Spline Toolbox

GUIs

bspligui	Experiment with a B-spline as function of its knots
splinetool	Experiment with some spline approximation methods

Construction of Splines

csape	Cubic spline interpolation with end conditions
csapi	Cubic spline interpolation
csaps	Cubic smoothing spline
cscvn	`Natural' or periodic interpolating cubic spline curve
getcurve	Interactive creation of a cubic spline curve
ppmak	Put together a spline in ppform
rpmak	Put together a rational spline in rpform
rsmak	Put together a rational spline in rBform
spapi	Spline interpolation
spaps	Smoothing spline
spap2	Least-squares spline approximation
spcrv	Spline curve by uniform subdivision
spmak	Put together a spline in B-form
stmak	Put together a function in stform
tpaps	Thin-plate smoothing spline

Operators

fnbrk	Name and part(s) of a form
fnchg	Change part of a form
fncmb	Arithmetic with function(s)
fnder	Differentiate a function
fndir	Directional derivative of a function
fnint	Integrate a function
fnjmp	Jumps, i.e., f(x+) - f(x-)
fnmin	Minimum value of a function
fnplt	Plot a function
fnrfn	Insert additional points into the partition of a form
fntlr	Taylor coefficients or polynomial
fnval	Evaluate a function
fnzeros	Zeros of a function
fn2fm	Convert to specified form

Work with Breaks, Knots, and Sites

aptknt	Acceptable knot sequence
augknt	Augment a knot sequence
aveknt	Provide knot averages
brk2knt	Breaks with multiplicities into knots
chbpnt	Good data sites, the Chebyshev-Demko points
knt2brk	From knots to breaks and their multiplicities
knt2mlt	Knot multiplicities
newknt	New break distribution
optknt	Knot distribution `optimal' for interpolation
sorted	Locate sites with respect to meshsites

Customized Linear Equation Solver

bkbrk	Part(s) of an almost block-diagonal matrix
slvblk	Solve almost block diagonal linear system

Information About Splines and the Toolbox

(spterms)

Explanation of spline toolbox terms

Demonstrations

(spldems)	List of demonstrations
(splexmpl)	Some simple examples
(ppalldem)	Introduction to ppform
(spalldem)	Introduction to B-form
bspline	Display a B-spline and its polynomial pieces
(bsplidem)	Some B-splines
(csapidem)	Cubic spline interpolation
(spapidem)	Spline interpolation
(getcurv2)	Generate a curve
(histodem)	Smoothing a histogram
(csapsdem)	Cubic smoothing spline
(pckkntdm)	Knot choices
(spcrvdem)	Spline curve construction
(difeqdem)	A singularly perturbed ODE
(chebdem)	An equi-oscillating spline
(tspdem)	Tensor products

Note    These demos are accessible from the Demos tab in the Help browser. To run them from the command line, type playshow followed by the demo name.

Utilities

(franke)	Franke's bivariate test function.
(subplus)	Positive part
(titanium)	Titanium heat data
(chckxypw)	Check and adjust input for *ap* commands
spcol	B-spline collocation matrix
splpp	Convert left of 0 from B-form to ppform
sprpp	Convert right of 0 from B-form to ppform
stcol	Scattered translates collocation matrix

Functions - By Category

Functions - Alphabetical List