Non-uniform rational basis spline (NURBS). More...

Inheritance diagram for vtb::geometry::Basis_spline< T, N >:

Public Types
using	point_type = Vertex< T, N >

using	element_type = Vertex< T, N+1 >

using	knot_type = T

using	weight_type = T

using	point_array = std::vector< point_type >

using	element_array = std::vector< element_type >

using	knot_array = std::vector< knot_type >

using	weight_array = std::vector< weight_type >

using	coefficient_array = std::vector< T >

using	scalar_type = T

using	value_type = element_type

using	reference = value_type &

using	const_reference = const value_type &

using	size_type = size_t

Public Member Functions
	Basis_spline (const Basis_spline &)=default

Basis_spline &	operator= (const Basis_spline &)=default

	Basis_spline (Basis_spline &&)=default

Basis_spline &	operator= (Basis_spline &&)=default

	Basis_spline (element_array elements, knot_array knots)

	Basis_spline (element_array elements, size_type degree=3)

	Basis_spline (point_array points, weight_array weights, knot_array knots)

	Basis_spline (point_array points, knot_array knots)

	Basis_spline (point_array points, weight_array weights, size_type degree=3)

	Basis_spline (point_array points, size_type degree=3)

size_type	degree () const

size_type	num_internal_knots () const

element_type	operator() (T x) const
	Uses de Boor's agorithm [deboor1977]. More...

coefficient_array	coefficients (T x) const

void	interpolate ()

size_type	size () const

size_type	num_points () const

size_type	num_knots () const

const knot_array &	knots () const

const element_array &	elements () const

void	range (T min, T max)

Static Public Member Functions
static knot_array	make_knots (size_type npoints, size_type degree)

static knot_array	make_cyclic_knots (size_type npoints, size_type degree)

static element_type	to_element (const point_type &p, T weight)

static point_type	to_point (const element_type &elem)

Detailed Description

Non-uniform rational basis spline (NURBS).

Definition at line 18 of file basis_spline.hh.

Member Function Documentation

template<class T , int N>

element_type vtb::geometry::Basis_spline< T, N >::operator() ( T x ) const

inline

Uses de Boor's agorithm [deboor1977].

See also: https://en.wikipedia.org/wiki/De_Boor%27s_algorithm; http://pages.mtu.edu/~shene/COURSES/cs3621/NOTES/spline/de-Boor.html

Definition at line 95 of file basis_spline.hh.