Gabor变换的Matlab程序
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% GABORFILTER Bi-dimensional Gabor filter with DC component compensation.% [G,GABOUT]=GABORFILTER(I,S,F,W,P) filters the input image I with the 2D% Gabor filter G described by the parameters S, F, W and P to create the % output filtered image GABOUT.% This version of the 2D Gabor filter is basically a bi-dimensional % Gaussian function centered at origin (0,0) with variance S modulated by% a complex sinusoid with polar frequency (F,W) and phase P described by % the following equation:%% G(x,y,S,F,W,P)=k*Gaussian(x,y,S)*(Sinusoid(x,y,F,W,P)-DC(F,S,P)),% where: % Gaussian(x,y,S)=exp(-pi*S^2*(x^2+y^2))% Sinusoid(x,y,F,W,P)=exp(j*(2*pi*F*(x*cos(W)+y*sin(W))+P)))% DC(F,S,P)=exp(-pi*(F/S)^2+j*P)%% PS: The term DC(F,S,P) compensates the inherent DC component produced % by the Gaussian envelop as shown by Movellan in [1].%% Tips:% 1) To get the real part and the imaginary part of the complex % filter output use real(gabout) and imag(gabout), respectively;% % 2) To get the magnitude and the phase of the complex filter output % use abs(gabout) and angle(gabout), respectively.% Author: Stiven Schwanz Dias e-mail: stivendias@gmail.com% Cognition Science Group, Informatic Department,% University of Esp韗ito Santo, Brazil, January 2007.%% References:% [1] Movellan, J. R. - Tutorial on Gabor Filters. Tech. rep., 2002.function [G,GABOUT]=gaborfilter(I,S,F,W,P);if isa(I,'double')~=1 I=double(I);endsize=fix(1.5/S); % exp(-1.5^2*pi) < 0.1%%k=2*pi*S^2;%F=S^2/sqrt(2*pi);k=1;for x=-size:size for y=-size:size G(size+x+1,size+y+1)=k*exp(-pi*S^2*(x*x+y*y))*... (exp(j*(2*pi*F*(x*cos(W)+y*sin(W))+P))-exp(-pi*(F/S)^2+j*P)); endendGABOUT=conv2(I,double(G),'same');
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