diff --git a/Surface_mesher/doc_tex/Surface_mesher/main.tex b/Surface_mesher/doc_tex/Surface_mesher/main.tex
index c700b4d4273..a5e969efada 100644
--- a/Surface_mesher/doc_tex/Surface_mesher/main.tex
+++ b/Surface_mesher/doc_tex/Surface_mesher/main.tex
@@ -4,14 +4,23 @@
 
 \minitoc
 
-\begin{ccTexOnly}
+%\begin{ccTexOnly}
+%\begin{center}
+%\includegraphics[height=10cm]{Surface_mesher/skull-surface}
+%\end{center}
+%\end{ccTexOnly}
+%\begin{ccHtmlOnly}
+%<img border="0" src="./skull-surface.png" align="center" height="75%">
+%\end{ccHtmlOnly}
+
 \begin{center}
-\includegraphics[height=10cm]{Surface_mesher/skull-surface}
+ \begin{ccTexOnly}
+   \includegraphics[height=10cm]{Surface_mesher/skull-surface}
+ \end{ccTexOnly}
+ \begin{ccHtmlOnly}
+   <img border="0" src="./skull-surface.png" height="75%">
+ \end{ccHtmlOnly}
 \end{center}
-\end{ccTexOnly}
-\begin{ccHtmlOnly}
-<img border="0" src="./skull-surface.png" align="center" height="75%">
-\end{ccHtmlOnly}
 
 \section{Introduction}
 \label{SurfaceMesher_section_intro}
@@ -263,7 +272,7 @@ on the  distance (Hausdorff and even Frechet distance)
 between the mesh and the surface
 if the radius bound is everywhere smaller than 
 the $\epsilon$ times the local feature size. 
-Here $\epsilon$ is a constant whish has to be
+Here $\epsilon$ is a constant which has to be
 less than 0.16, and the local feature size 
 $lfs(x)$ is defined on each point $x$ of the surface
 as the distance from $x$ to the medial axis.  
@@ -277,10 +286,10 @@ of local feature size on
 this surface).
 
 The value of the local feature size on any point of the surface
-or its minimum on the surface it usually not known
+or its minimum on the surface it usually unknown
 although it can sometimes be guessed. Also it happens frequently
 that setting the meshing criteria so as to fulfill the theoretical
-conditions yield an over refined mesh.
+conditions yields an over refined mesh.
 On the other hand, when the size criteria are relaxed,
 no homeomorphism with the input surface is guaranteed,
 and the output mesh is not even guaranteed to be manifold.
diff --git a/Surface_mesher/doc_tex/Surface_mesher_ref/Gray_level_image_3.tex b/Surface_mesher/doc_tex/Surface_mesher_ref/Gray_level_image_3.tex
index 128b7878a06..4fd88561cb1 100644
--- a/Surface_mesher/doc_tex/Surface_mesher_ref/Gray_level_image_3.tex
+++ b/Surface_mesher/doc_tex/Surface_mesher_ref/Gray_level_image_3.tex
@@ -41,7 +41,7 @@ in the input 3D gray image.
 %$f(x,y,z)=0$, and \ccc{FT(1)} if $f(x,y,z)<0$. \ccRefName\ is a model of
 %\ccc{ImplicitFunction}.
 
-\ccRefName\ is a wrapper around an auxiliary library called
+\ccRefName\ provides an interface with an auxiliary library called
 \emph{ImageIO}. An executable that uses \ccRefName\ must be linked with the \emph{ImageIO}
 library. This library is shipped with \cgal\ in the
 \ccc{examples/Surface_mesher/} subdirectory.
diff --git a/Surface_mesher/doc_tex/Surface_mesher_ref/ImplicitSurfaceTraits_3.tex b/Surface_mesher/doc_tex/Surface_mesher_ref/ImplicitSurfaceTraits_3.tex
index 4e406ba9117..b22195bba69 100644
--- a/Surface_mesher/doc_tex/Surface_mesher_ref/ImplicitSurfaceTraits_3.tex
+++ b/Surface_mesher/doc_tex/Surface_mesher_ref/ImplicitSurfaceTraits_3.tex
@@ -16,12 +16,19 @@
 \ccDefinition
   
 The concept \ccRefName\  describes the requirements of the traits class to
-be plugged  as \ccc{Traits} in \ccc{Implicit_surface_3<Traits, Function>}.
-The concept provides the types, predicates and constructors objects
-that are used in
-\ccc{Surface_mesh_traits_generator_3<Implicit_surface_3<Traits, Function>
-  >::Type}, which is the model of \ccc{SurfaceMeshTraits_3} that is used
-when the first version of \ccc{make_surface_mesh} is called.
+be plugged  as \ccc{Traits} in \ccc{Implicit_surface_3<Traits,
+Function>}.
+
+
+When \ccc{make_surface_mesh} is called
+with a surface of type \ccc{Implicit_surface_3<Traits,Function>},
+ the  surface mesher traits generator generates automatically
+a traits class that is a model of \ccc{SurfaceMeshTraits_3}.
+Actually, 
+the concept \ccRefName\  provides the types, predicates and constructors 
+that are passed 
+to the generated model of \ccc{SurfaceMeshTraits_3}.
+
 
 \ccTypes
 
diff --git a/Surface_mesher/doc_tex/Surface_mesher_ref/Implicit_surface_3.tex b/Surface_mesher/doc_tex/Surface_mesher_ref/Implicit_surface_3.tex
index 40f584b2238..c3729a9ba7e 100644
--- a/Surface_mesher/doc_tex/Surface_mesher_ref/Implicit_surface_3.tex
+++ b/Surface_mesher/doc_tex/Surface_mesher_ref/Implicit_surface_3.tex
@@ -37,7 +37,7 @@ that has to be implemented with a model of
 \ccc{ImplicitSurfaceTraits_3}.
 Actually, this traits class implements the oracle needed by the
 surface mesher:
-the types, predicates and constructors objects provided
+the types, predicates and constructors  provided
 in \ccc{Traits} are
 passed by the surface mesher traits generator
 to the generated the traits class
@@ -61,7 +61,7 @@ the type \ccc{Traits::FT}.
 \ccConstructor{
 Implicit_surface_3(Function f,
                    Sphere_3 bounding_sphere,
-                   FT error_bound);}
+                   FT error_bound = FT(1e-3));}
 {\ccc{f} is the object of type \ccc{Function} that represents the implicit
   surface.\\
  \ccc{bounding_sphere} is a bounding sphere of the implicit surface. The