diff --git a/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/compute_sdf_values_and_segment_example.cpp b/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/compute_sdf_values_and_segment_example.cpp
index 7fd6f4777b6..9b160b35a47 100644
--- a/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/compute_sdf_values_and_segment_example.cpp
+++ b/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/compute_sdf_values_and_segment_example.cpp
@@ -16,12 +16,12 @@ int main(int argc, char **argv)
     // create and read Polyhedron
     Polyhedron mesh;
     std::ifstream input("data/cactus.off");
-    if ( !input || !(input >> mesh) || mesh.empty() ){
+    if ( !input || !(input >> mesh) || mesh.empty() ) {
         std::cerr << "Not a valid off file." << std::endl;
         return 1;
     }
 
-    // create a property-map for segment-ids (it is an adaptor for this case)
+    // create a property-map for segment-ids
     typedef std::map<Polyhedron::Facet_const_handle, int> Facet_int_map;
     Facet_int_map internal_segment_map;
     boost::associative_property_map<Facet_int_map> segment_property_map(internal_segment_map);
@@ -33,8 +33,7 @@ int main(int argc, char **argv)
 
     // print segment-ids
     for(Polyhedron::Facet_const_iterator facet_it = mesh.facets_begin(); 
-        facet_it != mesh.facets_end(); ++facet_it)   
-    {
-        std::cout << segment_property_map[facet_it] << std::endl;                                 
+        facet_it != mesh.facets_end(); ++facet_it) {
+        std::cout << segment_property_map[facet_it] << std::endl;
     }
 }
\ No newline at end of file
diff --git a/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/compute_sdf_values_and_segment_with_facet_ids_example.cpp b/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/compute_sdf_values_and_segment_with_facet_ids_example.cpp
index df14186a6ec..a15b96c49e6 100644
--- a/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/compute_sdf_values_and_segment_with_facet_ids_example.cpp
+++ b/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/compute_sdf_values_and_segment_with_facet_ids_example.cpp
@@ -39,30 +39,28 @@ int main(int argc, char **argv)
     // create and read Polyhedron
     Polyhedron mesh;
     std::ifstream input("data/cactus.off");
-    if ( !input || !(input >> mesh) || mesh.empty() ){
+    if ( !input || !(input >> mesh) || mesh.empty() ) {
       std::cerr << "Not a valid off file." << std::endl;
       return 1;
     }
 
-    // assign id field for each facet	
+    // assign id field for each facet
     int facet_id = 0;
-    for(Polyhedron::Facet_iterator facet_it = mesh.facets_begin(); 
-      facet_it != mesh.facets_end(); ++facet_it, ++facet_id)
-    {
+    for(Polyhedron::Facet_iterator facet_it = mesh.facets_begin();
+      facet_it != mesh.facets_end(); ++facet_it, ++facet_id) {
         facet_it->id() = facet_id;
     }
 
-    // create a property-map for sdf values
+    // create a property-map for SDF values
     std::vector<double> sdf_values(mesh.size_of_facets()); 
     Polyhedron_with_id_to_vector_property_map<Polyhedron, double> sdf_property_map(&sdf_values);
 
     CGAL::compute_sdf_values(mesh, sdf_property_map);
 
-    // access sdf values (with constant-complexity) either via sdf_values or sdf_property_map
+    // access SDF values (with constant-complexity) either via sdf_values or sdf_property_map
     for(Polyhedron::Facet_const_iterator facet_it = mesh.facets_begin(); 
-      facet_it != mesh.facets_end(); ++facet_it)
-    {
-        std::cout << sdf_property_map[facet_it] << std::endl; // or segment_ids[facet_it->id()]
+      facet_it != mesh.facets_end(); ++facet_it) {
+        std::cout << sdf_property_map[facet_it] << std::endl;
     }
 
     // create a property-map for segment-ids 
@@ -73,8 +71,7 @@ int main(int argc, char **argv)
 
     // access segment-ids (with constant-complexity) either via segment_ids or segment_property_map
     for(Polyhedron::Facet_const_iterator facet_it = mesh.facets_begin(); 
-      facet_it != mesh.facets_end(); ++facet_it)   
-    {
-        std::cout << segment_property_map[facet_it] << std::endl; // or segment_ids[facet_it->id()]                               
+      facet_it != mesh.facets_end(); ++facet_it) {
+        std::cout << segment_property_map[facet_it] << std::endl;
     }
 }
\ No newline at end of file
diff --git a/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/compute_sdf_values_example.cpp b/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/compute_sdf_values_example.cpp
index 5a100e23db9..01be0c52985 100644
--- a/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/compute_sdf_values_example.cpp
+++ b/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/compute_sdf_values_example.cpp
@@ -16,13 +16,13 @@ int main(int argc, char **argv)
     // create and read Polyhedron
     Polyhedron mesh;
     std::ifstream input("data/cactus.off");
-    if ( !input || !(input >> mesh) || mesh.empty() ){
+    if ( !input || !(input >> mesh) || mesh.empty() ) {
       std::cerr << "Not a valid off file." << std::endl;
       return 1;
     }
 
-    const int number_of_rays = 20;                   // cast 30 rays per facet
-    const double cone_angle = (1.0 / 2.0) * CGAL_PI; // use 90 degrees for cone opening-angle
+    const int number_of_rays = 20;                   // cast 20 rays per facet
+    const double cone_angle = CGAL_PI / 2.0; // use 90 degrees for cone opening-angle
 
     // create a property-map
     typedef std::map<Polyhedron::Facet_const_handle, double> Facet_double_map;
@@ -33,13 +33,12 @@ int main(int argc, char **argv)
     std::pair<double, double> min_max_sdf = CGAL::compute_sdf_values(mesh, sdf_property_map, cone_angle, number_of_rays);
     // for using default parameters: CGAL::compute_sdf_values(mesh, sdf_property_map);
 
-    // print minimum & maximum sdf values
-    std::cout << "minimum sdf: " << min_max_sdf.first << " maximum sdf: " << min_max_sdf.second << std::endl;
+    // print minimum & maximum SDF values
+    std::cout << "minimum SDF: " << min_max_sdf.first << " maximum SDF: " << min_max_sdf.second << std::endl;
 
-    // print sdf values 
+    // print SDF values 
     for(Polyhedron::Facet_const_iterator facet_it = mesh.facets_begin(); 
-        facet_it != mesh.facets_end(); ++facet_it)   
-    {
-        std::cout << sdf_property_map[facet_it] << std::endl;                                 
+        facet_it != mesh.facets_end(); ++facet_it) {
+        std::cout << sdf_property_map[facet_it] << std::endl;
     }
 }
\ No newline at end of file
diff --git a/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/segment_from_sdf_values_example.cpp b/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/segment_from_sdf_values_example.cpp
index 04ee18ae21e..c8200b68a91 100644
--- a/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/segment_from_sdf_values_example.cpp
+++ b/Surface_mesh_segmentation/examples/Surface_mesh_segmentation/segment_from_sdf_values_example.cpp
@@ -16,41 +16,40 @@ int main(int argc, char **argv)
     // create and read Polyhedron
     Polyhedron mesh;
     std::ifstream input("data/cactus.off");
-    if ( !input || !(input >> mesh) || mesh.empty() ){
+    if ( !input || !(input >> mesh) || mesh.empty() ) {
       std::cerr << "Not a valid off file." << std::endl;
       return 1;
     }
 
-    // create a property-map for sdf values (it is an adaptor for this case) 
+    // create a property-map for SDF values
     typedef std::map<Polyhedron::Facet_const_handle, double> Facet_double_map;
     Facet_double_map internal_sdf_map;
     boost::associative_property_map<Facet_double_map> sdf_property_map(internal_sdf_map);
 
-    // compute sdf values using default parameters for number of rays, and cone angle
+    // compute SDF values using default parameters for number of rays, and cone angle
     CGAL::compute_sdf_values(mesh, sdf_property_map);
 
-    // create a property-map for segment-ids (it is an adaptor for this case)
+    // create a property-map for segment-ids
     typedef std::map<Polyhedron::Facet_const_handle, int> Facet_int_map;
     Facet_int_map internal_segment_map;
     boost::associative_property_map<Facet_int_map> segment_property_map(internal_segment_map);
 
     // segment the mesh using default parameters for number of levels, and smoothing lambda
-    // Note that you can use your own scalar value, instead of using SDF calculation computed using the CGAL function
+    // Note that you can use your own scalar values, instead of using SDF values computed using the CGAL function
     int number_of_segments = CGAL::segment_from_sdf_values(mesh, sdf_property_map, segment_property_map);
 
     std::cout << "Number of segments: " << number_of_segments << std::endl;
     // print segment-ids
     for(Polyhedron::Facet_const_iterator facet_it = mesh.facets_begin(); 
-        facet_it != mesh.facets_end(); ++facet_it)   
-    {
+        facet_it != mesh.facets_end(); ++facet_it) {
         // ids are between [0, number_of_segments -1]
-        std::cout << segment_property_map[facet_it] << std::endl;                                 
+        std::cout << segment_property_map[facet_it] << std::endl;
     }
 
     const int number_of_levels = 4;       // use 4 clusters in soft clustering
-    const double smoothing_lambda = 0.3;  // importance of surface features, between [0,1]
+    const double smoothing_lambda = 0.3;  // importance of surface features, suggested to be in-between [0,1]
 
-    // Note that we can use same sdf values (sdf_property_map) over and over again for segmentation.
+    // Note that we can use the same SDF values (sdf_property_map) over and over again for segmentation.
     // This feature becomes important when we want to segment the mesh several times with different parameters.
     CGAL::segment_from_sdf_values(
       mesh, sdf_property_map, segment_property_map, number_of_levels, smoothing_lambda);