Integrate a 2D gaussian over its FWHM

Question

Sujay Ray 2020-12-6

0
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https://ww2.mathworks.cn/matlabcentral/answers/681493-integrate-a-2d-gaussian-over-its-fwhm

回答： Shadaab Siddiqie 2020-12-9

Hi,

I need some help to integrate over a 2D gaussian function below... with limits (x0-FEHMx/2) to (x0+FEHMx/)2 and (y0-FEHMy/2) to (y0+FEHMy/2).

function F = D2GaussSingle(x,xdata)

F = x(1)*exp( -((xdata(:,:,1)-x(2)).^2/(2*x(3)^2) + (xdata(:,:,2)-x(4)).^2/(2*x(5)^2) ) )+x(6) ;

end

I am not sure how to integrate and parametrize at the same time. Lets say My gaussian fit gives me values of x as [5000, 0,2.5,-0.1,2.4,500] ; (parameters [Amp,xo,wx,yo,wy,background]). I have tried the following but am not able to get it to work. can someone please help.

fun=@ D2GaussSingle(x);

sumN = integral2(fun,x(2)-FWHMx/2,x(2)+FWHMx/2,x(4)-FWHMy/2,x(4)+FWHMy/2);

fun = @(x,xdata)D2GaussSingle(x,xdata);

n = integral(@(xdata)fun(x,xdata),0,100);