diff --git a/Surface_mesh_approximation/doc/Surface_mesh_approximation/Concepts/ErrorMetricProxy.h b/Surface_mesh_approximation/doc/Surface_mesh_approximation/Concepts/ErrorMetricProxy.h
index a1c64471f88..07f8ea2049b 100644
--- a/Surface_mesh_approximation/doc/Surface_mesh_approximation/Concepts/ErrorMetricProxy.h
+++ b/Surface_mesh_approximation/doc/Surface_mesh_approximation/Concepts/ErrorMetricProxy.h
@@ -25,10 +25,13 @@ public:
   /// A model of this concept must provide:
   /// @{
 
-  /// returns fitting error from face f to proxy.
+  /// Computes and returns fitting error from face f to proxy.
   FT compute_error(const TriangleMesh &tm, const face_descriptor &f, const Proxy &proxy) const;
 
-  /// returns fitted proxy from a range of faces.
+  /// Computes and returns fitted proxy from a range of faces.
+  /// @tparam FaceRange range of
+  ///   `boost::graph_traits<TriangleMesh>::%face_descriptor`, model of `Range`.
+  ///   Its iterator type is `InputIterator`.
   template <typename FaceRange>
   Proxy fit_proxy(const TriangleMesh &tm, const FaceRange &faces) const;
 
diff --git a/Surface_mesh_approximation/doc/Surface_mesh_approximation/surface_mesh_approximation.txt b/Surface_mesh_approximation/doc/Surface_mesh_approximation/surface_mesh_approximation.txt
index 1543d0a4fbf..f6e66320fce 100644
--- a/Surface_mesh_approximation/doc/Surface_mesh_approximation/surface_mesh_approximation.txt
+++ b/Surface_mesh_approximation/doc/Surface_mesh_approximation/surface_mesh_approximation.txt
@@ -192,7 +192,7 @@ The free function can be used for retrieving the segmentation via proxy ids outp
 
 \subsection sma_example3 Class Interface
 
-The class interface `CGAL::Variational_shape_approximation` offers a flexible means to control of the algorithm. The following example uses the `CGAL::L2_metric_planar_proxy` to approximate the shape.
+The class interface `CGAL::Variational_shape_approximation` offers a flexible means to control of the algorithm. The following example uses the `CGAL::VSA::L2_metric_plane_proxy` to approximate the shape.
 
 \cgalExample{Surface_mesh_approximation/vsa_class_interface_example.cpp}