ListIntegrate3D ?

*To*: mathgroup at smc.vnet.net*Subject*: [mg76697] ListIntegrate3D ?*From*: nottrevorgraham at gmail.com*Date*: Sat, 26 May 2007 04:24:35 -0400 (EDT)

Hi, 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. Trevor