Learn more about Spline Toolbox

Function Reference

Alphabetical List

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GUIs Construction of Splines Operators Work with Breaks, Knots, and Sites Customized Linear Equation Solver Information About Splines and the Toolbox Utilities

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GUIs

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

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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 cubic spline curve
ppmak	Put together spline in ppform
rpmak, rsmak	Put together rational spline
rscvn	Piecewise biarc Hermite interpolation
spap2	Least-squares spline approximation
spapi	Spline interpolation
spaps	Smoothing spline
spcrv	Spline curve by uniform subdivision
spmak	Put together spline in B-form
stmak	Put together function in stform
tpaps	Thin-plate smoothing spline

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Operators

fn2fm	Convert to specified form
fnbrk	Name and part(s) of form
fnchg	Change part(s) of form
fncmb	Arithmetic with function(s)
fnder	Differentiate function
fndir	Directional derivative of function
fnint	Integrate function
fnjmp	Jumps, i.e., f(x+)-f(x-)
fnmin	Minimum of function in given interval
fnplt	Plot function
fnrfn	Refine partition of form
fntlr	Taylor coefficients or polynomial
fnval	Evaluate function
fnxtr	Extrapolate function
fnzeros	Find zeros of function in given interval

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Work with Breaks, Knots, and Sites

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

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Customized Linear Equation Solver

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

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Information About Splines and the Toolbox

bspline	B-spline and its polynomial pieces
spterms	Explanation of Spline Toolbox terms

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Utilities

franke	Franke's bivariate test function
spcol	B-spline collocation matrix
splpp, sprpp	Taylor coefficients from local B-coefficients
stcol	Scattered translates collocation matrix
subplus	Positive part
titanium	Titanium test data

Approximation by Tensor Product Splines

Functions – Alphabetical List

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