||Plot B-spline and its polynomial pieces|
||Cubic spline interpolation with end conditions|
||Cubic spline interpolation|
||Cubic smoothing spline|
||"Natural" or periodic interpolating cubic spline curve|
||Interactive creation of cubic spline curve|
||Put together spline in ppform|
||Put together rational spline|
||Piecewise biarc Hermite interpolation|
||Put together rational spline for standard geometric shapes|
||Least-squares spline approximation|
||Spline curve by uniform subdivision|
||Experiment with some spline approximation methods|
||Put together spline in B-form|
||Put together function in stform|
||Thin-plate smoothing spline|
Use cubic splines to interpolate smooth data, choosing knots and smoothness.
Use vector-valued splines to plot curves through given points.
Use vector-valued splines to approximate gridded data in any number of variables using tensor-product splines.
Use the thin-plate smoothing spline for work with scattered bivariate data. Tensor-product splines are good for gridded (bivariate and even multivariate) data.
Learn how to construct ppform splines.
Learn how to construct B-form splines.
Learn how to construct multivariate splines.
Learn how to construct rational splines.
Learn how to construct stform splines.
The construction of a least-squares approximant usually requires that one have in hand a basis for the space from which the data are to be approximated.
This section discusses these aspects of a nonlinear ODE problem:
This section discusses these aspects of the Chebyshev spline construction:
Because the toolbox can handle splines with vector coefficients, it is easy to implement interpolation or approximation to gridded data by tensor product splines, as the following illustration is meant to show.
Tools for interactive and programmatic spline fitting in Curve Fitting Toolbox™.
How Curve Fitting Toolbox extends the splines (or piecewise-polynomial functions) of MATLAB®.
Learn about the definitions of the ppform and B-form splines.
Learn about the definitions of the B-form and smoothing splines.
Learn how to construct multivariate and rational splines.
Learn about the definition of the ppform spline.
Learn about the definition of B-form splines.
Terms and definitions presented in order such that the explanation of each term only uses terms discussed earlier