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Index
- 1-column matrix
- 1-row matrix
- almost block-diagonal <1> <2> <3> <4>
- appropriate knot sequence <1> <2>
aptknt
augknt <1> <2> <3> <4> <5> <6> <7> <8>
- augmented knot sequence
aveknt <1> <2> <3> <4>
- B in B-spline
- banded <1> <2>
- basic interval <1> <2> <3> <4> <5> <6> <7> <8> <9> <10> <11> <12> <13>
- for the B-form
- for the pp-form <1> <2>
- of a pp <1> <2>
- of a spline <1> <2>
- basis
- bell-shaped
- best interpolant
- B-form <1> <2> <3> <4> <5>
- bias
- bicubic spline <1> <2>
- bivariate
bkbrk <1> <2>
- boundary layer
- break <1> <2> <3> <4>
- interior
- break sequence <1> <2> <3>
- breaks <1> <2>
- breaks vs knots <1> <2>
- B-representation
brk2knt
bspligui
- B-spline <1> <2> <3> <4> <5> <6>
- coefficients
- in CAGD
- normalized
- of order k
- some sample figures
- support of
bspline <1> <2>
- CAGD
- center of a shifted power form
- centripetal
chbpnt
chebdem
- Chebyshev polynomial
- Chebyshev spline
- circle, spline approximation to
- clamped end condition
- collocation <1> <2>
- matrix <1> <2> <3>
- column-vector
- composing function with a matrix
- constructive approach to splines
- control point <1> <2>
- control polygon <1> <2> <3>
- conventions in our documentation (table)
- conversion <1> <2>
- coordinates with respect to a basis
csape 2-18
csapi <1> <2>
csaps
cscvn <1> <2>
- cubic <1> <2> <3> <4> <5> <6> <7> <8> <9> <10> <11> <12>
- Hermite
- smoothing spline
- spline
- Curry-Schoenberg Theorem
- curvature
- curve <1> <2> <3> <4> <5> <6> <7> <8> <9> <10>
- data point
- multiplicity <1> <2>
- data site
- data value
- degrees of freedom
- derivative of a rational spline
- differential equation <1> <2>
- differentiation <1> <2>
- discrete
- in the pp sense
- dimension
- discrete
- differentiation
- least-squares approximation
- domain of a function
- draftsman's spline
- dual functional <1> <2>
- d-vector
- end conditions
- clamped
- complete
- curved
- Lagrange
- natural
- not-a-knot
- other
- variational <1> <2>
- equidistribute
- error measure <1> <2> <3> <4>
- error weight
- evaluation <1> <2> <3>
- of tensor product spline
- extension beyond basic interval <1> <2>
fn2fm <1> <2>
fnbrk <1> <2> <3>
fncmb <1> <2> <3> <4>
fnder <1> <2> <3> <4>
fndir
fnint <1> <2> <3> <4>
fnjmp
fnplt <1> <2> <3> <4> <5> <6> <7> <8>
fnrfn <1> <2>
fntlr
fnval <1> <2> <3> <4> <5> <6>
franke
- Franke function <1> <2>
- function
- functional
- dual
- Gauss points
getcurve
- good interpolation sites <1> <2>
- graphic accuracy
- Greville site
- gridded data <1> <2> <3>
- Hermite
- cubics
- Hermite interpolation
- implicit
- integral
- definite
- indefinite
- integral equation
- integration
- interior break <1> <2>
- interior knot
- interpolate
- interpolation <1> <2> <3> <4> <5> <6>
- Hermite <1> <2>
- interpolation points, good
- jump <1> <2> <3> <4>
- in derivative
- knot
- average <1> <2>
- insertion <1> <2> <3>
- interior
- multiplicity
- at endpoints <1> <2>
- sequence <1> <2> <3> <4>
- appropriate
- improved
- simple <1> <2> <3>
- knots vs breaks <1> <2>
knt2brk
knt2mlt
- Lagrange end condition
- least-squares <1> <2>
- least-squares approximation <1> <2>
- discrete <1> <2>
- limit from the left <1> <2> <3>
- limit from the right
- linear combination of functions
- linear dependence
- linear operations
- linear space
- local polynomial coefficients
- local power form <1> <2> <3>
- matrix
- banded
mesh
meshgrid
- minimize
- Moebius
- multiplicity <1> <2> <3> <4> <5>
- of a data point
- of a knot <1> <2>
- smoothness conditions
- multivariate <1> <2> <3> <4> <5> <6>
- m-variate
- Naming conventions
- natural <1> <2> <3>
- nested multiplication
newknt <1> <2>
- Newton's method <1> <2>
- noise
- noisy
- nonlinear system <1> <2>
- normalized B-spline
- not-a-knot <1> <2>
- not-a-knot end condition <1> <2> <3> <4>
- NURBS
- of a pp-form
- of the pp-form
- optimal interpolation <1> <2>
optknt
- order
- of a polynomial
- of a pp
- of a spline
- osculatory
- parabolic
- parabolic spline
- parametric <1> <2>
- parametrization
- parametrization, chord-length
- parametrized <1> <2>
- perfect spline
- periodic
- PGS
- piecewise-polynomial <1> <2>
- placeholder notation
- plotting <1> <2>
- polygon
polyval
- power form
- pp
ppbrk <1> <2>
- ppform <1> <2> <3> <4> <5> <6> <7>
- of a B-spline
ppmak <1> <2> <3>
- pp-representation
- QR factorization <1> <2> <3>
- quadratic convergence
- quartic
- range of a function
- rational spline <1> <2> <3>
- rBform
- recovery scheme
- recurrence relation <1> <2> <3>
- Remez algorithm
- restriction to an interval
- roughness measure <1> <2> <3> <4>
- roughness weight
- row-vector
- rpform
rpmak
rsmak
- scalar-valued
- scaling of a function
- Schoenberg
- Schoenberg-Whitney
- conditions <1> <2> <3> <4>
- theorem <1> <2>
- secant method
- shifted power form
- side conditions
- simple knot <1> <2> <3> <4>
- site
slvblk <1> <2> <3> <4> <5> <6> <7>
- smoothing
- smoothing parameter <1> <2> <3> <4>
- smoothing spline
- smoothness
- across breaks
- across knot
- condition <1> <2> <3>
- multiplicity of
sort
sorted
sp2pp <1> <2> <3>
spap2 <1> <2> <3> <4> <5> <6>
spapi <1> <2> <3> <4>
spaps
sparse
- sparse matrix
spbrk <1> <2> <3> <4> <5> <6> <7> <8>
spcol <1> <2> <3> <4> <5> <6> <7> <8> <9>
spcrv <1> <2>
- sphere <1> <2> <3>
- spline <1> <2> <3>
- draftsman's
- spline approximation to a circle
splinetool
splpp
spmak <1> <2> <3> <4> <5> <6> <7> <8> <9>
sprpp
- staircase shape
- subdivision
- support of a B-spline
- surface <1> <2>
- target
- Taylor series
- tensor product <1> <2> <3> <4> <5> <6> <7>
- trivariate
- truncated
tspdem
- uniform knot sequence <1> <2>
- uniform mesh
- unimodal
- unique spline
- uniqueness of B-form
- unit circle
- univariate
- value outside basic interval
- variational
- approach to splines
- vector <1> <2> <3>
- curve
- is always a column matrix
- scaling
- -valued <1> <2> <3> <4>
- splines
- weight
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