interp1 alternative in matlab

In Matlab, the interp1 function is often used for 1-D data interpolation. However, there are other alternatives that could be used depending on the requirements of the problem. One such alternative is using spline interpolation.

Here's an example of how to perform spline interpolation in Matlab:

main.m
% Define x and y values of observed data
x_obs = [1, 2, 3, 4, 5];
y_obs = [3, 7, 1, 6, 2];

% Define a finer grid of x values for the interpolated data
x_interp = [1:0.1:5];

% Perform spline interpolation
y_interp = spline(x_obs, y_obs, x_interp);

% Plot the observed data and the interpolated curve
plot(x_obs, y_obs, 'o', x_interp, y_interp, '-')
legend('observed data', 'spline interpolated curve')
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This code defines a set of observed data points with x_obs and y_obs. It then defines a finer grid of x values for the interpolated data with x_interp. The spline function is then used to perform spline interpolation on the observed data, which is stored in y_interp. Finally, the observed data and the interpolated curve are plotted using the plot function.

Note that spline interpolation can also be used for extrapolation, which is the estimation of values outside the range of observed data. However, care must be taken with extrapolation, as it can lead to inaccurate or unstable results depending on the nature of the data.