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When calculating, say, the average openness in the neighborhood of a base, it would be nice to weight the values close to the center more than the values far from the center. So:
e^{ (r-a)^2 }
This function uses "a" as the radius you want to have the most weight and then tails off from there. In order to weight it;you need to figure out it's area on a disc, divide by that, then also multiply by the flat area of the disc. Then you will have thesame amount of weight as the simple average over the disc.
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