Self-Invertible 2D Log-Gabor Wavelets

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Self-Invertible 2D Log-Gabor Wavelets
Orthogonal and biorthogonal wavelets became very popular image processing tools but exhibit major drawbacks, namely a poor resolution in orientation and the lack of translation invariance due to aliasing between subbands. Alternative multiresolution transforms which specifically solve these drawbacks have been proposed. These transforms are generally overcomplete and consequently offer large degrees of freedom in their design. At the same time their optimization gets a challenging task. We propose here the construction of log-Gabor wavelet transforms which allow exact reconstruction and strengthen the excellent mathematical properties of the Gabor filters. Two major improvements on the previous Gabor wavelet schemes are proposed: first the highest frequency bands are covered by narrowly localized oriented filters. Secondly, the set of filters cover uniformly the Fourier domain including the highest and lowest frequencies and thus exact reconstruction is achieved using the same fi...
Sylvain Fischer, Filip Sroubek, Laurent Perrinet,
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2007
Where IJCV
Authors Sylvain Fischer, Filip Sroubek, Laurent Perrinet, Rafael Redondo, Gabriel Cristóbal
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