如何在MATLAB中显示40 gabor滤波器 [英] How to show 40 gabor filter in matlab

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问题描述

有人可以帮助我如何在matlab中显示gabor滤波器,我可以显示它,但它不是我想要的。这是我的代码:

pre $ g $ g $ gbout gaborfilter1(B,sx,sy,f,theta(j)) ;


G {m,n,i,j} = Gf;

这是gabor过滤器类:

<$函数[gf,gabout] = gaborfilter(I,Sx,Sy,f,theta); p $ p>

如果isa(I,'double')〜= 1
I = double(I);
end

for x = -fix(Sx):fix(Sx)
for y = -fix(Sy):fix(Sy)
xPrime = x * cos(θ)+ y * sin(θ);
yPrime = y * cos(theta) - x * sin(theta); $($)$ b $ Gf(fix(Sx)+ x + 1,fix(Sy)+ y + 1)= exp( - 。5 *((xPrime / Sx)^ 2 +(yPrime / Sy)^ 2))* COS(2 * PI * F * xPrime);
end
end

Imgabout = conv2(I,double(imag(Gf)),'same');
Regabout = conv2(I,double(real(Gf)),'same');

gabout = sqrt(Imgabout。* Imgabout + Regabout。* Regabout);

然后,我用这段代码显示:

  imshow(G {M,N,I,J},[]); 

以及结果:


但是我想要这个结果,可以有人帮我如何解决这个问题?



解决方案

使用以下功能。我希望这是有用的。

------------------------------------- ---------------------------

  gfs = GaborFilter(51,0.45,0.05,6,4); 
n = 0;
for s = 1:6
for d = 1:4
n = n + 1;
subplot(6,4,n)
imshow(real(squeeze(gfs(s,d,:,))),[])
end
end

示例图片

--------------------------------- -------------------------------

  function gfs = GaborFilter(winLen,uh,ul,S,D)

%gfs(SCALE,DIRECTION,:,)

winLen = winLen + mod(winLen,2)-1;
x0 =(winLen + 1)/ 2;
y0 = x0;

如果S == 1
a = 1;
su = uh / sqrt(log(4));
sv = su;
else
a =(uh / ul)^(1 /(S-1));
su =(a-1)* uh /((a + 1)* sqrt(log(4)));
如果D == 1
tang = 1;
else
tang = tan(pi /(2 * D));
end
sv = tang *(uh -log(4)* su ^ 2 / uh)/ sqrt(log(4) - (log(4)* su / uh)^ 2)
end

sx = 1 /(2 * pi * su);
sy = 1 /(2 * pi * sv);
coef = 1 /(2 * pi * sx * sy);

gfs =零(S,D,winLen,winLen);

for d = 1:D
theta =(d-1)* pi / D;
for s = 1:S
scale = a ^( - (s-1));
gab = zeros(winLen); (x-x0)* cos(θ)+(y-y0)* sin(θ) );
Y =比例*( - (x-x0)* sin(θ)+(y-y0)*cosθ) (x,y)= -0.5 *((X / sx)。^ 2 +(Y / sy)。^ 2)+(2 * pi * 1j * uh)* X;
end
end
gfs(s,d,:,:) = scale * coef * exp(gab);
end
end


can someone help me how to show gabor filter in matlab, i can show it but its not what i want. this is my code :

 [Gf,gabout] = gaborfilter1(B,sx,sy,f,theta(j));


G{m,n,i,j} = Gf;

and this is gabor filter class:

function [Gf,gabout] = gaborfilter(I,Sx,Sy,f,theta);

if isa(I,'double')~=1 
    I = double(I);
end

for x = -fix(Sx):fix(Sx)
    for y = -fix(Sy):fix(Sy)
        xPrime = x * cos(theta) + y * sin(theta);
        yPrime = y * cos(theta) - x * sin(theta);
        Gf(fix(Sx)+x+1,fix(Sy)+y+1) = exp(-.5*((xPrime/Sx)^2+(yPrime/Sy)^2))*cos(2*pi*f*xPrime);
    end
end

Imgabout = conv2(I,double(imag(Gf)),'same');
Regabout = conv2(I,double(real(Gf)),'same');

gabout = sqrt(Imgabout.*Imgabout + Regabout.*Regabout);

Then, I imshow with this code:

imshow(G{m,n,i,j},[]);

and the results :

But i want this result, can someone help me how to slove this?

解决方案

Use the following function. I hope this is useful.
----------------------------------------------------------------

gfs = GaborFilter(51,0.45,0.05,6,4);
n=0;
for s=1:6
   for d=1:4
        n=n+1;
        subplot(6,4,n)
        imshow(real(squeeze(gfs(s,d,:,:))),[])
   end
end

Sample Image
----------------------------------------------------------------

function gfs = GaborFilter(winLen,uh,ul,S,D)

% gfs(SCALE, DIRECTION, :, :)

winLen = winLen + mod(winLen, 2) -1;
x0 = (winLen + 1)/2;
y0 = x0;

if S==1
    a = 1;
    su = uh/sqrt(log(4));
    sv = su;
else
    a = (uh/ul)^(1/(S-1));
    su = (a-1)*uh/((a+1)*sqrt(log(4)));
    if D==1
        tang = 1;
    else
        tang = tan(pi/(2*D));
    end
    sv = tang * (uh - log(4)*su^2/uh)/sqrt(log(4) - (log(4)*su/uh)^2);
end

sx = 1/(2*pi*su);
sy = 1/(2*pi*sv);
coef = 1/(2*pi*sx*sy);

gfs = zeros(S, D, winLen, winLen);

for d = 1:D
    theta = (d-1)*pi/D;
    for s = 1:S
        scale = a^(-(s-1));
        gab = zeros(winLen);
        for x = 1:winLen
            for y = 1:winLen
                X = scale * ((x-x0)*cos(theta) + (y-y0)*sin(theta));
                Y = scale * (-(x-x0)*sin(theta) + (y-y0)*cos(theta));
                gab(x, y) = -0.5 * ( (X/sx).^2 + (Y/sy).^2 ) + (2*pi*1j*uh)*X ;
            end
        end
        gfs(s, d, :, :) = scale * coef * exp(gab); 
    end
end

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