diff --git a/src/GEOMImpl/GEOMImpl_Fillet1d.cxx b/src/GEOMImpl/GEOMImpl_Fillet1d.cxx
index 27153dbb4..f905e48ed 100644
--- a/src/GEOMImpl/GEOMImpl_Fillet1d.cxx
+++ b/src/GEOMImpl/GEOMImpl_Fillet1d.cxx
@@ -117,10 +117,9 @@ static Standard_Boolean isRadiusIntersected(const Handle(Geom2d_Curve)& theCurve
   for(a = anInter.NbPoints(); a > 0; a--) 
   {
     aPoint = anInter.Point(a);
-    if (aPoint.Distance(theStart) < aTol) 
-      if (!theStartConnected) 
-        return Standard_True;
-    if (aPoint.Distance(theEnd) < aTol) 
+    if ( aPoint.Distance(theStart) < aTol && !theStartConnected )
+      return Standard_True;
+    if (aPoint.Distance(theEnd) < aTol * 200)
       return Standard_True;
     if (gp_Vec2d(aPoint, theStart).IsOpposite(gp_Vec2d(aPoint, theEnd), anAngTol)) 
       return Standard_True;
@@ -345,7 +344,7 @@ void GEOMImpl_Fillet1d::performNewton(GEOMImpl_Fillet1dPoint* theLeft,
   }
 
   Standard_Real aDX = theRight->GetParam() - theLeft->GetParam();
-  if (aDX < gp::Resolution()/*Precision::Confusion() / 1000000.*/) 
+  if ( aDX < Precision::Confusion() / 1000000.) 
   {
     a = theRight->HasSolution(myRadius);
     if (a)
@@ -361,11 +360,14 @@ void GEOMImpl_Fillet1d::performNewton(GEOMImpl_Fillet1dPoint* theLeft,
   {
     Standard_Integer aNear = theLeft->GetNear(a);
     
-      Standard_Real aA = (theRight->GetDiff(aNear) - theLeft->GetDiff(a)) / aDX;
+    Standard_Real aA = (theRight->GetDiff(aNear) - theLeft->GetDiff(a)) / aDX;
     Standard_Real aB = theLeft->GetDiff(a) - aA * theLeft->GetParam();
     Standard_Real aC = theLeft->GetValue(a) - theLeft->GetDiff(a) * theLeft->GetParam() + 
                        aA * theLeft->GetParam() * theLeft->GetParam() / 2.0;
     Standard_Real aDet = aB * aB - 2.0 * aA * aC;
+
+    if ( fabs(aDet) < gp::Resolution() )
+      continue;
     
     if (fabs(aA) < Precision::Confusion()) 
     { // linear case
@@ -573,10 +575,10 @@ Standard_Boolean GEOMImpl_Fillet1dPoint::ComputeDifference(GEOMImpl_Fillet1dPoin
     for(a = 1; a <= myV.Length(); a++) 
     {
       aDY = thePoint->myV.Value(a) - myV.Value(a);
-      if (aDiffsSet) 
-        myD.SetValue(a, aDY / aDX);
-      else 
-        myD.Append(aDY / aDX);
+      if ( aDiffsSet ) 
+        myD.SetValue(a, fabs(aDX) > gp::Resolution() ? (aDY/aDX) : 0);
+      else
+        myD.Append( fabs(aDX) > gp::Resolution() ? (aDY/aDX) : 0);
     }
     return Standard_True;
   }
@@ -591,12 +593,14 @@ Standard_Boolean GEOMImpl_Fillet1dPoint::ComputeDifference(GEOMImpl_Fillet1dPoin
     }
     if (aDiffsSet) 
     {
-      if (fabs(aDY / aDX) < fabs(myD.Value(a)))
+      if ( fabs(aDX) > gp::Resolution() && fabs(aDY / aDX) < fabs(myD.Value(a)))
         myD.SetValue(a, aDY / aDX);
+      else
+        myD.SetValue(a, 0);
     } 
     else 
     {
-      myD.Append(aDY / aDX);
+      myD.Append( fabs(aDX) > gp::Resolution() ? aDY/aDX : 0);
     }
   }
   
@@ -664,7 +668,7 @@ void GEOMImpl_Fillet1dPoint::FilterPoints(GEOMImpl_Fillet1dPoint* thePoint)
     
     if (aNear)
     {
-      if (fabs(aDiff / aDX) > 1.e+7) 
+      if (  fabs(aDX) < gp::Resolution() || fabs(aDiff / aDX) > 1.e+7) 
       {
         aNear = 0;
       }
diff --git a/src/GEOMImpl/GEOMImpl_Fillet1dDriver.cxx b/src/GEOMImpl/GEOMImpl_Fillet1dDriver.cxx
index 83947d4ba..19b6b2d7a 100644
--- a/src/GEOMImpl/GEOMImpl_Fillet1dDriver.cxx
+++ b/src/GEOMImpl/GEOMImpl_Fillet1dDriver.cxx
@@ -155,6 +155,8 @@ Standard_Integer GEOMImpl_Fillet1dDriver::Execute(TFunction_Logbook& log) const
 
   Handle(GEOM_Function) aRefShape = aCI.GetShape();
   TopoDS_Shape aShape = aRefShape->GetValue();
+  if (aShape.IsNull())
+    return 0;
   if (aShape.ShapeType() != TopAbs_WIRE)
     Standard_ConstructionError::Raise("Wrong arguments: polyline as wire must be given");
 
@@ -162,6 +164,9 @@ Standard_Integer GEOMImpl_Fillet1dDriver::Execute(TFunction_Logbook& log) const
 
   double rad = aCI.GetR();
 
+  if ( rad < Precision::Confusion())
+    return 0;
+
   // collect vertices for make fillet
   TopTools_ListOfShape aVertexList;
   TopTools_MapOfShape mapShape;
diff --git a/src/GEOMImpl/GEOMImpl_IShapesOperations.cxx b/src/GEOMImpl/GEOMImpl_IShapesOperations.cxx
index d180b5e94..aaa39fdee 100644
--- a/src/GEOMImpl/GEOMImpl_IShapesOperations.cxx
+++ b/src/GEOMImpl/GEOMImpl_IShapesOperations.cxx
@@ -276,7 +276,7 @@ Handle(GEOM_Object) GEOMImpl_IShapesOperations::MakeWire
       pd << ", " << (*it++);
     }
   }
-  pd << "])";
+  pd << "], " << theTolerance << ")";
 
   SetErrorCode(OK);
   return aWire;