MATLAB: I want to create random bumps on a flat surface

bumpguassianmatricesmatrixzeros

I have a 300×300 zeros matrix and I would like to create random bumps on the surface on random heights. To be more detailed, imagine circles of ones on the surface, I would like to (rather than those) have bumps on the surface.
Almost like 3D Guassian bumps on the surface.
Any help would be appreciated.

Best Answer

You can add Two-dimensional Gaussian functions with random amplitude at random location:
M = zeros(300,300); % initial matrix
N = 3; % number of bumps
sigma = 3;% std (width) of Gauss 
maxAmplitude = 5; % maximum height
[x,y] = meshgrid(1:size(M,1),1:size(M,2));
for k=1:N
    % random location of bumps
    xc = randi(size(M,1));
    yc = randi(size(M,2));
    % Gauss function
    exponent = ((x-xc).^2 + (y-yc).^2)./(2*sigma^2);
    amplitude = rand()*maxAmplitude;  
    % add Gauss to the matrix M
    M = M + amplitude*exp(-exponent);
end
surf(M)
shading interp
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