## B-spline approximation

Version 3.0.3 (1.83 KB) by
Computes the B-spline approximation from a set of coordinates. Supports periodicity and n-th order approximation.
Updated 11 Feb 2021

Computes the B-spline approximation from a set of coordinates (knots).
The number of points per interval (default: 10) and the order of the B-spline (default: 3) can be changed. Periodic boundaries can be used.

It works on any dimension (even larger than 3...).

This code is inspired from that of Stefan Hueeber and Jonas Ballani [1].

Example (see image):
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
rng(1) % Set random seed for reproductility
XY=rand(5,2); % Random set of 5 points in 2D
BS3=BSpline(XY,'order',4); % order=4 -> cubic B-spline
BSper=BSpline(XY,'periodic',true);
h=plot(XY(:,1),XY(:,2),'-o',BS2(:,1),BS2(:,2),BS3(:,1),BS3(:,2),'--',BSper(:,1),BSper(:,2),'-.');
set(h, 'LineWidth',2)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

### Cite As

Dorian Depriester (2024). B-spline approximation (https://www.mathworks.com/matlabcentral/fileexchange/71456-b-spline-approximation), MATLAB Central File Exchange. Retrieved .

##### MATLAB Release Compatibility
Created with R2013b
Compatible with any release
##### Platform Compatibility
Windows macOS Linux
##### Categories
Find more on Splines in Help Center and MATLAB Answers
##### Acknowledgements

Inspired by: MTEX2Gmsh

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Version Published Release Notes
3.0.3

Update image

3.0.2

Fix confusion between order and degree

3.0.1

3.0.0

New feature: periodic conditions

2.0.1

Update the title, for it now works in any dimension

2.0.0

Works in any dimension

1.3.0

Ensure that the order is always smaller than the numer of knots

1.2.1

Crop image

1.2.0