Equation for half-max contour of 2D Gaussian?

mikeph

Hi all,

If I have a Gaussian with the equation:

G(x,y) = h*exp(-(x-x0)^2/a -(y-y0)^2/b)

where x0, y0, a, b and h are the parameters which may vary, what's the equation for the elliptical contour line at the half-max of G?

I'm getting myself confused!

Thanks for help

haruspex

How far did you get? Did you find the max value? Did you plug half that into the equation to see what resulted?

mikeph

I was wondering if there is some standard result that meant I didn't have to do all that.

mathman

G(x,y) = h/2 is what you want.

(x-x0)²/a + (y-y0)²/b = ln2.