Fast Approximate Symmetry Plane Computation as a Density Peak of Candidates

Alex König; Libor Váša

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Paper

Fast Approximate Symmetry Plane Computation as a Density Peak of Candidates

Topics: Fundamental Methods and Algorithms; Geometric Computing; Mesh Processing

In Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1 , HUCAPP and IVAPP: , 185-192, 2025 , Porto, Portugal

Authors: Alex König and Libor Váša

Affiliation: Dept. of Computer Science and Engineering, University of West Bohemia, Pilsen, Czech Republic

Keyword(s): Symmetry Detection, Reflection Symmetry, Symmetry Plane, Density Peak Computation.

Abstract: Symmetry is a common characteristic exhibited by both natural and man-made objects. This property can be used in various applications in computer vision and computer graphics. There are various types of symmetries, amongst the most prominent belong reflection symmetries and rotation symmetries. In this paper, a method focusing on the fast detection of approximate reflection symmetry of a 3D point cloud with respect to a plane is proposed. The method is based on the creation of a set of candidates that are represented as rigid transformations, and have assigned weights, reflecting the estimated quality of the candidate. The final symmetry plane corresponds to a density peak in the transformation space. The method is demonstrated to be able to find symmetry planes in various objects in 3D, with its main benefit being the speed of the computation.

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Paper citation in several formats:

König, A. and Váša, L. (2025). Fast Approximate Symmetry Plane Computation as a Density Peak of Candidates. 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 185-192. DOI: 10.5220/0013119200003912

@conference{grapp25,
author={Alex König and Libor Váša},
title={Fast Approximate Symmetry Plane Computation as a Density Peak of Candidates},
booktitle={Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - GRAPP},
year={2025},
pages={185-192},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013119200003912},
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 - Fast Approximate Symmetry Plane Computation as a Density Peak of Candidates
SN - 978-989-758-728-3
IS - 2184-4321
AU - König, A.
AU - Váša, L.
PY - 2025
SP - 185
EP - 192
DO - 10.5220/0013119200003912
PB - SciTePress