interpolate 3D data onto 2D plane

I have variables (p,T,u,v,w) that are output for 3D block. Each point location is defined by (x,y,z) with corresponding value of the variables (p,T,u,v,w).

Is it possible to interpolate the 3D data to 2-D plane shown in the following figure?

Can gridata function be used for doing this interpolation?

vq = griddata(x,y,z,v,xq,yq,zq)

In that case, xq,yq and zq are points on the 2-D plane (outlined in black color)?

[Torsten]

Strange plane. Is it curved ?

[zein]

the plane is straight

Answer 1

[Esha Chakraborty]

Hi Zein,

I understand that you want to determine the possibility of interpolating 3D data onto 2D plane using griddata() function.

It is possible to fit a hypersurface of the form v = f(x,y,z) using griddata(x,y,z,v,xq,yq,zq), where griddata() function interpolates the surface at the query points specified by (xq,yq,zq) and returns the interpolated values, vq.

You can find a similar example in the link below:

https://www.mathworks.com/matlabcentral/answers/482431-interpolated-2d-sections-out-of-3d-plot

You can also find more details about the griddata() function here.