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Image representation using accurate orthogonal Gegenbauer moments
Faculty
Computer Science
Year:
2011
Type of Publication:
Article
Pages:
795-804
Authors:
Hosny, Khalid M
DOI:
10.1016/j.patrec.2011.01.006
Journal:
PATTERN RECOGNITION LETTERS ELSEVIER SCIENCE BV
Volume:
32
Research Area:
Computer Science
ISSN
ISI:000288922200005
Keywords :
Gegenbauer moments, Legendre moments, Chebyshev moments, Symmetry property, Fast algorithm, Gray-level images
Abstract:
Image representation by using polynomial moments is an interesting theme. In this paper, image representation by using orthogonal Gegenbauer function is presented. A novel method for accurate and fast computation of orthogonal Gegenbauer moments is proposed. The accurate values of Gegenbauer moments are obtained by mathematically integrating Gegenbauer polynomials multiplied by their weight functions over the digital image pixels. A novel recurrence formula is derived for the kernel generation. The proposed method removes the numerical approximation errors involved in conventional method. A fast algorithm is proposed to accelerate the moment's computations. A comparison with the conventional method is performed. The obtained results explain the efficiency and the superiority of the proposed method. (C) 2011 Elsevier B.V. All rights reserved.
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