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How can I interpolate data with the function ScatteredInterpolant (or else) within the boundaries of the input data only?

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NP on 16 Sep 2019
Commented: Star Strider on 17 Sep 2019
I'm testing interpolation functions to create grid data (Data Terrain Model) from contour lines stored in an xyz file that I imported in the structure contour_grid:
[xi,yi] = meshgrid(Xmin:res:Xmax, Ymin:res:Ymax);
f = scatteredInterpolant(contour_grid.X,contour_grid.Y,contour_grid.Z);
f.Method = 'natural';
zi= f(xi,yi);
My problem is that the ScatteredInterpolant function struggles to output sensible values outside of the contour lines. It makes sense since it does not have enough points to interpolate properly/sensibly. See "lip" below":
I would like to find a way not to output any data outside of the area defined by my outermost contour line or alternatively to automatically crop the grid domain accordingly (keep anything wth x >1.835 x 10^6 for example in that case).
I can't see how the function can be asked to do that. I'm trying to use indices to discard the erroneous data but I cannot formulate it properly.
Can anyone think of a smart way to do that/ has already solved this kind of issue?
Thank you,


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Accepted Answer

Star Strider
Star Strider on 16 Sep 2019
Specify 'ExtrapolationMethod' as 'none'.


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Star Strider
Star Strider on 17 Sep 2019
As always, my pleasure!
MATLAB functions are extremely versatile, and have significant options. I had to search for it in the documentation.
NP on 17 Sep 2019
Not all pages refering to scaterredInterpolant seem to mention that parameter. Always worth browsing some more!

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