Fast and efficient computation of three-dimensional Hahn moments

Abderrahim Mesbah; Aissam Berrahou; Mostafa El Mallahi; Hassan Qjidaa

doi:10.1117/1.JEI.25.6.061621

15 December 2016 Fast and efficient computation of three-dimensional Hahn moments

Abderrahim Mesbah, Aissam Berrahou, Mostafa El Mallahi, Hassan Qjidaa

Author Affiliations +

Journal of Electronic Imaging, Vol. 25, Issue 6, 061621 (December 2016). https://doi.org/10.1117/1.JEI.25.6.061621

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.

Citation Download Citation

Abderrahim Mesbah, Aissam Berrahou, Mostafa El Mallahi, and Hassan Qjidaa "Fast and efficient computation of three-dimensional Hahn moments," Journal of Electronic Imaging 25(6), 061621 (15 December 2016). https://doi.org/10.1117/1.JEI.25.6.061621

Published: 15 December 2016

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available