Symmetry Detection and Symmetrization in Cellular Automata

Vít Gregor; Ivana Kolingerová

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Paper

Symmetry Detection and Symmetrization in Cellular Automata

Topics: Fundamental Methods and Algorithms; Geometric Computing

In Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1 , HUCAPP and IVAPP: , 317-322, 2025 , Porto, Portugal

Authors: Vít Gregor and Ivana Kolingerová

Affiliation: Department of Computer Science, Faculty of Applied Sciences, University of West Bohemia, Technická 8, Plzeň, Czech Republic

Keyword(s): Symmetry, Cellular Automata, Symmetrization.

Abstract: Symmetry is the important property of many geometric objects. Our work analyzes the symmetry in two-dimensional objects created using the cellular automata in the context of the initial configurations and rules of the automata. Symmetry of basic geometric shapes, such as circles, rectangles, and curves, mapped into the cells of the automaton, is analyzed in this paper. Also, the symmetry of random objects is analyzed. This paper also describes the method for centroidal symmetry detection and axial symmetry detection in the cellular automata, and it also brings the approach of using the cellular automata for object symmetrization by comparing it with objects in the library of symmetrical objects.

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Paper citation in several formats:

Gregor, V. and Kolingerová, I. (2025). Symmetry Detection and Symmetrization in Cellular Automata. In Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - GRAPP; ISBN 978-989-758-728-3; ISSN 2184-4321, SciTePress, pages 317-322. DOI: 10.5220/0013250000003912

@conference{grapp25,
author={Vít Gregor and Ivana Kolingerová},
title={Symmetry Detection and Symmetrization in Cellular Automata},
booktitle={Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - GRAPP},
year={2025},
pages={317-322},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013250000003912},
isbn={978-989-758-728-3},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - GRAPP
TI - Symmetry Detection and Symmetrization in Cellular Automata
SN - 978-989-758-728-3
IS - 2184-4321
AU - Gregor, V.
AU - Kolingerová, I.
PY - 2025
SP - 317
EP - 322
DO - 10.5220/0013250000003912
PB - SciTePress