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Sparse overcomplete Gabor wavelet representation based on local competitions

delete2006-02-01
delete31
PRE
AI
S
Sylvain Fischer
G
Gabriel Cristóbal
R
Rafael Redondo
DOI:10.1109/TIP.2005.860614delete
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Abstract

Abstract

En 中文
Gabor representations present a number of interesting properties despite the fact that the basis functions are nonorthogonal and provide an overcomplete representation or a nonexact reconstruction. Overcompleteness involves an expansion of the number of coefficients in the transform domain and induces a redundancy that can be further reduced through computational costly iterative algorithms like Matching Pursuit. Here, a biologically plausible algorithm based on competitions between neighboring coefficients is employed for adaptively representing any source image by a selected subset of Gabor functions. This scheme involves a sharper edge localization and a significant reduction of the information redundancy, while, at the same time, the reconstruction quality is preserved. The method is characterized by its biological plausibility and promising results, but it still requires a more in depth theoretical analysis for completing its validation.
Keywords:
biological system modeling
image coding
image edge analysis
overcomplete representations
wavelet transforms
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Journal

IEEE Transactions on Image Processing cover
IEEE Transactions on Image Processing
IF:
13.7
Papers:
1.0W
Citations:
8.4W

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