Improved 2D Gabor Filter

Bi-dimensional Gabor filter with DC component compensation.

Description

This version of the 2D Gabor filter [1] 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)

The following reference will be helpful to understand how setting the Gabor parameters:
[1] Movellan, J. R. - Tutorial on Gabor Filters. Tech. rep., 2002.

• MATLAB release: MATLAB 7.0.4 (R14SP2)
• Other Files: lena.jpg, ; colormaps.mat, ; gaborfilter.m, ; gabortest.m

[archna kamthe]

can use for research work.

[Heba Gamal]

hi thank you for providing gabor filter for the research i think this will be so usefull
but would you please tell what do these variable mean(I,S,F,W,P)
i think I is the input image but what are the rest of variable stand for
thank you

[Samuel Rivera]

This will save me time in my research! Thanks.
Some help about parameters:

S: related to variance for Gaussian envelope.
(F, W): polar frequency (frequency, angle) for sinusoid.
P: phase of sinusoid.

from documentation in function as well as Movellan, J. R. section 2.1 and 2.2

[A Mahesh]

usage of gabor filter