Image analysis using new set of separable two-dimensional discrete orthogonal moments based on Racah polynomials

Imad Batioua, Rachid Benouini, Khalid Zenkouar, Hakim El Fadili
2017 EURASIP Journal on Image and Video Processing  
In this paper, we propose three new separable two-dimensional discrete orthogonal moments baptized: RTM (Racah-Tchebichef moments), RKM (Racah-Krawtchouk moments), and RdHM (Racah-dual Hahn moments). We present a comparative study between our proposed separable two-dimensional discrete orthogonal moments and the classical ones, in terms of gray-level image reconstruction accuracy, including noisy and noise-free conditions. Furthermore, in this study, the local feature extraction capabilities of
more » ... the proposed moments are described. Finally, a new set of RST (rotation, scaling, and translation) invariants, based on separable proposed moments, is introduced in this paper for the first time, and their description performances are highly tested as pattern features for image classification in comparison with the traditional moment invariants. The experimental results show that the new set of moments is potentially useful in the field of image analysis.
doi:10.1186/s13640-017-0172-7 fatcat:c57du4u56jdr5md2p2gqtkpude