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Is it possible to convert the 2D Gaussian function in to polar coordinates?

$\frac{1}{2\pi\sigma^2}\int_{-\infty}^{\infty}\int_{-\infty}^{\infty}\exp\big(-({(x-\mu_x)^2+(y-\mu_y)^2})/{2\sigma^2}\big) \,\mathrm{d}x\,\mathrm{d}y $

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    You would want your pole to be at $(\mu_x, \mu_y)$, so $x = \mu_x + r \cos \theta$ and similarly for $y$.2011-06-08

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Hint: There are many symmetries at work here. What if $\mu _x = \mu _y = 0$?

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    @shaikh: that's fine - then you should probably move the x and y polar coordinates by their respective mu...2011-06-08