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Fast and low-complexity method for exact computation of 3D Legendre moments
Faculty
Computer Science
Year:
2011
Type of Publication:
Article
Pages:
1305-1314
Authors:
Hosny, Khalid M
DOI:
10.1016/j.patrec.2011.03.011
Journal:
PATTERN RECOGNITION LETTERS ELSEVIER SCIENCE BV
Volume:
32
Research Area:
Computer Science
ISSN
ISI:000291771100009
Keywords :
3D Legendre moments, Symmetry property, Exact computation, Fast algorithm, Translation invariance, Scale invariance
Abstract:
A new method is proposed for fast and low-complexity computation of exact 3D Legendre moments. The proposed method consists of three main steps. In the first step, the symmetry property is employed where the computational complexity is reduced by 87\%. In the second step, exact values of 3D Legendre moments are obtained by mathematically integrating the Legendre polynomials over digital image voxels. An algorithm is employed to significantly accelerate the computational process. In this algorithm, the equations of 3D Legendre moments are treated in a separated form. The proposed method is applied to determine translation-scale invariance of 3D Legendre moments in a very simple way. Numerical experiments are performed where the results are compared with those of the existing methods. Complexity analysis and results of the numerical experiments clearly ensure the efficiency of the proposed method. (C) 2011 Elsevier B.V. All rights reserved.
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