How to Interpolate coordiantes and values of a surface plot

Question

Jake 2023-1-17

1
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1895460-how-to-interpolate-coordiantes-and-values-of-a-surface-plot

编辑： Matt J 2023-1-20

mesh_coordinates.mat

Hi,

I have a set of coordinates that creates a mesh - i.e. XYZ coordinates of a set of quadrilateral panels that creates a mesh, as shown below.

I also have the coordinates of the centroid of each panel. Moreover, I have a pressure value at each of those centroids. I have attached the mesh coordiante file herewith (needs to be mirrored).

I'm not sure if I'm doing a good job explaining the problem, so I followed a rather graphical approach to show what I mean.

Now, I want to find coordinates (XYZ) at a particular XZ plane. For instance, say, I have a plane x = -3.0, as shown. I would like to find the coordinates XYZ on the surface that matches the said x values. Further, I want to find the interpolated pressure value too, that are acting along that specified x values.

How can I achieve this?

Thank you in advance!