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CGAL 5.5.1 - 3D Fast Intersection and Distance Computation (AABB Tree)
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CGAL 5.5.1 - 3D Fast Intersection and Distance Computation (AABB Tree)
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The concept AABBGeomTraits defines the requirements for the first template parameter of the class CGAL::AABB_traits<AABBGeomTraits, AABBPrimitive>. It provides predicates and constructors to detect and compute intersections between query objects and the primitives stored in the AABB tree. In addition, it contains predicates and constructors to compute distances between a point query and the primitives stored in the AABB tree.
KernelTypes | |
| typedef unspecified_type | Do_intersect_3 |
| A functor object to detect intersections between two geometric objects. More... | |
| typedef unspecified_type | Intersect_3 |
| A functor object to construct the intersection between two geometric objects. More... | |
| typedef unspecified_type | Construct_sphere_3 |
| A functor object to construct the sphere centered at one point and passing through another one. More... | |
| typedef unspecified_type | Construct_projected_point_3 |
| A functor object to compute the point on a geometric primitive which is closest from a query. More... | |
| typedef unspecified_type | Compare_distance_3 |
| A functor object to compare the distance of two points wrt a third one. More... | |
| typedef unspecified_type | Compute_squared_radius_3 |
| A functor object to compute the squared radius of a sphere. More... | |
| typedef unspecified_type | Compute_squared_distance_3 |
| A functor object to compute the squared distance between two points. More... | |
| typedef unspecified_type | Less_x_3 |
| A functor object to compare the x-coordinates of two points. More... | |
| typedef unspecified_type | Less_y_3 |
| A functor object to compare the y-coordinates of two points. More... | |
| typedef unspecified_type | Less_z_3 |
| A functor object to compare the z-coordinates of two points. More... | |
| typedef unspecified_type | Equal_3 |
| A functor object to compare two points. More... | |
Operations | |
| Do_intersect_3 | do_intersect_3_object () |
| returns the intersection detection predicate. | |
| Intersect_3 | intersect_3_object () |
| returns the intersection constructor. | |
| Construct_sphere_3 | construct_sphere_3_object () |
| returns the sphere constructor. | |
| Construct_projected_point_3 | construct_projected_point_3_object () |
| returns the closest point constructor. | |
| Compare_distance_3 | compare_distance_3_object () |
| returns the compare distance predicate. | |
| Compute_squared_radius_3 | compute_squared_radius_3_object () |
| returns the squared radius functor. | |
| Compute_squared_distance_3 | compute_squared_distance_3_object () |
| returns the squared distance functor. | |
| Less_x_3 | less_x_3_object () |
returns the Less_x_3 predicate. | |
| Less_y_3 | less_y_3_object () |
returns the Less_y_3 predicate. | |
| Less_z_3 | less_z_3_object () |
returns the Less_z_3 predicate. | |
| Equal_3 | equal_3_object () |
| returns the equal predicate. | |
A functor object to compare the distance of two points wrt a third one.
Provides the operator:
CGAL::Comparision_result operator()(const Point_3& p1, const Point_3& p2, const Point_3& p3),
which compares the distance between p1 andp2, and betweenp2andp3`.
A functor object to compute the squared distance between two points.
Provides the operator:
FT operator()(const Point_3& p, const Point_3& q),
which returns the squared distance between p and q.
A functor object to compute the squared radius of a sphere.
Provides the operator:
FT operator()(const Sphere_3& s),
which returns the squared radius of s.
A functor object to compute the point on a geometric primitive which is closest from a query.
Provides the operator:
Point_3 operator()(const Primitive::Datum& d, const Point_3& p),
which returns the point on d that is closest to p.
A functor object to construct the sphere centered at one point and passing through another one.
Provides the operator:
Sphere_3 operator()(const Point_3& p, const FT & sr),
which returns the sphere centered at p with sr as squared radius.
A functor object to detect intersections between two geometric objects.
Provides the following operators:
bool operator()(Query, Bbox_3),
bool operator()(Query, Primitive::Datum),
bool operator()(Sphere_3, Bbox_3).
The operator returns true iff there exists a non-empty intersection.
A functor object to compare two points.
Provides the operator:
bool operator()(const Point_3& p, const Point_3& q),
which returns true iff p is equal to q.
A functor object to construct the intersection between two geometric objects.
Provides the operator:
return_type operator()(const Query& q, const Primitive::Datum& d),
which computes the intersection between q and d. The type of the returned object must be a boost::optional of a boost::variant of the possible intersection types.
A functor object to compare the x-coordinates of two points.
Provides the operator:
bool operator()(const Point_3& p, const Point_3& q),
which returns true iff the x-coordinate of p is smaller than the x-coordinate of q.
A functor object to compare the y-coordinates of two points.
Provides the operator:
bool operator()(const Point_3& p, const Point_3& q),
which returns true iff the y-coordinate of p is smaller than the y-coordinate of q.
A functor object to compare the z-coordinates of two points.
Provides the operator:
bool operator()(const Point_3& p, const Point_3& q),
which returns true iff the z-coordinate of p is smaller than the z-coordinate of q.
1.8.13