Thank Rolf, I am aware of the extrapolation possibilities within the interpolation packages within akima but this interpolation often leads to unrealistic results for my sedimentary units. Therefore I would like to be able to just apply the interpolation to the thickness measurements within the convex hull of the data with the interpolation taking into account that everywhere outside of the convex hull the thickness value is zero rather than increasing again. I would specifically like to apply this to the Tps function as using this function I can apply weights to my data which I can't in the akima fucntions.
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