How to plot the maximum regions given several functions in a 2D plot?
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I have three functions A(i,j), B(i,j), and C(i,j) which are functions of i and j , where a<i<b and a<j<b.
I want to distinguish and plot regions where each of these functions has the maximum value. Can someone please help me get started?
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Accepted Answer
Walter Roberson
on 21 Jul 2023
idx = max(cat(3, A, B, C), [], 3);
cmap = [.3 0 0; %light red
0 .5 0; %light green
0 0 .8]; %blue
pcolor(idx); colormap(cmap)
xlabel('i'); ylabel('j')
fake(1) = plot(nan, nan, 'DisplayName', 'A', 'Color', cmap(1));
fake(2) = plot(nan, nan, 'DisplayName', 'B', 'Color', cmap(2));
fake(3) = plot(nan, nan, 'DisplayName', 'C', 'Color', cmap(3));
legend(fake)
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Bruno Luong
on 21 Jul 2023
It is still not clear to me how pcolor graphical result has 3 colors, and not more as I assume it takes the average.
A=rand(5);
B=rand(5);
C=rand(5);
[~,idx] = max(cat(3, A, B, C), [], 3)
idx3 = cat(3,idx(1:end-1,1:end-1), ...
idx(1:end-1,2:end), ...
idx(2:end,2:end), ...
idx(2:end,1:end-1));
mean(idx3,3)
min(idx3,[],3)
max(idx3,[],3)
pcolor(idx);
It must have some odd algorithm to decide the color.
But never mind I rarely (never) use pcolor.
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