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how to find a 2D function Z(x,y) to fit data
Posted:
Aug 21, 2013 2:39 PM


I have a difficulty in finding a 2D function, Z(x,y), to fit data, where x is latitude, y is altitude, and z is a physical parameter.
An example of the data is shown at https://docs.google.com/file/d/0B9P_kUabfW3WMzctUFNydTFlNW8/edit?usp=sharing
I have lots of such 2D data and I would like to parameterize them, i.e., fit the data using a simple function with appropriately determined parameters.
Specifically, I have to know what function(s) (as simple as possible) can produce such a shape so that I can continue to do a 2D curve fitting. But I have no idea of how to find such a function.
P.S. Lagrange polynomial does not meet my needs.
thanks in advance for any suggestions!



