How to change the graph of frequency domain

Dear all,

I have coding to convert from spatial domain to frequency domain. Below is my coding.

Z = zeros(99); % create square matrix of zeroes
origin = [round((size(Z,2)-1)/2+1) round((size(Z,1)-1)/2+1)]; % "center" of the matrix
radius = round(sqrt(numel(Z)/(2*pi))); % radius for a circle that fills half the area of the matrix
[xx,yy] = meshgrid((1:size(Z,2))-origin(1),(1:size(Z,1))-origin(2)); % create x and y grid
Z(sqrt(xx.^2 + yy.^2) <= radius) = 1; % set points inside the radius equal to one
Z = im2double(Z)
imshow(Z); % show the "image"
%spatial domain
figure, imtool(Z)
%Frequency Domain
j = fftshift(fft2(Z));
figure, imshow(j)
j1 = log(1+abs(j));
figure ,imshow(j1)
j2 = bar(j1);

My graph frequency domain like this

How to make the graph like below

Answer 1

[Hassaan]

% Create a square matrix of zeroes
Z = zeros(99); 
origin = [round((size(Z,2)-1)/2+1) round((size(Z,1)-1)/2+1)]; % "center" of the matrix
radius = round(sqrt(numel(Z)/(2*pi))); % radius for a circle that fills half the area of the matrix
[xx,yy] = meshgrid((1:size(Z,2))-origin(1),(1:size(Z,1))-origin(2)); % create x and y grid
Z(sqrt(xx.^2 + yy.^2) <= radius) = 1; % set points inside the radius equal to one
Z = im2double(Z);
imshow(Z); % show the "image"

% Spatial domain
figure, imtool(Z)

% Frequency Domain
j = fftshift(fft2(Z));
j1 = log(1 + abs(j));

% Display the frequency domain image using imagesc
figure;
imagesc(j1);
colormap('jet'); % You can choose a different colormap if you prefer
colorbar;
title('Frequency Domain Representation');

% Extract a line profile through the center of the frequency domain representation
center = round(size(j1, 2) / 2);
lineProfile = j1(center, :);

% Plot the line profile
figure;
plot(lineProfile);
title('Line Profile of Frequency Domain');
xlabel('Frequency');
ylabel('Magnitude');

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