find intersection between curves in matlab

To find the intersection between two curves in Matlab, we can use curve fitting and numerical optimization methods. First, we need to fit a curve to each data set. Then, we can use optimization functions like fzero or fsolve to find the intersection point.

Here's an example code to find the intersection between two curves:

main.m
% Generate two data sets with curves
x1 = linspace(-5,5,100);
y1 = x1.^2 - 2;

x2 = linspace(-5,5,100);
y2 = -x2.^2 + 2.*x2 + 3;

% Fit a curve to each data set
f1 = fit(x1', y1', 'poly2');
f2 = fit(x2', y2', 'poly2');

% Define a function to calculate the difference between the two curves
diff_fun = @(x) f1(x) - f2(x);

% Use fzero to find the intersection point
x_intersection = fzero(diff_fun, 0)

% Plot the curves and the intersection point
plot(x1,y1,'-r',x2,y2,'-b',x_intersection,f1(x_intersection),'or')
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In this example, we generate two data sets with curves using linspace function. Then, we fit a quadratic curve to each data set using fit function. After that, we define a function to calculate the difference between the two curves. Finally, we use fzero function to find the intersection point and plot the curves and the intersection point using plot function.

Note that this is just one way to find the intersection between two curves in Matlab, and there are other methods like using root function or optimization algorithms.