\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.4 - 3D Polyhedral Surface
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PolyhedronTraits_3 Concept Reference
Concepts

Definition

Required types and member functions for the PolyhedronTraits_3 concept. This geometric traits concept is used in the polyhedral surface data structure CGAL::Polyhedron_3<Traits>. Any CGAL kernel is a model of this concept and can be used directly as template argument.

Refines:

CopyConstructible

Assignable

Has Models:

CGAL::Polyhedron_traits_3<Kernel>

CGAL::Polyhedron_traits_with_normals_3<Kernel>

All models of the CGAL::Kernel concept, e.g., CGAL::Simple_cartesian<FieldNumberType>

See Also
CGAL::Polyhedron_3<Traits>

Types

typedef unspecified_type Point_3
 point type. More...
 
typedef unspecified_type Plane_3
 plane equation. More...
 
typedef unspecified_type Construct_opposite_plane_3
 is an unary function object that reverses the plane orientation. More...
 

Creation

 PolyhedronTraits_3 (const PolyhedronTraits_3 &traits2)
 copy constructor. More...
 
PolyhedronTraits_3 & operator= (const PolyhedronTraits_3 &traits2)
 assignment. More...
 

Operations

Construct_opposite_plane_3 construct_opposite_plane_3_object ()
 returns an instance of this function object. More...
 

Member Typedef Documentation

typedef unspecified_type PolyhedronTraits_3::Construct_opposite_plane_3

is an unary function object that reverses the plane orientation.

Must provide Plane_3 operator()(Plane_3 plane) that returns the reversed plane. Required only if plane equations are supported and the inside_out() method is used to reverse the polyhedral surface orientation.

typedef unspecified_type PolyhedronTraits_3::Plane_3

plane equation.

Even if plane equations are not supported with a particular polyhedral surface this type has to be defined (some dummy type).

typedef unspecified_type PolyhedronTraits_3::Point_3

point type.

Constructor & Destructor Documentation

PolyhedronTraits_3::PolyhedronTraits_3 ( const PolyhedronTraits_3 &  traits2)

copy constructor.

Member Function Documentation

Construct_opposite_plane_3 PolyhedronTraits_3::construct_opposite_plane_3_object ( )

returns an instance of this function object.

PolyhedronTraits_3& PolyhedronTraits_3::operator= ( const PolyhedronTraits_3 &  traits2)

assignment.