LogGabor 20171205

A log-Gabor pyramid is an oriented multiresolution scheme for images inspired by biology.

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LogGabor

A log-Gabor pyramid is an oriented multiresolution scheme for images inspired by biology.

Examples and documentation is available @ https://pythonhosted.org/LogGabor/


Log-Gabor filters. To represent the edges of the image at different levels and orientations, we use a multi-scale approach constructing a set of filters of different scales and according to oriented log-Gabor filters. This is represented here by stacking images on a Golden Rectangle Perrinet (2008), that is where the aspect ratio is the golden section ϕ=1+5√2. The level represents coefficients’ amplitude, hue corresponds to orientation. We present here the base image on the left and the successive levels of the pyramid in a clockwise fashion (for clarity, we stopped at level 8). Note that here we also use ϕ^2 (that is ϕ+1) as the down-scaling factor so that the pixelwise resolution of the pyramid images correspond across scales.

This package provides with a python implementation.

More information is available @ http://nbviewer.ipython.org/github/bicv/LogGabor/blob/master/LogGabor.ipynb


The Golden Laplacian Pyramid. To represent the edges of the image at different levels, we may use a simple recursive approach constructing progressively a set of images of decreasing sizes, from a base to the summit of a pyramid (see http://invibe.net/LaurentPerrinet/Publications/Perrinet15bicv for more details).