Finding the Shear Reflection Symmetry Plane in a 3D Point Cloud

Vítek Poór, Ivana Kolingerová, Damjan Strnad

2025

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.

Paper Citation

in Harvard Style

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 - Volume 1: GRAPP; ISBN 978-989-758-728-3, SciTePress, pages 203-210. DOI: 10.5220/0013120400003912

in Bibtex Style

@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 - Volume 1: GRAPP},
year={2025},
pages={203-210},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013120400003912},
isbn={978-989-758-728-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP
TI - Finding the Shear Reflection Symmetry Plane in a 3D Point Cloud
SN - 978-989-758-728-3
AU - Poór V.
AU - Kolingerová I.
AU - Strnad D.
PY - 2025
SP - 203
EP - 210
DO - 10.5220/0013120400003912
PB - SciTePress