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version 1.0.0 (238 KB) by Jonas Lundgren
Fit a spline to noisy data


Updated 16 Apr 2019

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Direct spline interpolation of noisy data may result in a curve with
unwanted oscillations. This is particularly bad if the slope of the
curve is important.

A better approach is to reduce the degrees of freedom for the spline
and use the method of least squares to fit the spline to the noisy
data. The deegres of freedom are connected to the number of breaks
(knots), so the smoothing effect is controlled by the selection of

- A curve fitting tool based on B-splines
- Splines on ppform (piecewise polynomial)
- Any spline order (cubic splines by default)
- Periodic boundary conditions
- Linear constraints on function values and derivatives
- Robust fitting scheme
- Operates on ND arrays in the same way as SPLINE
- Nonuniform distributions of breaks

examples - Examples for splinefit
ppdiff - Differentiate piecewise polynomial
ppint - Integrate piecewise polynomial

Cite As

Jonas Lundgren (2021). SPLINEFIT (, MATLAB Central File Exchange. Retrieved .

Comments and Ratings (10)

Manuel Ferreira

Donghua Liao

Georg Nestlinger

Danny van der Haven


Bader Ben-Slimane

Great function and very easy to use. Would it be possible to weight the input data ?

Yussif M. Awelisah

Very helpful

Guowei Tu

yankun wang

Pablo López

MATLAB Release Compatibility
Created with R2017b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Inspired: Piecewise Polynomial Calculus

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