How to do quadratic interpolation in two dimensions on a plane

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Kayson Christensen 2022 年 5 月 19 日
コメント済み: Matt J 2022 年 5 月 27 日
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!
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Kayson Christensen 2022 年 5 月 27 日
The planes are set parallel with the flow from the fans (as if you're looking down on the full setup). In that photo, the U velocity direction was shown. There are two more charts like in that photo recording the data for V and W at the same plane. It's a complicated setup, but I found it was the easiest way of recording accurate data.

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Matt J 2022 年 5 月 24 日
I realize the interp2 is a linear interpolation technique
No, you have several alternatives to linear interpolation with interp2,
Maybe try with 'cubic'?
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Matt J 2022 年 5 月 27 日
You're quite welcome but please Accept-click the answer to indicate that it worked.

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