diff --git a/python/core/geometry/qgscircularstringv2.sip b/python/core/geometry/qgscircularstringv2.sip
index 0bb0353980b..3003c5d9b03 100644
--- a/python/core/geometry/qgscircularstringv2.sip
+++ b/python/core/geometry/qgscircularstringv2.sip
@@ -60,6 +60,8 @@ class QgsCircularStringV2: public QgsCurveV2
         @return rotation in radians, clockwise from north*/
     double vertexAngle( const QgsVertexId& vertex ) const;
 
+    virtual QgsCircularStringV2* reversed() const /Factory/;
+
     virtual bool addZValue( double zValue = 0 );
     virtual bool addMValue( double mValue = 0 );
 
diff --git a/python/core/geometry/qgscompoundcurvev2.sip b/python/core/geometry/qgscompoundcurvev2.sip
index a58d8fa3656..0bc62c01147 100644
--- a/python/core/geometry/qgscompoundcurvev2.sip
+++ b/python/core/geometry/qgscompoundcurvev2.sip
@@ -66,6 +66,8 @@ class QgsCompoundCurveV2: public QgsCurveV2
         @return rotation in radians, clockwise from north*/
     double vertexAngle( const QgsVertexId& vertex ) const;
 
+    virtual QgsCompoundCurveV2* reversed() const /Factory/;
+
     virtual bool addZValue( double zValue = 0 );
     virtual bool addMValue( double mValue = 0 );
 };
diff --git a/python/core/geometry/qgscurvev2.sip b/python/core/geometry/qgscurvev2.sip
index 7de886d780f..3227eb8381b 100644
--- a/python/core/geometry/qgscurvev2.sip
+++ b/python/core/geometry/qgscurvev2.sip
@@ -23,6 +23,11 @@ class QgsCurveV2: public QgsAbstractGeometryV2
     virtual bool nextVertex( QgsVertexId& id, QgsPointV2& vertex ) const;
     virtual bool pointAt( int i, QgsPointV2& vertex, QgsVertexId::VertexType& type ) const = 0;
 
+    /** Returns a reversed copy of the curve, where the direction of the curve has been flipped.
+     * @note added in QGIS 2.14
+     */
+    virtual QgsCurveV2* reversed() const = 0 /Factory/;
+
     /** Returns a geometry without curves. Caller takes ownership*/
     QgsAbstractGeometryV2* segmentize() const /Factory/;
 
diff --git a/python/core/geometry/qgslinestringv2.sip b/python/core/geometry/qgslinestringv2.sip
index aba911e5716..77cc3668908 100644
--- a/python/core/geometry/qgslinestringv2.sip
+++ b/python/core/geometry/qgslinestringv2.sip
@@ -1,3 +1,9 @@
+/** \ingroup core
+ * \class QgsLineStringV2
+ * \brief Line string geometry type, with support for z-dimension and m-values.
+ * \note added in QGIS 2.10
+ */
+
 class QgsLineStringV2: public QgsCurveV2
 {
 %TypeHeaderCode
@@ -8,13 +14,49 @@ class QgsLineStringV2: public QgsCurveV2
     QgsLineStringV2();
     ~QgsLineStringV2();
 
+    /** Resets the line string to match the line string in a WKB geometry.
+     * @param type WKB type
+     * @param wkb WKB representation of line geometry
+     * @note not available in Python bindings
+     */
+    //void fromWkbPoints( QgsWKBTypes::Type type, const QgsConstWkbPtr& wkb );
+
+    /** Returns the specified point from inside the line string.
+     * @param i index of point, starting at 0 for the first point
+     */
+    QgsPointV2 pointN( int i ) const;
+
+    /** Resets the line string to match the specified list of points.
+     * @param points new points for line string. If empty, line string will be cleared.
+     */
+    void setPoints( const QList<QgsPointV2>& points );
+
+    /** Appends the contents of another line string to the end of this line string.
+     * @param line line to append. Ownership is not transferred.
+     */
+    void append( const QgsLineStringV2* line );
+
+    /** Adds a new vertex to the end of the line string.
+     * @param pt vertex to add
+     */
+    void addVertex( const QgsPointV2& pt );
+
+    /** Closes the line string by appending the first point to the end of the line, if it is not already closed.*/
+    void close();
+
+    virtual QgsLineStringV2* reversed() const /Factory/;
+
+    /** Returns a QPolygonF representing the line string.
+     */
+    QPolygonF asQPolygonF() const;
+
+    //reimplemented methods
+
     virtual QString geometryType() const;
     virtual int dimension() const;
-    virtual QgsLineStringV2* clone() const;
-    virtual void clear();
+    virtual QgsLineStringV2* clone() const /Factory/;
 
     virtual bool fromWkb( const unsigned char* wkb );
-    //void fromWkbPoints( QgsWKBTypes::Type type, const QgsConstWkbPtr& wkb );
     virtual bool fromWkt( const QString& wkt );
 
     int wkbSize() const;
@@ -28,39 +70,30 @@ class QgsLineStringV2: public QgsCurveV2
     virtual double length() const;
     virtual QgsPointV2 startPoint() const;
     virtual QgsPointV2 endPoint() const;
-    virtual QgsLineStringV2* curveToLine() const;
+    virtual QgsLineStringV2* curveToLine() const /Factory/;
 
     int numPoints() const;
-    QgsPointV2 pointN( int i ) const;
     void points( QList<QgsPointV2>& pt ) const;
 
-    void setPoints( const QList<QgsPointV2>& points );
-    void append( const QgsLineStringV2* line );
-
     void draw( QPainter& p ) const;
+
     void transform( const QgsCoordinateTransform& ct, QgsCoordinateTransform::TransformDirection d = QgsCoordinateTransform::ForwardTransform );
     void transform( const QTransform& t );
 
     void addToPainterPath( QPainterPath& path ) const;
     void drawAsPolygon( QPainter& p ) const;
 
-    const QPolygonF& qPolygonF() const;
-
     virtual bool insertVertex( const QgsVertexId& position, const QgsPointV2& vertex );
     virtual bool moveVertex( const QgsVertexId& position, const QgsPointV2& newPos );
     virtual bool deleteVertex( const QgsVertexId& position );
-    void addVertex( const QgsPointV2& pt );
 
     double closestSegment( const QgsPointV2& pt, QgsPointV2& segmentPt,  QgsVertexId& vertexAfter, bool* leftOf, double epsilon ) const;
     bool pointAt( int i, QgsPointV2& vertex, QgsVertexId::VertexType& type ) const;
 
     void sumUpArea( double& sum ) const;
-
-    /** Returns approximate rotation angle for a vertex. Usually average angle between adjacent segments.
-        @param vertex the vertex id
-        @return rotation in radians, clockwise from north*/
     double vertexAngle( const QgsVertexId& vertex ) const;
 
     virtual bool addZValue( double zValue = 0 );
     virtual bool addMValue( double mValue = 0 );
+
 };
diff --git a/python/core/geometry/qgsmulticurvev2.sip b/python/core/geometry/qgsmulticurvev2.sip
index 51defa1d991..59a78c6ebf6 100644
--- a/python/core/geometry/qgsmulticurvev2.sip
+++ b/python/core/geometry/qgsmulticurvev2.sip
@@ -22,4 +22,9 @@ class QgsMultiCurveV2: public QgsGeometryCollectionV2
     virtual bool addGeometry( QgsAbstractGeometryV2* g );
     /** Returns a geometry without curves. Caller takes ownership*/
     QgsAbstractGeometryV2* segmentize() const /Factory/;
+
+    /** Returns a copy of the multi curve, where each component curve has had its line direction reversed.
+     * @note added in QGIS 2.14
+     */
+    QgsMultiCurveV2* reversed() const /Factory/;
 };
diff --git a/python/core/geometry/qgspointv2.sip b/python/core/geometry/qgspointv2.sip
index ec43799d64f..93182a92aab 100644
--- a/python/core/geometry/qgspointv2.sip
+++ b/python/core/geometry/qgspointv2.sip
@@ -117,7 +117,7 @@ class QgsPointV2: public QgsAbstractGeometryV2
     //implementation of inherited methods
     virtual QString geometryType() const;
     virtual int dimension() const;
-    virtual QgsPointV2* clone() const;
+    virtual QgsPointV2* clone() const /Factory/;
     void clear();
     virtual bool fromWkb( const unsigned char* wkb );
     virtual bool fromWkt( const QString& wkt );
diff --git a/src/core/geometry/qgscircularstringv2.cpp b/src/core/geometry/qgscircularstringv2.cpp
index 81ed491cdb3..ce2a5de3645 100644
--- a/src/core/geometry/qgscircularstringv2.cpp
+++ b/src/core/geometry/qgscircularstringv2.cpp
@@ -1009,6 +1009,22 @@ double QgsCircularStringV2::vertexAngle( const QgsVertexId& vId ) const
   return 0.0;
 }
 
+QgsCircularStringV2* QgsCircularStringV2::reversed() const
+{
+  QgsCircularStringV2* copy = clone();
+  std::reverse( copy->mX.begin(), copy->mX.end() );
+  std::reverse( copy->mY.begin(), copy->mY.end() );
+  if ( is3D() )
+  {
+    std::reverse( copy->mZ.begin(), copy->mZ.end() );
+  }
+  if ( isMeasure() )
+  {
+    std::reverse( copy->mM.begin(), copy->mM.end() );
+  }
+  return copy;
+}
+
 bool QgsCircularStringV2::addZValue( double zValue )
 {
   if ( QgsWKBTypes::hasZ( mWkbType ) )
diff --git a/src/core/geometry/qgscircularstringv2.h b/src/core/geometry/qgscircularstringv2.h
index 99de2a4d203..fe09f885b8e 100644
--- a/src/core/geometry/qgscircularstringv2.h
+++ b/src/core/geometry/qgscircularstringv2.h
@@ -125,6 +125,8 @@ class CORE_EXPORT QgsCircularStringV2: public QgsCurveV2
         @return rotation in radians, clockwise from north*/
     double vertexAngle( const QgsVertexId& vertex ) const override;
 
+    virtual QgsCircularStringV2* reversed() const override;
+
     virtual bool addZValue( double zValue = 0 ) override;
     virtual bool addMValue( double mValue = 0 ) override;
 
diff --git a/src/core/geometry/qgscompoundcurvev2.cpp b/src/core/geometry/qgscompoundcurvev2.cpp
index 056a05d9932..fb6b428b0d3 100644
--- a/src/core/geometry/qgscompoundcurvev2.cpp
+++ b/src/core/geometry/qgscompoundcurvev2.cpp
@@ -625,6 +625,17 @@ double QgsCompoundCurveV2::vertexAngle( const QgsVertexId& vertex ) const
   }
 }
 
+QgsCompoundCurveV2* QgsCompoundCurveV2::reversed() const
+{
+  QgsCompoundCurveV2* clone = new QgsCompoundCurveV2();
+  Q_FOREACH ( QgsCurveV2* curve, mCurves )
+  {
+    QgsCurveV2* reversedCurve = curve->reversed();
+    clone->addCurve( reversedCurve );
+  }
+  return clone;
+}
+
 bool QgsCompoundCurveV2::addZValue( double zValue )
 {
   if ( QgsWKBTypes::hasZ( mWkbType ) )
diff --git a/src/core/geometry/qgscompoundcurvev2.h b/src/core/geometry/qgscompoundcurvev2.h
index e215608a935..81cb86b3530 100644
--- a/src/core/geometry/qgscompoundcurvev2.h
+++ b/src/core/geometry/qgscompoundcurvev2.h
@@ -109,6 +109,8 @@ class CORE_EXPORT QgsCompoundCurveV2: public QgsCurveV2
         @return rotation in radians, clockwise from north*/
     double vertexAngle( const QgsVertexId& vertex ) const override;
 
+    virtual QgsCompoundCurveV2* reversed() const override;
+
     virtual bool addZValue( double zValue = 0 ) override;
     virtual bool addMValue( double mValue = 0 ) override;
 
diff --git a/src/core/geometry/qgscurvev2.h b/src/core/geometry/qgscurvev2.h
index 4639a5b81c4..63bec257ba7 100644
--- a/src/core/geometry/qgscurvev2.h
+++ b/src/core/geometry/qgscurvev2.h
@@ -87,6 +87,11 @@ class CORE_EXPORT QgsCurveV2: public QgsAbstractGeometryV2
      */
     virtual bool pointAt( int i, QgsPointV2& vertex, QgsVertexId::VertexType& type ) const = 0;
 
+    /** Returns a reversed copy of the curve, where the direction of the curve has been flipped.
+     * @note added in QGIS 2.14
+     */
+    virtual QgsCurveV2* reversed() const = 0;
+
     QgsAbstractGeometryV2* segmentize() const override;
 
     virtual int vertexCount( int /*part*/ = 0, int /*ring*/ = 0 ) const override { return numPoints(); }
diff --git a/src/core/geometry/qgslinestringv2.cpp b/src/core/geometry/qgslinestringv2.cpp
index c9e673216d2..b7f3831ffd9 100644
--- a/src/core/geometry/qgslinestringv2.cpp
+++ b/src/core/geometry/qgslinestringv2.cpp
@@ -191,7 +191,7 @@ int QgsLineStringV2::numPoints() const
 
 QgsPointV2 QgsLineStringV2::pointN( int i ) const
 {
-  if ( mX.size() <= i )
+  if ( i < 0 || i >= mX.size() )
   {
     return QgsPointV2();
   }
@@ -240,7 +240,9 @@ void QgsLineStringV2::points( QList<QgsPointV2>& pts ) const
 
 void QgsLineStringV2::setPoints( const QList<QgsPointV2>& points )
 {
-  if ( points.size() < 1 )
+  mBoundingBox = QgsRectangle(); //set bounding box invalid
+
+  if ( points.isEmpty() )
   {
     mWkbType = QgsWKBTypes::Unknown;
     mX.clear();
@@ -307,11 +309,29 @@ void QgsLineStringV2::append( const QgsLineStringV2* line )
   mY += line->mY;
   mZ += line->mZ;
   mM += line->mM;
+
+  mBoundingBox = QgsRectangle(); //set bounding box invalid
+}
+
+QgsLineStringV2* QgsLineStringV2::reversed() const
+{
+  QgsLineStringV2* copy = clone();
+  std::reverse( copy->mX.begin(), copy->mX.end() );
+  std::reverse( copy->mY.begin(), copy->mY.end() );
+  if ( copy->is3D() )
+  {
+    std::reverse( copy->mZ.begin(), copy->mZ.end() );
+  }
+  if ( copy->isMeasure() )
+  {
+    std::reverse( copy->mM.begin(), copy->mM.end() );
+  }
+  return copy;
 }
 
 void QgsLineStringV2::draw( QPainter& p ) const
 {
-  p.drawPolyline( qPolygonF() );
+  p.drawPolyline( asQPolygonF() );
 }
 
 void QgsLineStringV2::addToPainterPath( QPainterPath& path ) const
@@ -335,10 +355,10 @@ void QgsLineStringV2::addToPainterPath( QPainterPath& path ) const
 
 void QgsLineStringV2::drawAsPolygon( QPainter& p ) const
 {
-  p.drawPolygon( qPolygonF() );
+  p.drawPolygon( asQPolygonF() );
 }
 
-QPolygonF QgsLineStringV2::qPolygonF() const
+QPolygonF QgsLineStringV2::asQPolygonF() const
 {
   QPolygonF points;
   for ( int i = 0; i < mX.count(); ++i )
@@ -534,6 +554,7 @@ void QgsLineStringV2::importVerticesFromWkb( const QgsConstWkbPtr& wkb )
       wkb >> mM[i];
     }
   }
+  mBoundingBox = QgsRectangle(); //set bounding box invalid
 }
 
 void QgsLineStringV2::close()
diff --git a/src/core/geometry/qgslinestringv2.h b/src/core/geometry/qgslinestringv2.h
index c77d4d76884..8c98fcc5ce3 100644
--- a/src/core/geometry/qgslinestringv2.h
+++ b/src/core/geometry/qgslinestringv2.h
@@ -24,9 +24,8 @@
 
 /** \ingroup core
  * \class QgsLineStringV2
- * \brief Line string geometry type.
+ * \brief Line string geometry type, with support for z-dimension and m-values.
  * \note added in QGIS 2.10
- * \note this API is not considered stable and may change for 2.12
  */
 class CORE_EXPORT QgsLineStringV2: public QgsCurveV2
 {
@@ -34,13 +33,48 @@ class CORE_EXPORT QgsLineStringV2: public QgsCurveV2
     QgsLineStringV2();
     ~QgsLineStringV2();
 
+    /** Resets the line string to match the line string in a WKB geometry.
+     * @param type WKB type
+     * @param wkb WKB representation of line geometry
+     * @note not available in Python bindings
+     */
+    void fromWkbPoints( QgsWKBTypes::Type type, const QgsConstWkbPtr& wkb );
+
+    /** Returns the specified point from inside the line string.
+     * @param i index of point, starting at 0 for the first point
+     */
+    QgsPointV2 pointN( int i ) const;
+
+    /** Resets the line string to match the specified list of points.
+     * @param points new points for line string. If empty, line string will be cleared.
+     */
+    void setPoints( const QList<QgsPointV2>& points );
+
+    /** Appends the contents of another line string to the end of this line string.
+     * @param line line to append. Ownership is not transferred.
+     */
+    void append( const QgsLineStringV2* line );
+
+    /** Adds a new vertex to the end of the line string.
+     * @param pt vertex to add
+     */
+    void addVertex( const QgsPointV2& pt );
+
+    /** Closes the line string by appending the first point to the end of the line, if it is not already closed.*/
+    void close();
+
+    /** Returns a QPolygonF representing the line string.
+     */
+    QPolygonF asQPolygonF() const;
+
+    //reimplemented methods
+
     virtual QString geometryType() const override { return "LineString"; }
     virtual int dimension() const override { return 1; }
     virtual QgsLineStringV2* clone() const override;
     virtual void clear() override;
 
     virtual bool fromWkb( const unsigned char* wkb ) override;
-    void fromWkbPoints( QgsWKBTypes::Type type, const QgsConstWkbPtr& wkb );
     virtual bool fromWkt( const QString& wkt ) override;
 
     int wkbSize() const override;
@@ -57,42 +91,26 @@ class CORE_EXPORT QgsLineStringV2: public QgsCurveV2
     virtual QgsLineStringV2* curveToLine() const override;
 
     int numPoints() const override;
-    QgsPointV2 pointN( int i ) const;
     void points( QList<QgsPointV2>& pt ) const override;
 
-    void setPoints( const QList<QgsPointV2>& points );
-    void append( const QgsLineStringV2* line );
-
     void draw( QPainter& p ) const override;
 
-    /** Transforms the geometry using a coordinate transform
-     * @param ct coordinate transform
-       @param d transformation direction
-     */
     void transform( const QgsCoordinateTransform& ct, QgsCoordinateTransform::TransformDirection d = QgsCoordinateTransform::ForwardTransform ) override;
     void transform( const QTransform& t ) override;
 
     void addToPainterPath( QPainterPath& path ) const override;
     void drawAsPolygon( QPainter& p ) const override;
 
-    QPolygonF qPolygonF() const;
-
     virtual bool insertVertex( const QgsVertexId& position, const QgsPointV2& vertex ) override;
     virtual bool moveVertex( const QgsVertexId& position, const QgsPointV2& newPos ) override;
     virtual bool deleteVertex( const QgsVertexId& position ) override;
-    void addVertex( const QgsPointV2& pt );
+
+    virtual QgsLineStringV2* reversed() const override;
 
     double closestSegment( const QgsPointV2& pt, QgsPointV2& segmentPt,  QgsVertexId& vertexAfter, bool* leftOf, double epsilon ) const override;
     bool pointAt( int i, QgsPointV2& vertex, QgsVertexId::VertexType& type ) const override;
 
     void sumUpArea( double& sum ) const override;
-
-    /** Appends first point if not already closed*/
-    void close();
-
-    /** Returns approximate rotation angle for a vertex. Usually average angle between adjacent segments.
-        @param vertex the vertex id
-        @return rotation in radians, clockwise from north*/
     double vertexAngle( const QgsVertexId& vertex ) const override;
 
     virtual bool addZValue( double zValue = 0 ) override;
diff --git a/src/core/geometry/qgsmulticurvev2.cpp b/src/core/geometry/qgsmulticurvev2.cpp
index 9c024c75623..3670612d13e 100644
--- a/src/core/geometry/qgsmulticurvev2.cpp
+++ b/src/core/geometry/qgsmulticurvev2.cpp
@@ -106,3 +106,16 @@ bool QgsMultiCurveV2::addGeometry( QgsAbstractGeometryV2* g )
   setZMTypeFromSubGeometry( g, QgsWKBTypes::MultiCurve );
   return QgsGeometryCollectionV2::addGeometry( g );
 }
+
+QgsMultiCurveV2* QgsMultiCurveV2::reversed() const
+{
+  QgsMultiCurveV2* reversedMultiCurve = new QgsMultiCurveV2();
+  Q_FOREACH ( const QgsAbstractGeometryV2 *geom, mGeometries )
+  {
+    if ( dynamic_cast<const QgsCurveV2*>( geom ) )
+    {
+      reversedMultiCurve->addGeometry( static_cast<const QgsCurveV2*>( geom )->reversed() );
+    }
+  }
+  return reversedMultiCurve;
+}
diff --git a/src/core/geometry/qgsmulticurvev2.h b/src/core/geometry/qgsmulticurvev2.h
index 56e3cc66c50..a668ce8304f 100644
--- a/src/core/geometry/qgsmulticurvev2.h
+++ b/src/core/geometry/qgsmulticurvev2.h
@@ -39,9 +39,13 @@ class CORE_EXPORT QgsMultiCurveV2: public QgsGeometryCollectionV2
     QDomElement asGML3( QDomDocument& doc, int precision = 17, const QString& ns = "gml" ) const override;
     QString asJSON( int precision = 17 ) const override;
 
-
     /** Adds a geometry and takes ownership. Returns true in case of success*/
     virtual bool addGeometry( QgsAbstractGeometryV2* g ) override;
+
+    /** Returns a copy of the multi curve, where each component curve has had its line direction reversed.
+     * @note added in QGIS 2.14
+     */
+    QgsMultiCurveV2* reversed() const;
 };
 
 #endif // QGSMULTICURVEV2_H
diff --git a/src/core/geometry/qgsmultilinestringv2.h b/src/core/geometry/qgsmultilinestringv2.h
index 803c11482f4..f3de42044a8 100644
--- a/src/core/geometry/qgsmultilinestringv2.h
+++ b/src/core/geometry/qgsmultilinestringv2.h
@@ -39,7 +39,6 @@ class CORE_EXPORT QgsMultiLineStringV2: public QgsMultiCurveV2
     QDomElement asGML3( QDomDocument& doc, int precision = 17, const QString& ns = "gml" ) const override;
     QString asJSON( int precision = 17 ) const override;
 
-
     /** Adds a geometry and takes ownership. Returns true in case of success*/
     virtual bool addGeometry( QgsAbstractGeometryV2* g ) override;