## gaussian and rayleigh distribution MRI Late Enhancement

### Katarzyna b. (view profile)

on 31 May 2012
Latest activity Commented on by A-J KHAN

### A-J KHAN (view profile)

on 10 Jul 2016
Hello,
I am stuck with mri images that is why I ask for help.
I want to make Rayleigh and Gaussian distribution of intensities of the image and then fit it to the histogram but it does not work.
Below you can find my example and sample of code:
clc; clear all; close all;
I=I(:)'; [muhat, sigmahat]=normfit(I); mean_value=round(muhat); sigma_value=round(sigmahat);
x=0:1:29952; for i=1:size(x')
gauss(i)=100*exp( - (x(i)-mean_value)^2/(2*sigma_value^2)/(sigma_value*sqrt(2*pi)));
end
x=0:1:29952; for i=1:size(x')
rayl(i)=500*exp( - (x(i)^2/(2*sigma_value^2)*(x(i)/sigma_value^2)));
end
figure(3) plot(x,gauss, x,rayl) hold on imhist(I)

Ryan

### Ryan (view profile)

on 31 May 2012
Have you looked into using adapthisteq(Image,'Distribution','rayleigh')? There are additional settings and distributions. It is Contrast-Limited Adaptive Histogram Equalization (CLAHE). You can change the tile size that it filters the image at and the number of bins for color choices it can have in addition to some other things. I'm not sure if that will help you or not.
and

### Stephen (view profile)

on 31 May 2012

[c1, c2] = hist(I(:), 50);
f=fit(c2', c1', 'gauss1');
or for the rayleigh, you'd have to specify it in fittype where 'gauss1' is
f contains a structured variable with the amplitude, mean and std for the gausian, but for the rayleigh it should just be sigma and the amplitude.
you do not need a for loop to create the distribution curves. simply put c2 in place of x(i) and replace 100, 500 with the fit amplitude, and the mean/sigmas with their corresponding fit values. i.e.
gauss=f.a*exp( - (c2-f.b).^2/ (2*f.c^2) );
rayl should be similar. then,
hist(I(:),50),hold on, plot(c2,gauss,c2,rayl)

A-J KHAN

### A-J KHAN (view profile)

on 10 Jul 2016
Dear i am using the same technique for cardiac MRI can u plz helping me... my ID is amjadkhan_cs@yahoo.com waiting for u r responce