diff --git a/src/ol/render/canvas/imagereplay.js b/src/ol/render/canvas/imagereplay.js
index 86ef562ce2..3d14617a3a 100644
--- a/src/ol/render/canvas/imagereplay.js
+++ b/src/ol/render/canvas/imagereplay.js
@@ -109,7 +109,7 @@ ol.inherits(ol.render.canvas.ImageReplay, ol.render.canvas.Replay);
  */
 ol.render.canvas.ImageReplay.prototype.drawCoordinates_ = function(flatCoordinates, offset, end, stride) {
   return this.appendFlatCoordinates(
-      flatCoordinates, offset, end, stride, false);
+      flatCoordinates, offset, end, stride, false, false);
 };
 
 
diff --git a/src/ol/render/canvas/linestringreplay.js b/src/ol/render/canvas/linestringreplay.js
index b0aa86c0fa..83ccbc483b 100644
--- a/src/ol/render/canvas/linestringreplay.js
+++ b/src/ol/render/canvas/linestringreplay.js
@@ -75,7 +75,7 @@ ol.inherits(ol.render.canvas.LineStringReplay, ol.render.canvas.Replay);
 ol.render.canvas.LineStringReplay.prototype.drawFlatCoordinates_ = function(flatCoordinates, offset, end, stride) {
   var myBegin = this.coordinates.length;
   var myEnd = this.appendFlatCoordinates(
-      flatCoordinates, offset, end, stride, false);
+      flatCoordinates, offset, end, stride, false, false);
   var moveToLineToInstruction =
       [ol.render.canvas.Instruction.MOVE_TO_LINE_TO, myBegin, myEnd];
   this.instructions.push(moveToLineToInstruction);
diff --git a/src/ol/render/canvas/polygonreplay.js b/src/ol/render/canvas/polygonreplay.js
index d5f5c76ce2..5d93591df8 100644
--- a/src/ol/render/canvas/polygonreplay.js
+++ b/src/ol/render/canvas/polygonreplay.js
@@ -87,7 +87,7 @@ ol.render.canvas.PolygonReplay.prototype.drawFlatCoordinatess_ = function(flatCo
     var end = ends[i];
     var myBegin = this.coordinates.length;
     var myEnd = this.appendFlatCoordinates(
-        flatCoordinates, offset, end, stride, true);
+        flatCoordinates, offset, end, stride, true, !stroke);
     var moveToLineToInstruction =
         [ol.render.canvas.Instruction.MOVE_TO_LINE_TO, myBegin, myEnd];
     this.instructions.push(moveToLineToInstruction);
@@ -148,7 +148,7 @@ ol.render.canvas.PolygonReplay.prototype.drawCircle = function(circleGeometry, f
   var stride = circleGeometry.getStride();
   var myBegin = this.coordinates.length;
   this.appendFlatCoordinates(
-      flatCoordinates, 0, flatCoordinates.length, stride, false);
+      flatCoordinates, 0, flatCoordinates.length, stride, false, false);
   var beginPathInstruction = [ol.render.canvas.Instruction.BEGIN_PATH];
   var circleInstruction = [ol.render.canvas.Instruction.CIRCLE, myBegin];
   this.instructions.push(beginPathInstruction, circleInstruction);
diff --git a/src/ol/render/canvas/replay.js b/src/ol/render/canvas/replay.js
index c092ebe04e..2136448a2b 100644
--- a/src/ol/render/canvas/replay.js
+++ b/src/ol/render/canvas/replay.js
@@ -120,14 +120,18 @@ ol.inherits(ol.render.canvas.Replay, ol.render.VectorContext);
  * @param {number} offset Offset.
  * @param {number} end End.
  * @param {number} stride Stride.
- * @param {boolean} close Close.
+ * @param {boolean} closed Last input coordinate equals first.
+ * @param {boolean} skipFirst Skip first coordinate.
  * @protected
  * @return {number} My end.
  */
-ol.render.canvas.Replay.prototype.appendFlatCoordinates = function(flatCoordinates, offset, end, stride, close) {
+ol.render.canvas.Replay.prototype.appendFlatCoordinates = function(flatCoordinates, offset, end, stride, closed, skipFirst) {
 
   var myEnd = this.coordinates.length;
   var extent = this.getBufferedMaxExtent();
+  if (skipFirst) {
+    offset += stride;
+  }
   var lastCoord = [flatCoordinates[offset], flatCoordinates[offset + 1]];
   var nextCoord = [NaN, NaN];
   var skipped = true;
@@ -157,8 +161,8 @@ ol.render.canvas.Replay.prototype.appendFlatCoordinates = function(flatCoordinat
     lastRel = nextRel;
   }
 
-  // When we want to close or there is only one point to append:
-  if ((close && skipped) || i === offset + stride) {
+  // Last coordinate equals first or only one point to append:
+  if ((closed && skipped) || i === offset + stride) {
     this.coordinates[myEnd++] = lastCoord[0];
     this.coordinates[myEnd++] = lastCoord[1];
   }
diff --git a/src/ol/render/canvas/textreplay.js b/src/ol/render/canvas/textreplay.js
index 7453382063..ba2794f6b4 100644
--- a/src/ol/render/canvas/textreplay.js
+++ b/src/ol/render/canvas/textreplay.js
@@ -115,7 +115,7 @@ ol.render.canvas.TextReplay.prototype.drawText = function(flatCoordinates, offse
   this.beginGeometry(geometry, feature);
   var myBegin = this.coordinates.length;
   var myEnd =
-      this.appendFlatCoordinates(flatCoordinates, offset, end, stride, false);
+      this.appendFlatCoordinates(flatCoordinates, offset, end, stride, false, false);
   var fill = !!this.textFillState_;
   var stroke = !!this.textStrokeState_;
   var drawTextInstruction = [
diff --git a/test/spec/ol/renderer/canvas/replay.test.js b/test/spec/ol/renderer/canvas/replay.test.js
index 493d538dea..68ee494d1c 100644
--- a/test/spec/ol/renderer/canvas/replay.test.js
+++ b/test/spec/ol/renderer/canvas/replay.test.js
@@ -165,19 +165,25 @@ describe('ol.render.canvas.Replay', function() {
 
     it('appends coordinates that are within the max extent', function() {
       var flat = [-110, 45, 110, 45, 110, -45, -110, -45];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false, false);
       expect(replay.coordinates).to.eql(flat);
     });
 
     it('appends polygon coordinates that are within the max extent', function() {
       var flat = [-110, 45, 110, 45, 110, -45, -110, -45, -110, 45];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true, false);
       expect(replay.coordinates).to.eql(flat);
     });
 
+    it('appends polygon coordinates that are within the max extent (skipping first)', function() {
+      var flat = [-110, 45, 110, 45, 110, -45, -110, -45, -110, 45];
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true, true);
+      expect(replay.coordinates).to.eql([110, 45, 110, -45, -110, -45, -110, 45]);
+    });
+
     it('works with a single coordinate (inside)', function() {
       var flat = [-110, 45];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false, false);
       expect(replay.coordinates).to.eql(flat);
     });
 
@@ -185,7 +191,7 @@ describe('ol.render.canvas.Replay', function() {
       // this could be changed, but to make the code simpler for properly
       // closing rings, we always add the first point
       var flat = [-110, 145];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false, false);
       expect(replay.coordinates).to.eql(flat);
     });
 
@@ -193,21 +199,27 @@ describe('ol.render.canvas.Replay', function() {
       // this could be changed, but to make the code simpler for properly
       // closing rings, we always add the first point
       var flat = [-110, 145, -110, 145];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true, false);
       expect(replay.coordinates).to.eql(flat);
     });
 
+    it('skips first polygon vertex upon request (also when outside)', function() {
+      var flat = [-110, 145, -110, 145];
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true, true);
+      expect(replay.coordinates).to.eql([-110, 145]);
+    });
+
     it('appends points when segments cross (top to bottom)', function() {
       // this means we get a few extra points when coordinates are not
       // part of a linestring or ring, but only a few extra
       var flat = [0, 200, 0, -200];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false, false);
       expect(replay.coordinates).to.eql(flat);
     });
 
     it('appends points when segments cross (top to inside)', function() {
       var flat = [0, 200, 0, 0];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false, false);
       expect(replay.coordinates).to.eql(flat);
     });
 
@@ -215,7 +227,7 @@ describe('ol.render.canvas.Replay', function() {
       // this could be changed, but to make the code simpler for properly
       // closing rings, we always add the first segment
       var flat = [-10, 200, 10, 200];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false, false);
       expect(replay.coordinates).to.eql(flat);
     });
 
@@ -223,46 +235,70 @@ describe('ol.render.canvas.Replay', function() {
       // this could be changed, but to make the code simpler for properly
       // closing rings, we always add the first segment
       var flat = [-10, 200, 10, 200, -10, 200];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true, false);
       expect(replay.coordinates).to.eql(flat);
     });
 
+    it('skips first polygon segment upon request (also when outside)', function() {
+      var flat = [-10, 200, 10, 200, -10, 200];
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true, true);
+      expect(replay.coordinates).to.eql([10, 200, -10, 200]);
+    });
+
     it('eliminates segments outside (and not changing rel)', function() {
       var flat = [0, 0, 0, 200, 5, 200, 10, 200];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false, false);
       expect(replay.coordinates).to.eql([0, 0, 0, 200]);
     });
 
     it('eliminates polygon segments outside (and not changing rel)', function() {
       var flat = [0, 0, 0, 200, 5, 200, 10, 200, 0, 0];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true, false);
       expect(replay.coordinates).to.eql([0, 0, 0, 200, 10, 200, 0, 0]);
     });
 
+    it('eliminates polygon segments outside (skipping first and not changing rel)', function() {
+      var flat = [0, 0, 0, 10, 0, 200, 5, 200, 10, 200, 0, 0];
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true, true);
+      expect(replay.coordinates).to.eql([0, 10, 0, 200, 10, 200, 0, 0]);
+    });
+
     it('eliminates segments outside (and not changing rel)', function() {
       var flat = [0, 0, 0, 200, 10, 200];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false, false);
       expect(replay.coordinates).to.eql([0, 0, 0, 200]);
     });
 
     it('includes polygon segments outside (and not changing rel) when on last segment', function() {
       var flat = [0, 0, 0, 200, 10, 200, 0, 0];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true, false);
       expect(replay.coordinates).to.eql(flat);
     });
 
+    it('includes polygon segments outside (skipping first and not changing rel) when on last segment', function() {
+      var flat = [0, 0, 0, 200, 10, 200, 0, 0];
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true, true);
+      expect(replay.coordinates).to.eql([0, 200, 10, 200, 0, 0]);
+    });
+
     it('includes outside segments that change relationship', function() {
       var flat = [0, 0, 0, 200, 200, 200, 250, 200];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, false, false);
       expect(replay.coordinates).to.eql([0, 0, 0, 200, 200, 200]);
     });
 
     it('includes outside polygon segments that change relationship when on last segment', function() {
       var flat = [0, 0, 0, 200, 200, 200, 250, 200, 0, 0];
-      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true);
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true, false);
       expect(replay.coordinates).to.eql(flat);
     });
 
+    it('includes outside polygon segments that change relationship when on last segment (when skipping first)', function() {
+      var flat = [0, 0, 0, 200, 200, 200, 250, 200, 0, 0];
+      replay.appendFlatCoordinates(flat, 0, flat.length, 2, true, true);
+      expect(replay.coordinates).to.eql([0, 200, 200, 200, 250, 200, 0, 0]);
+    });
+
   });
 
 });