On the Null-Space of the Shape-Color Moment Invariants

0508017 - ÚTIA 2020 RIV CH eng C - Konferenční příspěvek (zahraniční konf.)
Kostková, Jitka - Flusser, Jan
On the Null-Space of the Shape-Color Moment Invariants.
Computer Analysis of Images and Patterns : CAIP 2019 International Workshops, ViMaBi and DL-UAV, Salerno, Italy, September 6, 2019, Proceedings. Cham: Springer, 2019 - (Vento, M.; Percannella, G.; Colantonio, S.; Giorgi, D.; Matuszewski, B.; Kerdegari, H.; Razaak, M.), s. 402-408. Communications in Computer and Information Science, 1089. ISBN 978-3-030-29929-3.
[International Conference on Computer Analysis of Images and Patterns, CAIP 2019 /18./. Salerno (IT), 02.09.2019-06.09.2019]
Grant CEP: GA ČR GA18-07247S
Institucionální podpora: RVO:67985556
Klíčová slova: Color image recognition * Affine transformation * Channel mixing * Moment invariants * Null-space
Obor OECD: Computer hardware and architecture
http://library.utia.cas.cz/separaty/2019/ZOI/kostkova-0508017.pdf

In this paper, we extend the theory of the combined Shape-Color Affine Moment Invariants (SCAMIs) for recognition of color images, proposed originally by Gong et al. in [3]. Since in the real pictures the shape deformation is always accompanied by the color deformation, it is not sufficient to use the shape invariant or color invariant descriptors only and the use of combined invariants is needed. However, the SCAMIs are not able to recognize images, the color channels of which are linearly dependent or highly correlated. This situation is not rare in practice and is of particular importance in hyper-spectral image analysis, where the spectral bands are highly correlated. We analyze why the SCAMIs fail in such situations, correct the theory and propose a solution to overcome such drawback. Unlike the SCAMIs, the new invariants have in the null-space the constant-zero images only, which leads to a better discrimination power, as demonstrated also on various pictures.
Trvalý link: http://hdl.handle.net/11104/0299554