find nearest value on mesh grid under certain contour

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Katherine Zheng
Katherine Zheng 2022-9-3
评论： Bruno Luong 2022-9-4
I have a surf matrix (colormap gray), a contour matrix (red). The magenta points are local minmum in red contours. I want to find the closest z value on the neigbhourhood contours. Is there any way to achieve this?
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Bruno Luong
Bruno Luong 2022-9-4
For each magenta point do you want to find the z value on the contour that enclosed the point? If the pointt is the locall minima, meaning that do you want to find the lowest Z along the contour?

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Chunru
Chunru 2022-9-4
Ran in:
load(websave("matlab.mat", "https://www.mathworks.com/matlabcentral/answers/uploaded_files/1116160/matlab.mat"))
% whos
surf(Xi2,Yi2,Zi2-max(Zi2(:)));
axis tight; title('m-min y-max')
colormap(gray); colorbar; %daspect([1 1 5]);
hold on
% red contour
surf(Xi2,Yi2,B2,'EdgeColor','r')
% peak and valley points
scatter3(Xi2(regmin),Yi2(regmin),Zi2(regmin),'mo','filled','sizedata',40)
scatter3(Xi2(regmax),Yi2(regmax),Zi2(regmax),'yo','filled','sizedata',40)
idxB2 = ~isnan(B2); % B2 has values of 0 and nans
% The values along the countour
Xc = Xi2(idxB2);
Yc = Yi2(idxB2);
Zc = Zi2(idxB2);
% These are values along the countour
[Xc Yc Zc]
ans = 727×3
1.3480 1.4440 0.0439 1.3480 1.4920 0.0357 1.3480 1.5160 0.0349 1.3480 1.6240 0.0122 1.3480 1.6480 0.0194 1.3480 1.6720 0.0230 1.3480 1.7560 0.0306 1.3480 1.7920 0.0192 1.3480 1.8160 0.0011 1.3480 1.8520 -0.0082

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