Affine Invariants of Vector Fields

0518086 - ÚTIA 2022 RIV US eng J - Článek v odborném periodiku
Kostková, Jitka - Suk, Tomáš - Flusser, Jan
Affine Invariants of Vector Fields.
IEEE Transactions on Pattern Analysis and Machine Intelligence. Roč. 43, č. 4 (2021), s. 1140-1155. ISSN 0162-8828. E-ISSN 1939-3539
Grant CEP: GA ČR GA18-07247S
Institucionální podpora: RVO:67985556
Klíčová slova: Vector field * total affine transformation * affine invariants
Obor OECD: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Impakt faktor: 24.314, rok: 2021
Způsob publikování: Omezený přístup
http://library.utia.cas.cz/separaty/2019/ZOI/kostkova-0518086.pdf https://ieeexplore.ieee.org/abstract/document/8892626

Vector fields are a special kind of multidimensional data, which are in a certain sense similar to digital color images, but are distinct from them in several aspects. In each pixel, the field is assigned to a vector that shows the direction and the magnitude of the quantity, which has been measured. To detect the patterns of interest in the field, special matching methods must be developed. In this paper, we propose a method for the description and matching of vector field patterns under an unknown affine transformation of the field. Unlike digital images, transformations of vector fields act not only on the spatial coordinates but also on the field values, which makes the detection different from the image case. To measure the similarity between the template and the field patch, we propose original invariants with respect to total affine transformation. They are designed from the vector field moments. It is demonstrated by experiments on real data from fluid mechanics that they perform significantly better than potential competitors.
Trvalý link: http://hdl.handle.net/11104/0303983