How do I create a paraboloid?

Hi, I'm trying to create a demonstration for the game of go (baduk or wei chi) in which I show the influence of each stone on the board. One of my ideas is to create a paraboloid centered in each of the stones and then sum the paraboloids to get the whole influence of the board. Since this analysis is only worth for the first moves of the game I don't expect having processing problems.

The game table is basically a 19x19 matrix. I don't remember exactly if this formula works, but it might be something close to it, the surface would be like z = e^(-((X - pos1)^2 + (Y - pos2)^2))). It would be a "paraboloid" but with exponential decay then.

[José-Luis]

I don't really see a clear question in there.

[Star Strider]

It’s not a paraboloid. It’s a bivariate Gaussian function.

[Joseph Cheng]

why chose the paraboloid? is the weighting factor of each move tied to the "paraboloid"/gaussian function? wouldn't a simple 3d bar chart work just as well? and each space is a bar?