Spline interpolation of 3D scattered data

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Eli Duenisch 2013-5-23

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https://ww2.mathworks.cn/matlabcentral/answers/76797-spline-interpolation-of-3d-scattered-data

Hi, my data consists of two sets of mesh vertices (scattered distributed, each given by three coordinates x,y,z) and a set of values which belongs to the smaller set of vertices. The smaller set of vertices is a subset of the bigger set. Now I want to interpolate the values using the coordinates of the bigger set of vertices. griddata() only supports linear and nearest neighbor interpolation for 3D scattered data. Is there a function in MATLAB to perform a spline interpolation in 3D?

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Image Analyst 2013-5-24

A screenshot might really help here. Can you upload something?

Eli Duenisch 2013-5-31

编辑：Eli Duenisch 2013-5-31

Hi, sorry for the delayed response to your answers. The thing is I use a FEM software (Comsol) to obtain a certain solution vector (which are values assigned to the mesh vertices) for a given mesh. Now I refine that mesh and obtain another solution vector for that one. Then I want to compare the solutions to check for convergence when the mesh gets finer. Because the two solutions do not have the same size I need to increase the smaller solution vector via interpolation. MATLAB supports linear interploation in the griddata() function, but I need to use splines.

I just stumbled across a similar question here: http://www.mathworks.com/matlabcentral/answers/76465-interpolation-of-4d-data

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