center of mass for variable values in a grid

On Sat, Sep 11, 2010 at 12:49 AM, Waichler, Scott R

Is there an existing function to compute the coordinates for the center of mass of a variable in a 2D or 3D grid, where dx, dy, and dz are known for all cells? ?The mass in each cell varies by location.

Thanks,
Scott Waichler

If your data is in a data frame of coordinates x, y, (and maybe z),
and variable W for all cells, and all your cells are the same size,
then its just the weighted average of the coordinate (assuming your
dataframe is the complete grid). So:

 xm = sum(d$x*d$W)/sum(d$W)
 ym = sum(d$y*d$W)/sum(d$W)

Or have I missed something?

Barry