Gabor wavelet decomposition

*To*: mathgroup at smc.vnet.net*Subject*: [mg64705] Gabor wavelet decomposition*From*: Gareth Russell <russell at njit.edu>*Date*: Tue, 28 Feb 2006 01:49:37 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

Hi Group, I am going some image processing using the Wavelet Explorer toolbox. The toolbox uses the Least Asymmetric version of Daubechies as its example for 2D decomposition, but I would like to compare the results to the commonly-used Gabor filter, which is NOT part of the Toolbox. I know what the Gabor function is, but am not clear whether I can implement this in such a way that I can use the other functions of the Toolbox. The Gabor function is explicitly a 2D function (rather than the product of a 1D function applied to x and y coordinates), so the Toolbox input format, in which the chosen filter is provided as a 1D list of coefficients, would seem not to work. Please correct me if I'm wrong. If I'm right, does anyone know of any existing Mathematica code that does decomposition using Gabor wavelets? People have written code for a variety of other platforms, so before I try to adapt these on my own, I thought I would see what's available for Mathematica. I'm sure someone must have done it, but a search of the usual sources (MathGroup archives, etc.) comes up empty. Thanks, Gareth Russell Rutgers University/NJIT