- To: mathgroup at smc.vnet.net
- Subject: [mg76697] ListIntegrate3D ?
- From: nottrevorgraham at gmail.com
- Date: Sat, 26 May 2007 04:24:35 -0400 (EDT)
I have a list of x,y,z data:
x1, y1, z1
x2, y2, z2
xN, yN, zN
That defines a surface z=f(x,y). I would like to be able to integrate
to compute the area under this surface.
To do this, I assume I need first need to interpolate the surface,
then integrate the interpolated approximation (which will be an
approximation to f(x,y)). In 2D this seems straightforward, using
NumericalMath`ListIntegrate`. Could anyone suggest how I could do
this in 3D?
The data is two parameters (x,y) and z is the (log)-likelihood of a
model given the parameters. I'm trying to integrate the likelihoods
over (x,y) to compute a posterior distribution.
Many thanks for your help.
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