-s2.0-85161659931 http://hdl.handle.net/11025/53858 |
| ISSN: | 0167-8396 |
| Keywords in different language: | algebraic surfaces;symmetry detection;vector fields;homogeneous polynomials |
| Abstract in different language: | We present a complete algorithm to compute the rotational, axial, reflectional and central symmetries of an algebraic surface defined by means of its implicit equation. The algorithms rely on the fact that the symmetries of the surface satisfy an algebraic condition verified by the polynomial defining the surface, and use a variety of ideas, some of them extensions to space of ideas already used to compute the symmetries of planar implicit curves, and some of them new. We flesh out our algorithms with several examples. |
| Rights: | Plný text je přístupný v rámci univerzity přihlášeným uživatelům © Elsevier |
| Appears in Collections: | Preprinty / Preprints (NTIS) Preprinty / Preprints (KMA) OBD |
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