SkinSurfaceTraits_3 Concept Reference

Definition

Required types and member functions for the SkinSurfaceTraits_3 concept. This geometric traits concept is used for the construction of a polyhedral mesh approximating a skin surface CGAL::Skin_surface_3.

Refines

RegularTriangulationTraits_3

Has models

CGAL::Skin_surface_traits_3<K>

See also

CGAL::Skin_surface_3<SkinSurfaceTraits_3>

CGAL::Skin_surface_traits_3<K>

Types
typedef unspecified_type	RT
	The number type.
typedef unspecified_type	Construct_anchor_point_3
	A constructor object which provides the following function operator:

Creation
	SkinSurfaceTraits_3 (RT s=.5)
	Constructor that takes the shrink factor as argument.

Operations
The following functions give access to the constructor objects:
Regular_RT	shrink_factor () const
	Returns the shrink factor.
Construct_anchor_point_3	construct_anchor_point_3_object () const
	Returns a Construct_anchor_point_3 object.

Member Typedef Documentation

Construct_anchor_point_3

typedef unspecified_type SkinSurfaceTraits_3::Construct_anchor_point_3

A constructor object which provides the following function operator:

Point operator()(const Point &center_del, const Point &center_vor);

Constructs the anchor point in between the Delaunay and Voronoi centers, i.e., the point \( (1-s)\cdot\)center_del + \( s\cdot\)center_vor, where \( s\) is the shrink factor.

Constructor & Destructor Documentation

SkinSurfaceTraits_3()

SkinSurfaceTraits_3::SkinSurfaceTraits_3

(

RT

s = .5

)

Constructor that takes the shrink factor as argument.

For meshing the boundary of the union of a set of balls, the shrink factor is discarded.