diff --git a/src/core/symbology-ng/qgsinvertedpolygonrenderer.cpp b/src/core/symbology-ng/qgsinvertedpolygonrenderer.cpp
index e401c15450c..f5dc616d04e 100644
--- a/src/core/symbology-ng/qgsinvertedpolygonrenderer.cpp
+++ b/src/core/symbology-ng/qgsinvertedpolygonrenderer.cpp
@@ -288,13 +288,13 @@ void QgsInvertedPolygonRenderer::stopRender( QgsRenderContext& context )
       Q_FOREACH ( QgsGeometry* geom, cit.geometries )
       {
         QgsMultiPolygon multi;
-        if (( geom->wkbType() == QGis::WKBPolygon ) ||
-            ( geom->wkbType() == QGis::WKBPolygon25D ) )
+        QgsWKBTypes::Type type = QgsWKBTypes::flatType( geom->geometry()->wkbType() );
+
+        if (( type == QgsWKBTypes::Polygon ) || ( type == QgsWKBTypes::CurvePolygon ) )
         {
           multi.append( geom->asPolygon() );
         }
-        else if (( geom->wkbType() == QGis::WKBMultiPolygon ) ||
-                 ( geom->wkbType() == QGis::WKBMultiPolygon25D ) )
+        else if (( type == QgsWKBTypes::MultiPolygon ) || ( type == QgsWKBTypes::MultiSurface ) )
         {
           multi = geom->asMultiPolygon();
         }
diff --git a/src/gui/symbology-ng/qgsinvertedpolygonrendererwidget.cpp b/src/gui/symbology-ng/qgsinvertedpolygonrendererwidget.cpp
index 28590184557..2eb09a93ad2 100644
--- a/src/gui/symbology-ng/qgsinvertedpolygonrendererwidget.cpp
+++ b/src/gui/symbology-ng/qgsinvertedpolygonrendererwidget.cpp
@@ -34,11 +34,10 @@ QgsInvertedPolygonRendererWidget::QgsInvertedPolygonRendererWidget( QgsVectorLay
     return;
   }
 
+  QgsWKBTypes::Type type = QgsWKBTypes::singleType( QgsWKBTypes::flatType( QGis::fromOldWkbType( layer->wkbType() ) ) );
+
   // the renderer only applies to polygon vector layers
-  if ( layer->wkbType() != QGis::WKBPolygon &&
-       layer->wkbType() != QGis::WKBPolygon25D &&
-       layer->wkbType() != QGis::WKBMultiPolygon &&
-       layer->wkbType() != QGis::WKBMultiPolygon25D )
+  if ( type != QgsWKBTypes::Polygon && type != QgsWKBTypes::CurvePolygon )
   {
     //setup blank dialog
     mRenderer.reset( nullptr );
diff --git a/tests/src/core/testqgsinvertedpolygonrenderer.cpp b/tests/src/core/testqgsinvertedpolygonrenderer.cpp
index 8e7db507c4a..c253e82ea3e 100644
--- a/tests/src/core/testqgsinvertedpolygonrenderer.cpp
+++ b/tests/src/core/testqgsinvertedpolygonrenderer.cpp
@@ -51,10 +51,13 @@ class TestQgsInvertedPolygon : public QObject
     void graduatedSubRenderer();
     void preprocess();
     void projectionTest();
+#if defined(GDAL_VERSION_NUM) && GDAL_VERSION_MAJOR >= 2
+    void curvedPolygons();
+#endif
 
   private:
     bool mTestHasError;
-    bool setQml( const QString& qmlFile );
+    bool setQml( QgsVectorLayer* vlayer, const QString& qmlFile );
     bool imageCheck( const QString& theType, const QgsRectangle* = 0 );
     QgsMapSettings mMapSettings;
     QgsVectorLayer * mpPolysLayer;
@@ -93,8 +96,7 @@ void TestQgsInvertedPolygon::initTestCase()
   mpPolysLayer->setSimplifyMethod( simplifyMethod );
 
   // Register the layer with the registry
-  QgsMapLayerRegistry::instance()->addMapLayers(
-    QList<QgsMapLayer *>() << mpPolysLayer );
+  QgsMapLayerRegistry::instance()->addMapLayers( QList<QgsMapLayer *>() << mpPolysLayer );
 
   mMapSettings.setLayers( QStringList() << mpPolysLayer->id() );
   mReport += "<h1>Inverted Polygon Renderer Tests</h1>\n";
@@ -117,14 +119,14 @@ void TestQgsInvertedPolygon::cleanupTestCase()
 void TestQgsInvertedPolygon::singleSubRenderer()
 {
   mReport += "<h2>Inverted polygon renderer, single sub renderer test</h2>\n";
-  QVERIFY( setQml( "inverted_polys_single.qml" ) );
+  QVERIFY( setQml( mpPolysLayer, "inverted_polys_single.qml" ) );
   QVERIFY( imageCheck( "inverted_polys_single" ) );
 }
 
 void TestQgsInvertedPolygon::graduatedSubRenderer()
 {
   mReport += "<h2>Inverted polygon renderer, graduated sub renderer test</h2>\n";
-  QVERIFY( setQml( "inverted_polys_graduated.qml" ) );
+  QVERIFY( setQml( mpPolysLayer, "inverted_polys_graduated.qml" ) );
   QVERIFY( imageCheck( "inverted_polys_graduated" ) );
 }
 
@@ -132,7 +134,7 @@ void TestQgsInvertedPolygon::preprocess()
 {
   // FIXME will have to find some overlapping polygons
   mReport += "<h2>Inverted polygon renderer, preprocessing test</h2>\n";
-  QVERIFY( setQml( "inverted_polys_preprocess.qml" ) );
+  QVERIFY( setQml( mpPolysLayer, "inverted_polys_preprocess.qml" ) );
   QVERIFY( imageCheck( "inverted_polys_preprocess" ) );
 }
 
@@ -142,25 +144,44 @@ void TestQgsInvertedPolygon::projectionTest()
   mMapSettings.setDestinationCrs( QgsCoordinateReferenceSystem( "EPSG:2154" ) );
   mMapSettings.setCrsTransformEnabled( true );
   QgsRectangle extent( QgsPoint( -8639421, 8382691 ), QgsPoint( -3969110, 12570905 ) );
-  QVERIFY( setQml( "inverted_polys_single.qml" ) );
+  QVERIFY( setQml( mpPolysLayer, "inverted_polys_single.qml" ) );
   QVERIFY( imageCheck( "inverted_polys_projection", &extent ) );
-  QVERIFY( setQml( "inverted_polys_preprocess.qml" ) );
+  QVERIFY( setQml( mpPolysLayer, "inverted_polys_preprocess.qml" ) );
   QVERIFY( imageCheck( "inverted_polys_projection2", &extent ) );
   mMapSettings.setCrsTransformEnabled( false );
 }
 
+#if defined(GDAL_VERSION_NUM) && GDAL_VERSION_MAJOR >= 2
+// This test relies on GDAL support of curved polygons
+void TestQgsInvertedPolygon::curvedPolygons()
+{
+  QString myCurvedPolysFileName = mTestDataDir + "curved_polys.gpkg";
+  QFileInfo myCurvedPolyFileInfo( myCurvedPolysFileName );
+  QgsVectorLayer* curvedLayer = new QgsVectorLayer( myCurvedPolyFileInfo.filePath() + "|layername=polys",
+      myCurvedPolyFileInfo.completeBaseName(), "ogr" );
+  curvedLayer->setSimplifyMethod( simplifyMethod );
+  QgsMapLayerRegistry::instance()->addMapLayers( QList<QgsMapLayer *>() << curvedLayer );
+
+  mReport += "<h2>Inverted polygon renderer, curved polygons test</h2>\n";
+  mMapSettings.setLayers( QStringList() << curvedLayer->id() );
+  QVERIFY( setQml( mpCurvedPolysLayer, "inverted_polys_single.qml" ) );
+  QVERIFY( imageCheck( "inverted_polys_curved" ) );
+  mMapSettings.setLayers( QStringList() << curvedLayer->id() );
+}
+#endif
+
 //
 // Private helper functions not called directly by CTest
 //
 
-bool TestQgsInvertedPolygon::setQml( const QString& qmlFile )
+bool TestQgsInvertedPolygon::setQml( QgsVectorLayer* vlayer, const QString& qmlFile )
 {
   //load a qml style and apply to our layer
   //the style will correspond to the renderer
   //type we are testing
   bool myStyleFlag = false;
   QString myFileName = mTestDataDir + qmlFile;
-  QString error = mpPolysLayer->loadNamedStyle( myFileName, myStyleFlag );
+  QString error = vlayer->loadNamedStyle( myFileName, myStyleFlag );
   if ( !myStyleFlag )
   {
     qDebug( "%s", error.toLocal8Bit().constData() );
diff --git a/tests/testdata/control_images/symbol_invertedpolygon/expected_inverted_polys_curved/default/expected_inverted_polys_curved.png b/tests/testdata/control_images/symbol_invertedpolygon/expected_inverted_polys_curved/default/expected_inverted_polys_curved.png
new file mode 100644
index 00000000000..3cc7263ea6a
Binary files /dev/null and b/tests/testdata/control_images/symbol_invertedpolygon/expected_inverted_polys_curved/default/expected_inverted_polys_curved.png differ
diff --git a/tests/testdata/control_images/symbol_invertedpolygon/expected_inverted_polys_curved/precise/expected_inverted_polys_curved.png b/tests/testdata/control_images/symbol_invertedpolygon/expected_inverted_polys_curved/precise/expected_inverted_polys_curved.png
new file mode 100644
index 00000000000..3cc7263ea6a
Binary files /dev/null and b/tests/testdata/control_images/symbol_invertedpolygon/expected_inverted_polys_curved/precise/expected_inverted_polys_curved.png differ
diff --git a/tests/testdata/curved_polys.gpkg b/tests/testdata/curved_polys.gpkg
new file mode 100644
index 00000000000..5ae19f47f69
Binary files /dev/null and b/tests/testdata/curved_polys.gpkg differ