Mth Order Piecewise Spline Interpolation

A GUI that plots and gives equations for variable order intermediate splines.

3.9K Downloads

Updated Wed, 12 Sep 2012 00:30:34 +0000

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GSP is a graphical user interface which takes x and y points as inputs, along with the order m, then outputs mth order splines between each of the x points. In most cases additional constraints are to be entered as well.

Example:

Input:

x points : [1 2 3 4]
y points : [2 7 -1 5]
Order : 2
*One Additional Constraint is Required*
f '' (1) = 0

Output:

Polynomials:
0 5 -3
-13 57 -55
27 -183 305

In the Range:
1 2
2 3
3 4

This means the following:

for 1 < x < 2 y = 0*x^2 + 5*x - 3
for 2 < x < 3 y = -13*x^2 + 57*x - 55
for 3 < x < 4 y = 27*x^2 - 183*x + 305

Cite As

Husam Aldahiyat (2023). Mth Order Piecewise Spline Interpolation (https://www.mathworks.com/matlabcentral/fileexchange/22912-mth-order-piecewise-spline-interpolation), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2012b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: MATLAB Earthquake

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Version Published Release Notes
1.2.0.0

Updated to include an App file for R2012b

1.1.0.0

Corrected bug, added continuity button and integrated examples, improved code.

1.0.0.0