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Recognition of Symmetric 3D Bodies
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SYSNO ASEP 0431156 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Recognition of Symmetric 3D Bodies Author(s) Suk, Tomáš (UTIA-B) RID, ORCID
Flusser, Jan (UTIA-B) RID, ORCIDNumber of authors 2 Source Title Symmetry-Basel. - : MDPI
Roč. 6, č. 3 (2014), s. 722-757Number of pages 36 s. Publication form Print - P Language eng - English Country CH - Switzerland Keywords rotation symmetry ; reflection symmetry ; 3D complex moments ; 3D rotation invariants Subject RIV JD - Computer Applications, Robotics R&D Projects GAP103/11/1552 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000343107900011 EID SCOPUS 84907682703 DOI 10.3390/sym6030722 Annotation The paper deals with the recognition of symmetric three-dimensional (3D) bodies that can be rotated and translated. We provide a complete list of all existing combinations of rotation and reflection symmetries in 3D. We define 3D complex moments by means of spherical harmonics, and the influence of individual symmetry groups on complex moment values is studied. Each particular symmetry pre-defines certain moment values. These moments can no longer differentiate between two objects of the same symmetry, which decreases the recognition power of the feature set. They should not be included when constructing the invariants. Translation and rotation invariants up to the fourth order are presented and their performance is studied on both artificial and real data. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2015
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