diff --git a/Surface_mesh_approximation/doc/Surface_mesh_approximation/NamedParameters.txt b/Surface_mesh_approximation/doc/Surface_mesh_approximation/NamedParameters.txt
index 484073c94d5..0093cfa749c 100644
--- a/Surface_mesh_approximation/doc/Surface_mesh_approximation/NamedParameters.txt
+++ b/Surface_mesh_approximation/doc/Surface_mesh_approximation/NamedParameters.txt
@@ -50,7 +50,7 @@ Here is the list of the named parameters available in this package:
 \cgalNPTableBegin
 
 \cgalNPBegin{geom_traits} \anchor VSA_geom_traits
- the geometric traits instance in which the mesh processing operation should be performed.\n
+ the geometric traits instance in which the mesh approximation operation should be performed.\n
 \b Type: a Geometric traits class.\n
 \b Default type is
 \code
diff --git a/Surface_mesh_approximation/include/CGAL/L21_metric_vector_proxy.h b/Surface_mesh_approximation/include/CGAL/L21_metric_vector_proxy.h
index f451769e5e5..2b3f457ecc3 100644
--- a/Surface_mesh_approximation/include/CGAL/L21_metric_vector_proxy.h
+++ b/Surface_mesh_approximation/include/CGAL/L21_metric_vector_proxy.h
@@ -20,7 +20,7 @@ namespace VSA {
 /// @tparam TriangleMesh a triangle `FaceListGraph`
 /// @tparam VertexPointMap a property map with `boost::graph_traits<TriangleMesh>::%vertex_descriptor`
 ///    as key type, GeomTraits::Point_3 as value type
-/// @tparam GeomTraits geometric traits
+/// @tparam GeomTraits model of \cgal Kernel
 template <typename TriangleMesh,
   typename VertexPointMap
     = typename boost::property_map<TriangleMesh, boost::vertex_point_t>::type,
diff --git a/Surface_mesh_approximation/include/CGAL/L2_metric_plane_proxy.h b/Surface_mesh_approximation/include/CGAL/L2_metric_plane_proxy.h
index 503ac7d5b3f..e2bab1f67f5 100644
--- a/Surface_mesh_approximation/include/CGAL/L2_metric_plane_proxy.h
+++ b/Surface_mesh_approximation/include/CGAL/L2_metric_plane_proxy.h
@@ -23,7 +23,7 @@ namespace VSA {
 /// @tparam TriangleMesh a triangle `FaceListGraph`
 /// @tparam VertexPointMap a property map with `boost::graph_traits<TriangleMesh>::%vertex_descriptor`
 ///    as key type, GeomTraits::Point_3 as value type
-/// @tparam GeomTraits geometric traits
+/// @tparam GeomTraits model of \cgal Kernel
 template <typename TriangleMesh,
   typename VertexPointMap
     = typename boost::property_map<TriangleMesh, boost::vertex_point_t>::type,
diff --git a/Surface_mesh_approximation/include/CGAL/Variational_shape_approximation.h b/Surface_mesh_approximation/include/CGAL/Variational_shape_approximation.h
index 69b8ddd73f7..7dca296cc28 100644
--- a/Surface_mesh_approximation/include/CGAL/Variational_shape_approximation.h
+++ b/Surface_mesh_approximation/include/CGAL/Variational_shape_approximation.h
@@ -62,7 +62,7 @@ enum Approximation_seeding_tag {
 /// @tparam TriangleMesh CGAL TriangleMesh
 /// @tparam VertexPointMap vertex point map
 /// @tparam ErrorMetricProxy approximation metric type
-/// @tparam GeomTraits geometric traits type
+/// @tparam GeomTraits model of \cgal Kernel
 /// @tparam Concurrency_tag concurrency tag
 template <typename TriangleMesh,
   typename VertexPointMap,
diff --git a/Surface_mesh_approximation/include/CGAL/approximate_mesh.h b/Surface_mesh_approximation/include/CGAL/approximate_mesh.h
index 4f6c4febc2c..42885324a00 100644
--- a/Surface_mesh_approximation/include/CGAL/approximate_mesh.h
+++ b/Surface_mesh_approximation/include/CGAL/approximate_mesh.h
@@ -59,7 +59,7 @@ unspecified_type all_default();
  * @return `true` if the indexed triangles represent a 2-manifold, oriented surface mesh, and `false` otherwise. 
  *
  * \cgalNamedParamsBegin
- *  \cgalParamBegin{geom_traits} a geometric traits class instance, model of `Kernel`.
+ *  \cgalParamBegin{geom_traits} a geometric traits class instance, model of \cgal Kernel.
  *    Exact constructions kernels are not supported by this function.
  *  \cgalParamEnd
  *  \cgalParamBegin{vertex_point_map} the property map with the points associated