doc_tex -> doxygen of the AABB Tree documentation

AABB_tree/doc/AABB_tree/Concepts/AABBGeomTraits.h

@@ -38,8 +38,11 @@ typedef Hidden_type Do_intersect_3;
 
 /*! 
 A functor object to construct the intersection between two geometric objects. 
+Provides the nested type `Result<A, B>` where `Result<A, B>::Type` is the return 
+type of the `operator()(A, B)`.
+
 Provides the operators: 
-`CGAL::Object operator()(const Type_1& type_1, const Type_2& type_2);` where `Type_1` and `Type_2` are any relevant types among `Ray_3`, `Segment_3`, `Line_3`, `Triangle_3`, `Plane_3` and `Bbox_3`. Relevant herein means that a line primitive (ray, segment, line) is tested against a planar or solid primitive (plane, triangle, box). The operator computes a `CGAL::Object` which is the intersection between the objects `type_1` and `type_2`. 
+`Result<A, B> operator()(const A& a, const B& b);` where `A` and `B` are any relevant types among `Ray_3`, `Segment_3`, `Line_3`, `Triangle_3`, `Plane_3` and `Bbox_3`. Relevant herein means that a line primitive (ray, segment, line) is tested against a planar or solid primitive (plane, triangle, box). A model of `Kernel::Intersect_3` fulfills those requirements. 
 */ 
 typedef Hidden_type Intersect_3; 
 

AABB_tree/doc/AABB_tree/Concepts/AABBTraits.h

@@ -53,10 +53,21 @@ typedef Hidden_type Bounding_box;
 typedef std::pair<Point_3, Primitive::Id> Point_and_primitive_id; 
 
 /*! 
-
+\deprecated 
 */ 
 typedef std::pair<Object, Primitive::Id> Object_and_primitive_id;
 
+
+  /*!  A nested class template to aquire the pair of the return type of
+intersections with an object of type `Query` and a
+`Primitive::Id` through the member typedef `Type`.
+
+This class is convertible to `Point_and_primitive_id`.
+  */
+
+  template <typename Query>
+  struct Intersection_and_primitive_id{};
+
 /// @}
 
 /// \name Splitting
@@ -112,7 +123,7 @@ typedef Hidden_type Do_intersect;
 
 /*! 
 A functor object to compute the intersection of a query and a primitive. Provides the operator: 
-`boost::optional<Object_and_primitive_id> operator()(const Query & q, const Primitive& primitive);` which returns the intersection as a pair composed of an object and a primitive id, iff the query intersects the primitive. 
+`boost::optional<Intersection_and_primitive_id<Query>::type operator()(const Query & q, const Primitive& primitive);` which returns the intersection as a pair composed of an object and a primitive id, iff the query intersects the primitive. 
 */ 
 typedef Hidden_type Intersect; 
 

AABB_tree/include/CGAL/AABB_tree.h

@@ -74,8 +74,16 @@ namespace CGAL {
 		typedef typename AABBTraits::Bounding_box Bounding_box;
     /// 
 		typedef typename AABBTraits::Point_and_primitive_id Point_and_primitive_id;
-    /// 
+    /// \deprecated 
 		typedef typename AABBTraits::Object_and_primitive_id Object_and_primitive_id;
+
+    /*!  
+\todo Fill in the types in the std::pair.
+A nested type to aquire the  return type of intersections
+with an object of type `Query` through the member typedef
+`Type` equal to `std::pair< >`
+    */
+
     template<typename Query>
     struct Intersection_and_primitive_id {
       typedef typename AABBTraits::template Intersection_and_primitive_id<Query>::Type Type;
@@ -232,22 +240,25 @@ public:
     /// \name Intersections
     ///@{
 
-    /// Outputs to the iterator the list of all intersections between
-    /// the query and input data, as objects of type
-    /// `Object_and_primitive_id`. Type `Query` must be a type
-    /// for which `do_intersect` predicates
-    /// and intersections are defined in the traits class AABBTraits.
+    /// Outputs the list of all intersections, as objects of
+    /// `Intersection_and_primitive_id<Query>::Type`,
+    /// between the query and the input data to
+    /// the iterator. `do_intersect()`
+    /// predicates and intersections must be defined for Query`
+    /// in the `AABBTraits` class.
+
 		template<typename Query, typename OutputIterator>
 		OutputIterator all_intersections(const Query& query, OutputIterator out) const;
 
 
-    /// Returns the first encountered intersection, iff the query
-    /// intersects at least one of the input primitives. No particular
-    /// order is guaranteed over the tree traversal, such that, e.g,
-    /// the primitive returned is not necessarily the closest from the
+    /// Returns the first encountered intersection. No particular
+    /// order is guaranteed over the tree traversal, e.g, the
+    /// primitive returned is not necessarily the closest from the
     /// source point of a ray query. Type `Query` must be a type
     /// for which `do_intersect` predicates
     /// and intersections are defined in the traits class AABBTraits.
+
+
 		template <typename Query>
     #if CGAL_INTERSECTION_VERSION < 2
 		boost::optional<Object_and_primitive_id>