About Splines in Curve Fitting Toolbox
You can work with splines in Curve Fitting Toolbox™ in several ways.
Using the Curve Fitter app or the
fit function you can:
Fit cubic spline interpolants to curves or surfaces
Fit smoothing splines and shape-preserving cubic spline interpolants to curves (but not surfaces)
Fit thin-plate splines to surfaces (but not curves)
The toolbox also contains specific splines functions to allow greater
control over what you can create. For example, you can use the
csapi function for cubic spline
interpolation. Why would you use
csapi instead of the
'cubicinterp' option? You might require greater flexibility
to work with splines for the following reasons:
You want to combine the results with other splines, for example, by addition.
You want vector-valued splines. You can use
csapiwith scalars, vectors, matrices, and ND-arrays. The
fitfunction only allows scalar-valued splines.
You want other types of splines such as ppform, B-form, tensor-product, rational, and stform thin-plate splines.
You want to create splines without data.
You want to specify breaks, optimize knot placement, and use specialized functions for spline manipulation such as differentiation and integration.
If you require specialized spline functions, see the following sections for interactive and programmatic spline fitting.
Interactive Spline Fitting
You can access all spline functions from the Spline Tool (
Programmatic Spline Fitting
To programmatically fit splines, see Spline Construction for descriptions of types of splines and numerous examples.