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On the computational aspects of affne moment invariants for gray-scale images
Faculty
Computer Science
Year:
2008
Type of Publication:
Article
Pages:
762-771
Authors:
Hosny, Khalid M
DOI:
10.1016/j.amc.2007.05.025
Journal:
APPLIED MATHEMATICS AND COMPUTATION ELSEVIER SCIENCE INC
Volume:
195
Research Area:
Mathematics
ISSN
ISI:000253173800040
Keywords :
affine moment invariants, exact computation, symmetric images
Abstract:
Affine moment invariants are widely used in pattern recognition and computer vision. The affine transform usually decomposed into a set of geometric transforms. The computation of these transforms relies on their relations with the geometric moments. Approximate computation of geometric moments produced a very large dynamic range that results in numerical instabilities. In this work, an exact method is used for the computation of affine moment invariants for gray level images, where the proposed method completely removes the approximation errors. Numerical experiments are performed to test the invariance of symmetric as well as asymmetric images subject to affine transformations. A comparison with the approximation method is made. The obtained results clearly explained the efficiency of the proposed method. (c) 2007 Elsevier Inc. All rights reserved.
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