#include <CGAL/Alpha_shape_cell_base_3.h>

Definition

The class Alpha_status is a small data structure to store the critical alpha values of faces of an alpha shape.

Each face has three critical alpha values, called alpha_min, alpha_mid and alpha_max in increasing order. The face will be exterior for any $\alpha <$ alpha_min, singular for alpha_min $\leq \alpha <$ alpha_mid, regular for alpha_mid $\leq \alpha <$ alpha_max and interior for alpha_max $\leq \alpha$ . The value alpha_min is undefined for faces which are not Gabriel faces and therefore do not appear in the alpha complex without any of their including face. The value alpha_max is undefined for convex hull faces which can never be interior. The data structure also includes two Boolean to mark if the face is a Gabriel face or a convex hull face.

The class Alpha_status is parameterized by a number type NT.

See also: AlphaShapeCell_3; AlphaShapeVertex_3

Creation
	Alpha_status ()
	default constructor.

Modifiers
void	set_is_Gabriel (bool yesorno)
	sets Gabriel marker.

void	set_is_on_chull (bool yesorno)
	sets convex hull marker.

void	set_alpha_min (NT alpha)
	sets `alpha_min`.

void	set_alpha_mid (NT alpha)
	sets `alpha_mid`.

void	set_alpha_max (NT alpha)
	sets `alpha_max`.

Access Functions
bool	is_Gabriel () const
	returns `true` for Gabriel faces.

bool	is_on_chull () const
	returns `true` for convex hull faces.

NT	alpha_min () const
	returns the `alpha_min`. More...

NT	alpha_mid () const
	returns `alpha_mid`.

NT	alpha_max () const
	returns `alpha_max`. More...

Member Function Documentation

◆ alpha_max()

template<typename NT >

NT CGAL::Alpha_status< NT >::alpha_max ( ) const

returns alpha_max.

Precondition: is_on_chull() returns false.

◆ alpha_min()

template<typename NT >

NT CGAL::Alpha_status< NT >::alpha_min ( ) const

returns the alpha_min.

Precondition: is_Gabriel() returns false.

Definition

Creation

Modifiers

Access Functions

Member Function Documentation

◆ alpha_max()

◆ alpha_min()