Example —
[X,Y] = ndgrid(-3:0.1:3);
f = @(x,y) exp(-(x.^2+y.^2*3)*0.75);
Z = f(X,Y);
PowerVal = 0.41254;
figure
surf(X, Y, Z)
hold on
[c,h] = contour3(X, Y, Z, [1 1]*PowerVal, '-r', 'LineWidth',3);
hold off
colormap(turbo)
xv = c(1,2:end);
yv = c(2,2:end);
figure
plot(xv, yv)
grid
axis('equal')
axis('padded')
title("(X,Y) Coordinates At Power Value "+PowerVal)
I use contour3 here to draw the red line at the chosen level, to illustrate the idea. The contour functions only return the surface coordinates.
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