Curve start and end coordinates

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ekagra gupta
ekagra gupta il 29 Ago 2022
Modificato: Image Analyst il 30 Ago 2022
Hello,
I have a curve
I want to find the starting and end coordinates of these gaussian curves.
It would be great if you guys could help!
The required data is attached in this question itself ("req_data.mat").
Thank you!

Risposte (1)

Matt J
Matt J il 29 Ago 2022
Modificato: Matt J il 29 Ago 2022
Gaussian curves are infinite in length., so it isn't clear what your criterion would be for where they start/stop. However, a good place to start would probably be to use the Curve Fitting Toolbox to fit a three-term Gaussian model ( 'gauss3' ).
s=load('req_data.mat').drt_data;
x=s.tau;
y=s.gamma_tau*1e4;
a=[1.5,0.5,6];
b=[-2,-0.3,1.4];
c=[1,0.5,1];
x0=[a;b;c];
ft=fit(x,y,'gauss3','StartPoint',x0(:).');
plot(ft,x,y)
  5 Commenti
ekagra gupta
ekagra gupta il 30 Ago 2022
Thank you for clarifying!
Is it possible to calculate area of the 3 curves individually? (note: I still do not know the bounds for integral)
Image Analyst
Image Analyst il 30 Ago 2022
Modificato: Image Analyst il 30 Ago 2022
The area in the tails is probably insignificant, therefore simply use the formula for the area of a Gaussian:
The area under a Gaussian curve equals Amplitude * StdDev / 0.3989
From Matt's code you know the 3 amplitudes and 3 standard deviations. It should be accurate enough for your purposes.

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