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I'd like to calculate a radial profile of a 2D Gaussian.

2D-Plot

it should be a half of a Gaussian, maximum of about 3000 at $R=0$.

If I plot radial positions $\left(\sqrt{x^2+y^2} \right)$ of every point, i get second distribution:

rad-uncorrelated

Is weighting with $\tfrac{1}{R}$ correct (picture below)? Should it also be weighted with integral area of the initial Gaussian?

rad-cor

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    $e^{- {(x^2+y^2)\over 2 \sigma^2}}dx dy = e^{-{r^2 \over 2 \sigma^2}} r dr d \theta$?2011-08-18

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