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Fast computation of accurate Gaussian-Hermite moments for image processing applications
Faculty
Computer Science
Year:
2012
Type of Publication:
Article
Pages:
476-485
Authors:
Hosny, Khalid M
DOI:
10.1016/j.dsp.2012.01.002
Journal:
DIGITAL SIGNAL PROCESSING ACADEMIC PRESS INC ELSEVIER SCIENCE
Volume:
22
Research Area:
Engineering
ISSN
ISI:000302453500009
Keywords :
Gaussian-Hermite moments, Accurate computation, Fast algorithm, Gray-level images, Noise robustness
Abstract:
Gaussian-Hermite moments are orthogonal moments widely used in image processing and computer vision applications. Similar to the other families of orthogonal moments, highly computational demands represent the main challenging. In this work, an efficient method is proposed for fast computation of highly accurate Gaussian-Hermite moments for gray-level images. The proposed method achieves the accuracy through the integration of Gaussian-Hermite polynomials over the image pixels. To achieve the efficiency, the symmetry property of Gaussian-Hermite polynomials is employed where the computational complexity is reduced by 75\%. Fast computational methodology is employed to significantly accelerate the computational process where the 2D Gaussian-Hermite moments are treated in a separated form. Numerical experiments are performed where the results are compared with the conventional method. The comparison of the obtained results clearly ensures the efficiency of the proposed method. (C) 2012 Elsevier Inc. All rights reserved.
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