Need help finding the z-coordinate of a 3D surface given a known x and y coordinate

I'm having trouble figuring out how to extract the z-coordinate intersection from a 3D plot when the x and y coordinate are known. The x and y planes in the image bllow are drawn for reference only for x = 0.1 and y = 0.4. Note also that the z-surface is not a uniform plane but rather a surface with a slight bit of tilt/twist. In this example, when x = 0.1 and y = 0.4, the intersection is: z = 0.814. I was able to manually find the intersection via the plot tools (ie clicking data types, then clicking the point of interest on the plot) but I need to code up a function that will take an x and y input and then spit out the z-coordinate. Also, the functino needs to return "NaN" for an answer if looking for the Z-coordinate where the z-surface doesnt exist (see: upper left most section of the z-surface)

For an experienced Matlab user, this is probably very simple to do but I'm struggling with it and would really appreciate a little help.

Thank you!

Answer 1

[darova]

What about interp2? If (x,y) are known z coord can be found

z1 = interp2(x0,y0,z0,x1,y1);