MATLAB: Interpolation of values on a three-dimensional surface represented by points

3d interpolationinterpolation

Hey Hi.. I needed some help in interpolation of data. Basically I have 3D surface coordinates (x,y,z) let say it is around 20000 and from some of this points i have a voltage value (just for 400 points) So, I want to find the voltage value for remaining points. So what should i do?

Best Answer

http://www.mathworks.com/help/matlab/ref/scatteredinterpolant-class.html

Vq = scatteredInterpolant(voltage_x, voltage_y, voltage_z, voltages);
interpolated_voltages = Vq(surface_x, surface_y, surface_z);

where voltage_[xyz] are the locations of the places you have recorded voltages for, and surface_[xyz] are the locations of the points you want to interpolate at.

Your bigger problem is displaying the result, a task which is made easier if the sampling points form a grid.

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So essentially, scattered interpolant creates a function for you, allowing you to interpolate v(x,y,z).

You can now use it to interpolate that relation for a complete grid of say (x,y) values, at a fixed level of z. That appears to be what you want. Create the grid in (x,y) using meshgrid or ndgrid.

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