CGAL 6.0 - 3D Isosurfacing
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IsosurfacingTraits_3 Concept Reference

Definition

Refines
DefaultConstructible
Assignable

The concept IsosurfacingTraits_3 describes the set of requirements to be fulfilled by the traits class of a model of IsosurfacingDomain_3.

Has models
All models of the concept Kernel

Types

typedef unspecified_type FT
 The scalar type.
 
typedef unspecified_type Point_3
 The 3D point type.
 
typedef unspecified_type Vector_3
 The 3D vector type.
 
typedef unspecified_type IsoCuboid_3
 The 3D cuboid type.
 
typedef unspecified_type Compute_x_3
 A construction object that must provide the function operators:
 
typedef unspecified_type Compute_y_3
 A construction object that must provide the function operators:
 
typedef unspecified_type Compute_z_3
 A construction object that must provide the function operators:
 
typedef unspecified_type Construct_point_3
 A construction object that must provide the function operator:
 
typedef unspecified_type Construct_vector_3
 A construction object that must provide the function operator:
 
typedef unspecified_type Construct_iso_cuboid_3
 A construction object that must provide the function operator:
 
typedef unspecified_type Construct_vertex_3
 A construction object that must provide the function operator:
 

Operations

The following functions give access to the predicate and construction objects:

Compute_x_3 compute_x_3_object ()
 
Compute_y_3 compute_y_3_object ()
 
Compute_z_3 compute_z_3_object ()
 
Construct_point_3 construct_point_3_object ()
 
Construct_vector_3 construct_vector_3_object ()
 
Construct_iso_cuboid_3 construct_iso_cuboid_3_object ()
 
Construct_vertex_3 construct_vertex_3_object ()
 

Member Typedef Documentation

◆ Compute_x_3

A construction object that must provide the function operators:

FT operator()(Point_3 p)

and

FT operator()(Vector_3 p)

which return the \( x\)-coordinate of the point and the vector, respectively.

◆ Compute_y_3

A construction object that must provide the function operators:

FT operator()(Point_3 p)

and

FT operator()(Vector_3 p)

which return the \( y\)-coordinate of the point and the vector, respectively.

◆ Compute_z_3

A construction object that must provide the function operators:

FT operator()(Point_3 p)

and

FT operator()(Vector_3 p)

which return the \( z\)-coordinate of the point and the vector, respectively.

◆ Construct_iso_cuboid_3

A construction object that must provide the function operator:

IsoCuboid_3 operator()(Point_3 p, Point_3 q)

which constructs an iso-oriented cuboid with diagonal opposite vertices p and q such that p is the lexicographically smallest point in the cuboid.

◆ Construct_point_3

A construction object that must provide the function operator:

Point_3 operator()(FT x, FT y, FT z)

which constructs a 3D point from its three coordinates.

◆ Construct_vector_3

A construction object that must provide the function operator:

Vector_3 operator()(FT x, FT y, FT z)

which constructs a 3D vector from its three coordinates.

◆ Construct_vertex_3

A construction object that must provide the function operator:

Point_3 operator()(IsoCuboid_3 c, int i)

which returns the i-th vertex of an iso-cuboid c. See Kernel::ConstructVertex_3 for the order of vertices.

◆ FT

The scalar type.

Must be a model of FieldNumberType.

◆ IsoCuboid_3

The 3D cuboid type.

Must be a model of Kernel::IsoCuboid_3

◆ Point_3

The 3D point type.

Must be a model of Kernel::Point_3.

◆ Vector_3

The 3D vector type.

Must be a model of Kernel::Vector_3.