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CGAL 5.1 - 3D Surface Mesh Generation
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CGAL 5.1 - 3D Surface Mesh Generation
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#include <Concepts/ImplicitSurfaceTraits_3.h>
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. More... | |
| typedef unspecified_type | Ray_3 |
| The ray type. More... | |
| typedef unspecified_type | Segment_3 |
| The segment type. More... | |
| typedef unspecified_type | Vector_3 |
| The vector type. More... | |
| typedef unspecified_type | Sphere_3 |
| The sphere type. More... | |
| 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 () |
| typedef unspecified_type ImplicitSurfaceTraits_3::Compute_scalar_product_3 |
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.
| typedef unspecified_type ImplicitSurfaceTraits_3::Compute_squared_distance_3 |
A function object providing the operator.
FT operator()(Point_3, Point_3) which returns the squared distance between two points.
| typedef unspecified_type ImplicitSurfaceTraits_3::Compute_squared_radius_3 |
A function object providing the operator.
FT operator()(const Sphere_3& s) which returns the squared radius of s.
| typedef unspecified_type ImplicitSurfaceTraits_3::Construct_center_3 |
A function object providing the operator.
Point_3 operator()(const Sphere_3& s) which computes the center of the sphere s.
| typedef unspecified_type ImplicitSurfaceTraits_3::Construct_midpoint_3 |
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.
| typedef unspecified_type ImplicitSurfaceTraits_3::Construct_point_on_3 |
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.
| typedef unspecified_type ImplicitSurfaceTraits_3::Construct_scaled_vector_3 |
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.
| typedef unspecified_type ImplicitSurfaceTraits_3::Construct_segment_3 |
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.
| typedef unspecified_type ImplicitSurfaceTraits_3::Construct_translated_point_3 |
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.
| typedef unspecified_type ImplicitSurfaceTraits_3::Construct_vector_3 |
A function object providing the operator.
Vector_3 operator()(const Point_3 &a, const Point_3 &b) which returns the vector b-a.
| typedef unspecified_type ImplicitSurfaceTraits_3::FT |
The numerical type.
It must be model of FieldWithSqrt and constructible from a double.
| typedef unspecified_type ImplicitSurfaceTraits_3::Has_on_bounded_side_3 |
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.
| typedef unspecified_type ImplicitSurfaceTraits_3::Line_3 |
The line type.
| typedef unspecified_type ImplicitSurfaceTraits_3::Point_3 |
The point type.
This point type must have a constructor Point_3(FT, FT, FT).
| typedef unspecified_type ImplicitSurfaceTraits_3::Ray_3 |
The ray type.
| typedef unspecified_type ImplicitSurfaceTraits_3::Segment_3 |
The segment type.
| typedef unspecified_type ImplicitSurfaceTraits_3::Sphere_3 |
The sphere type.
| typedef unspecified_type ImplicitSurfaceTraits_3::Vector_3 |
The vector type.
| Compute_scalar_product_3 ImplicitSurfaceTraits_3::compute_scalar_product_3_object | ( | ) |
| Compute_squared_distance_3 ImplicitSurfaceTraits_3::compute_squared_distance_3_object | ( | ) |
| Compute_squared_radius_3 ImplicitSurfaceTraits_3::compute_squared_radius_3_object | ( | ) |
| Construct_center_3 ImplicitSurfaceTraits_3::construct_center_3_object | ( | ) |
| Construct_midpoint_3 ImplicitSurfaceTraits_3::construct_midpoint_3_object | ( | ) |
| Construct_point_on_3 ImplicitSurfaceTraits_3::construct_point_on_3_object | ( | ) |
| Construct_scaled_vector_3 ImplicitSurfaceTraits_3::construct_scaled_vector_3_object | ( | ) |
| Construct_segment_3 ImplicitSurfaceTraits_3::construct_segment_3_object | ( | ) |
| Construct_translated_point_3 ImplicitSurfaceTraits_3::construct_translated_point_3_object | ( | ) |
| Construct_vector_3 ImplicitSurfaceTraits_3::construct_vector_3_object | ( | ) |
| Has_on_bounded_side_3 ImplicitSurfaceTraits_3::has_on_bounded_side_3_object | ( | ) |
1.8.17