From b22e182dd1a2c30be324b21074158390d00714b3 Mon Sep 17 00:00:00 2001
From: eap <eap@opencascade.com>
Date: Wed, 1 Jul 2015 14:59:24 +0300
Subject: [PATCH] 23080: [CEA 1497] Do not merge a middle node in quadratic
 with the extreme nodes of a segment

---
 doc/salome/gui/SMESH/images/mergenodes.png    | Bin 33189 -> 34408 bytes
 .../gui/SMESH/images/mergenodes_auto.png      | Bin 21422 -> 23601 bytes
 doc/salome/gui/SMESH/input/merging_nodes.doc  |   4 +
 idl/SMESH_MeshEditor.idl                      |  19 ++--
 src/SMESH/SMESH_MeshEditor.cxx                |  87 +++++++++++----
 src/SMESH/SMESH_MeshEditor.hxx                |   3 +-
 src/SMESHGUI/SMESHGUI_MergeDlg.cxx            |  77 ++++++++-----
 src/SMESHGUI/SMESHGUI_MergeDlg.h              |   1 +
 src/SMESHGUI/SMESH_msg_en.ts                  |   4 +
 src/SMESHUtils/SMESH_OctreeNode.cxx           |  33 +++---
 src/SMESH_I/SMESH_Gen_i.cxx                   |   7 +-
 src/SMESH_I/SMESH_MeshEditor_i.cxx            | 101 +++++++++---------
 src/SMESH_I/SMESH_MeshEditor_i.hxx            |  15 ++-
 src/SMESH_SWIG/smeshBuilder.py                |  36 ++++---
 .../StdMeshers_QuadFromMedialAxis_1D2D.cxx    |  33 ++++--
 15 files changed, 259 insertions(+), 161 deletions(-)
 mode change 100755 => 100644 doc/salome/gui/SMESH/images/mergenodes.png

diff --git a/doc/salome/gui/SMESH/images/mergenodes.png b/doc/salome/gui/SMESH/images/mergenodes.png
old mode 100755
new mode 100644
index 05286a56e5d1b68d2e53a7e1d5f859046bcb6c2a..499453d456673ce6cbd2560bbec454f71f35029e
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C(?ul!

diff --git a/doc/salome/gui/SMESH/input/merging_nodes.doc b/doc/salome/gui/SMESH/input/merging_nodes.doc
index 3f713efda..8e2aa4fad 100644
--- a/doc/salome/gui/SMESH/input/merging_nodes.doc
+++ b/doc/salome/gui/SMESH/input/merging_nodes.doc
@@ -21,6 +21,10 @@ then converted to the single node.
 processed.
 <li>\b Tolerance is a maximum distance between nodes sufficient for
 merging.</li>
+<li>Activation of <b>No merge of corner and medium nodes</b> check-box
+  prevents merging medium nodes of quadratic elements with corner
+  nodes. This check-box is enabled provided that the selected mesh
+  includes quadratic elements.</li>
 <li><b>Exclude Groups</b> group box allows to ignore the nodes which
 belong to the specified mesh groups.
 </ul>
diff --git a/idl/SMESH_MeshEditor.idl b/idl/SMESH_MeshEditor.idl
index 3cdbea8bf..0b4321172 100644
--- a/idl/SMESH_MeshEditor.idl
+++ b/idl/SMESH_MeshEditor.idl
@@ -609,41 +609,44 @@ module SMESH
                                in AxisStruct Axis,
                                in double     AngleInRadians,
                                in boolean    CopyGroups,
-                               in string     MeshName) 
+                               in string     MeshName)
       raises (SALOME::SALOME_Exception);
 
     void RotateObject (in SMESH_IDSource theObject,
                        in AxisStruct     Axis,
                        in double         AngleInRadians,
-                       in boolean        Copy) 
+                       in boolean        Copy)
       raises (SALOME::SALOME_Exception);
     ListOfGroups RotateObjectMakeGroups (in SMESH_IDSource theObject,
                                          in AxisStruct     Axis,
-                                         in double         AngleInRadians) 
+                                         in double         AngleInRadians)
       raises (SALOME::SALOME_Exception);
     SMESH_Mesh RotateObjectMakeMesh (in SMESH_IDSource theObject,
                                      in AxisStruct     Axis,
                                      in double         AngleInRadians,
                                      in boolean        CopyGroups,
-                                     in string         MeshName) 
+                                     in string         MeshName)
       raises (SALOME::SALOME_Exception);
 
     void FindCoincidentNodes (in  double              Tolerance,
-                              out array_of_long_array GroupsOfNodes) 
+                              out array_of_long_array GroupsOfNodes,
+                              in  boolean             SeparateCornersAndMedium)
       raises (SALOME::SALOME_Exception);
 
     void FindCoincidentNodesOnPart (in  SMESH_IDSource      SubMeshOrGroup,
                                     in  double              Tolerance,
-                                    out array_of_long_array GroupsOfNodes) 
+                                    out array_of_long_array GroupsOfNodes,
+                                    in  boolean             SeparateCornersAndMedium)
       raises (SALOME::SALOME_Exception);
 
     void FindCoincidentNodesOnPartBut (in  SMESH_IDSource      SubMeshOrGroup,
                                        in  double              Tolerance,
                                        out array_of_long_array GroupsOfNodes,
-                                       in  ListOfIDSources     ExceptSubMeshOrGroups) 
+                                       in  ListOfIDSources     ExceptSubMeshOrGroups,
+                                       in  boolean             SeparateCornersAndMedium)
       raises (SALOME::SALOME_Exception);
 
-    void MergeNodes (in array_of_long_array GroupsOfNodes) 
+    void MergeNodes (in array_of_long_array GroupsOfNodes)
       raises (SALOME::SALOME_Exception);
 
     /*!
diff --git a/src/SMESH/SMESH_MeshEditor.cxx b/src/SMESH/SMESH_MeshEditor.cxx
index 18666319f..fc945c44e 100644
--- a/src/SMESH/SMESH_MeshEditor.cxx
+++ b/src/SMESH/SMESH_MeshEditor.cxx
@@ -6983,27 +6983,67 @@ SMESH_MeshEditor::generateGroups(const SMESH_SequenceOfElemPtr& nodeGens,
 
 //================================================================================
 /*!
- * \brief Return list of group of nodes close to each other within theTolerance
- *        Search among theNodes or in the whole mesh if theNodes is empty using
- *        an Octree algorithm
+ *  * \brief Return list of group of nodes close to each other within theTolerance
+ *  *        Search among theNodes or in the whole mesh if theNodes is empty using
+ *  *        an Octree algorithm
+ *  \param [in,out] theNodes - the nodes to treat
+ *  \param [in]     theTolerance - the tolerance
+ *  \param [out]    theGroupsOfNodes - the result groups of coincident nodes
+ *  \param [in]     theSeparateCornersAndMedium - if \c true, in quadratic mesh puts 
+ *         corner and medium nodes in separate groups
  */
 //================================================================================
 
 void SMESH_MeshEditor::FindCoincidentNodes (TIDSortedNodeSet &   theNodes,
                                             const double         theTolerance,
-                                            TListOfListOfNodes & theGroupsOfNodes)
+                                            TListOfListOfNodes & theGroupsOfNodes,
+                                            bool                 theSeparateCornersAndMedium)
 {
   myLastCreatedElems.Clear();
   myLastCreatedNodes.Clear();
 
-  if ( theNodes.empty() )
-  { // get all nodes in the mesh
+  if ( myMesh->NbEdges  ( ORDER_QUADRATIC ) +
+       myMesh->NbFaces  ( ORDER_QUADRATIC ) +
+       myMesh->NbVolumes( ORDER_QUADRATIC ) == 0 )
+    theSeparateCornersAndMedium = false;
+
+  TIDSortedNodeSet& corners = theNodes;
+  TIDSortedNodeSet  medium;
+
+  if ( theNodes.empty() ) // get all nodes in the mesh
+  {
+    TIDSortedNodeSet* nodes[2] = { &corners, &medium };
     SMDS_NodeIteratorPtr nIt = GetMeshDS()->nodesIterator(/*idInceasingOrder=*/true);
-    while ( nIt->more() )
-      theNodes.insert( theNodes.end(),nIt->next());
+    if ( theSeparateCornersAndMedium )
+      while ( nIt->more() )
+      {
+        const SMDS_MeshNode* n = nIt->next();
+        TIDSortedNodeSet* & nodeSet = nodes[ SMESH_MesherHelper::IsMedium( n )];
+        nodeSet->insert( nodeSet->end(), n );
+      }
+    else
+      while ( nIt->more() )
+        theNodes.insert( theNodes.end(),nIt->next() );
+  }
+  else if ( theSeparateCornersAndMedium ) // separate corners from medium nodes
+  {
+    TIDSortedNodeSet::iterator nIt = corners.begin();
+    while ( nIt != corners.end() )
+      if ( SMESH_MesherHelper::IsMedium( *nIt ))
+      {
+        medium.insert( medium.end(), *nIt );
+        corners.erase( nIt++ );
+      }
+      else
+      {
+        ++nIt;
+      }
   }
 
-  SMESH_OctreeNode::FindCoincidentNodes ( theNodes, &theGroupsOfNodes, theTolerance);
+  if ( !corners.empty() )
+    SMESH_OctreeNode::FindCoincidentNodes ( corners, &theGroupsOfNodes, theTolerance );
+  if ( !medium.empty() )
+    SMESH_OctreeNode::FindCoincidentNodes ( medium, &theGroupsOfNodes, theTolerance );
 }
 
 //=======================================================================
@@ -7763,7 +7803,7 @@ void SMESH_MeshEditor::FindEqualElements(TIDSortedElemSet &        theElements,
   { // get all elements in the mesh
     SMDS_ElemIteratorPtr eIt = GetMeshDS()->elementsIterator();
     while ( eIt->more() )
-      theElements.insert( theElements.end(), eIt->next());
+      theElements.insert( theElements.end(), eIt->next() );
   }
 
   vector< TGroupOfElems > arrayOfGroups;
@@ -7771,31 +7811,32 @@ void SMESH_MeshEditor::FindEqualElements(TIDSortedElemSet &        theElements,
   TMapOfNodeSet mapOfNodeSet;
 
   TIDSortedElemSet::iterator elemIt = theElements.begin();
-  for ( int i = 0, j=0; elemIt != theElements.end(); ++elemIt, ++j ) {
+  for ( int i = 0; elemIt != theElements.end(); ++elemIt )
+  {
     const SMDS_MeshElement* curElem = *elemIt;
     SortableElement SE(curElem);
-    int ind = -1;
     // check uniqueness
     pair< TMapOfNodeSet::iterator, bool> pp = mapOfNodeSet.insert(make_pair(SE, i));
-    if( !(pp.second) ) {
+    if ( !pp.second ) { // one more coincident elem
       TMapOfNodeSet::iterator& itSE = pp.first;
-      ind = (*itSE).second;
-      arrayOfGroups[ind].push_back(curElem->GetID());
+      int ind = (*itSE).second;
+      arrayOfGroups[ind].push_back( curElem->GetID() );
     }
     else {
-      groupOfElems.clear();
-      groupOfElems.push_back(curElem->GetID());
-      arrayOfGroups.push_back(groupOfElems);
+      arrayOfGroups.push_back( groupOfElems );
+      arrayOfGroups.back().push_back( curElem->GetID() );
       i++;
     }
   }
 
+  groupOfElems.clear();
   vector< TGroupOfElems >::iterator groupIt = arrayOfGroups.begin();
-  for ( ; groupIt != arrayOfGroups.end(); ++groupIt ) {
-    groupOfElems = *groupIt;
-    if ( groupOfElems.size() > 1 ) {
-      groupOfElems.sort();
-      theGroupsOfElementsID.push_back(groupOfElems);
+  for ( ; groupIt != arrayOfGroups.end(); ++groupIt )
+  {
+    if ( groupIt->size() > 1 ) {
+      //groupOfElems.sort(); -- theElements is sorted already
+      theGroupsOfElementsID.push_back( groupOfElems );
+      theGroupsOfElementsID.back().splice( theGroupsOfElementsID.back().end(), *groupIt );
     }
   }
 }
diff --git a/src/SMESH/SMESH_MeshEditor.hxx b/src/SMESH/SMESH_MeshEditor.hxx
index cbe9466de..1dbed7d99 100644
--- a/src/SMESH/SMESH_MeshEditor.hxx
+++ b/src/SMESH/SMESH_MeshEditor.hxx
@@ -440,7 +440,8 @@ public:
 
   void FindCoincidentNodes (TIDSortedNodeSet &   theNodes,
                             const double         theTolerance,
-                            TListOfListOfNodes & theGroupsOfNodes);
+                            TListOfListOfNodes & theGroupsOfNodes,
+                            bool                 theSeparateCornersAndMedium);
   // Return list of group of nodes close to each other within theTolerance.
   // Search among theNodes or in the whole mesh if theNodes is empty.
 
diff --git a/src/SMESHGUI/SMESHGUI_MergeDlg.cxx b/src/SMESHGUI/SMESHGUI_MergeDlg.cxx
index 1a37b7760..5c62beb67 100644
--- a/src/SMESHGUI/SMESHGUI_MergeDlg.cxx
+++ b/src/SMESHGUI/SMESHGUI_MergeDlg.cxx
@@ -93,6 +93,10 @@
 #define SPACING 6
 #define MARGIN  11
 
+namespace
+{
+  enum ActionType { MERGE_NODES, MERGE_ELEMENTS };
+}
 namespace SMESH
 {
   class TIdPreview
@@ -307,7 +311,7 @@ SMESHGUI_MergeDlg::SMESHGUI_MergeDlg (SMESHGUI* theModule, int theAction)
 {
   setModal(false);
   setAttribute(Qt::WA_DeleteOnClose, true);
-  setWindowTitle(myAction == 1 ? tr("SMESH_MERGE_ELEMENTS") : tr("SMESH_MERGE_NODES"));
+  setWindowTitle(myAction == MERGE_ELEMENTS ? tr("SMESH_MERGE_ELEMENTS") : tr("SMESH_MERGE_NODES"));
 
   myIdPreview = new SMESH::TIdPreview(SMESH::GetViewWindow( mySMESHGUI ));
 
@@ -325,7 +329,7 @@ SMESHGUI_MergeDlg::SMESHGUI_MergeDlg (SMESHGUI* theModule, int theAction)
   DlgLayout->setMargin(MARGIN);
 
   /***************************************************************/
-  GroupConstructors = new QGroupBox(myAction == 1 ? 
+  GroupConstructors = new QGroupBox(myAction == MERGE_ELEMENTS ? 
                                     tr("SMESH_MERGE_ELEMENTS") : 
                                     tr("SMESH_MERGE_NODES"), 
                                     this);
@@ -336,7 +340,7 @@ SMESHGUI_MergeDlg::SMESHGUI_MergeDlg (SMESHGUI* theModule, int theAction)
   GroupConstructorsLayout->setMargin(MARGIN);
 
   RadioButton = new QRadioButton(GroupConstructors);
-  RadioButton->setIcon(myAction == 1 ? IconMergeElems : IconMergeNodes);
+  RadioButton->setIcon(myAction == MERGE_ELEMENTS ? IconMergeElems : IconMergeNodes);
   RadioButton->setChecked(true);
   GroupConstructorsLayout->addWidget(RadioButton);
   ButtonGroup->addButton(RadioButton, 0);
@@ -378,7 +382,7 @@ SMESHGUI_MergeDlg::SMESHGUI_MergeDlg (SMESHGUI* theModule, int theAction)
 
   /***************************************************************/
   // Controls for coincident elements detecting
-  GroupCoincident = new QGroupBox(myAction == 1 ? 
+  GroupCoincident = new QGroupBox(myAction == MERGE_ELEMENTS ? 
                                   tr("COINCIDENT_ELEMENTS") : 
                                   tr("COINCIDENT_NODES"), 
                                   this);
@@ -387,12 +391,16 @@ SMESHGUI_MergeDlg::SMESHGUI_MergeDlg (SMESHGUI* theModule, int theAction)
   aCoincidentLayout->setSpacing(SPACING);
   aCoincidentLayout->setMargin(MARGIN);
 
-  if (myAction == 0) { // case merge nodes
+  if (myAction == MERGE_NODES) // case merge nodes
+  {
     QWidget* foo = new QWidget(GroupCoincident);
     TextLabelTolerance = new QLabel(tr("SMESH_TOLERANCE"), foo);
     SpinBoxTolerance = new SMESHGUI_SpinBox(foo);
     SpinBoxTolerance->setSizePolicy(QSizePolicy(QSizePolicy::Expanding, QSizePolicy::Fixed));
 
+    SeparateCornersAndMedium = new QCheckBox(tr("SEPARATE_CORNERS_AND_MEDIUM"), foo);
+    SeparateCornersAndMedium->setEnabled( false );
+
     GroupExclude = new QGroupBox(tr("EXCLUDE_GROUPS"), foo);
     GroupExclude->setCheckable( true );
     GroupExclude->setChecked( false );
@@ -405,9 +413,10 @@ SMESHGUI_MergeDlg::SMESHGUI_MergeDlg (SMESHGUI* theModule, int theAction)
     QGridLayout* fooLayout = new QGridLayout( foo );
     fooLayout->setSpacing(SPACING);
     fooLayout->setMargin(0);
-    fooLayout->addWidget(TextLabelTolerance, 0, 0 );
-    fooLayout->addWidget(SpinBoxTolerance,   0, 1 );
-    fooLayout->addWidget(GroupExclude,       1, 0, 1, 2 );
+    fooLayout->addWidget(TextLabelTolerance,       0, 0 );
+    fooLayout->addWidget(SpinBoxTolerance,         0, 1 );
+    fooLayout->addWidget(SeparateCornersAndMedium, 1, 0 );
+    fooLayout->addWidget(GroupExclude,             2, 0, 1, 2 );
     aCoincidentLayout->addWidget(foo);
   }
   else {
@@ -430,7 +439,7 @@ SMESHGUI_MergeDlg::SMESHGUI_MergeDlg (SMESHGUI* theModule, int theAction)
   RemoveGroupButton = new QPushButton(tr("SMESH_BUT_REMOVE"), GroupCoincidentWidget);
 
   SelectAllCB = new QCheckBox(tr("SELECT_ALL"), GroupCoincidentWidget);
-  ShowIDs = new QCheckBox(myAction == 1 ? tr("SHOW_ELEMS_IDS") : tr("SHOW_NODES_IDS"), GroupCoincidentWidget);
+  ShowIDs = new QCheckBox(myAction == MERGE_ELEMENTS ? tr("SHOW_ELEMS_IDS") : tr("SHOW_NODES_IDS"), GroupCoincidentWidget);
 
   GroupCoincidentLayout->addWidget(ListCoincident,    0,   0, 4, 2);
   GroupCoincidentLayout->addWidget(DetectButton,      0,   2);
@@ -501,9 +510,9 @@ SMESHGUI_MergeDlg::SMESHGUI_MergeDlg (SMESHGUI* theModule, int theAction)
   DlgLayout->addWidget(GroupEdit);
   DlgLayout->addWidget(GroupButtons);
 
-  GroupCoincidentWidget->setVisible( myAction != 0 );
-  GroupCoincident->setVisible( myAction == 0 );
-  //if GroupExclude->setVisible( myAction == 0 );
+  GroupCoincidentWidget->setVisible( myAction != MERGE_NODES );
+  GroupCoincident      ->setVisible( myAction == MERGE_NODES );
+  //if GroupExclude->setVisible( myAction == MERGE_NODES );
   GroupEdit->hide();
 
   this->resize(10,10);
@@ -528,7 +537,7 @@ SMESHGUI_MergeDlg::~SMESHGUI_MergeDlg()
 //=================================================================================
 void SMESHGUI_MergeDlg::Init()
 {
-  if (myAction == 0) {
+  if ( myAction == MERGE_NODES ) {
     SpinBoxTolerance->RangeStepAndValidator(0.0, COORD_MAX, 0.00001, "len_tol_precision");
     SpinBoxTolerance->SetValue(1e-05);
   }
@@ -578,7 +587,7 @@ void SMESHGUI_MergeDlg::Init()
   // Update Buttons
   updateControls();
   
-  if (myAction == 0)
+  if ( myAction == MERGE_NODES )
     myHelpFileName = "merging_nodes_page.html";
   else
     myHelpFileName = "merging_elements_page.html";
@@ -639,7 +648,7 @@ bool SMESHGUI_MergeDlg::ClickOnApply()
     SMESH::array_of_long_array_var aGroupsOfElements = new SMESH::array_of_long_array;
 
     if ( ListCoincident->count() == 0) {
-      if (myAction == 0)
+      if ( myAction == MERGE_NODES )
         SUIT_MessageBox::warning(this,
                                  tr("SMESH_WARNING"),
                                  tr("SMESH_NO_NODES_DETECTED"));
@@ -663,13 +672,13 @@ bool SMESHGUI_MergeDlg::ClickOnApply()
       aGroupsOfElements[anArrayNum++] = anIds.inout();
     }
 
-    if( myAction == 0 )
+    if( myAction == MERGE_NODES )
       aMeshEditor->MergeNodes (aGroupsOfElements.inout());
     else
       aMeshEditor->MergeElements (aGroupsOfElements.inout());
 
     if ( myTypeId == 0 ) {
-      if (myAction == 0 )
+      if (myAction == MERGE_NODES )
         SUIT_MessageBox::information(SMESHGUI::desktop(), tr("SMESH_INFORMATION"),
                                      tr("SMESH_MERGED_NODES").arg(QString::number(ListCoincident->count()).toLatin1().data()));
       else
@@ -805,6 +814,16 @@ void SMESHGUI_MergeDlg::updateControls()
   buttonOk->setEnabled(enable);
   buttonApply->setEnabled(enable);
   DetectButton->setEnabled( !myMesh->_is_nil() );
+
+  if ( myAction == MERGE_NODES )
+  {
+    bool has2ndOrder = (( !myMesh->_is_nil() ) &&
+                        ( myMesh->NbEdgesOfOrder( SMESH::ORDER_QUADRATIC ) > 0 ||
+                          myMesh->NbFacesOfOrder( SMESH::ORDER_QUADRATIC ) > 0 ||
+                          myMesh->NbVolumesOfOrder( SMESH::ORDER_QUADRATIC ) > 0 ));
+
+    SeparateCornersAndMedium->setEnabled( has2ndOrder );
+  }
 }
 
 //=================================================================================
@@ -831,7 +850,7 @@ void SMESHGUI_MergeDlg::onDetect()
     else src = SMESH::SMESH_IDSource::_duplicate( mySubMeshOrGroup );
 
     switch (myAction) {
-    case 0 :
+    case MERGE_NODES :
       for ( int i = 0; GroupExclude->isChecked() && i < ListExclude->count(); i++ ) {
         if ( ListExclude->item( i )->checkState() == Qt::Checked ) {
           aExcludeGroups->length( aExcludeGroups->length()+1 );
@@ -841,9 +860,11 @@ void SMESHGUI_MergeDlg::onDetect()
       aMeshEditor->FindCoincidentNodesOnPartBut(src.in(),
                                                 SpinBoxTolerance->GetValue(), 
                                                 aGroupsArray.out(),
-                                                aExcludeGroups.in());
+                                                aExcludeGroups.in(),
+                                                SeparateCornersAndMedium->isEnabled() &&
+                                                SeparateCornersAndMedium->isChecked());
       break;
-    case 1 :
+    case MERGE_ELEMENTS :
       aMeshEditor->FindEqualElements(src.in(), aGroupsArray.out());
       break;
     }
@@ -906,7 +927,7 @@ void SMESHGUI_MergeDlg::onSelectGroup()
   mySelectionMgr->setSelectedObjects(aList,false);
   
   if (ShowIDs->isChecked()) 
-    if (myAction == 0) {
+    if ( myAction == MERGE_NODES ) {
       myIdPreview->SetPointsData(myActor->GetObject()->GetMesh(), anIndices);
       myIdPreview->SetPointsLabeled(!anIndices.IsEmpty(), myActor->GetVisibility());
     }
@@ -959,7 +980,7 @@ void SMESHGUI_MergeDlg::onSelectElementFromGroup()
   mySelectionMgr->setSelectedObjects(aList);
   
   if (ShowIDs->isChecked())
-    if (myAction == 0) {
+    if (myAction == MERGE_NODES) {
       myIdPreview->SetPointsData(myActor->GetObject()->GetMesh(), anIndices);
       myIdPreview->SetPointsLabeled(!anIndices.IsEmpty(), myActor->GetVisibility());
     }
@@ -1187,13 +1208,13 @@ void SMESHGUI_MergeDlg::SelectionIntoArgument()
     if ( myActor && myTypeId == 1 && mySelector->IsSelectionEnabled() ) {
       mySubMeshOrGroup = SMESH::SMESH_IDSource::_nil();
       mySelectionMgr->installFilter(myMeshOrSubMeshOrGroupFilter);
-      
+
       if ((!SMESH::IObjectToInterface<SMESH::SMESH_subMesh>(IO)->_is_nil() || //SUBMESH OR GROUP
            !SMESH::IObjectToInterface<SMESH::SMESH_GroupBase>(IO)->_is_nil()) &&
           !SMESH::IObjectToInterface<SMESH::SMESH_IDSource>(IO)->_is_nil())
         mySubMeshOrGroup = SMESH::IObjectToInterface<SMESH::SMESH_IDSource>(IO);
-      
-      if (myAction == 0) {
+
+      if (myAction == MERGE_NODES) {
         SMESH::SetPointRepresentation(true);
         if ( SVTK_ViewWindow* aViewWindow = SMESH::GetViewWindow( mySMESHGUI ))
           aViewWindow->SetSelectionMode(NodeSelection);
@@ -1204,7 +1225,7 @@ void SMESHGUI_MergeDlg::SelectionIntoArgument()
     }
 
     // process groups
-    if ( myAction == 0 && !myMesh->_is_nil() && myEntry != aCurrentEntry ) {
+    if ( myAction == MERGE_NODES && !myMesh->_is_nil() && myEntry != aCurrentEntry ) {
       myGroups.clear();
       ListExclude->clear();
       SMESH::ListOfGroups_var aListOfGroups = myMesh->GetGroups();
@@ -1317,7 +1338,7 @@ void SMESHGUI_MergeDlg::onTypeChanged (int id)
     if ( SVTK_ViewWindow* aViewWindow = SMESH::GetViewWindow( mySMESHGUI ))
       aViewWindow->SetSelectionMode(ActorSelection);
     mySelectionMgr->clearFilters();
-    if (myAction == 0)
+    if (myAction == MERGE_NODES)
       GroupCoincidentWidget->hide();
     else
       GroupCoincident->hide();
@@ -1338,7 +1359,7 @@ void SMESHGUI_MergeDlg::onTypeChanged (int id)
     myMeshOrSubMeshOrGroupFilter =
       new SMESH_LogicalFilter (aListOfFilters, SMESH_LogicalFilter::LO_OR);
 
-    if (myAction == 0) {
+    if (myAction == MERGE_NODES) {
       GroupCoincidentWidget->show();
       SMESH::SetPointRepresentation(true);
       if ( SVTK_ViewWindow* aViewWindow = SMESH::GetViewWindow( mySMESHGUI ))
diff --git a/src/SMESHGUI/SMESHGUI_MergeDlg.h b/src/SMESHGUI/SMESHGUI_MergeDlg.h
index b003b3842..7e777ea43 100644
--- a/src/SMESHGUI/SMESHGUI_MergeDlg.h
+++ b/src/SMESHGUI/SMESHGUI_MergeDlg.h
@@ -125,6 +125,7 @@ private:
   QWidget*                  GroupCoincidentWidget;
   QLabel*                   TextLabelTolerance;
   SMESHGUI_SpinBox*         SpinBoxTolerance;
+  QCheckBox*                SeparateCornersAndMedium;
   QPushButton*              DetectButton;
   QListWidget*              ListCoincident;
   QPushButton*              AddGroupButton;
diff --git a/src/SMESHGUI/SMESH_msg_en.ts b/src/SMESHGUI/SMESH_msg_en.ts
index 45b444feb..45fef3733 100644
--- a/src/SMESHGUI/SMESH_msg_en.ts
+++ b/src/SMESHGUI/SMESH_msg_en.ts
@@ -5100,6 +5100,10 @@ Please select a group and try again</translation>
         <source>EXCLUDE_GROUPS</source>
         <translation>Exclude Groups</translation>
     </message>
+    <message>
+        <source>SEPARATE_CORNERS_AND_MEDIUM</source>
+        <translation>No merge of corner and medium nodes</translation>
+    </message>
 </context>
 <context>
     <name>SMESHGUI_ExtrusionAlongPathDlg</name>
diff --git a/src/SMESHUtils/SMESH_OctreeNode.cxx b/src/SMESHUtils/SMESH_OctreeNode.cxx
index 6225108bd..772a50f99 100644
--- a/src/SMESHUtils/SMESH_OctreeNode.cxx
+++ b/src/SMESHUtils/SMESH_OctreeNode.cxx
@@ -275,42 +275,33 @@ void SMESH_OctreeNode::FindCoincidentNodes (TIDSortedNodeSet& theSetOfNodes,
  * \param theGroupsOfNodes - list of nodes closed to each other returned
  */
 //=============================
-void SMESH_OctreeNode::FindCoincidentNodes ( TIDSortedNodeSet* theSetOfNodes,
-                                             const double               theTolerance,
+void SMESH_OctreeNode::FindCoincidentNodes ( TIDSortedNodeSet*                    theSetOfNodes,
+                                             const double                         theTolerance,
                                              list< list< const SMDS_MeshNode*> >* theGroupsOfNodes)
 {
   TIDSortedNodeSet::iterator it1 = theSetOfNodes->begin();
   list<const SMDS_MeshNode*>::iterator it2;
 
+  list<const SMDS_MeshNode*> ListOfCoincidentNodes;
+  TIDCompare idLess;
+
   while (it1 != theSetOfNodes->end())
   {
     const SMDS_MeshNode * n1 = *it1;
 
-    list<const SMDS_MeshNode*> ListOfCoincidentNodes;// Initialize the lists via a declaration, it's enough
-
-    list<const SMDS_MeshNode*> * groupPtr = 0;
-
     // Searching for Nodes around n1 and put them in ListofCoincidentNodes.
     // Found nodes are also erased from theSetOfNodes
     FindCoincidentNodes(n1, theSetOfNodes, &ListOfCoincidentNodes, theTolerance);
 
-    // We build a list {n1 + his neigbours} and add this list in theGroupsOfNodes
-    for (it2 = ListOfCoincidentNodes.begin(); it2 != ListOfCoincidentNodes.end(); it2++)
+    if ( !ListOfCoincidentNodes.empty() )
     {
-      const SMDS_MeshNode* n2 = *it2;
-      if ( !groupPtr )
-      {
-        theGroupsOfNodes->push_back( list<const SMDS_MeshNode*>() );
-        groupPtr = & theGroupsOfNodes->back();
-        groupPtr->push_back( n1 );
-      }
-      if (groupPtr->front() > n2)
-        groupPtr->push_front( n2 );
-      else
-        groupPtr->push_back( n2 );
+      // We build a list {n1 + his neigbours} and add this list in theGroupsOfNodes
+      if ( idLess( n1, ListOfCoincidentNodes.front() )) ListOfCoincidentNodes.push_front( n1 );
+      else                                              ListOfCoincidentNodes.push_back ( n1 );
+      ListOfCoincidentNodes.sort( idLess );
+      theGroupsOfNodes->push_back( list<const SMDS_MeshNode*>() );
+      theGroupsOfNodes->back().splice( theGroupsOfNodes->back().end(), ListOfCoincidentNodes );
     }
-    if (groupPtr != 0)
-      groupPtr->sort();
 
     theSetOfNodes->erase(it1);
     it1 = theSetOfNodes->begin();
diff --git a/src/SMESH_I/SMESH_Gen_i.cxx b/src/SMESH_I/SMESH_Gen_i.cxx
index 81d0e15c1..3afdb9f1f 100644
--- a/src/SMESH_I/SMESH_Gen_i.cxx
+++ b/src/SMESH_I/SMESH_Gen_i.cxx
@@ -2632,11 +2632,12 @@ SMESH_Gen_i::ConcatenateCommon(const SMESH::ListOfIDSources& theMeshesArray,
     } // if an IDSource is a mesh
   } //meshes loop
 
-  if (theMergeNodesAndElements) {
-    // merge nodes
+  if (theMergeNodesAndElements) // merge nodes
+  {
     TIDSortedNodeSet aMeshNodes; // no input nodes
     SMESH_MeshEditor::TListOfListOfNodes aGroupsOfNodes;
-    aNewEditor.FindCoincidentNodes( aMeshNodes, theMergeTolerance, aGroupsOfNodes );
+    aNewEditor.FindCoincidentNodes( aMeshNodes, theMergeTolerance, aGroupsOfNodes,
+                                    /*SeparateCornersAndMedium=*/ false );
     aNewEditor.MergeNodes( aGroupsOfNodes );
     // merge elements
     aNewEditor.MergeEqualElements();
diff --git a/src/SMESH_I/SMESH_MeshEditor_i.cxx b/src/SMESH_I/SMESH_MeshEditor_i.cxx
index 06481f54b..157983e3c 100644
--- a/src/SMESH_I/SMESH_MeshEditor_i.cxx
+++ b/src/SMESH_I/SMESH_MeshEditor_i.cxx
@@ -3952,25 +3952,24 @@ SMESH_MeshEditor_i::ScaleMakeMesh(SMESH::SMESH_IDSource_ptr  theObject,
 
 
 //=======================================================================
-//function : FindCoincidentNodes
+//function : findCoincidentNodes
 //purpose  :
 //=======================================================================
 
-void SMESH_MeshEditor_i::FindCoincidentNodes (CORBA::Double                  Tolerance,
-                                              SMESH::array_of_long_array_out GroupsOfNodes)
-  throw (SALOME::SALOME_Exception)
+void SMESH_MeshEditor_i::
+findCoincidentNodes (TIDSortedNodeSet &             Nodes,
+                     CORBA::Double                  Tolerance,
+                     SMESH::array_of_long_array_out GroupsOfNodes,
+                     CORBA::Boolean                 SeparateCornersAndMedium)
 {
-  SMESH_TRY;
-  initData();
-
   ::SMESH_MeshEditor::TListOfListOfNodes aListOfListOfNodes;
-  TIDSortedNodeSet nodes; // no input nodes
-  getEditor().FindCoincidentNodes( nodes, Tolerance, aListOfListOfNodes );
+  getEditor().FindCoincidentNodes( Nodes, Tolerance, aListOfListOfNodes, SeparateCornersAndMedium );
 
   GroupsOfNodes = new SMESH::array_of_long_array;
   GroupsOfNodes->length( aListOfListOfNodes.size() );
   ::SMESH_MeshEditor::TListOfListOfNodes::iterator llIt = aListOfListOfNodes.begin();
-  for ( CORBA::Long i = 0; llIt != aListOfListOfNodes.end(); llIt++, i++ ) {
+  for ( CORBA::Long i = 0; llIt != aListOfListOfNodes.end(); llIt++, i++ )
+  {
     list< const SMDS_MeshNode* >& aListOfNodes = *llIt;
     list< const SMDS_MeshNode* >::iterator lIt = aListOfNodes.begin();;
     SMESH::long_array& aGroup = (*GroupsOfNodes)[ i ];
@@ -3978,8 +3977,28 @@ void SMESH_MeshEditor_i::FindCoincidentNodes (CORBA::Double                  Tol
     for ( int j = 0; lIt != aListOfNodes.end(); lIt++, j++ )
       aGroup[ j ] = (*lIt)->GetID();
   }
+}
+
+//=======================================================================
+//function : FindCoincidentNodes
+//purpose  :
+//=======================================================================
+
+void SMESH_MeshEditor_i::
+FindCoincidentNodes (CORBA::Double                  Tolerance,
+                     SMESH::array_of_long_array_out GroupsOfNodes,
+                     CORBA::Boolean                 SeparateCornersAndMedium)
+  throw (SALOME::SALOME_Exception)
+{
+  SMESH_TRY;
+  initData();
+
+  TIDSortedNodeSet nodes; // no input nodes
+  findCoincidentNodes( nodes, Tolerance, GroupsOfNodes, SeparateCornersAndMedium );
+
   TPythonDump() << "coincident_nodes = " << this << ".FindCoincidentNodes( "
-                << Tolerance << " )";
+                << Tolerance << ", "
+                << SeparateCornersAndMedium << " )";
 
   SMESH_CATCH( SMESH::throwCorbaException );
 }
@@ -3989,9 +4008,11 @@ void SMESH_MeshEditor_i::FindCoincidentNodes (CORBA::Double                  Tol
 //purpose  :
 //=======================================================================
 
-void SMESH_MeshEditor_i::FindCoincidentNodesOnPart(SMESH::SMESH_IDSource_ptr      theObject,
-                                                   CORBA::Double                  Tolerance,
-                                                   SMESH::array_of_long_array_out GroupsOfNodes)
+void SMESH_MeshEditor_i::
+FindCoincidentNodesOnPart(SMESH::SMESH_IDSource_ptr      theObject,
+                          CORBA::Double                  Tolerance,
+                          SMESH::array_of_long_array_out GroupsOfNodes,
+                          CORBA::Boolean                 SeparateCornersAndMedium)
   throw (SALOME::SALOME_Exception)
 {
   SMESH_TRY;
@@ -4000,25 +4021,12 @@ void SMESH_MeshEditor_i::FindCoincidentNodesOnPart(SMESH::SMESH_IDSource_ptr
   TIDSortedNodeSet nodes;
   idSourceToNodeSet( theObject, getMeshDS(), nodes );
 
-  ::SMESH_MeshEditor::TListOfListOfNodes aListOfListOfNodes;
-  if(!nodes.empty())
-    getEditor().FindCoincidentNodes( nodes, Tolerance, aListOfListOfNodes );
+  findCoincidentNodes( nodes, Tolerance, GroupsOfNodes, SeparateCornersAndMedium );
 
-  GroupsOfNodes = new SMESH::array_of_long_array;
-  GroupsOfNodes->length( aListOfListOfNodes.size() );
-  ::SMESH_MeshEditor::TListOfListOfNodes::iterator llIt = aListOfListOfNodes.begin();
-  for ( CORBA::Long i = 0; llIt != aListOfListOfNodes.end(); llIt++, i++ )
-  {
-    list< const SMDS_MeshNode* >& aListOfNodes = *llIt;
-    list< const SMDS_MeshNode* >::iterator lIt = aListOfNodes.begin();;
-    SMESH::long_array& aGroup = (*GroupsOfNodes)[ i ];
-    aGroup.length( aListOfNodes.size() );
-    for ( int j = 0; lIt != aListOfNodes.end(); lIt++, j++ )
-      aGroup[ j ] = (*lIt)->GetID();
-  }
   TPythonDump() << "coincident_nodes_on_part = " << this << ".FindCoincidentNodesOnPart( "
-                <<theObject<<", "
-                << Tolerance << " )";
+                << theObject <<", "
+                << Tolerance << ", "
+                << SeparateCornersAndMedium << " )";
 
   SMESH_CATCH( SMESH::throwCorbaException );
 }
@@ -4034,7 +4042,8 @@ void SMESH_MeshEditor_i::
 FindCoincidentNodesOnPartBut(SMESH::SMESH_IDSource_ptr      theObject,
                              CORBA::Double                  theTolerance,
                              SMESH::array_of_long_array_out theGroupsOfNodes,
-                             const SMESH::ListOfIDSources&  theExceptSubMeshOrGroups)
+                             const SMESH::ListOfIDSources&  theExceptSubMeshOrGroups,
+                             CORBA::Boolean                 theSeparateCornersAndMedium)
   throw (SALOME::SALOME_Exception)
 {
   SMESH_TRY;
@@ -4045,32 +4054,18 @@ FindCoincidentNodesOnPartBut(SMESH::SMESH_IDSource_ptr      theObject,
 
   for ( int i = 0; i < theExceptSubMeshOrGroups.length(); ++i )
   {
-    TIDSortedNodeSet exceptNodes;
-    idSourceToNodeSet( theExceptSubMeshOrGroups[i], getMeshDS(), exceptNodes );
-    TIDSortedNodeSet::iterator avoidNode = exceptNodes.begin();
-    for ( ; avoidNode != exceptNodes.end(); ++avoidNode)
-      nodes.erase( *avoidNode );
+    SMDS_ElemIteratorPtr nodeIt = myMesh_i->GetElements( theExceptSubMeshOrGroups[i],
+                                                         SMESH::NODE );
+    while ( nodeIt->more() )
+      nodes.erase( cast2Node( nodeIt->next() ));
   }
-  ::SMESH_MeshEditor::TListOfListOfNodes aListOfListOfNodes;
-  if(!nodes.empty())
-    getEditor().FindCoincidentNodes( nodes, theTolerance, aListOfListOfNodes );
+  findCoincidentNodes( nodes, theTolerance, theGroupsOfNodes, theSeparateCornersAndMedium );
 
-  theGroupsOfNodes = new SMESH::array_of_long_array;
-  theGroupsOfNodes->length( aListOfListOfNodes.size() );
-  ::SMESH_MeshEditor::TListOfListOfNodes::iterator llIt = aListOfListOfNodes.begin();
-  for ( CORBA::Long i = 0; llIt != aListOfListOfNodes.end(); llIt++, i++ )
-  {
-    list< const SMDS_MeshNode* >& aListOfNodes = *llIt;
-    list< const SMDS_MeshNode* >::iterator lIt = aListOfNodes.begin();;
-    SMESH::long_array& aGroup = (*theGroupsOfNodes)[ i ];
-    aGroup.length( aListOfNodes.size() );
-    for ( int j = 0; lIt != aListOfNodes.end(); lIt++, j++ )
-      aGroup[ j ] = (*lIt)->GetID();
-  }
   TPythonDump() << "coincident_nodes_on_part = " << this << ".FindCoincidentNodesOnPartBut( "
                 << theObject<<", "
                 << theTolerance << ", "
-                << theExceptSubMeshOrGroups << " )";
+                << theExceptSubMeshOrGroups << ", "
+                << theSeparateCornersAndMedium << " )";
 
   SMESH_CATCH( SMESH::throwCorbaException );
 }
diff --git a/src/SMESH_I/SMESH_MeshEditor_i.hxx b/src/SMESH_I/SMESH_MeshEditor_i.hxx
index 2cdf9fa61..6d25784d5 100644
--- a/src/SMESH_I/SMESH_MeshEditor_i.hxx
+++ b/src/SMESH_I/SMESH_MeshEditor_i.hxx
@@ -472,16 +472,19 @@ public:
     throw (SALOME::SALOME_Exception);
 
   void FindCoincidentNodes (CORBA::Double                  Tolerance,
-                            SMESH::array_of_long_array_out GroupsOfNodes)
+                            SMESH::array_of_long_array_out GroupsOfNodes,
+                            CORBA::Boolean                 SeparateCornersAndMedium)
     throw (SALOME::SALOME_Exception);
   void FindCoincidentNodesOnPart(SMESH::SMESH_IDSource_ptr      Object,
                                  CORBA::Double                  Tolerance,
-                                 SMESH::array_of_long_array_out GroupsOfNodes)
+                                 SMESH::array_of_long_array_out GroupsOfNodes,
+                                 CORBA::Boolean                 SeparateCornersAndMedium)
     throw (SALOME::SALOME_Exception);
   void FindCoincidentNodesOnPartBut(SMESH::SMESH_IDSource_ptr      Object,
                                     CORBA::Double                  Tolerance,
                                     SMESH::array_of_long_array_out GroupsOfNodes,
-                                    const SMESH::ListOfIDSources&  ExceptSubMeshOrGroups)
+                                    const SMESH::ListOfIDSources&  ExceptSubMeshOrGroups,
+                                    CORBA::Boolean                 SeparateCornersAndMedium)
     throw (SALOME::SALOME_Exception);
   void MergeNodes (const SMESH::array_of_long_array& GroupsOfNodes)
     throw (SALOME::SALOME_Exception);
@@ -903,6 +906,12 @@ private: //!< private methods
                      const bool                 emptyIfIsMesh = false,
                      IDSource_Error*            error = 0);
 
+  void findCoincidentNodes( TIDSortedNodeSet &             Nodes,
+                            CORBA::Double                  Tolerance,
+                            SMESH::array_of_long_array_out GroupsOfNodes,
+                            CORBA::Boolean                 SeparateCornersAndMedium);
+
+
 
  private: //!< fields
 
diff --git a/src/SMESH_SWIG/smeshBuilder.py b/src/SMESH_SWIG/smeshBuilder.py
index 22e31b4ee..c6e1eabb4 100644
--- a/src/SMESH_SWIG/smeshBuilder.py
+++ b/src/SMESH_SWIG/smeshBuilder.py
@@ -4299,31 +4299,39 @@ class Mesh:
 
     ## Finds groups of adjacent nodes within Tolerance.
     #  @param Tolerance the value of tolerance
-    #  @return the list of pairs of nodes IDs (e.g. [[1,12],[25,4]])
+    #  @param SeparateCornerAndMediumNodes if @c True, in quadratic mesh puts
+    #         corner and medium nodes in separate groups thus preventing
+    #         their further merge.
+    #  @return the list of groups of nodes IDs (e.g. [[1,12,13],[4,25]])
     #  @ingroup l2_modif_trsf
-    def FindCoincidentNodes (self, Tolerance):
-        return self.editor.FindCoincidentNodes(Tolerance)
+    def FindCoincidentNodes (self, Tolerance, SeparateCornerAndMediumNodes=False):
+        return self.editor.FindCoincidentNodes( Tolerance, SeparateCornerAndMediumNodes )
 
     ## Finds groups of ajacent nodes within Tolerance.
     #  @param Tolerance the value of tolerance
     #  @param SubMeshOrGroup SubMesh or Group
     #  @param exceptNodes list of either SubMeshes, Groups or node IDs to exclude from search
-    #  @return the list of pairs of nodes IDs (e.g. [[1,12],[25,4]])
+    #  @param SeparateCornerAndMediumNodes if @c True, in quadratic mesh puts
+    #         corner and medium nodes in separate groups thus preventing
+    #         their further merge.
+    #  @return the list of groups of nodes IDs (e.g. [[1,12,13],[4,25]])
     #  @ingroup l2_modif_trsf
-    def FindCoincidentNodesOnPart (self, SubMeshOrGroup, Tolerance, exceptNodes=[]):
+    def FindCoincidentNodesOnPart (self, SubMeshOrGroup, Tolerance,
+                                   exceptNodes=[], SeparateCornerAndMediumNodes=False):
         unRegister = genObjUnRegister()
         if (isinstance( SubMeshOrGroup, Mesh )):
             SubMeshOrGroup = SubMeshOrGroup.GetMesh()
-        if not isinstance( exceptNodes, list):
+        if not isinstance( exceptNodes, list ):
             exceptNodes = [ exceptNodes ]
-        if exceptNodes and isinstance( exceptNodes[0], int):
-            exceptNodes = [ self.GetIDSource( exceptNodes, SMESH.NODE)]
+        if exceptNodes and isinstance( exceptNodes[0], int ):
+            exceptNodes = [ self.GetIDSource( exceptNodes, SMESH.NODE )]
             unRegister.set( exceptNodes )
-        return self.editor.FindCoincidentNodesOnPartBut(SubMeshOrGroup, Tolerance,exceptNodes)
+        return self.editor.FindCoincidentNodesOnPartBut(SubMeshOrGroup, Tolerance,
+                                                        exceptNodes, SeparateCornerAndMediumNodes)
 
     ## Merges nodes
-    #  @param GroupsOfNodes a list of pairs of nodes IDs for merging
-    #         (e.g. [[1,12],[25,4]], then nodes 12 and 4 will be removed and replaced
+    #  @param GroupsOfNodes a list of groups of nodes IDs for merging
+    #         (e.g. [[1,12,13],[25,4]], then nodes 12, 13 and 4 will be removed and replaced
     #         by nodes 1 and 25 correspondingly in all elements and groups
     #  @ingroup l2_modif_trsf
     def MergeNodes (self, GroupsOfNodes):
@@ -4331,7 +4339,7 @@ class Mesh:
 
     ## Finds the elements built on the same nodes.
     #  @param MeshOrSubMeshOrGroup Mesh or SubMesh, or Group of elements for searching
-    #  @return the list of pairs of equal elements IDs (e.g. [[1,12],[25,4]])
+    #  @return the list of groups of equal elements IDs (e.g. [[1,12,13],[4,25]])
     #  @ingroup l2_modif_trsf
     def FindEqualElements (self, MeshOrSubMeshOrGroup=None):
         if not MeshOrSubMeshOrGroup:
@@ -4341,8 +4349,8 @@ class Mesh:
         return self.editor.FindEqualElements( MeshOrSubMeshOrGroup )
 
     ## Merges elements in each given group.
-    #  @param GroupsOfElementsID a list of pairs of elements IDs for merging
-    #        (e.g. [[1,12],[25,4]], then elements 12 and 4 will be removed and
+    #  @param GroupsOfElementsID a list of groups of elements IDs for merging
+    #        (e.g. [[1,12,13],[25,4]], then elements 12, 13 and 4 will be removed and
     #        replaced by elements 1 and 25 in all groups)
     #  @ingroup l2_modif_trsf
     def MergeElements(self, GroupsOfElementsID):
diff --git a/src/StdMeshers/StdMeshers_QuadFromMedialAxis_1D2D.cxx b/src/StdMeshers/StdMeshers_QuadFromMedialAxis_1D2D.cxx
index 8740859d0..ea8fdc936 100644
--- a/src/StdMeshers/StdMeshers_QuadFromMedialAxis_1D2D.cxx
+++ b/src/StdMeshers/StdMeshers_QuadFromMedialAxis_1D2D.cxx
@@ -592,7 +592,8 @@ namespace
   //================================================================================
 
   TopoDS_Edge makeEdgeFromMA( SMESH_MesherHelper&            theHelper,
-                              const SMESH_MAT2d::MedialAxis& theMA )
+                              const SMESH_MAT2d::MedialAxis& theMA,
+                              const double                   theMinSegLen)
   {
     if ( theMA.nbBranches() != 1 )
       return TopoDS_Edge();
@@ -605,14 +606,31 @@ namespace
     TopoDS_Face face = TopoDS::Face( theHelper.GetSubShape() );
     Handle(Geom_Surface) surface = BRep_Tool::Surface( face );
 
+    vector< gp_Pnt > pnt;
+    pnt.reserve( uv.size() * 2 );
+    pnt.push_back( surface->Value( uv[0].X(), uv[0].Y() ));
+    for ( size_t i = 1; i < uv.size(); ++i )
+    {
+      gp_Pnt p = surface->Value( uv[i].X(), uv[i].Y() );
+      int nbDiv = int( p.Distance( pnt.back() ) / theMinSegLen );
+      for ( int iD = 1; iD < nbDiv; ++iD )
+      {
+        double  R = iD / double( nbDiv );
+        gp_XY uvR = uv[i-1] * (1 - R) + uv[i] * R;
+        pnt.push_back( surface->Value( uvR.X(), uvR.Y() ));
+      }
+      pnt.push_back( p );
+    }
+
     // cout << "from salome.geom import geomBuilder" << endl;
     // cout << "geompy = geomBuilder.New(salome.myStudy)" << endl;
-    Handle(TColgp_HArray1OfPnt) points = new TColgp_HArray1OfPnt(1, uv.size());
-    for ( size_t i = 0; i < uv.size(); ++i )
+    Handle(TColgp_HArray1OfPnt) points = new TColgp_HArray1OfPnt(1, pnt.size());
+    for ( size_t i = 0; i < pnt.size(); ++i )
     {
-      gp_Pnt p = surface->Value( uv[i].X(), uv[i].Y() );
+      gp_Pnt& p = pnt[i];
       points->SetValue( i+1, p );
-      //cout << "geompy.MakeVertex( "<< p.X()<<", " << p.Y()<<", " << p.Z()<<" )" << endl;
+      // cout << "geompy.MakeVertex( "<< p.X()<<", " << p.Y()<<", " << p.Z()
+      //      <<" theName = 'p_" << i << "')" << endl;
     }
 
     GeomAPI_Interpolate interpol( points, /*isClosed=*/false, gp::Resolution());
@@ -658,6 +676,7 @@ namespace
                  const SMESH_MAT2d::MedialAxis& theMA,
                  const SinuousFace&             theSinuFace,
                  SMESH_Algo*                    the1dAlgo,
+                 const double                   theMinSegLen,
                  vector<double>&                theMAParams )
   {
     // check if all EDGEs of one size are meshed, then MA discretization is not needed
@@ -674,7 +693,7 @@ namespace
       return true; // discretization is not needed
 
 
-    TopoDS_Edge branchEdge = makeEdgeFromMA( theHelper, theMA );
+    TopoDS_Edge branchEdge = makeEdgeFromMA( theHelper, theMA, theMinSegLen );
     if ( branchEdge.IsNull() )
       return false;
 
@@ -1446,7 +1465,7 @@ bool StdMeshers_QuadFromMedialAxis_1D2D::Compute(SMESH_Mesh&         theMesh,
     _regular1D->SetSegmentLength( minSegLen );
 
     vector<double> maParams;
-    if ( ! divideMA( helper, ma, sinuFace, _regular1D, maParams ))
+    if ( ! divideMA( helper, ma, sinuFace, _regular1D, minSegLen, maParams ))
       return error(COMPERR_BAD_SHAPE);
 
     _progress = 0.4;
-- 
2.39.2