Find intersection between two curves

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Akash Gooljar
Akash Gooljar 2021-3-7
评论： Torsten 2023-7-6
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

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采纳的回答

Jan
Jan 2021-3-7
编辑：Jan 2021-3-7
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).
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ANA MARIA SANCHEZ GONZALEZ
ANA MARIA SANCHEZ GONZALEZ 2023-7-6
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 2023-7-6
Ran in:
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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