bezier.h File Reference

Bernstein-Bezier polynomial. More...

Go to the source code of this file.

Classes
class	Geom::Bezier
	Polynomial in Bernstein-Bezier basis. More...
struct	Geom::Bezier::Order

Namespaces
namespace	Geom
	Various utility functions.

Functions
template<typename T >
T	Geom::bernstein_value_at (double t, T const *c_, unsigned n)
	Compute the value of a Bernstein-Bezier polynomial.
template<typename T >
T	Geom::casteljau_subdivision (double t, T const *v, T *left, T *right, unsigned order)
	Perform Casteljau subdivision of a Bezier polynomial.
void	Geom::bezier_to_sbasis (SBasis &sb, Bezier const &bz)
	Changes the basis of p to be sbasis.
Bezier	Geom::operator* (Bezier const &f, Bezier const &g)
Bezier	Geom::multiply (Bezier const &f, Bezier const &g)
Bezier	Geom::reverse (const Bezier &a)
Bezier	Geom::portion (const Bezier &a, double from, double to)
std::vector< Point >	Geom::bezier_points (const D2< Bezier > &a)
Bezier	Geom::derivative (Bezier const &a)
Bezier	Geom::integral (Bezier const &a)
OptInterval	Geom::bounds_fast (Bezier const &b)
OptInterval	Geom::bounds_exact (Bezier const &b)
OptInterval	Geom::bounds_local (Bezier const &b, OptInterval const &i)
void	Geom::bezier_expand_to_image (Interval &range, Coord x0, Coord x1, Coord x2)
	Expand an interval to the image of a Bézier-Bernstein polynomial, assuming it already contains the initial point x0.
void	Geom::bezier_expand_to_image (Interval &range, Coord x0, Coord x1, Coord x2, Coord x3)
std::ostream &	Geom::operator<< (std::ostream &os, const Bezier &b)

Detailed Description

Bernstein-Bezier polynomial.

Definition in file bezier.h.