Does anyone have the matlab code for parametric cubic splines caculation?

Hello every body. I am working on a project which needs to estimate the coefficinets of parametric cubic spline from some data points. I will be thankful if some body send the related codes to me.

Answer 1

[Hornett]

% Example data points
x = [0, 1, 2, 3, 4, 5];
y = [0, 1, 0, 1, 0, 1];

% Fit a cubic spline to the data
cs = spline(x, y);

% Generate a dense set of x values for plotting the spline
x_dense = linspace(min(x), max(x), 100);
y_dense = ppval(cs, x_dense);

% Plotting the original data points and the fitted spline
figure;
plot(x, y, 'ro', 'MarkerFaceColor', 'r', 'DisplayName', 'Data Points'); % Original data points
hold on;
plot(x_dense, y_dense, 'b-', 'DisplayName', 'Cubic Spline'); % Cubic spline
legend show;
xlabel('x');
ylabel('y');
title('Cubic Spline Fitting');
grid on;

Explanation:

• Data Points: Define your data points using vectors x and y.
• spline Function: This MATLAB function computes the cubic spline coefficients for the given data.
• ppval Function: This function evaluates the piecewise polynomial (spline) at the specified points in x_dense.
• Plotting: The plot function is used to visualize the original data points and the fitted spline curve.

Replace x and y with your actual data points. This code will fit a cubic spline to your data and display the result in a plot. If you have any specific requirements or need further details, feel free to ask!