Is there a Multivariate PCHIP?
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I am trying to create an interpolant on a higher dimensional data set similar to how pchip and ppval would work. Does anyone know if such a method is implemented in Matlab (multivariate piecewise cubic Hermite interpolating polynomial)? I would need something like pchip(x1,x2,x3,F) to return the piecewise polynomial form. The reason is that I want to gain speed by calculating the interpolation only once in the beginning and then only evaluating it. Right now I use interpn and works well but I need to make it faster. Should I try to use a neural network to approximate my hypersurface?
Any ideas or advices will be appreciated.
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