diff --git a/src/drawer.js b/src/drawer.js
index 7029320d..9440c280 100644
--- a/src/drawer.js
+++ b/src/drawer.js
@@ -477,13 +477,14 @@ $.Drawer.prototype = {
         context.fillStyle = this.debugGridColor;
 
         if ( this.viewport.degrees !== 0 ) {
-            this._offsetForRotation(this.viewport.degrees);
+            this._offsetForRotation({degrees: this.viewport.degrees});
         }
         if (tiledImage.getRotation() !== 0) {
-            this._offsetForRotation(
-                tiledImage.getRotation(),
-                tiledImage.viewport.pixelFromPointNoRotate(
-                    tiledImage._getRotationPoint(true), true));
+            this._offsetForRotation({
+                degrees: tiledImage.getRotation(),
+                point: tiledImage.viewport.pixelFromPointNoRotate(
+                    tiledImage._getRotationPoint(true), true)
+            });
         }
 
         context.strokeRect(
@@ -588,13 +589,16 @@ $.Drawer.prototype = {
     },
 
     // private
-    _offsetForRotation: function(degrees, point, useSketch) {
-        point = point || this.getCanvasCenter();
-        var context = this._getContext(useSketch);
+    _offsetForRotation: function(options) {
+        var point = options.point ?
+            options.point.times($.pixelDensityRatio) :
+            this.getCanvasCenter();
+
+        var context = this._getContext(options.useSketch);
         context.save();
 
         context.translate(point.x, point.y);
-        context.rotate(Math.PI / 180 * degrees);
+        context.rotate(Math.PI / 180 * options.degrees);
         context.translate(-point.x, -point.y);
     },
 
diff --git a/src/tiledimage.js b/src/tiledimage.js
index 12d62950..c6659c77 100644
--- a/src/tiledimage.js
+++ b/src/tiledimage.js
@@ -1573,15 +1573,18 @@ function drawTiles( tiledImage, lastDrawn ) {
     // avoid interpolation
     if (!sketchScale) {
         if (tiledImage.viewport.degrees !== 0) {
-            tiledImage._drawer._offsetForRotation(
-                tiledImage.viewport.degrees, useSketch);
+            tiledImage._drawer._offsetForRotation({
+                degrees: tiledImage.viewport.degrees,
+                useSketch: useSketch
+            });
         }
         if (tiledImage._degrees !== 0) {
-            tiledImage._drawer._offsetForRotation(
-                tiledImage._degrees,
-                tiledImage.viewport.pixelFromPointNoRotate(
+            tiledImage._drawer._offsetForRotation({
+                degrees: tiledImage._degrees,
+                point: tiledImage.viewport.pixelFromPointNoRotate(
                     tiledImage._getRotationPoint(true), true),
-                useSketch);
+                useSketch: useSketch
+            });
         }
     }
 
@@ -1663,15 +1666,18 @@ function drawTiles( tiledImage, lastDrawn ) {
     if (useSketch) {
         if (sketchScale) {
             if (tiledImage.viewport.degrees !== 0) {
-                tiledImage._drawer._offsetForRotation(
-                    tiledImage.viewport.degrees, false);
+                tiledImage._drawer._offsetForRotation({
+                    degrees: tiledImage.viewport.degrees,
+                    useSketch: false
+                });
             }
             if (tiledImage._degrees !== 0) {
-                tiledImage._drawer._offsetForRotation(
-                    tiledImage._degrees,
-                    tiledImage.viewport.pixelFromPointNoRotate(
+                tiledImage._drawer._offsetForRotation({
+                    degrees: tiledImage._degrees,
+                    point: tiledImage.viewport.pixelFromPointNoRotate(
                         tiledImage._getRotationPoint(true), true),
-                    false);
+                    useSketch: false
+                });
             }
         }
         tiledImage._drawer.blendSketch({