Symmetry group detection of point clouds in 3D via a decomposition method
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F24%3A43972499" target="_blank" >RIV/49777513:23520/24:43972499 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0167839624001109" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0167839624001109</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cagd.2024.102376" target="_blank" >10.1016/j.cagd.2024.102376</a>
Alternative languages
Result language
angličtina
Original language name
Symmetry group detection of point clouds in 3D via a decomposition method
Original language description
Analyzing the symmetries present in point clouds, which represent sets of 3D coordinates, is important for understanding their underlying structure and facilitating various applications. In this paper, we propose a novel decomposition-based method for detecting the entire symmetry group of 3D point clouds. Our approach decomposes the point cloud into simpler shapes whose symmetry groups are easier to find. The exact symmetry group of the original point cloud is then derived from the symmetries of these individual components. The method presented in this paper is a direct extension of the approach recently formulated in Bizzarri et al. (2022a) for discrete curves in plane. The method can be easily modified also for perturbed data. This work contributes to the advancement of symmetry analysis in point clouds, providing a foundation for further research and enhancing applications in computer vision, robotics, and augmented reality.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GF21-08009K" target="_blank" >GF21-08009K: Generalized Symmetries and Equivalences of Geometric Data</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computer Aided Geometric Design
ISSN
0167-8396
e-ISSN
1879-2332
Volume of the periodical
113
Issue of the periodical within the volume
September 2024
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
15
Pages from-to
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UT code for WoS article
001283390500001
EID of the result in the Scopus database
2-s2.0-85199430112