# [Numpy-discussion] Interpolation question

Andrea Gavana andrea.gavana at gmail.com
Sat Mar 27 20:24:01 EDT 2010

```Hi All,

I have an interpolation problem and I am having some difficulties
in tackling it. I hope I can explain myself clearly enough.

Basically, I have a whole bunch of 3D fluid flow simulations (close to
1000), and they are a result of different combinations of parameters.
I was planning to use the Radial Basis Functions in scipy, but for the
moment let's assume, to simplify things, that I am dealing only with
one parameter (x). In 1000 simulations, this parameter x has 1000
values, obviously. The problem is, the outcome of every single
simulation is a vector of oil production over time (let's say 40
values per simulation, one per year), and I would like to be able to
interpolate my x parameter (1000 values) against all the simulations
(1000x40) and get an approximating function that, given another x
parameter (of size 1x1) will give me back an interpolated production
profile (of size 1x40).

Something along these lines:

import numpy as np
from scipy.interpolate import Rbf

# x.shape = (1000, 1)
# y.shape = (1000, 40)

rbf = Rbf(x, y)

# New result with xi.shape = (1, 1) --> fi.shape = (1, 40)
fi = rbf(xi)

Does anyone have a suggestion on how I could implement this? Sorry if
it sounds confused... Please feel free to correct any wrong
assumptions I have made, or to propose other approaches if you think
RBFs are not suitable for this kind of problems.

Andrea.

"Imagination Is The Only Weapon In The War Against Reality."
http://xoomer.alice.it/infinity77/

==> Never *EVER* use RemovalGroup for your house removal. You'll
regret it forever.
http://thedoomedcity.blogspot.com/2010/03/removal-group-nightmare.html <==

```