How to find minimum of a 3D function in a double for loop plotted on a slice?

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I have 24 subplots of a 3D function (costf) plotted on a slice using two forloops,h and fov, as:
The program is:
figure
count = 1;
for h = 1000:1000:4000
for fov = [0.2, 0.5, 1, 2, 5, 10]
H = genHeight(h);
a = 0.01:0.01:0.05;
r = 4:20;
[X, Y, Z] = meshgrid(r, a, H);
xslice = r;
yslice = a;
zslice = H;
subplot(6, 4, count)
slice(X, Y, Z,costf, xslice, yslice, zslice)
shading interp
hCB=colorbar
hCB.Label.String='Cost function';
xlabel('CER_{ref}(\mum)')
ylabel('\alpha_{ref}(1/m)')
xlim([4, 20])
zlabel('Height(m)')
view([-221.831289102975 32.404205593246]);
count = count + 1;
end
end
I want to find the minimum value of the function "costf" in each loop, alternatively in each subplot and spot the minimum value in each subplot with asterisk. My cost function is a 3d function with dimensions, as:

Accepted Answer

Matt J
Matt J on 20 Apr 2022
Edited: Matt J on 20 Apr 2022
figure
count = 1;
for h = 1000:1000:4000
for fov = [0.2, 0.5, 1, 2, 5, 10]
....
tf=costf==min(costf(:));
hold on
scatter3(X(tf),Y(tf),Z(tf),'*')
hold off
end
end
  8 Comments
Matt J
Matt J on 20 Apr 2022
Edited: Matt J on 20 Apr 2022
if you proceed witth a code of finding a local minimum of a cost function (costf) on each slice
A straight-forward modification:
tf=costf==min(costf,[],[1,2]);

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