bspline Namespace Reference

Functions
template<typename FLT>
FLT	ratio (const FLT num, const FLT denom)
template<typename INT, typename FLT, typename ITERATOR>
FLT	onebasisfun (FLT const u, INT const p, ITERATOR const Ubegin, ITERATOR const Uend)
	function to compute the value of a BSpline basis function at a given point.
template<typename INT, typename FLT, typename ITERATOR>
FLT	onebasisfunder (FLT u, INT p, ITERATOR Ubegin, ITERATOR Uend)
	function to compute the derivative of a BSpline basis function.
template<typename INT, typename ITERATOR, typename FLT = double>
std::vector< FLT >	open_knot_vector (ITERATOR const bb, ITERATOR const be, INT const p, INT const r)
	create an uniform open knot vector given the list
template<typename INT, typename FLT, typename ITERATOR>
FLT	onebasisfun2d (FLT const u, FLT const v, INT const pu, INT const pv, ITERATOR const Ubegin, ITERATOR const Uend, ITERATOR const Vbegin, ITERATOR const Vend)

Function Documentation

onebasisfun()

template<typename INT, typename FLT, typename ITERATOR>

FLT bspline::onebasisfun	(	FLT const	u,
		INT const	p,
		ITERATOR const	Ubegin,
		ITERATOR const	Uend )

function to compute the value of a BSpline basis function at a given point.

Parameters

u	point where the derivative is to be evaluated.
p	basis function degree.
Ubegin	iterator to the beginning of the local knot vector.
Uend	iterator past the end of the local knot vector.

onebasisfun2d()

template<typename INT, typename FLT, typename ITERATOR>

FLT bspline::onebasisfun2d	(	FLT const	u,
		FLT const	v,
		INT const	pu,
		INT const	pv,
		ITERATOR const	Ubegin,
		ITERATOR const	Uend,
		ITERATOR const	Vbegin,
		ITERATOR const	Vend )

onebasisfunder()

template<typename INT, typename FLT, typename ITERATOR>

FLT bspline::onebasisfunder	(	FLT	u,
		INT	p,
		ITERATOR	Ubegin,
		ITERATOR	Uend )

function to compute the derivative of a BSpline basis function.

Todo

make shure that evaluation at the endopoints works correctly.

Parameters

u	point where the derivative is to be evaluated.
p	basis function degree.
Ubegin	iterator to the beginning of the local knot vector.
Uend	iterator past the end of the local knot vector.

open_knot_vector()

template<typename INT, typename ITERATOR, typename FLT = double>

std::vector< FLT > bspline::open_knot_vector	(	ITERATOR const	bb,
		ITERATOR const	be,
		INT const	p,
		INT const	r )

create an uniform open knot vector given the list

of breaks, a (scalar) degree p and a (scalar) regularity r.

Parameters

bb	begin of list of breaks.
be	end of list of breaks.
p	basis function degree.
r	basis functions regularity.

Returns

k knoct vector.

ratio()

template<typename FLT>

FLT bspline::ratio	(	const FLT	num,
		const FLT	denom )