[Scilab-users] Analytic models for empirical 3D data

[Federico Miyara]

Dear all,

This is a tough one, and I'm aware it may not be directly related to 
Scilab, so sorry if it is off-topic. I post it anyway because it could 
lead in a future to a toolbox.

I'm looking for general methods for obtaining analytic models for 
empirical data such as a variable which depends on two independent 
variables (i.e., a double entry table). The aim isn't just to 
interpolate but to find a sort of analytical law that approximates the 
data. This has two steps:

1) Finding an analytic function, of two independent variables with as 
few parameters as possible that can likely approximate the data.

2) Optimizing the parameters for the best approximation to the data

2) Is relatively easy by least-squares or other optimization techniques. 
It is 1) the difficult part.

Any help as to literature or known mehods will be welcome

Federico Miyara







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