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[bos #29470][EDF](2022-T1) Advanced geometry features: cloud point on a face
[modules/shaper.git] / src / GeomAlgoAPI / GeomAlgoAPI_PointCloudOnFace.cpp
diff --git a/src/GeomAlgoAPI/GeomAlgoAPI_PointCloudOnFace.cpp b/src/GeomAlgoAPI/GeomAlgoAPI_PointCloudOnFace.cpp
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+// Copyright (C) 2014-2022  CEA/DEN, EDF R&D
+//
+// This library is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+//
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+// Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License along with this library; if not, write to the Free Software
+// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307 USA
+//
+// See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
+//
+
+#include "GeomAlgoAPI_PointCloudOnFace.h"
+
+#include <TopoDS_Shape.hxx>
+#include <TopoDS_Face.hxx>
+#include <TopoDS.hxx>
+#include <BRep_Tool.hxx>
+#include <BRep_Builder.hxx>
+#include <BRepTools.hxx>
+#include <BRepTools_WireExplorer.hxx>
+#include <BRepTopAdaptor_FClass2d.hxx>
+#include <BRepLib_MakeVertex.hxx>
+#include <GeomLib.hxx>
+#include <gp_Ax3.hxx>
+#include <Geom_Plane.hxx>
+#include <gp_Pln.hxx>
+#include <TopoDS_Iterator.hxx>
+#include <TopExp_Explorer.hxx>
+#include <TopExp.hxx>
+#include <GProp_GProps.hxx>
+#include <BRepGProp.hxx>
+#include <ShapeAnalysis.hxx>
+#include <ShapeAnalysis_Surface.hxx>
+#include <ShapeUpgrade_UnifySameDomain.hxx>
+#include <ShapeUpgrade_ShapeDivideArea.hxx>
+#include <BRepAdaptor_Surface.hxx>
+#include <BRepAdaptor_Curve2d.hxx>
+#include <BRepBndLib.hxx>
+#include <GeomLProp_SLProps.hxx>
+#include <BRepBuilderAPI_MakeEdge.hxx>
+#include <TopTools_DataMapOfShapeReal.hxx>
+
+#include <Standard_Version.hxx>
+// code from KERNEL_SRC/src/Basics/Basics_OCCTVersion.hxx
+#ifdef OCC_VERSION_SERVICEPACK
+#  define OCC_VERSION_LARGE (OCC_VERSION_MAJOR << 24 | OCC_VERSION_MINOR << 16 | OCC_VERSION_MAINTENANCE << 8 | OCC_VERSION_SERVICEPACK)
+#else
+#  ifdef OCC_VERSION_DEVELOPMENT
+#    define OCC_VERSION_LARGE ((OCC_VERSION_MAJOR << 24 | OCC_VERSION_MINOR << 16 | OCC_VERSION_MAINTENANCE << 8)-1)
+#  else
+#    define OCC_VERSION_LARGE (OCC_VERSION_MAJOR << 24 | OCC_VERSION_MINOR << 16 | OCC_VERSION_MAINTENANCE << 8)
+#  endif
+#endif
+
+#include <algorithm>
+
+Standard_Boolean comp(const std::pair<TopoDS_Shape, Standard_Real>& theA,
+                      const std::pair<TopoDS_Shape, Standard_Real>& theB)
+{
+  return (theA.second < theB.second);
+}
+
+Standard_Boolean IsUiso (const TopoDS_Edge& theEdge,
+                         const TopoDS_Face& theFace)
+{
+  BRepAdaptor_Curve2d aBAcurve2d (theEdge, theFace);
+  gp_Pnt2d aP2d;
+  gp_Vec2d aVec;
+  aBAcurve2d.D1 (aBAcurve2d.FirstParameter(), aP2d, aVec);
+  return (Abs(aVec.Y()) > Abs(aVec.X()));
+}
+
+void CorrectShell (const TopoDS_Shape& theShell,
+                   const TopoDS_Face&  theFace)
+{
+  BRepAdaptor_Surface aBAsurf (theFace, Standard_False);
+  GeomAbs_SurfaceType aType = aBAsurf.GetType();
+  if (aType <= GeomAbs_Torus) //elementary surfaces
+    return;
+
+  TopLoc_Location anInputLoc;
+  const Handle(Geom_Surface)& anInputSurf = BRep_Tool::Surface (theFace, anInputLoc);
+
+  BRep_Builder aBB;
+
+  TopoDS_Iterator anIter (theShell);
+  for (; anIter.More(); anIter.Next())
+  {
+    const TopoDS_Face& aFace = TopoDS::Face (anIter.Value());
+    TopLoc_Location aLoc;
+    const Handle(Geom_Surface)& aSurf = BRep_Tool::Surface (aFace, aLoc);
+    if (aSurf == anInputSurf)
+      continue;
+
+    TopExp_Explorer anExplo (aFace, TopAbs_EDGE);
+    for (; anExplo.More(); anExplo.Next())
+    {
+      const TopoDS_Edge& anEdge = TopoDS::Edge (anExplo.Current());
+      Standard_Real aFirst, aLast;
+      Handle(Geom2d_Curve) aPCurve = BRep_Tool::CurveOnSurface (anEdge, aFace, aFirst, aLast);
+      aBB.UpdateEdge (anEdge, aPCurve, anInputSurf, anInputLoc, 0.);
+    }
+    Standard_Real aTol = BRep_Tool::Tolerance (aFace);
+    aBB.UpdateFace (aFace, anInputSurf, anInputLoc, aTol);
+  }
+}
+
+gp_Pnt GetMidPnt2d(const TopoDS_Face&     theFace,
+                   const Standard_Boolean theIsNaturalRestrictions)
+{
+  gp_Pnt aResPnt;
+
+  if (theIsNaturalRestrictions)
+  {
+    BRepAdaptor_Surface aBAsurf (theFace);
+    Standard_Real aUmin, aUmax, aVmin, aVmax;
+    aUmin = aBAsurf.FirstUParameter();
+    aUmax = aBAsurf.LastUParameter();
+    aVmin = aBAsurf.FirstVParameter();
+    aVmax = aBAsurf.LastVParameter();
+    aResPnt = aBAsurf.Value ((aUmin + aUmax)/2, (aVmin + aVmax)/2);
+  }
+  else
+  {
+    const Standard_Integer aNbSamples = 4;
+    TopoDS_Wire aWire = BRepTools::OuterWire (theFace);
+    TopTools_IndexedMapOfShape aEmap;
+    TopExp::MapShapes (aWire, TopAbs_EDGE, aEmap);
+    Standard_Integer aNbPointsOnContour = aNbSamples * aEmap.Extent();
+    TColgp_Array1OfPnt anArray (1, aNbPointsOnContour);
+
+    BRepTools_WireExplorer aWexp (aWire, theFace);
+    Standard_Integer anInd = 0;
+    for (; aWexp.More(); aWexp.Next())
+    {
+      const TopoDS_Edge& anEdge = aWexp.Current();
+      BRepAdaptor_Curve2d aBAcurve2d (anEdge, theFace);
+      Standard_Real aDelta = (aBAcurve2d.LastParameter() - aBAcurve2d.FirstParameter())/aNbSamples;
+      for (Standard_Integer ii = 0; ii < aNbSamples; ii++)
+      {
+        Standard_Real aParam = aBAcurve2d.FirstParameter() + ii * aDelta;
+        gp_Pnt2d aP2d = aBAcurve2d.Value (aParam);
+        gp_Pnt aPnt (aP2d.X(), aP2d.Y(), 0.);
+        anArray (++anInd) = aPnt;
+      }
+    }
+
+    gp_Ax2 anAxis;
+    Standard_Boolean anIsSingular;
+    GeomLib::AxeOfInertia (anArray, anAxis, anIsSingular);
+    gp_Pnt aBaryCentre = anAxis.Location();
+    gp_Pnt2d aCentre2d (aBaryCentre.X(), aBaryCentre.Y());
+    BRepTopAdaptor_FClass2d aClassifier (theFace, Precision::Confusion());
+    BRepAdaptor_Surface aBAsurf (theFace, Standard_False);
+
+    TopAbs_State aStatus = aClassifier.Perform (aCentre2d);
+    gp_Pnt2d aP2d = aCentre2d;
+    Standard_Integer anIndVertex = 0;
+    const Standard_Integer aNbIter = 10;
+    while (aStatus != TopAbs_IN && anIndVertex < aNbPointsOnContour)
+    {
+      gp_Pnt aVertexPnt = anArray (anIndVertex+1);
+      gp_Pnt2d aVertexP2d (aVertexPnt.X(), aVertexPnt.Y());
+      TColgp_SequenceOfPnt2d aPseq;
+      aPseq.Append (aCentre2d);
+      aPseq.Append (aVertexP2d);
+      for (Standard_Integer ii = 1; ii <= aNbIter; ii++)
+      {
+        for (Standard_Integer jj = 1; jj < aPseq.Length(); jj++)
+        {
+          aP2d.SetXY ((aPseq(jj).XY() + aPseq(jj+1).XY())/2);
+          aStatus = aClassifier.Perform (aP2d);
+          if (aStatus == TopAbs_IN)
+            break;
+          else
+          {
+            aPseq.InsertAfter (jj, aP2d);
+            jj++;
+          }
+        }
+        if (aStatus == TopAbs_IN)
+          break;
+      }
+      anIndVertex += aNbSamples;
+    }
+    aResPnt = aBAsurf.Value (aP2d.X(), aP2d.Y());
+  } //case of complex boundaries
+
+  return aResPnt;
+}
+
+void ModifyFacesForGlobalResult(const TopoDS_Face&     theInputFace,
+                                const Standard_Real    theAverageArea,
+                                const Standard_Boolean theIsToAddFaces,
+                                Standard_Integer&      theNbExtremalFaces,
+                                TopTools_MapOfShape&   theExtremalFaces,
+                                const std::vector<std::pair<TopoDS_Shape, Standard_Real>> theFacesAndAreas,
+                                const TopTools_DataMapOfShapeReal& theFaceAreaMap,
+                                const TopTools_IndexedDataMapOfShapeListOfShape& theEFmap,
+                                TopoDS_Shape&          theRes,
+                                TopoDS_Shape&          theGlobalRes,
+                                TopTools_MapOfShape&   theRemovedFaces)
+{
+  BRep_Builder aBB;
+  const Standard_Integer aNbFaces = (Standard_Integer) theFacesAndAreas.size();
+
+  const Standard_Integer aDiff = theNbExtremalFaces - theRemovedFaces.Extent();
+
+  Standard_Integer aSum = 0;
+  while (aSum < aDiff) //global loop
+  {
+    Standard_Integer aNbFacesDone = 0, aNbFacesInTape = 0;
+    TopoDS_Face aStartFace;
+
+    Standard_Integer aStartIndex = (theIsToAddFaces)? aNbFaces-1 : 0;
+    Standard_Integer anEndIndex  = (theIsToAddFaces)? 0 : aNbFaces-1;
+    Standard_Integer aStep = (theIsToAddFaces)? -1 : 1;
+
+    for (Standard_Integer ii = aStartIndex; ii != anEndIndex; ii += aStep)
+    {
+      const TopoDS_Face& aFace = TopoDS::Face (theFacesAndAreas[ii].first);
+      if (!theRemovedFaces.Contains(aFace))
+      {
+        aStartFace = aFace;
+        break;
+      }
+    }
+    if (aStartFace.IsNull())
+      break;
+
+    theRemovedFaces.Add (aStartFace);
+
+    TopoDS_Edge aCommonEdge;
+    TopoDS_Face aNextFace;
+    Standard_Real anExtremalArea = (theIsToAddFaces)? 0. : Precision::Infinite();
+    for (TopExp_Explorer anExplo(aStartFace, TopAbs_EDGE); anExplo.More(); anExplo.Next())
+    {
+      const TopoDS_Edge& anEdge = TopoDS::Edge (anExplo.Current());
+      const TopTools_ListOfShape& aFaceList = theEFmap.FindFromKey (anEdge);
+      TopTools_ListIteratorOfListOfShape anItl (aFaceList);
+      for (; anItl.More(); anItl.Next())
+      {
+        const TopoDS_Face& aFace = TopoDS::Face (anItl.Value());
+        if (aFace.IsSame (aStartFace) ||
+            theRemovedFaces.Contains(aFace))
+          continue;
+        Standard_Real anArea = theFaceAreaMap(aFace);
+        Standard_Boolean anIsToExchange = (theIsToAddFaces)? (anArea > anExtremalArea) : (anArea < anExtremalArea);
+        if (anIsToExchange)
+        {
+          anExtremalArea = anArea;
+          aCommonEdge = anEdge;
+          aNextFace = aFace;
+        }
+      }
+    }
+    if (aCommonEdge.IsNull()) //all adjacent faces are already removed
+    {
+      theExtremalFaces.Add (theFacesAndAreas[theNbExtremalFaces].first);
+      theNbExtremalFaces++;
+      continue;
+    }
+
+    //Start filling the shell
+    aBB.Remove (theRes, aStartFace);
+    aNbFacesDone++;
+    TopoDS_Shell aShell;
+    aBB.MakeShell (aShell);
+    Standard_Real anAreaOfTape = 0.;
+    aBB.Add (aShell, aStartFace);
+    aNbFacesInTape++;
+    anAreaOfTape += theFaceAreaMap (aStartFace);
+
+    Standard_Boolean anIsUiso = IsUiso (aCommonEdge, aStartFace);
+    //Find another faces on this level
+    TopoDS_Face aCurrentFace = aNextFace;
+    TopoDS_Edge aCurrentEdge = aCommonEdge;
+    Standard_Boolean anIsFirstDirection = Standard_True;
+    aBB.Remove (theRes, aCurrentFace);
+    theRemovedFaces.Add (aCurrentFace);
+    if (theExtremalFaces.Contains (aCurrentFace))
+    {
+      aNbFacesDone++;
+    }
+    aBB.Add (aShell, aCurrentFace);
+    aNbFacesInTape++;
+    anAreaOfTape += theFaceAreaMap (aCurrentFace);
+    Standard_Boolean anIsRound = Standard_False;
+    for (;;) //local loop
+    {
+      TopoDS_Edge aNextEdge;
+      for (TopExp_Explorer anExplo(aCurrentFace, TopAbs_EDGE); anExplo.More(); anExplo.Next())
+      {
+        const TopoDS_Edge& anEdge = TopoDS::Edge (anExplo.Current());
+        if (anEdge.IsSame (aCurrentEdge))
+          continue;
+        const TopTools_ListOfShape& aFaceList = theEFmap.FindFromKey (anEdge);
+        TopTools_ListIteratorOfListOfShape anItl (aFaceList);
+        for (; anItl.More(); anItl.Next())
+        {
+          const TopoDS_Face& aFace = TopoDS::Face (anItl.Value());
+          if (aFace.IsSame (aCurrentFace))
+            continue;
+          if (aFace.IsSame (aStartFace))
+          {
+            anIsRound = Standard_True;
+            break;
+          }
+          if (theRemovedFaces.Contains(aFace))
+            continue;
+          if (anIsUiso == IsUiso (anEdge, aFace))
+          {
+            aNextEdge = anEdge;
+            aNextFace = aFace;
+            break;
+          }
+        }
+        if (anIsRound || !aNextEdge.IsNull())
+          break;
+      }
+      if (anIsRound) //round tape: returned to start face
+        break;
+      if (aNextEdge.IsNull())
+      {
+        if (anIsFirstDirection)
+        {
+          aCurrentFace = aStartFace;
+          aCurrentEdge = aCommonEdge;
+          anIsFirstDirection = Standard_False;
+          continue;
+        }
+        else
+          break;
+      }
+
+      aBB.Add (aShell, aNextFace);
+      aNbFacesInTape++;
+      anAreaOfTape += theFaceAreaMap (aNextFace);
+      aBB.Remove (theRes, aNextFace);
+      theRemovedFaces.Add (aNextFace);
+      if (theExtremalFaces.Contains (aNextFace))
+      {
+        aNbFacesDone++;
+      }
+      aCurrentEdge = aNextEdge;
+      aNextEdge.Nullify();
+      aCurrentFace = aNextFace;
+    } //end of local loop
+
+    //Tape is formed
+    Standard_Integer aNumberToSplit = (theIsToAddFaces)? aNbFacesInTape + aNbFacesDone : aNbFacesInTape - aNbFacesDone;
+    if (!theIsToAddFaces && aNbFacesDone > 1)
+    {
+      Standard_Integer aRealNumberToSplit = (aNumberToSplit > 0)? aNumberToSplit : 1;
+      Standard_Real anAverageAreaInTape = anAreaOfTape / aRealNumberToSplit;
+      if (anAverageAreaInTape > theAverageArea)
+      {
+        Standard_Integer aNewNumberToSplit = RealToInt(round(anAreaOfTape / theAverageArea));
+        if (aNewNumberToSplit < aNbFacesInTape)
+        {
+          Standard_Integer aNumberToIncrease = aNewNumberToSplit - aNumberToSplit;
+          for (Standard_Integer jj = theNbExtremalFaces; jj < theNbExtremalFaces + aNumberToIncrease; jj++)
+            theExtremalFaces.Add (theFacesAndAreas[jj].first);
+          theNbExtremalFaces += aNumberToIncrease;
+          aNumberToSplit = aNewNumberToSplit;
+        }
+      }
+    }
+    if (anIsRound && aNumberToSplit <= 1)
+    {
+      Standard_Integer aNumberToIncrease = 3 - aNumberToSplit;
+      for (Standard_Integer jj = theNbExtremalFaces; jj < theNbExtremalFaces + aNumberToIncrease; jj++)
+        theExtremalFaces.Add (theFacesAndAreas[jj].first);
+      theNbExtremalFaces += aNumberToIncrease;
+      aNumberToSplit = 3;
+    }
+    CorrectShell (aShell, theInputFace);
+    ShapeUpgrade_UnifySameDomain aUnifier;
+    aUnifier.Initialize (aShell, Standard_True, Standard_True);
+    aUnifier.Build();
+    TopoDS_Shape aUnifiedShape = aUnifier.Shape();
+    //Splitting
+    TopoDS_Shape aLocalResult = aUnifiedShape;
+    Standard_Integer aNbFacesInLocalResult = 1;
+    if (aNumberToSplit > 1)
+    {
+#if OCC_VERSION_LARGE < 0x07050304
+      aNbFacesInLocalResult = 1;
+#else
+      ShapeUpgrade_ShapeDivideArea aLocalTool (aUnifiedShape);
+      aLocalTool.SetSplittingByNumber (Standard_True);
+      aLocalTool.MaxArea() = -1;
+      if (anIsUiso)
+        aLocalTool.SetNumbersUVSplits (aNumberToSplit, 1);
+      else
+        aLocalTool.SetNumbersUVSplits (1, aNumberToSplit);
+      aLocalTool.Perform();
+      aLocalResult = aLocalTool.Result();
+      aNbFacesInLocalResult = aNumberToSplit;
+#endif
+    }
+    else
+    {
+      if (aNumberToSplit == 0)
+      {
+        theExtremalFaces.Add (theFacesAndAreas[theNbExtremalFaces].first);
+        theNbExtremalFaces++;
+      }
+    }
+    aBB.Add (theGlobalRes, aLocalResult);
+
+    aSum += Abs(aNbFacesInTape - aNbFacesInLocalResult);
+  } //end of global loop
+
+  //Second global loop
+  TopoDS_Compound aSecondComp;
+  aBB.MakeCompound (aSecondComp);
+  while (aSum < aDiff)
+  {
+    TopoDS_Shape aMaxShell;
+    Standard_Integer aMaxNbFaces = 0;
+    TopoDS_Iterator anIter (theGlobalRes);
+    for (; anIter.More(); anIter.Next())
+    {
+      const TopoDS_Shape& aShell = anIter.Value();
+      TopTools_IndexedMapOfShape aFaceMap;
+      TopExp::MapShapes (aShell, TopAbs_FACE, aFaceMap);
+      if (aFaceMap.Extent() > aMaxNbFaces)
+      {
+        aMaxNbFaces = aFaceMap.Extent();
+        aMaxShell = aShell;
+      }
+    }
+
+    if (aMaxNbFaces == 1)
+      break;
+
+    aBB.Remove (theGlobalRes, aMaxShell);
+    //Find iso
+    Standard_Boolean anIsUiso = Standard_True;
+    TopTools_IndexedDataMapOfShapeListOfShape aLocalEFmap;
+    TopExp::MapShapesAndAncestors (aMaxShell, TopAbs_EDGE, TopAbs_FACE, aLocalEFmap);
+    for (Standard_Integer jj = 1; jj <= aLocalEFmap.Extent(); jj++)
+    {
+      const TopoDS_Edge& anEdge = TopoDS::Edge (aLocalEFmap.FindKey(jj));
+      const TopTools_ListOfShape& aFaceList = aLocalEFmap(jj);
+      if (aFaceList.Extent() == 2)
+      {
+        const TopoDS_Face& aFace = TopoDS::Face (aFaceList.First());
+        anIsUiso = IsUiso (anEdge, aFace);
+        break;
+      }
+    }
+    CorrectShell (aMaxShell, theInputFace);
+    ShapeUpgrade_UnifySameDomain aUnifier;
+    aUnifier.Initialize (aMaxShell, Standard_True, Standard_True);
+    aUnifier.Build();
+    TopoDS_Shape aUnifiedShape = aUnifier.Shape();
+    TopoDS_Shape aLocalResult = aUnifiedShape;
+
+    Standard_Integer aNumberToSplit = (theIsToAddFaces)? aMaxNbFaces + (aDiff-aSum) : aMaxNbFaces - (aDiff-aSum);
+    if (aNumberToSplit > 1)
+    {
+#if OCC_VERSION_LARGE < 0x07050304
+      aNumberToSplit = 1;
+#else
+      ShapeUpgrade_ShapeDivideArea aLocalTool (aUnifiedShape);
+      aLocalTool.SetSplittingByNumber (Standard_True);
+      aLocalTool.MaxArea() = -1;
+      if (anIsUiso)
+        aLocalTool.SetNumbersUVSplits (aNumberToSplit, 1);
+      else
+        aLocalTool.SetNumbersUVSplits (1, aNumberToSplit);
+      aLocalTool.Perform();
+      aLocalResult = aLocalTool.Result();
+#endif
+    }
+    else
+      aNumberToSplit = 1;
+
+    aBB.Add (aSecondComp, aLocalResult);
+
+    if (theIsToAddFaces)
+      break;
+    aSum += aMaxNbFaces - aNumberToSplit;
+  }
+  aBB.Add (theGlobalRes, aSecondComp);
+}
+
+//=================================================================================================
+bool GeomAlgoAPI_PointCloudOnFace::PointCloud(GeomShapePtr theFace,
+                                              const int    theNumberOfPoints,
+                                              GeomShapePtr thePoints,
+                                              std::string& theError)
+{
+#ifdef _DEBUG
+  std::cout << "GeomAlgoAPI_PointCloudOnFace::PointCloud" << std::endl;
+#endif
+
+#if OCC_VERSION_LARGE < 0x07050304
+  theError = "Improper OCCT version: please, use OCCT 7.5.3p4 or newer.";
+  return false;
+#else
+
+  if (!theFace.get()) {
+    theError = "Face for point cloud calculation is null";
+    return false;
+  }
+
+  TopoDS_Shape anInputShape = theFace->impl<TopoDS_Shape>();
+
+  if (anInputShape.ShapeType() != TopAbs_FACE) {
+    theError = "Shape for normale calculation is not a face";
+    return false;
+  }
+
+  TopoDS_Face anInputFace = TopoDS::Face (anInputShape);
+
+  ShapeUpgrade_ShapeDivideArea tool (anInputFace);
+  tool.SetSplittingByNumber (Standard_True);
+  tool.NbParts() = theNumberOfPoints;
+  tool.Perform();
+  TopoDS_Shape res = tool.Result();
+
+  BRep_Builder aBB;
+  TopoDS_Compound aGlobalRes;
+  aBB.MakeCompound (aGlobalRes);
+
+  TopTools_IndexedMapOfShape aFaceMap;
+  TopExp::MapShapes (res, TopAbs_FACE, aFaceMap);
+  Standard_Integer aNbFaces = aFaceMap.Extent();
+
+  TopTools_IndexedDataMapOfShapeListOfShape aEFmap;
+  TopExp::MapShapesAndAncestors (res, TopAbs_EDGE, TopAbs_FACE, aEFmap);
+
+  TopTools_MapOfShape aBiggestFaces, aSmallestFaces;
+  Standard_Boolean aUseTriangulation = Standard_True;
+  Standard_Boolean aSkipShared = Standard_False;
+  if (aNbFaces != theNumberOfPoints)
+  {
+    Standard_Real aTotalArea = 0.;
+    std::vector<std::pair<TopoDS_Shape, Standard_Real>> aFacesAndAreas (aNbFaces);
+    for (Standard_Integer ii = 1; ii <= aNbFaces; ii++)
+    {
+      GProp_GProps aProps;
+      BRepGProp::SurfaceProperties (aFaceMap(ii), aProps, aSkipShared, aUseTriangulation);
+      Standard_Real anArea = aProps.Mass();
+      aTotalArea += anArea;
+      std::pair<TopoDS_Shape, Standard_Real> aFaceWithArea (aFaceMap(ii), anArea);
+      aFacesAndAreas[ii-1] = aFaceWithArea;
+    }
+    std::sort (aFacesAndAreas.begin(), aFacesAndAreas.end(), comp);
+
+    Standard_Real anAverageArea = aTotalArea / theNumberOfPoints;
+
+    TopTools_DataMapOfShapeReal aFaceAreaMap;
+    for (Standard_Integer ii = 0; ii < aNbFaces; ii++)
+      aFaceAreaMap.Bind (aFacesAndAreas[ii].first, aFacesAndAreas[ii].second);
+
+    TopTools_MapOfShape aRemovedFaces;
+
+    if (aNbFaces < theNumberOfPoints)
+    {
+      Standard_Integer aNbMissingFaces = theNumberOfPoints - aNbFaces;
+      for (Standard_Integer ii = aNbFaces-1; ii > aNbFaces - aNbMissingFaces - 1; ii--)
+        aBiggestFaces.Add (aFacesAndAreas[ii].first);
+
+      ModifyFacesForGlobalResult (anInputFace, anAverageArea,
+                                  Standard_True, //to add faces
+                                  aNbMissingFaces, aBiggestFaces,
+                                  aFacesAndAreas, aFaceAreaMap, aEFmap,
+                                  res, aGlobalRes,
+                                  aRemovedFaces);
+    }
+    else //aNbFaces > theNumberOfPoints
+    {
+      Standard_Integer aNbExcessFaces = aNbFaces - theNumberOfPoints;
+      for (Standard_Integer ii = 0; ii < aNbExcessFaces; ii++)
+        aSmallestFaces.Add (aFacesAndAreas[ii].first);
+
+      TopTools_IndexedDataMapOfShapeListOfShape aVFmap;
+      TopExp::MapShapesAndAncestors (res, TopAbs_VERTEX, TopAbs_FACE, aVFmap);
+
+      //Remove smallest faces with free boundaries
+      for (Standard_Integer ii = 0; ii < aNbExcessFaces; ii++)
+      {
+        const TopoDS_Face& aFace = TopoDS::Face (aFacesAndAreas[ii].first);
+        Standard_Boolean anIsFreeBoundFound = Standard_False;
+        TopExp_Explorer anExplo (aFace, TopAbs_EDGE);
+        for (; anExplo.More(); anExplo.Next())
+        {
+          const TopoDS_Edge& anEdge = TopoDS::Edge (anExplo.Current());
+          if (!BRep_Tool::Degenerated (anEdge) &&
+              aEFmap.FindFromKey(anEdge).Extent() < 2)
+          {
+            anIsFreeBoundFound = Standard_True;
+            break;
+          }
+        }
+        if (anIsFreeBoundFound)
+        {
+          Standard_Real aMaxArea = 0.;
+          for (anExplo.Init(aFace, TopAbs_VERTEX); anExplo.More(); anExplo.Next())
+          {
+            const TopoDS_Shape& aVertex = anExplo.Current();
+            const TopTools_ListOfShape& aFaceList = aVFmap.FindFromKey (aVertex);
+            TopTools_ListIteratorOfListOfShape anItl (aFaceList);
+            for (; anItl.More(); anItl.Next())
+            {
+              Standard_Real anArea = aFaceAreaMap (anItl.Value());
+              if (anArea > aMaxArea)
+                aMaxArea = anArea;
+            }
+          }
+          Standard_Real anArreaOfSmallestFace = aFaceAreaMap (aFace);
+          if (anArreaOfSmallestFace < aMaxArea / 16)
+          {
+            aBB.Remove (res, aFace);
+            aRemovedFaces.Add (aFace);
+          }
+        }
+      }
+
+      ModifyFacesForGlobalResult (anInputFace, anAverageArea,
+                                  Standard_False, //to decrease number of faces
+                                  aNbExcessFaces, aSmallestFaces,
+                                  aFacesAndAreas, aFaceAreaMap, aEFmap,
+                                  res, aGlobalRes,
+                                  aRemovedFaces);
+    }
+  }
+
+  aBB.Add (aGlobalRes, res);
+
+  TopoDS_Compound aCompound;
+  aBB.MakeCompound (aCompound);
+  for (TopExp_Explorer aGlobalExplo(aGlobalRes, TopAbs_FACE); aGlobalExplo.More(); aGlobalExplo.Next())
+  {
+    const TopoDS_Face& aFace = TopoDS::Face (aGlobalExplo.Current());
+    Standard_Boolean anIsNaturalRestrictions = Standard_True;
+    TopExp_Explorer anExplo (aFace, TopAbs_EDGE);
+    for (; anExplo.More(); anExplo.Next())
+    {
+      const TopoDS_Edge& anEdge = TopoDS::Edge (anExplo.Current());
+      if (BRep_Tool::Degenerated (anEdge))
+        continue;
+      if (!aEFmap.Contains(anEdge) ||
+          aEFmap.FindFromKey(anEdge).Extent() < 2)
+      {
+        anIsNaturalRestrictions = Standard_False;
+        break;
+      }
+    }
+
+    gp_Pnt aPnt = GetMidPnt2d (aFace, anIsNaturalRestrictions);
+    TopoDS_Vertex aVertex = BRepLib_MakeVertex (aPnt);
+    aBB.Add (aCompound, aVertex);
+  }
+
+  thePoints->setImpl(new TopoDS_Shape(aCompound));
+
+  return true;
+#endif
+}