Splines
A spline is a series of polynomials joined at knots. Splines can be useful in scenarios where using a single approximating polynomial is impractical.
Curve Fitting Toolbox™ functions allow you to construct splines for fitting to and smoothing data. For more information, see How to Construct Splines. Splines can be used to smooth noisy data and perform interpolation. For a simple example showing how to use splines to perform interpolation, see Cubic Spline Interpolation.
Using the Curve Fitter app or the fit function, you can fit
cubic spline interpolants, smoothing splines, and thin-plate splines. Other
Curve Fitting Toolbox functions allows more specialized control over spline
construction. For information, see Introducing Spline Fitting.
Categories
- Spline Construction
Create splines including B-form, tensor-product, NURBs, and other rational splines
- Spline Postprocessing
Evaluate splines, plot, find minimum or zero-crossings, integrate or differentiate
- Breaks, Knots, and Sites
Optimize knots and breaks
Featured Examples
How to Construct Splines
Construct splines in various ways using the spline functions in Curve Fitting Toolbox™.
Cubic Spline Interpolation
Use the csapi and csape commands from Curve Fitting Toolbox™ to construct cubic spline interpolants.
Cubic Smoothing Splines
Use the csaps and spaps commands from Curve Fitting Toolbox™ to construct cubic smoothing splines.
Smoothing a Histogram
Use spline commands from Curve Fitting Toolbox™ to smooth a histogram.
Solving a Nonlinear ODE with a Boundary Layer by Collocation
Use spline commands from Curve Fitting Toolbox™ solve a nonlinear ordinary differential equation (ODE).
