[SciPy-User] 2D interpolation on random points of a function defined on a regular grid

Antonio tritemio@gmail....
Tue Apr 23 19:05:34 CDT 2013

```Hi,

I'm trying (with no success) to compute the interpolated values of a 2D
function that is known on a regular grid X,Y.  Although the function is
defined on a regular grid I want to compute the interpolation on arbitrary
positions.

I though I could use scipy.interpolate.interp2d, but apparently that
function works only to compute interpolation on a regular (rectilinear)
grid.

Here it is a (not working) example:

# Generate a simple 2D function
nx, ny = 5,4 # size of x and y axis
xd = arange(nx) # x axis
yd = arange(ny) # y axis
data = arange(nx*ny).reshape(ny,nx) # assume this is the result of
#  a function evaluation on the
Cartesian
#  grid [xd , yd]

# Generate some points where to compute the interpolation
x = rand(10)*xd.max()
y = rand(10)*yd.max()

# Interpolation (DOESN'T WORK)
import scipy.interpolate as SI
interp_fun = SI.interp2d(xd,yd,data)
z = interp_fun(x,y)

Is there a way in scipy to perform such interpolation?

Antonio
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