How to replicate this graph with random peaks?

I need help replicating this graph that is perfect for the project I am working on right now.

One characteristic that is especially difficult for me to grasp is the continuous surface the peaks are attached to. Is there an equation or function that can get me to this point?

Edit: Changing the sign of Z in the peaks function seems to have done the job. However, I'd like to make it so that I can change the location and amplitude of these peaks. Is there a way I can modify the peaks function equation to do so?

I'm not exactly sure how to do this, so any advice is much appreciated. Thank you!

Answer 1

[Mathieu NOE]

hello

see little demo below , based on random data (up to you to specify x, y centers , sigmas and z amplitudes )

here I generated 10 peaks with random positions , sigmas and peak amplitude

% dummy random data
x = (0:1:100);
y = (0:1:100);

xc = max(x)*rand(10,1); % x center 
yc = max(y)*rand(10,1); % y center
sigmax = 2+7*rand(10,1); % x sigma 
sigmay = 3+5*rand(10,1); % y sigma
A = rand(10,1); % peak amplitude

nb_peaks = numel(xc);

[xx,yy] = meshgrid(x,y);

z = 0;
for ck = 1:nb_peaks
z = z + A(ck)*exp(-(xx-xc(ck)).^2/(2*sigmax(ck)^2)-(yy-yc(ck)).^2/(2*sigmay(ck)^2));
end

surf(xx,yy,z);
colorbar

[Seeven Amic]

Thanks Mathieu, you saved my problem, I have been looking for such a surface generating code with mulitple peaks for a while...

[Mathieu NOE]

hello

glad I could be of some help