Bi-dimensional Gabor filter with DC component compensation



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)



File Id: 13776 Average rating: 0.0

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Submitted: 2007-01-26 Downloads: 274

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Keywords: gabor filter



Stiven Schwanz Dias

-Bi-dimensional Gabor filter with DC compo .. compensation This version of the 2D Gabor f ilter is basically a bi-dimensional Gaussian f unction centered at origin (0, 0) with variance S modulated by a complex sinuso id with polar frequency (F, W) and phase P described by the following equati on : 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))) D C (F, S, P) = exp (-pi * (F / S) ^ 2 * P j) File Id : 13776 Average rating : 0.0 Size : # 1 KB of reviews : 0 Submitted : 2007-01-26 Downloads : 274 Subscribers : 0 Keywords : gabor filter Stiven Schwanz Dias