How to do quadratic interpolation in two dimensions on a plane
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I'm working on a project which analyzes the air velocity in front of a fan. We took measurments at various positions on an x-y plane placed perpendicular to the air flow, and read velocity in the z-direction only. I tried to create a surface plot to help visually show what the flow is like, but since I only have a few data points it looked really jagged. I then tried to use the interp2 function to try and smooth out the points but it came out like this:
I realize the interp2 is a linear interpolation technique, but is there a way we could do a quadratic fit in two dimensions? Since this should look more like a bell curve, as you would expect. All of this data is recorded in matricies, with identical x and y matricies for the plane, and a U matrix for the velocities. I appreciate any help I can get!