diff --git a/MapControl/Shared/AutoEquirectangularProjection.cs b/MapControl/Shared/AutoEquirectangularProjection.cs
index c9c441e9..c8898505 100644
--- a/MapControl/Shared/AutoEquirectangularProjection.cs
+++ b/MapControl/Shared/AutoEquirectangularProjection.cs
@@ -28,7 +28,7 @@ namespace MapControl
             CrsId = crsId;
         }
 
-        public override Point GetRelativeScale(double latitude, double longitude)
+        public override Point RelativeScale(double latitude, double longitude)
         {
             return new Point(
                 Math.Cos(Center.Latitude * Math.PI / 180d) / Math.Cos(latitude * Math.PI / 180d),
diff --git a/MapControl/Shared/EquirectangularProjection.cs b/MapControl/Shared/EquirectangularProjection.cs
index b5c8c746..01cc075b 100644
--- a/MapControl/Shared/EquirectangularProjection.cs
+++ b/MapControl/Shared/EquirectangularProjection.cs
@@ -28,7 +28,7 @@ namespace MapControl
             CrsId = crsId;
         }
 
-        public override Point GetRelativeScale(double latitude, double longitude)
+        public override Point RelativeScale(double latitude, double longitude)
         {
             return new Point(1d / Math.Cos(latitude * Math.PI / 180d), 1d);
         }
diff --git a/MapControl/Shared/MapBase.cs b/MapControl/Shared/MapBase.cs
index 0a66bac2..97cac30d 100644
--- a/MapControl/Shared/MapBase.cs
+++ b/MapControl/Shared/MapBase.cs
@@ -2,6 +2,8 @@
 #if WPF
 using System.Windows;
 using System.Windows.Media;
+using System.Windows.Media.Imaging;
+using System.Windows.Shapes;
 #elif UWP
 using Windows.UI.Xaml;
 using Windows.UI.Xaml.Media;
@@ -182,7 +184,7 @@ namespace MapControl
         /// </summary>
         public Point GetMapScale(double latitude, double longitude)
         {
-            var relativeScale = MapProjection.GetRelativeScale(latitude, longitude);
+            var relativeScale = MapProjection.RelativeScale(latitude, longitude);
 
             return new Point(ViewTransform.Scale * relativeScale.X, ViewTransform.Scale * relativeScale.Y);
         }
@@ -193,9 +195,7 @@ namespace MapControl
         /// </summary>
         public Point GetMapScale(Location location)
         {
-            var relativeScale = MapProjection.GetRelativeScale(location);
-
-            return new Point(ViewTransform.Scale * relativeScale.X, ViewTransform.Scale * relativeScale.Y);
+            return GetMapScale(location.Latitude, location.Longitude);
         }
 
         /// <summary>
@@ -204,7 +204,12 @@ namespace MapControl
         /// </summary>
         public Matrix GetMapTransform(Location location)
         {
-            return ViewTransform.GetMapTransform(MapProjection.GetRelativeScale(location));
+            var mapScale = GetMapScale(location);
+            var transform = new Matrix(mapScale.X, 0d, 0d, mapScale.Y, 0d, 0d);
+
+            transform.Rotate(ViewTransform.Rotation);
+
+            return transform;
         }
 
         /// <summary>
diff --git a/MapControl/Shared/MapProjection.cs b/MapControl/Shared/MapProjection.cs
index db2d31f5..8cb106bb 100644
--- a/MapControl/Shared/MapProjection.cs
+++ b/MapControl/Shared/MapProjection.cs
@@ -55,7 +55,7 @@ namespace MapControl
         /// <summary>
         /// Gets the relative map scale at the specified geographic coordinates.
         /// </summary>
-        public virtual Point GetRelativeScale(double latitude, double longitude) => new Point(1d, 1d);
+        public virtual Point RelativeScale(double latitude, double longitude) => new Point(1d, 1d);
 
         /// <summary>
         /// Transforms geographic coordinates to a Point in projected map coordinates.
@@ -72,7 +72,7 @@ namespace MapControl
         /// <summary>
         /// Gets the relative map scale at the specified geographic Location.
         /// </summary>
-        public Point GetRelativeScale(Location location) => GetRelativeScale(location.Latitude, location.Longitude);
+        public Point RelativeScale(Location location) => RelativeScale(location.Latitude, location.Longitude);
 
         /// <summary>
         /// Transforms a Location in geographic coordinates to a Point in projected map coordinates.
diff --git a/MapControl/Shared/PolarStereographicProjection.cs b/MapControl/Shared/PolarStereographicProjection.cs
index 69244dc4..ae8a2c58 100644
--- a/MapControl/Shared/PolarStereographicProjection.cs
+++ b/MapControl/Shared/PolarStereographicProjection.cs
@@ -26,7 +26,7 @@ namespace MapControl
         public double FalseNorthing { get; set; } = 2e6;
         public bool IsNorth { get; set; }
 
-        public override Point GetRelativeScale(double latitude, double longitude)
+        public override Point RelativeScale(double latitude, double longitude)
         {
             latitude *= Math.PI / 180d;
 
diff --git a/MapControl/Shared/TransverseMercatorProjection.cs b/MapControl/Shared/TransverseMercatorProjection.cs
index 644636e2..38a54285 100644
--- a/MapControl/Shared/TransverseMercatorProjection.cs
+++ b/MapControl/Shared/TransverseMercatorProjection.cs
@@ -25,7 +25,7 @@ namespace MapControl
             Type = MapProjectionType.TransverseCylindrical;
         }
 
-        public override Point GetRelativeScale(double latitude, double longitude)
+        public override Point RelativeScale(double latitude, double longitude)
         {
             return new Point(ScaleFactor, ScaleFactor);
         }
diff --git a/MapControl/Shared/ViewTransform.cs b/MapControl/Shared/ViewTransform.cs
index f282b8ee..8bafdffb 100644
--- a/MapControl/Shared/ViewTransform.cs
+++ b/MapControl/Shared/ViewTransform.cs
@@ -58,20 +58,14 @@ namespace MapControl
         }
 
         /// <summary>
-        /// Gets a transform Matrix from meters to view coordinates for a relative map scale.
-        /// </summary>
-        public Matrix GetMapTransform(Point relativeScale)
-        {
-            var transform = new Matrix(Scale * relativeScale.X, 0d, 0d, Scale * relativeScale.Y, 0d, 0d);
-            transform.Rotate(Rotation);
-            return transform;
-        }
-
-        /// <summary>
-        /// Gets the transform Matrix for the RenderTranform of a MapTileLayer.
+        /// Gets the transform Matrix for the RenderTranform of a MapTileLayer or WmtsTileMatrixLayer.
         /// </summary>
         public Matrix GetTileLayerTransform(double tileMatrixScale, Point tileMatrixTopLeft, Point tileMatrixOrigin)
         {
+            var scale = Scale / tileMatrixScale;
+            var transform = new Matrix(scale, 0d, 0d, scale, 0d, 0d);
+            transform.Rotate(Rotation);
+
             // Tile matrix origin in map coordinates.
             //
             var mapOrigin = new Point(
@@ -81,11 +75,8 @@ namespace MapControl
             // Tile matrix origin in view coordinates.
             //
             var viewOrigin = MapToViewMatrix.Transform(mapOrigin);
-
-            var scale = Scale / tileMatrixScale;
-            var transform = new Matrix(scale, 0d, 0d, scale, 0d, 0d);
-            transform.Rotate(Rotation);
             transform.Translate(viewOrigin.X, viewOrigin.Y);
+
             return transform;
         }
 
@@ -94,19 +85,19 @@ namespace MapControl
         /// </summary>
         public Rect GetTileMatrixBounds(double tileMatrixScale, Point tileMatrixTopLeft, double viewWidth, double viewHeight)
         {
+            var scale = tileMatrixScale / Scale;
+            var transform = new Matrix(scale, 0d, 0d, scale, 0d, 0d);
+            transform.Rotate(-Rotation);
+
             // View origin in map coordinates.
             //
             var origin = ViewToMapMatrix.Transform(new Point());
 
             // Translation from origin to tile matrix origin in pixels.
             //
-            var originOffsetX = tileMatrixScale * (origin.X - tileMatrixTopLeft.X);
-            var originOffsetY = tileMatrixScale * (tileMatrixTopLeft.Y - origin.Y);
-
-            var scale = tileMatrixScale / Scale;
-            var transform = new Matrix(scale, 0d, 0d, scale, 0d, 0d);
-            transform.Rotate(-Rotation);
-            transform.Translate(originOffsetX, originOffsetY);
+            transform.Translate(
+                tileMatrixScale * (origin.X - tileMatrixTopLeft.X),
+                tileMatrixScale * (tileMatrixTopLeft.Y - origin.Y));
 
             // Transform view bounds to tile pixel bounds.
             //
diff --git a/MapControl/Shared/WebMercatorProjection.cs b/MapControl/Shared/WebMercatorProjection.cs
index 632d84ea..fe36ba89 100644
--- a/MapControl/Shared/WebMercatorProjection.cs
+++ b/MapControl/Shared/WebMercatorProjection.cs
@@ -27,7 +27,7 @@ namespace MapControl
             CrsId = crsId;
         }
 
-        public override Point GetRelativeScale(double latitude, double longitude)
+        public override Point RelativeScale(double latitude, double longitude)
         {
             var k = 1d / Math.Cos(latitude * Math.PI / 180d); // p.44 (7-3)
 
diff --git a/MapControl/Shared/WorldMercatorProjection.cs b/MapControl/Shared/WorldMercatorProjection.cs
index e607c1e2..0b934c58 100644
--- a/MapControl/Shared/WorldMercatorProjection.cs
+++ b/MapControl/Shared/WorldMercatorProjection.cs
@@ -27,7 +27,7 @@ namespace MapControl
             CrsId = crsId;
         }
 
-        public override Point GetRelativeScale(double latitude, double longitude)
+        public override Point RelativeScale(double latitude, double longitude)
         {
             var lat = latitude * Math.PI / 180d;
             var eSinLat = Wgs84Eccentricity * Math.Sin(lat);
diff --git a/MapProjections/Shared/GeoApiProjection.cs b/MapProjections/Shared/GeoApiProjection.cs
index 060830b8..eed792f8 100644
--- a/MapProjections/Shared/GeoApiProjection.cs
+++ b/MapProjections/Shared/GeoApiProjection.cs
@@ -94,7 +94,7 @@ namespace MapControl.Projections
 
         public IMathTransform MapToLocationTransform { get; private set; }
 
-        public override Point GetRelativeScale(double latitude, double longitude)
+        public override Point RelativeScale(double latitude, double longitude)
         {
             var k = CoordinateSystem?.Projection?.GetParameter("scale_factor")?.Value ?? 1d;
 
diff --git a/MapProjections/Shared/WebMercatorProjection.cs b/MapProjections/Shared/WebMercatorProjection.cs
index c8cbb219..38d83a56 100644
--- a/MapProjections/Shared/WebMercatorProjection.cs
+++ b/MapProjections/Shared/WebMercatorProjection.cs
@@ -19,7 +19,7 @@ namespace MapControl.Projections
             CoordinateSystem = ProjectedCoordinateSystem.WebMercator;
         }
 
-        public override Point GetRelativeScale(double latitude, double longitude)
+        public override Point RelativeScale(double latitude, double longitude)
         {
             var k = 1d / Math.Cos(latitude * Math.PI / 180d); // p.44 (7-3)
 
diff --git a/MapProjections/Shared/WorldMercatorProjection.cs b/MapProjections/Shared/WorldMercatorProjection.cs
index 8dc5b74f..3019e4d9 100644
--- a/MapProjections/Shared/WorldMercatorProjection.cs
+++ b/MapProjections/Shared/WorldMercatorProjection.cs
@@ -40,7 +40,7 @@ namespace MapControl.Projections
                 + "AUTHORITY[\"EPSG\",\"3395\"]]";
         }
 
-        public override Point GetRelativeScale(double latitude, double longitude)
+        public override Point RelativeScale(double latitude, double longitude)
         {
             var lat = latitude * Math.PI / 180d;
             var eSinLat = Wgs84Eccentricity * Math.Sin(lat);