diff --git a/Convex_decomposition_3/examples/Convex_decomposition_3/list_of_convex_parts.cpp b/Convex_decomposition_3/examples/Convex_decomposition_3/list_of_convex_parts.cpp
index ecde3aa5d37..5c73dda5eee 100644
--- a/Convex_decomposition_3/examples/Convex_decomposition_3/list_of_convex_parts.cpp
+++ b/Convex_decomposition_3/examples/Convex_decomposition_3/list_of_convex_parts.cpp
@@ -17,12 +17,11 @@
 //
 // Author(s)     :  Peter Hachenberger <hachenberger@mpi-sb.mpg.de>
 
-#include <CGAL/basic.h>
 #include <CGAL/Exact_predicates_exact_constructions_kernel.h>
 #include <CGAL/Polyhedron_3.h>
 #include <CGAL/Nef_polyhedron_3.h>
 #include <CGAL/IO/Nef_polyhedron_iostream_3.h>
-#include<CGAL/Nef_3/SNC_indexed_items.h>
+#include <CGAL/Nef_3/SNC_indexed_items.h>
 #include <CGAL/convex_decomposition_3.h> 
 #include <list>
 
@@ -31,16 +30,18 @@ typedef CGAL::Polyhedron_3<Kernel> Polyhedron_3;
 typedef CGAL::Nef_polyhedron_3<Kernel, CGAL::SNC_indexed_items> Nef_polyhedron_3;
 typedef Nef_polyhedron_3::Volume_const_iterator Volume_const_iterator;
 
-int main(int argc, char* argv[]) {
+int main() {
   
   Nef_polyhedron_3 N;
   std::cin >> N;
 
-  CGAL::convex_decomposition_3<Nef_polyhedron_3>(N);
+  CGAL::convex_decomposition_3(N);
   std::list<Polyhedron_3> convex_parts;
   
-  Volume_const_iterator ci;
-  for(ci = ++N.volumes_begin(); ci != N.volumes_end(); ++ci) {
+  // the first volumes is the outer volume, which is 
+  // ignored in the decomposition
+  Volume_const_iterator ci = ++N.volumes_begin();
+  for( ; ci != N.volumes_end(); ++ci) {
     if(ci->mark()) {
       Polyhedron_3 P;
       N.convert_inner_shell_to_polyhedron(ci->shells_begin(), P);