Special Section on Perceptually Driven Visual Information Analysis

Fast and efficient computation of three-dimensional Hahn moments

[+] Author Affiliations
Abderrahim Mesbah, Mostafa El Mallahi, Hassan Qjidaa

Sidi Mohamed Ben Abdellah University, Faculty of Sciences Dhar El-Mahraz, BP 1796 Fez-Atlas, Fez 30003, Morocco

Aissam Berrahou

Mohammed V University, National School of Computer Science and System Analysis, Street Mohammed Ben Abdallah Regragui BP 713, Agdal, Rabat 10000, Morocco

J. Electron. Imaging. 25(6), 061621 (Dec 15, 2016). doi:10.1117/1.JEI.25.6.061621
History: Received May 2, 2016; Accepted November 17, 2016
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Abstract.  We propose an algorithm for fast computation of three-dimensional (3-D) Hahn moments. First, the symmetry property of Hahn polynomials is provided to decrease the computational complexity at 12%. Second, 3-D Hahn moments are computed by using an algorithm based on matrix multiplication. The proposed algorithm enormously reduces the computational complexity of a 3-D Hahn moment and its inverse moment transform. It can be also implemented easily for high order of moments. The performance of the proposed algorithm is proved through object reconstruction experiments. The experimental results and complexity analysis show that the proposed method outperforms the straightforward method, especially for large size noise-free and noisy 3-D objects.

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Citation

Abderrahim Mesbah ; Aissam Berrahou ; Mostafa El Mallahi and Hassan Qjidaa
"Fast and efficient computation of three-dimensional Hahn moments", J. Electron. Imaging. 25(6), 061621 (Dec 15, 2016). ; http://dx.doi.org/10.1117/1.JEI.25.6.061621


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