Efficient translation, rotation, and scale invariants of discrete Tchebichef moments

Pee, Chih-Yang and Ong, Seng-Huat and Raveendran, Paramesran (2021) Efficient translation, rotation, and scale invariants of discrete Tchebichef moments. IEEE Access, 9. pp. 163954-163964. ISSN 2169-3536, DOI https://doi.org/10.1109/ACCESS.2021.3133444.

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Translation rotation and scale invariants of Tchebichef moments are commonly used descriptors in image analysis. Existing invariant algorithms either indirectly compute from geometric moments or directly using Tchebichef moments. The former approach is relatively simple, but inefficient, especially when the system consists only of Tchebichef moments. Likewise, the latter approach is complicated, mainly because of the method used to formulate the invariant algorithm. Hence, in this paper, we introduce a new set of translation, rotation and scale Tchebichef moment invariants (TRSI) using moment normalization, which is much computationally efficient and accurate. This is achieved by formulating the recurrence relationship of the descriptors and successfully resolve uniqueness issues of principal axis normalization. Experimental studies show that the proposed method is computationally much faster and possesses higher discriminative power in classification when compared with present invariant algorithms. The main contribution of this paper is a novel fast computational algorithm that simplifies translation, rotation and scale invariant algorithms of Tchebichef moments and a novel normalization scheme that preserve invariants' orthogonality from the moment functions. The technique can be deployed to derive affine invariants of Tchebichef moments, and invariants for other orthogonal moments like Krawtchouk, Hahn, Racah moments etc.

Item Type: Article
Funders: Ministry of Higher Education through the Fundamental Research Grant Scheme (FRGS) (FRGS/1/2021/ICT06/MMU/03/2), Multimedia University (MMUI/180206) (MMUI/210001)
Uncontrolled Keywords: Licenses; Image resolution; Image analysis; Feature extraction; Character recognition; Watermarking; Shape; Discrete orthogonal moment; fast computation; image normalization; Tchebichef moment; translation rotation and scale invariant
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: Faculty of Engineering > Department of Electrical Engineering
Depositing User: Ms Zaharah Ramly
Date Deposited: 08 Apr 2022 06:38
Last Modified: 08 Apr 2022 06:38
URI: http://eprints.um.edu.my/id/eprint/26959

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