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Authors: Vítek Poór 1 ; Ivana Kolingerová 1 and Damjan Strnad 2

Affiliations: 1 Department of Computer Science and Engineering, University of West Bohemia, Technická 8, 306 14 Plzeň, Czech Republic ; 2 Department of Computer Science, Faculty of Electrical Engineering and Computer Science, University of Maribor, Koroška cesta 46, 2000 Maribor, Slovenia

Keyword(s): Symmetry, Reflection, Shearing, Computer Graphics.

Abstract: Many objects, namely man-made ones, show signs of various types of symmetry. The most common type perceived by humans is reflection symmetry to some plane. When detecting the symmetry for geometric models, the existing algorithms look for orthogonal reflection symmetry. However, the models can be sheared, therefore, algorithms detecting shear reflection symmetry would be useful. In this paper, we propose an algorithm for detecting the plane of shear reflection symmetry in a 3D point cloud on condition that the shear was done in one of the coordinate axes.

CC BY-NC-ND 4.0

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Paper citation in several formats:
Poór, V., Kolingerová, I. and Strnad, D. (2025). Finding the Shear Reflection Symmetry Plane in a 3D Point Cloud. 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 203-210. DOI: 10.5220/0013120400003912

@conference{grapp25,
author={Vítek Poór and Ivana Kolingerová and Damjan Strnad},
title={Finding the Shear Reflection Symmetry Plane in a 3D Point Cloud},
booktitle={Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - GRAPP},
year={2025},
pages={203-210},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013120400003912},
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 - Finding the Shear Reflection Symmetry Plane in a 3D Point Cloud
SN - 978-989-758-728-3
IS - 2184-4321
AU - Poór, V.
AU - Kolingerová, I.
AU - Strnad, D.
PY - 2025
SP - 203
EP - 210
DO - 10.5220/0013120400003912
PB - SciTePress