1-column matrix
1-row matrix
almost block-diagonal
collocation matrix
in spcol
linear system
use
appropriate knot sequence
aptknt
augknt
use <1> <2> <3> <4> <5> <6> <7>
augmented knot sequence
aveknt
use <1> <2>
B in B-spline
banded <1> <2>
banded linear system
basic interval
as set in ppmak
cautionary note <1> <2>
extension outside
for the B-form
for the pp-form
of B-form
outside of
use
use in
fnder
fnint
fnjmp
fnmin
newknt
basis
basis function
(overview)
in stform
of thin-plate spline
in stcol
in stmak
BBform
bell-shaped
best interpolant
Bézier
B-form
conversion to ppform
discussion of
in spmak
introduction to
smoothness conditions
vs ppform
bias
bicubic spline example <1> <2>
bivariate
bkbrk
in spcol
boundary layer
break
example
in ppform
interior
use
vs knot
break sequence
example <1> <2>
in ppform
breaks
breaks (Glossary)
breaks vs knots
conversion
B-representation
brk2knt
bspligui
B-spline
(Glossary)
coefficients
example <1> <2>
in CAGD
in spcol
in spcrv
normalized
of order k
some sample figures
support of
via bspline
bspline
use
CAGD
center
of a shifted power form
of an stform
centers
centripetal
chbpnt
chebdem
Chebyshev polynomial
Chebyshev spline
circle, spline approximation to
clamped end condition
collocation
in spcol
matrix
constructed in spcol
use in spapi
use
collocation matrix
in stcol
column-vector
composing function with a matrix
constructive approach to splines
control point
example
of a spline curve
control polygon
example
of a spline
use
conversion
B-form to ppform
via splpp,sprpp
coordinates with respect to a basis
csape
csapi
example
use
csaps
cscvn
in getcurve
cubic
B-spline
example
Hermite
smoothing spline
spline
example
cubic means order 4
cubic smoothing spline
via csaps
cubic spline
via spap2
via spapi
cubic spline curve
via cscvn
cubic spline interpolation
via csapi
Curry-Schoenberg Theorem
curvature
curve
plotted via fnplt
via spmak
vs function
data point
multiplicity
in sorted
in spapi
data site
data value
degrees of freedom
derivative
of a rational spline
differential equation
non-standard
solved with splines
differentiation
discrete
in the pp sense
of B-form
via fnder
dimension
discrete
differentiation
least-squares approximation
domain of a function
draftsman's spline
dual functional
use in fn2fm
d-vector
end
break
knot
end conditions
clamped
complete
curved
Lagrange
natural
not-a-knot
other
variational <1> <2>
equidistribute
error measure
(Glossary)
in csaps
in spaps
in splinetool
in tpaps
error weight
evaluation
of tensor product spline
simultaneous
via fnval
extension beyond basic interval
B-form
cautionary note
ppform
fn2fm
fnbrk
use <1> <2> <3>
fncmb
use <1> <2> <3>
fnder
use <1> <2>
fndir
fnint
vs fnder
fnjmp
fnmin
fnplt
use <1> <2> <3> <4>
vs spcrv
fnrfn
fntlr
fnval
use <1> <2> <3> <4>
fnzeros
franke
Franke function
picture
function
vs curve
functional
dual
Gauss points
getcurve
good interpolation sites
from chbpnt
from Chebyshev spline
via aveknt
graphic accuracy
Greville site
gridded data
example <1> <2>
smoothing
Hermite
cubics
Hermite interpolation
implicit
integral
definite
indefinite
integral equation
integration
interior
break
knot
interpolant
variational
via csaps
via spaps
interpolation
by thin-plate spline
Hermite <1> <2>
optimal
via cscvn
via spapi
via spaps
interpolation points, good
interval notation (glossary)
jump
allow for
ignored in fnder
in derivative
knot
average
use
via aveknt
insertion
used in fn2fm
used in spcrv
used in splpp
interior
multiplicity
at endpoints
multiplicity vs smoothness
sequence
appropriate
improved
in B-form
in spcol
of a spline (glossary)
optimal
simple (glossary)
knots vs breaks
conversion
knt2brk
knt2mlt
Lagrange end condition
least-squares
approximation
(glossary)
discrete
via spap2
in csaps
in spaps
limit from the left
in splpp
via fnval
limit from the right
linear
combination of functions
dependence
operations
space
local
polynomial coefficients
power form
(glossary)
in ppform
matrix
banded
maximum
via fnmin
mesh
meshgrid
minimize
minimum
via fnmin
Mobius
multiplicity
in a sequence
of a data point
of a knot <1> <2>
of smoothness conditions
vs smoothness
example
in bspligui
multivariate
example
in fnval
overview
tensor product
vs univariate
m-variate
naming conventions
natural
(glossary)
in csaps
in cscvn
nested multiplication
newknt
use
Newton's method
example
in optknt
noise
noisy
nonlinear system
example
in optknt
normalized B-spline
not-a-knot end condition
in csape
in csapi
NURBS
optimal
interpolation
knot sequence
optknt
order
of a polynomial
of a pp
of a spline
of ppform
osculatory
parabolic
curve
example
spline
parametric
bicubic spline
cubic spline curve
parametrization
chord-length
parametrized
perfect spline
periodic
PGS
piecewise cubic
example
piecewise-polynomial
(Glossary)
in ppform
placeholder notation
plotting
polygon
polynomial part of stform
polyval
power form
pp
ppform
(overview)
conversion from B-form
from fncmb
from spline
introduction to
of a B-spline
via ppmak
vs B-form
ppmak
pp-representation
QR factorization
in spap2
in spapi
use in slvblk
quadratic convergence
quartic
radial basis function <1> <2>
range of a function
rational spline
(glossary)
from rpmak,rspmak
RBF
rBform
recovery scheme
recurrence relation
for B-splines
use in fnval
use in spcol
Remez algorithm
restriction to an interval
roughness measure
(glossary)
in csaps
in spaps
in splinetool
in tpaps
roughness weight
row-vector
rpform
rpmak
rsmak
scalar-valued vs vector-valued
scaling of a function
scattered
data
in tpaps
translates
Schoenberg <1> <2>
Schoenberg-Whitney
conditions
(glossary)
in optknot
in spap2
in spapi
theorem
(glossary)
(overview)
secant method
shifted power form
side conditions
simple knot
site
slvblk
in spap2
in spapi
smoothing
parameter
(glossary)
(overview)
in csaps
in spaps
in tpaps
spline
smoothness
across breaks
across knot
condition
enforced
guaranteed
in B-form
multiplicity of
sort
sorted
spap2
use <1> <2> <3> <4> <5>
spapi
use <1> <2> <3>
spaps
sparse
matrix
sparse
spcol
in spap2
in spapi
use <1> <2> <3> <4> <5> <6>
spcrv
vs fnplt
sphere
via csape
via rsmak
spline
approximation to a circle
curve
example
via cscvn
via spapi
via spcrv
draftsman's
naming of
specified
splinetool
splpp
spmak
use <1> <2> <3> <4> <5> <6> <7>
sprpp
staircase shape
stcol
stform
from stmak
stmak
subdivision
support of a B-spline
surface
target of a function
Taylor
polynomial
example
via fntlr
series
tensor product <1> <2>
(glossary)
example
polynomial
thin-plate spline
(glossary)
tpaps
trivariate
truncated
tspdem
typographical conventions (table)
uniform
knot sequence
mesh
unimodal
unique spline
uniqueness of B-form
unit circle
univariate vs multivariate
value outside basic interval
variational
approach to splines
interpolant
via csaps
via spaps
vector
curve
in this toolbox
is always a column matrix
-valued
example
in spmak
splines
vs scalar-valued
weight