diff --git a/Surface_mesher/doc_tex/Surface_mesher_ref/ImplicitFunction.tex b/Surface_mesher/doc_tex/Surface_mesher_ref/ImplicitFunction.tex
index a474625a04e..92da9e09689 100644
--- a/Surface_mesher/doc_tex/Surface_mesher_ref/ImplicitFunction.tex
+++ b/Surface_mesher/doc_tex/Surface_mesher_ref/ImplicitFunction.tex
@@ -37,7 +37,7 @@ whose \ccc{operator()} computes the values of a function
 any pointer to a function of type \ccc{FT (*)(FT, FT, FT)}.
 
 \ccSeeAlso
-\ccc{Implicit_surface_3<Traits, Func>},\\
+\ccc{Implicit_surface_3<Traits, Function>},\\
 \ccc{make_surface_mesh}
 
 
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 be8d83c32d9..847bf066c49 100644
--- a/Surface_mesher/doc_tex/Surface_mesher_ref/ImplicitSurfaceTraits_3.tex
+++ b/Surface_mesher/doc_tex/Surface_mesher_ref/ImplicitSurfaceTraits_3.tex
@@ -19,16 +19,16 @@
 \ccDefinition
   
 The concept \ccRefName\  describes the requirements of the traits class to
-be plugged  as \ccc{Traits} in \ccc{Implicit_surface_3< Traits, Func>}.
+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 the 
 the partial specialisation  of 
 the  surface mesher traits generator~:
-\ccc{Surface_mesh_traits_generator_3<Implicit_surface_3<Traits,Func > >}.
+\ccc{Surface_mesh_traits_generator_3<Implicit_surface_3<Traits, Function> >}.
 
 
 
-TO BE COMPLETED BE LAURENT
+TODO: TO BE COMPLETED BE LAURENT
 
 %\ccGeneralizes
 
@@ -62,7 +62,7 @@ Any CGAL Kernel.
 
 \ccSeeAlso
 
-\ccc{Implicit_surface_3<Traits, Func>},\\
+\ccc{Implicit_surface_3<Traits, Function>},\\
 \ccc{make_surface_mesh}
 
 
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 e86356533e0..5944e836c8c 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
@@ -11,7 +11,7 @@
 % +------------------------------------------------------------------------+
 
 
-\begin{ccRefClass}{Implicit_surface_3<Traits,Func>}
+\begin{ccRefClass}{Implicit_surface_3<Traits, Function>}
 
 %% \ccHtmlCrossLink{}     %% add further rules for cross referencing links
 %% \ccHtmlIndexC[class]{} %% add further index entries
@@ -25,7 +25,7 @@ set  of a function \begin{math}f : \R^3 \longrightarrow \R\end{math}.
 
 The library provides a partial specialization
 of the  surface mesher traits generator~:
-\ccc{Surface_mesh_traits_generator_3<Implicit_surface_3<Traits,Func > >}
+\ccc{Surface_mesh_traits_generator_3<Implicit_surface_3<Traits, Function> >}
 that provides a model of \ccc{SurfaceMeshTraits_3} for this type of surfaces.
 
 
@@ -38,18 +38,31 @@ the types, predicates and constructors objects provided
 in \ccc{Traits} are
 used in 
 the partial specialisation 
-\ccc{Surface_mesh_traits_generator_3<Implicit_surface_3<Traits,Func > >}
+\ccc{Surface_mesh_traits_generator_3<Implicit_surface_3<Traits, Function> >}
 to generate the model of  \ccc{SurfaceMeshTraits_3}.
 
-The template parameter \ccc{Func}  stands for a model
+The template parameter \ccc{Function}  stands for a model
 of the concept \ccc{ImplicitFunction}.
-The number type \ccc{Func::FT} has to match
+The number type \ccc{Function::FT} has to match
 the type \ccc{Traits::FT}.
 
-TODO : NEED TO DOCUMENT CONSTRUCTOR!
-
 \ccInclude{CGAL/Implicit_surface_3.h}
 
+\ccCreation
+\ccCreationVariable{surface}
+
+\ccConstructor{
+Implicit_surface_3(Function f,
+                   const Sphere_3 bounding_sphere,
+                   const FT error_bound);}
+{\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.\\
+ \ccc{error_bound} is a bound that is used if the partial specialisation 
+ \ccc{Surface_mesh_traits_generator_3<Implicit_surface_3<Traits, Function> >}
+ to compute intersection points between the implicit surface and some
+ segments.}
+
 \ccSeeAlso
 \ccc{make_surface_mesh},\\
 \ccc{Surface_mesh_traits_generator_3<Surface>},\\
diff --git a/Surface_mesher/doc_tex/Surface_mesher_ref/Surface_mesh_traits_generator_3.tex b/Surface_mesher/doc_tex/Surface_mesher_ref/Surface_mesh_traits_generator_3.tex
index 9aa8b5ae2ea..c1efea01f6f 100644
--- a/Surface_mesher/doc_tex/Surface_mesher_ref/Surface_mesh_traits_generator_3.tex
+++ b/Surface_mesher/doc_tex/Surface_mesher_ref/Surface_mesh_traits_generator_3.tex
@@ -35,7 +35,7 @@ of the traits generator \ccRefName exists.
 
 Currently, the library provides partial specializations
 of  the   traits generator 
-for implicit surfaces (\ccc{Implicit_surface_3<Traits, Func> }) and 
+for implicit surfaces (\ccc{Implicit_surface_3<Traits, Function> }) and 
 grey level images (\ccc{Gray_level_image_3<Traits> }).
  
 
diff --git a/Surface_mesher/doc_tex/Surface_mesher_ref/intro.tex b/Surface_mesher/doc_tex/Surface_mesher_ref/intro.tex
index 51bd34c6441..8b8217d1597 100644
--- a/Surface_mesher/doc_tex/Surface_mesher_ref/intro.tex
+++ b/Surface_mesher/doc_tex/Surface_mesher_ref/intro.tex
@@ -50,7 +50,7 @@ of  the output mesh  while avoiding an over-refinement of the mesh.
 \ccRefIdfierPage{CGAL::Surface_mesh_cell_base_3<Gt,Cb>} \\
 \ccRefIdfierPage{CGAL::Surface_mesh_default_criteria_3<Tr>} \\
 \ccRefIdfierPage{CGAL::Surface_mesh_traits_generator_3<Surface>} \\
-\ccRefIdfierPage{CGAL::Implicit_surface_3<Traits,Func>} \\
+\ccRefIdfierPage{CGAL::Implicit_surface_3<Traits,Function>} \\
 \ccRefIdfierPage{CGAL::Gray_level_image_3<Traits>}
 
 \subsection*{Tag classes}
diff --git a/Surface_mesher/doc_tex/Surface_mesher_ref/make_surface_mesh.tex b/Surface_mesher/doc_tex/Surface_mesher_ref/make_surface_mesh.tex
index 601fdc1c3f2..9d9772a2c66 100644
--- a/Surface_mesher/doc_tex/Surface_mesher_ref/make_surface_mesh.tex
+++ b/Surface_mesher/doc_tex/Surface_mesher_ref/make_surface_mesh.tex
@@ -98,7 +98,7 @@ of the traits generator \ccc{Surface_mesh_traits_generator_3<Surface>}
 is provided.
 Currently, the library provides partial specializations
 of  \ccc{Surface_mesher_traits_generator_3<Surface>}
-for implicit surfaces (\ccc{Implicit_surface_3<Traits, Func> }) and 
+for implicit surfaces (\ccc{Implicit_surface_3<Traits, Function> }) and 
 grey level images (\ccc{Gray_level_image_3<Traits> }).