Computing symmetries of implicit algebraic surfaces
| dc.contributor.author | Alcázar, Juan Gerardo | |
| dc.contributor.author | Lávička, Miroslav | |
| dc.contributor.author | Vršek, Jan | |
| dc.date.accessioned | 2023-08-14T10:00:18Z | |
| dc.date.available | 2023-08-14T10:00:18Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract-translated | 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. | en |
| dc.format | ||
| dc.format | 18 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.identifier.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 | cs |
| dc.identifier.document-number | 1021154300001 | |
| dc.identifier.doi | 10.1016/j.cagd.2023.102221 | |
| dc.identifier.issn | 0167-8396 | |
| dc.identifier.obd | 43939910 | |
| dc.identifier.uri | 2-s2.0-85161659931 | |
| dc.identifier.uri | http://hdl.handle.net/11025/53858 | |
| dc.language.iso | ||
| dc.language.iso | en | en |
| dc.project.ID | GF21-08009K/Zobecněné symetrie a ekvivalence geometrických dat | cs |
| dc.publisher | Elsevier | en |
| dc.relation.ispartofseries | Computer Aided Geometric Design | en |
| dc.rights | Plný text je přístupný v rámci univerzity přihlášeným uživatelům | cs |
| dc.rights | © Elsevier | en |
| dc.rights.access | restrictedAccess | en |
| dc.subject.translated | algebraic surfaces | en |
| dc.subject.translated | symmetry detection | en |
| dc.subject.translated | vector fields | en |
| dc.subject.translated | homogeneous polynomials | en |
| dc.title | Computing symmetries of implicit algebraic surfaces | en |
| dc.type | preprint | cs |
| dc.type | preprint | en |
| dc.type.status | ||
| dc.type.version | draft | en |
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