Find intersection between two curves

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Hello i have plot two curves and i would like to create a function so as to find the intersections between the two curves
Here is my code :
x=-100*pi:pi/32:100*pi;
y1=exp(x);
y2=sin(x);
figure(1)
plot(y1,'b');hold on
plot(y2,'g');
hold off
grid

Accepted Answer

Jan
Jan on 7 Mar 2021
Edited: Jan on 7 Mar 2021
The intersection is the location, where both functions have the same value. Then their difference is 0.
You can use fzero with the function: @(x) exp(x) - sin(x).
  8 Comments
ANA MARIA SANCHEZ GONZALEZ
Hi guys! I need to find the intersection between two curves but one of them is given as vectors (experimental data). Could you please help me with that? Thank you in advance!
Torsten
Torsten on 6 Jul 2023
Is interpolating the measurement data by a spline curve, taking the difference of the two so created curves and searching for a zero of this difference function an option ?
% Artificial measurement data
x = 0:0.1:2;
fi_measurement = x.^2;
% Second curve
f = @(x) x;
% Fit measurement data by spline curve
f_measurement = @(xq) interp1(x,fi_measurement,xq,'spline');
% Find intersection(s) between spline curve and second curve
sol1 = fzero(@(x)f(x)-f_measurement(x),0.5)
sol1 = -1.0469e-22
sol2 = fzero(@(x)f(x)-f_measurement(x),1.5)
sol2 = 1

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