0431156 20240903115304.620140912235959.9 000343107900011 84907682703 10.3390/sym6030722 36 s. P cav_un_epca*04307432073-899463 (2014)722-757MDPI rotation symmetry reflection symmetry 3D complex moments 3D rotation invariants cav_un_auth*0101203 Suk Tomáš Zpracování obrazové informace Department of Image Processing ZOI ZOI UTIA-B Department of Image Processing Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101087 Flusser Jan Zpracování obrazové informace Department of Image Processing ZOI ZOI UTIA-B Department of Image Processing Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2014/ZOI/suk-0431156.pdf GAP103/11/1552 GA ČR cav_un_auth*0273618 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. 2015 JD 2 4 A 4a 20231122140406.6 RVO:67985556 http://hdl.handle.net/11104/0236074 S MULTIDISCIPLINARYSCIENCES 0.472 0.425 Q2 8.43 53.509 Q4 Q3 2014 Soubory v repozitáři: suk-0431156.pdf 84907682703 SCOPUS 000343107900011 WOS cav_un_epca*0430743 Symmetry-Basel 2073-8994 2073-8994 Roč. 6 č. 3 2014 722 757 MDPI ONLINE