crea uno script matlab che con l'input di 4 punti in un grafico xy restituisce una serie di punti che creano una curva in matlab

To create a script in MATLAB that takes input of 4 points on an XY graph and returns a series of points that create a curve, you can use the built-in curve fitting and data interpolation functions.

Here's an example script that demonstrates this:

main.m
% Define the 4 input points
x = [1, 2, 3, 4]; % X-coordinates
y = [1, 4, 9, 16]; % Y-coordinates

% Fit a curve through the points
fitResult = fit(x', y', 'poly3'); % Use 'poly3' for a cubic polynomial fit

% Generate a series of points on the fitted curve
xFit = linspace(min(x), max(x), 100); % Choose desired number of points (e.g., 100)
yFit = feval(fitResult, xFit); % Evaluate the fitted curve at the x values

% Plot the original points and the fitted curve
plot(x, y, 'ro', 'MarkerSize', 10); % Plot original points as red circles
hold on; % Hold the plot
plot(xFit, yFit, 'b-'); % Plot the fitted curve as a blue line
hold off; % Release the plot

% Add labels and legend
xlabel('X');
ylabel('Y');
legend('Original Points', 'Fitted Curve');
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You can modify the x and y arrays to input your desired points. The poly3 option in the fit function is for fitting a cubic polynomial curve. You can also try other curve fitting options like poly2 for a quadratic curve or poly4 for a quartic curve.

The script will generate a series of points (xFit and yFit) based on the fitted curve and plot them along with the original points.

Note: Keep in mind that fitting a curve through only 4 points may not always produce the desired results. More data points often lead to better curve fitting accuracy.

Also, make sure you have the Curve Fitting Toolbox installed in MATLAB, as it is needed for the fit function.