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Recognition of Symmetric 3D Bodies
- 1.0431156 - ÚTIA 2015 RIV CH eng J - Journal Article
Suk, Tomáš - Flusser, Jan
Recognition of Symmetric 3D Bodies.
Symmetry-Basel. Roč. 6, č. 3 (2014), s. 722-757. E-ISSN 2073-8994
R&D Projects: GA ČR GAP103/11/1552
Institutional support: RVO:67985556
Keywords : rotation symmetry * reflection symmetry * 3D complex moments * 3D rotation invariants
Subject RIV: JD - Computer Applications, Robotics
Impact factor: 0.826, year: 2014
http://library.utia.cas.cz/separaty/2014/ZOI/suk-0431156.pdf
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.
Permanent Link: http://hdl.handle.net/11104/0236074
Number of the records: 1