Martin,
I don't think I can use MBRContains because I'm not looking for points
in a bounded box.

My points aren't bounded by a box.  I'm measuring distances from a
point (center of a 1 mile by 1 mile grid square) to 600 other points
(coal plants).

My problem is calculating 1 billion trig functions (for the great
circle distance algorithm).

Another person has recommended looking into GIS algorithms.  For
instance: "surface fitting through sparse data".  I need help from an
expert in that subject.

...
My latest method for calculating tiles is to do it pixel by pixel, and
to average the "heat" for pixels that aren't represented by a data
point to get a smoother color transition.  (Previously I was filling
in the tile with rectangles).  I think a good GIS/spatial algorithm
would do this averaging better and hopefully faster than I'm doing it.

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