10.6084/m9.figshare.2067504.v1 Gabriel Cristobal Gabriel Cristobal Sylvain Fischer Sylvain Fischer Rafael Redondo Rafael Redondo LogGabor Matlab toolbox figshare 2016 image processing programs multiresolution Gabor wavelet transformation Image Processing Computer Vision Signal Processing 2016-01-26 09:01:06 Software https://figshare.com/articles/software/LogGabor_Matlab_toolbox/2067504 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. 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 filters in both the direct and the inverse transforms (which means that the transform is self-invertible). This package provides the procedure for constructing log-Gabor filters by implementing such multiresolution scheme.