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I am developing a heat map image generator and I have come to 2 solutions to calculate the intensity in a given point within a distance from the heat source:

The first one is similar to wave dispersion:

intensity = 1 / math.pow(1 + distance, 2)

The second one looks nice on the screen, but I invented it myself

intensity = math.pow(2, -distance)

I don't know if any of the solutions above are near the real world behavior.

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What you want is typically known as the Heat Equation. The exact solution will depend on the boundary conditions and what else is going on in your system.

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Your link helped me to understand more about this subject, so I can rephrase my question properly – Jader Dias Feb 15 at 15:13
I rephrased the question here asksci.com/questions/149/… – Jader Dias Feb 15 at 15:20

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