diff --git a/Isosurfacing_3/doc/Isosurfacing_3/Concepts/IsosurfacingDomainWithGradient_3.h b/Isosurfacing_3/doc/Isosurfacing_3/Concepts/IsosurfacingDomainWithGradient_3.h
index 8469f77d0aa..e11de9e30a5 100644
--- a/Isosurfacing_3/doc/Isosurfacing_3/Concepts/IsosurfacingDomainWithGradient_3.h
+++ b/Isosurfacing_3/doc/Isosurfacing_3/Concepts/IsosurfacingDomainWithGradient_3.h
@@ -38,7 +38,7 @@ public:
   /// @{
 
   /*!
-  gets the gradient at a position
+  gets the gradient at the position `p`
   */
   Vector_3 gradient(const Geom_traits::Point_3& p) const;
 
diff --git a/Isosurfacing_3/doc/Isosurfacing_3/Concepts/IsosurfacingDomain_3.h b/Isosurfacing_3/doc/Isosurfacing_3/Concepts/IsosurfacingDomain_3.h
index 34aaa0715f2..6d564dfbc4a 100644
--- a/Isosurfacing_3/doc/Isosurfacing_3/Concepts/IsosurfacingDomain_3.h
+++ b/Isosurfacing_3/doc/Isosurfacing_3/Concepts/IsosurfacingDomain_3.h
@@ -91,37 +91,37 @@ public:
   Geom_traits geom_traits();
 
   /*!
-  gets the position of a vertex in 3D space
+  gets the 3D position of the vertex `v`
   */
   Point_3 point(const Vertex_descriptor& v) const;
 
   /*!
-  gets the value of the implicit field at a vertex
+  gets the value of the implicit field at the vertex `v`
   */
   FT value(const Vertex_descriptor& v) const;
 
   /*!
-  gets the two vertices incident to an edge
+  gets the two vertices incident to the edge `e`
   */
   Vertices_incident_to_edge incident_vertices(const Edge_descriptor& e) const;
 
   /*!
-  gets all cells incident to an edge
+  gets all cells incident to the edge `e`
   */
   Cells_incident_to_edge incident_cells(const Edge_descriptor& e) const;
 
   /*!
-  gets all vertices of the a cell
+  gets all vertices of the cell `c`
   */
   Cell_vertices cell_vertices(const Cell_descriptor& c) const;
 
   /*!
-  gets all edges of the cell c
+  gets all edges of the cell `c`
   */
   Cell_edges cell_edges(const Cell_descriptor& c) const;
 
   /*!
-  iterates over all vertices and call a functor on each one
+  iterates over all vertices and calls the functor `f` on each one
 
   \tparam ConcurrencyTag decides if the vertices are iterated sequentially or in parallel.
   Can be either `CGAL::Sequential_tag`, `CGAL::Parallel_if_available_tag`, or `CGAL::Parallel_tag`.
@@ -134,7 +134,7 @@ public:
   void iterate_vertices(Functor& f) const;
 
   /*!
-  iterates over all edges and call a functor f on each one
+  iterates over all edges and calls the functor `f` on each one
 
   \tparam ConcurrencyTag decides if the edges are iterated sequentially or in parallel.
   Can be either `CGAL::Sequential_tag`, `CGAL::Parallel_if_available_tag`, or `CGAL::Parallel_tag`.
@@ -145,7 +145,7 @@ public:
   void iterate_edges(Functor& f) const;
 
   /*!
-  iterates over all cells and call a functor f on each one
+  iterates over all cells and calls the functor `f` on each one
 
   \tparam ConcurrencyTag decides if the cells are iterated sequentially or in parallel.
   Can be either `CGAL::Sequential_tag`, `CGAL::Parallel_if_available_tag`, or `CGAL::Parallel_tag`.
diff --git a/Isosurfacing_3/doc/Isosurfacing_3/Concepts/IsosurfacingTraits_3.h b/Isosurfacing_3/doc/Isosurfacing_3/Concepts/IsosurfacingTraits_3.h
index f654588763e..e35be76357d 100644
--- a/Isosurfacing_3/doc/Isosurfacing_3/Concepts/IsosurfacingTraits_3.h
+++ b/Isosurfacing_3/doc/Isosurfacing_3/Concepts/IsosurfacingTraits_3.h
@@ -76,7 +76,7 @@ public:
 
   `Point_3 operator()(FT x, FT y, FT z)`
 
-  which constructs a 3D point from a set of coordinates.
+  which constructs a 3D point from its three coordinates.
   */
   typedef unspecified_type Construct_point_3;
 
@@ -85,7 +85,7 @@ public:
 
   `Vector_3 operator()(FT x, FT y, FT z)`
 
-  which constructs a 3D vector from a set of coordinates.
+  which constructs a 3D vector from its three coordinates.
   */
   typedef unspecified_type Construct_vector_3;
 
diff --git a/Isosurfacing_3/include/CGAL/Isosurfacing_3/Explicit_Cartesian_grid_domain_3.h b/Isosurfacing_3/include/CGAL/Isosurfacing_3/Explicit_Cartesian_grid_domain_3.h
index 9ebac1bcafa..18f51454133 100644
--- a/Isosurfacing_3/include/CGAL/Isosurfacing_3/Explicit_Cartesian_grid_domain_3.h
+++ b/Isosurfacing_3/include/CGAL/Isosurfacing_3/Explicit_Cartesian_grid_domain_3.h
@@ -69,7 +69,7 @@ using Explicit_Cartesian_grid_domain_3 =
  * \param grid the %Cartesian grid containing input data
  * \param grad a function that describes the gradient of the data
  *
- * \return a new `Explicit_Cartesian_grid_domain_3`
+ * \return a new `CGAL::Explicit_Cartesian_grid_domain_3`
  */
 #ifdef DOXYGEN_RUNNING // Allow more than Cartesian_grid_3
 template <typename GeomTraits,
diff --git a/Isosurfacing_3/include/CGAL/Isosurfacing_3/Explicit_Cartesian_grid_gradient_3.h b/Isosurfacing_3/include/CGAL/Isosurfacing_3/Explicit_Cartesian_grid_gradient_3.h
index 517b9828b2f..48cc71e7519 100644
--- a/Isosurfacing_3/include/CGAL/Isosurfacing_3/Explicit_Cartesian_grid_gradient_3.h
+++ b/Isosurfacing_3/include/CGAL/Isosurfacing_3/Explicit_Cartesian_grid_gradient_3.h
@@ -37,6 +37,9 @@ class Explicit_Cartesian_grid_gradient_3
 #endif
 {
 public:
+#ifdef DOXYGEN_RUNNING
+  using Grid = Cartesian_grid_3<GeomTraits>;
+#endif
   using Geom_traits = typename Grid::Geom_traits;
   using FT = typename Geom_traits::FT;
   using Point_3 = typename Geom_traits::Point_3;
diff --git a/Isosurfacing_3/include/CGAL/Isosurfacing_3/Implicit_Cartesian_grid_domain_3.h b/Isosurfacing_3/include/CGAL/Isosurfacing_3/Implicit_Cartesian_grid_domain_3.h
index c37c11144ea..57aa4f8698c 100644
--- a/Isosurfacing_3/include/CGAL/Isosurfacing_3/Implicit_Cartesian_grid_domain_3.h
+++ b/Isosurfacing_3/include/CGAL/Isosurfacing_3/Implicit_Cartesian_grid_domain_3.h
@@ -82,7 +82,7 @@ using Implicit_Cartesian_grid_domain_3 =
  * \param grad a function that describes the gradient of the data
  * \param gt an instance of geometric traits
  *
- * \return a new `Implicit_Cartesian_grid_domain_3`
+ * \return a new `CGAL::Implicit_Cartesian_grid_domain_3`
  */
 template <typename GeomTraits,
           typename ImplicitFunction,
diff --git a/Isosurfacing_3/include/CGAL/Isosurfacing_3/Implicit_octree_domain.h b/Isosurfacing_3/include/CGAL/Isosurfacing_3/Implicit_octree_domain.h
index 7fe3f25d467..d6020e72cc0 100644
--- a/Isosurfacing_3/include/CGAL/Isosurfacing_3/Implicit_octree_domain.h
+++ b/Isosurfacing_3/include/CGAL/Isosurfacing_3/Implicit_octree_domain.h
@@ -66,7 +66,7 @@ using Implicit_octree_domain =
  * \param point_function the function with a point as argument
  * \param gradient a function that describes the gradient of the data
  *
- * \return a new `Implicit_octree_domain`
+ * \return a new `CGAL::Implicit_octree_domain`
  */
 #ifdef DOXYGEN_RUNNING // Allow more than the Octree_wrapper
 template <typename GeomTraits,