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Modified Gabor Wavelets for Image Decomposition and Perfect Reconstruction

Modified Gabor Wavelets for Image Decomposition and Perfect Reconstruction

Reza Fazel-Rezai, Witold Kinsner
Copyright: © 2009 |Volume: 3 |Issue: 4 |Pages: 15
ISSN: 1557-3958|EISSN: 1557-3966|ISSN: 1557-3958|EISBN13: 9781616920661|EISSN: 1557-3966|DOI: 10.4018/jcini.2009062302
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MLA

Fazel-Rezai, Reza, and Witold Kinsner. "Modified Gabor Wavelets for Image Decomposition and Perfect Reconstruction." IJCINI vol.3, no.4 2009: pp.19-33. http://doi.org/10.4018/jcini.2009062302

APA

Fazel-Rezai, R. & Kinsner, W. (2009). Modified Gabor Wavelets for Image Decomposition and Perfect Reconstruction. International Journal of Cognitive Informatics and Natural Intelligence (IJCINI), 3(4), 19-33. http://doi.org/10.4018/jcini.2009062302

Chicago

Fazel-Rezai, Reza, and Witold Kinsner. "Modified Gabor Wavelets for Image Decomposition and Perfect Reconstruction," International Journal of Cognitive Informatics and Natural Intelligence (IJCINI) 3, no.4: 19-33. http://doi.org/10.4018/jcini.2009062302

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Abstract

This article presents a scheme for image decomposition and perfect reconstruction based on Gabor wavelets. Gabor functions have been used extensively in areas related to the human visual system due to their localization in space and bandlimited properties. However, since the standard two-sided Gabor functions are not orthogonal and lead to nearly singular Gabor matrices, they have been used in the decomposition, feature extraction, and tracking of images rather than in image reconstruction. In an attempt to reduce the singularity of the Gabor matrix and produce reliable image reconstruction, in this article, the authors used single-sided Gabor functions. Their experiments revealed that the modified Gabor functions can accomplish perfect reconstruction.

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