CGAL 5.1.5 - 3D Surface Mesh Generation
|
The concept ImplicitSurfaceTraits_3
describes the requirements of the traits class to be plugged as Traits
in CGAL::Implicit_surface_3<Traits, Function>
.
When make_surface_mesh
is called with a surface of type CGAL::Implicit_surface_3<Traits,Function>
, the surface mesher traits generator generates automatically a traits class that is a model of SurfaceMeshTraits_3
. Actually, the concept ImplicitSurfaceTraits_3
provides the types, predicates and constructors that are passed to the generated model of SurfaceMeshTraits_3
.
CGAL::Implicit_surface_3<Traits, Function>
CGAL::make_surface_mesh()
Types | |
typedef unspecified_type | FT |
The numerical type. More... | |
typedef unspecified_type | Point_3 |
The point type. More... | |
typedef unspecified_type | Line_3 |
The line type. | |
typedef unspecified_type | Ray_3 |
The ray type. | |
typedef unspecified_type | Segment_3 |
The segment type. | |
typedef unspecified_type | Vector_3 |
The vector type. | |
typedef unspecified_type | Sphere_3 |
The sphere type. | |
typedef unspecified_type | Compute_scalar_product_3 |
A function object providing the operator. More... | |
typedef unspecified_type | Compute_squared_distance_3 |
A function object providing the operator. More... | |
typedef unspecified_type | Compute_squared_radius_3 |
A function object providing the operator. More... | |
typedef unspecified_type | Construct_center_3 |
A function object providing the operator. More... | |
typedef unspecified_type | Construct_midpoint_3 |
A function object providing the operator. More... | |
typedef unspecified_type | Construct_point_on_3 |
A function object providing the following operators: More... | |
typedef unspecified_type | Construct_segment_3 |
A function object providing the operator. More... | |
typedef unspecified_type | Construct_scaled_vector_3 |
A function object providing the operator. More... | |
typedef unspecified_type | Construct_translated_point_3 |
A function object providing the operator. More... | |
typedef unspecified_type | Construct_vector_3 |
A function object providing the operator. More... | |
typedef unspecified_type | Has_on_bounded_side_3 |
A function object providing the operator. More... | |
Operations | |
The following functions give access to the predicate and construction objects: | |
Compute_scalar_product_3 | compute_scalar_product_3_object () |
Compute_squared_distance_3 | compute_squared_distance_3_object () |
Compute_squared_radius_3 | compute_squared_radius_3_object () |
Construct_center_3 | construct_center_3_object () |
Construct_midpoint_3 | construct_midpoint_3_object () |
Construct_point_on_3 | construct_point_on_3_object () |
Construct_scaled_vector_3 | construct_scaled_vector_3_object () |
Construct_segment_3 | construct_segment_3_object () |
Construct_translated_point_3 | construct_translated_point_3_object () |
Construct_vector_3 | construct_vector_3_object () |
Has_on_bounded_side_3 | has_on_bounded_side_3_object () |
A function object providing the operator.
FT operator()(Vector_3 v, Vector_3 w)
which returns the scalar (inner) product of the two vectors v
and w
.
A function object providing the operator.
FT operator()(Point_3, Point_3)
which returns the squared distance between two points.
A function object providing the operator.
FT operator()(const Sphere_3& s)
which returns the squared radius of s
.
A function object providing the operator.
Point_3 operator()(const Sphere_3& s)
which computes the center of the sphere s
.
A function object providing the operator.
Point_3 operator()(const Point_3& p, const Point_3& q)
which computes the midpoint of the segment pq
.
A function object providing the following operators:
Point_3 operator()(const Line_3& l,int i)
which returns an arbitrary point on l
. It holds point(i) == point(j)
, iff i==j
. Furthermore, is directed from point(i)
to point(j)
, for all i
\( <\) j
.
Point_3 operator()(const Ray_3& r,int i)
which returns a point on r
. point(0)
is the source, point(i)
, with \( i>0\), is different from the source.
Point_3 operator()(const Segment_3& s,int i)
which returns source or target of s
: point(0)
returns the source of s
, point(1)
returns the target of s
. The parameter i
is taken modulo 2, which gives easy access to the other end point.
A function object providing the operator.
Vector_3 operator()(const Vector_3 &v, const FT& scale)
which returns the vector v
scaled by a factor scale
.
A function object providing the operator.
Segment_3 operator()(const Point_3 &p, const Point_3 &q)
which returns a segment with source p
and target q
. It is directed from the source towards the target.
A function object providing the operator.
Point_3 operator()(const Point_3& p, const Vector_3& v)
which returns the point obtained by translating p
by the vector v
.
A function object providing the operator.
Vector_3 operator()(const Point_3 &a, const Point_3 &b)
which returns the vector b-a
.
The numerical type.
It must be model of FieldWithSqrt
and constructible from a double
.
A function object providing the operator.
bool operator()(const Sphere_3&s, const Point_3&p)
which returns true iff p
lies on the bounded side of s
.
The point type.
This point type must have a constructor Point_3(FT, FT, FT)
.