diff --git a/Modules/Core/Common/include/itkPolyLineCell.h b/Modules/Core/Common/include/itkPolyLineCell.h
index b5c3f1bafe3..55e5067848c 100644
--- a/Modules/Core/Common/include/itkPolyLineCell.h
+++ b/Modules/Core/Common/include/itkPolyLineCell.h
@@ -78,6 +78,9 @@ class ITK_TEMPLATE_EXPORT PolyLineCell : public TCellInterface
   bool
   GetBoundaryFeature(int dimension, CellFeatureIdentifier, CellAutoPointer &) override;
 
+  void
+  InitializePoints();
+
   void
   ClearPoints();
 
@@ -114,16 +117,21 @@ class ITK_TEMPLATE_EXPORT PolyLineCell : public TCellInterface
   /** Visitor interface */
   itkCellVisitMacro(CellGeometryEnum::LINE_CELL);
 
-  /** Constructor and destructor */
-  PolyLineCell() = default;
-  PolyLineCell(PointIdentifier NumberOfPoints)
+  void
+  InitializePoints(PointIdentifier numberOfPoints)
   {
-    for (PointIdentifier i = 0; i < NumberOfPoints; ++i)
+    m_PointIds.clear();
+    for (PointIdentifier i = 0; i < numberOfPoints; ++i)
     {
       m_PointIds.push_back(NumericTraits<PointIdentifier>::max());
     }
   }
 
+  /** Constructor and destructor */
+  PolyLineCell() { InitializePoints(2); }
+
+  PolyLineCell(PointIdentifier numberOfPoints) { InitializePoints(numberOfPoints); }
+
   ~PolyLineCell() override = default;
 
 protected:
diff --git a/Modules/Core/Common/include/itkPolyLineCell.hxx b/Modules/Core/Common/include/itkPolyLineCell.hxx
index 32c05075220..fadafd6a497 100644
--- a/Modules/Core/Common/include/itkPolyLineCell.hxx
+++ b/Modules/Core/Common/include/itkPolyLineCell.hxx
@@ -242,7 +242,7 @@ template <typename TCellInterface>
 void
 PolyLineCell<TCellInterface>::ClearPoints()
 {
-  m_PointIds.clear();
+  InitializePoints(2);
 }