# Curve fitting to get gamma curve parameter

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Dear Forum Member.

I want to fit a curve to gamma like curve with current data that i have.

i need to get shape and scale parameter from the data that i assume have a gamma intensity curve.

Here is the grey level as (Y)

Columns 1 through 17

150 149 151 157 163 169 174 176 177 177 177 181 185 186 185 184 181

Columns 18 through 24

176 173 171 169 167 168 168

and the index is

Columns 1 through 14

1 2 3 4 5 6 7 8 9 10 11 12 13 14

Columns 15 through 24

15 16 17 18 19 20 21 22 23 24

if i create the plot it will be like this

i want to assume the graph as gamma curve, how to get the shape and scale parameter for this curve if i only have x and y ?

new image :

Thank you :)

##### 0 Comments

### Accepted Answer

Tom Lane
on 9 Apr 2013

I'm not sure what you mean by a gamma curve. If you mean a scalar multiple of a curve with the same form as a gamma probability density function, here's an example using nlinfit from the Statistics Toolbox:

function main

y = [150 149 151 157 163 169 174 176 177 177 177 181 ...

185 186 185 184 181 176 173 171 169 167 168 168];

x = 1:24;

p = nlinfit(x,y,@f,[1 10 150])

plot(x,y,'bo',x,f(p,x),'r-')

end

function y = f(abc,x)

a = abc(1); b = abc(2); c = abc(3);

y = c * x.^(a-1) .* exp(-x/b) / (b^a * gamma(a));

end

##### 3 Comments

Tom Lane
on 9 Apr 2013

### More Answers (2)

bym
on 6 Apr 2013

If you have the statistics toolbox, you can use:

gamfit()

##### 2 Comments

bym
on 7 Apr 2013

Yes, I thought your question pertained to statistics not image processing. You can use

lsqcurvefit()

to fit a nonlinear curve, but it appears from your plot that your data does not follow a power law

Shariefa Shaik
on 6 Mar 2018

Why [1 10 150] values only

##### 1 Comment

Torsten
on 6 Mar 2018

These are initial guesses for the parameters to be determined, not data points.

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