O = double(imread('kierowca.png'));
colormap(gray(256));
Y = 0.2126.*O(:,:,1) + 0.7152.*O(:,:,2) + 0.0722.*O(:,:,3);
subplot(4,4,1);
colormap(gray(256));
image(Y);
title('obraz oryginalny');

subplot(4,4,2);
X1 = Y./255;
X1 = fft2(X1);
image(fftshift(abs(X1)));
title('');

subplot(4,4,3);
Y2 = (X1 / max(max(X1))).*255;
image(fftshift(abs(Y2)));
title('');

subplot(4,4,4);
Y3 = X1;
Y3 = ifft2(Y3);
image(real(Y3).*255);
title('');

%etap2
subplot(4,4,5);
X1(1,1) = X1(1,1)*2;
X1 = ifft2(X1);
[J K] = fJasKon(X1);
image(X1.*255);

%etap3
P = double(imread('litery.png'));
colormap(gray(256));
X = 0.2126.*P(:,:,1) + 0.7152.*P(:,:,2) + 0.0722.*P(:,:,3);
subplot(4,4,6);
colormap(gray(256));
image(X);
title('obraz oryginalny');

%maska obraz
X3 = X./255;
[m n] = size(X3);
X3 = zeros(m,n);

mmask11 = zeros(m,n);
mmask11(ms, me) = 1;
mmask11(ns, ne) = 1;

mmask12 = fliplr(mmask11);
mmask21 = flipud(mmask11);
mmask22 = fliplr(mmask21);

ms = m - 4 : m;
me = 1 : m;
ns = n - 4 : n;
ne = 1 : n;

mmask = [mmask11 mmask12; mmask21 mmask22];
subplot(4,4,7);
image(mmask.*255);
title('maska obraz');

%maska widmo
X1 = X./255;
X1 = fft2(X1);

[w k] = size(X1);

X2 = zeros(w,k);

mask11 = zeros(w,k);

mask11(ws, ke) = 1;
mask11(we, ks) = 1;

mask12 = fliplr(mask11);
mask21 = flipud(mask11);
mask22 = fliplr(mask21);

ws = w - 4 : w;
we = 1 : w;
ks = k - 4 : k;
ke = 1 : k;
mask = [mask11 mask12; mask21 mask22];
subplot(4,4,8);
image(mask.*255);
title('maska widmo');