How to Interpolate coordiantes and values of a surface plot

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!

Answer 1

[Matt J]

You can build a scatteredInterpolant object. Then you can interpolate anywhere you wish.

load('mesh_coordinates.mat');

centroids=cell2mat(cellfun(@mean,mesh_coordinates,'un',0));

F=scatteredInterpolant(centroids(:,1:2), centroids(:,3));

x=-0.3;

[ymin,ymax]= bounds(centroids(:,2));
y=linspace(ymin,ymax,100);

z=F({x,y});


plot(y,z,'o-'); xlabel y; ylabel z; title 'Cross Section @x=-0.3'

[Matt J]

For the pressure value interpolation, you would do the same thing, but interpolatng pressure instead of z.