diff --git a/src/ol/geom/multipolygon.js b/src/ol/geom/multipolygon.js
index 74880c43e9..87adb0c827 100644
--- a/src/ol/geom/multipolygon.js
+++ b/src/ol/geom/multipolygon.js
@@ -143,10 +143,10 @@ ol.geom.MultiPolygon.prototype.getSimplifiedGeometryInternal =
     function(squaredTolerance) {
   var simplifiedFlatCoordinates = [];
   var simplifiedEndss = [];
-  simplifiedFlatCoordinates.length =
-      ol.geom.simplify.douglasPeuckerss(this.flatCoordinates, 0,
-          this.endss_, this.stride, squaredTolerance, simplifiedFlatCoordinates,
-          0, simplifiedEndss);
+  simplifiedFlatCoordinates.length = ol.geom.simplify.quantizess(
+      this.flatCoordinates, 0, this.endss_, this.stride,
+      Math.sqrt(squaredTolerance),
+      simplifiedFlatCoordinates, 0, simplifiedEndss);
   var simplifiedMultiPolygon = new ol.geom.MultiPolygon(null);
   simplifiedMultiPolygon.setFlatCoordinates(
       ol.geom.GeometryLayout.XY, simplifiedFlatCoordinates, simplifiedEndss);
diff --git a/src/ol/geom/polygon.js b/src/ol/geom/polygon.js
index 9300613f4b..b6d67d87fd 100644
--- a/src/ol/geom/polygon.js
+++ b/src/ol/geom/polygon.js
@@ -157,8 +157,9 @@ ol.geom.Polygon.prototype.getSimplifiedGeometryInternal =
     function(squaredTolerance) {
   var simplifiedFlatCoordinates = [];
   var simplifiedEnds = [];
-  simplifiedFlatCoordinates.length = ol.geom.simplify.douglasPeuckers(
-      this.flatCoordinates, 0, this.ends_, this.stride, squaredTolerance,
+  simplifiedFlatCoordinates.length = ol.geom.simplify.quantizes(
+      this.flatCoordinates, 0, this.ends_, this.stride,
+      Math.sqrt(squaredTolerance),
       simplifiedFlatCoordinates, 0, simplifiedEnds);
   var simplifiedPolygon = new ol.geom.Polygon(null);
   simplifiedPolygon.setFlatCoordinates(
diff --git a/src/ol/geom/simplifygeom.js b/src/ol/geom/simplifygeom.js
index d7cab5ea77..427f8b22ce 100644
--- a/src/ol/geom/simplifygeom.js
+++ b/src/ol/geom/simplifygeom.js
@@ -233,3 +233,167 @@ ol.geom.simplify.radialDistance = function(flatCoordinates, offset, end,
   }
   return simplifiedOffset;
 };
+
+
+/**
+ * @param {number} value Value.
+ * @param {number} tolerance Squared tolerance.
+ * @return {number} Rounded value.
+ */
+ol.geom.simplify.snap = function(value, tolerance) {
+  return tolerance * Math.round(value / tolerance);
+};
+
+
+/**
+ * Simplifies a line string using an algorithm designed by Tim Schaub.
+ * Coordinates are snapped to the nearest value in a virtual grid and
+ * consecutive duplicate coordinates are discarded.  This effectively preserves
+ * topology as the simplification of any subsection of a line string is
+ * independent of the rest of the line string.  This means that, for examples,
+ * the common edge between two polygons will be simplified to the same line
+ * string independently in both polygons.  This implementation uses a single
+ * pass over the coordinates and eliminates intermediate collinear points.
+ * @param {Array.<number>} flatCoordinates Flat coordinates.
+ * @param {number} offset Offset.
+ * @param {number} end End.
+ * @param {number} stride Stride.
+ * @param {number} tolerance Squared tolerance.
+ * @param {Array.<number>} simplifiedFlatCoordinates Simplified flat
+ *     coordinates.
+ * @param {number} simplifiedOffset Simplified offset.
+ * @return {number} Simplified offset.
+ */
+ol.geom.simplify.quantize = function(flatCoordinates, offset, end, stride,
+    tolerance, simplifiedFlatCoordinates, simplifiedOffset) {
+  // do nothing if the line is empty
+  if (offset == end) {
+    return simplifiedOffset;
+  }
+  // snap the first coordinate (P1)
+  var x1 = ol.geom.simplify.snap(flatCoordinates[offset], tolerance);
+  var y1 = ol.geom.simplify.snap(flatCoordinates[offset + 1], tolerance);
+  offset += stride;
+  // add the first coordinate to the output
+  simplifiedFlatCoordinates[simplifiedOffset++] = x1;
+  simplifiedFlatCoordinates[simplifiedOffset++] = y1;
+  // find the next coordinate that does not snap to the same value as the first
+  // coordinate (P2)
+  var x2, y2;
+  do {
+    x2 = ol.geom.simplify.snap(flatCoordinates[offset], tolerance);
+    y2 = ol.geom.simplify.snap(flatCoordinates[offset + 1], tolerance);
+    offset += stride;
+    if (offset == end) {
+      // all coordinates snap to the same value, the line collapses to a point
+      // push the last snapped value anyway to ensure that the output contains
+      // at least two points
+      // FIXME should we really return at least two points anyway?
+      simplifiedFlatCoordinates[simplifiedOffset++] = x2;
+      simplifiedFlatCoordinates[simplifiedOffset++] = y2;
+      return simplifiedOffset;
+    }
+  } while (x2 == x1 && y2 == y1);
+  while (offset < end) {
+    var x3, y3;
+    // snap the next coordinate (P3)
+    x3 = ol.geom.simplify.snap(flatCoordinates[offset], tolerance);
+    y3 = ol.geom.simplify.snap(flatCoordinates[offset + 1], tolerance);
+    offset += stride;
+    // skip P3 if it is equal to P2
+    if (x3 == x2 && y3 == y2) {
+      continue;
+    }
+    // calculate the delta between P1 and P2
+    var dx1 = x2 - x1;
+    var dy1 = y2 - y1;
+    // calculate the delta between P3 and P1
+    var dx2 = x3 - x1;
+    var dy2 = y3 - y1;
+    // if P1, P2, and P3 are colinear and P3 is further from P1 than P2 is from
+    // P1 in the same direction then P2 is on the straight line between P1 and
+    // P3
+    if ((dx1 * dy2 == dy1 * dx2) &&
+        ((dx1 < 0 && dx2 < dx1) || dx1 == dx2 || (dx1 > 0 && dx2 > dx1)) &&
+        ((dy1 < 0 && dy2 < dy1) || dy1 == dy2 || (dy1 > 0 && dy2 > dy1))) {
+      // discard P2 and set P2 = P3
+      x2 = x3;
+      y2 = y3;
+      continue;
+    }
+    // either P1, P2, and P3 are not colinear, or they are colinear but P3 is
+    // between P3 and P1 or on the opposite half of the line to P2.  add P2,
+    // and continue with P1 = P2 and P2 = P3
+    simplifiedFlatCoordinates[simplifiedOffset++] = x2;
+    simplifiedFlatCoordinates[simplifiedOffset++] = y2;
+    x1 = x2;
+    y1 = y2;
+    x2 = x3;
+    y2 = y3;
+  }
+  // add the last point (P2)
+  simplifiedFlatCoordinates[simplifiedOffset++] = x2;
+  simplifiedFlatCoordinates[simplifiedOffset++] = y2;
+  return simplifiedOffset;
+};
+
+
+/**
+ * @param {Array.<number>} flatCoordinates Flat coordinates.
+ * @param {number} offset Offset.
+ * @param {Array.<number>} ends Ends.
+ * @param {number} stride Stride.
+ * @param {number} tolerance Squared tolerance.
+ * @param {Array.<number>} simplifiedFlatCoordinates Simplified flat
+ *     coordinates.
+ * @param {number} simplifiedOffset Simplified offset.
+ * @param {Array.<number>} simplifiedEnds Simplified ends.
+ * @return {number} Simplified offset.
+ */
+ol.geom.simplify.quantizes = function(
+    flatCoordinates, offset, ends, stride,
+    tolerance,
+    simplifiedFlatCoordinates, simplifiedOffset, simplifiedEnds) {
+  var i, ii;
+  for (i = 0, ii = ends.length; i < ii; ++i) {
+    var end = ends[i];
+    simplifiedOffset = ol.geom.simplify.quantize(
+        flatCoordinates, offset, end, stride,
+        tolerance,
+        simplifiedFlatCoordinates, simplifiedOffset);
+    simplifiedEnds.push(simplifiedOffset);
+    offset = end;
+  }
+  return simplifiedOffset;
+};
+
+
+/**
+ * @param {Array.<number>} flatCoordinates Flat coordinates.
+ * @param {number} offset Offset.
+ * @param {Array.<Array.<number>>} endss Endss.
+ * @param {number} stride Stride.
+ * @param {number} tolerance Squared tolerance.
+ * @param {Array.<number>} simplifiedFlatCoordinates Simplified flat
+ *     coordinates.
+ * @param {number} simplifiedOffset Simplified offset.
+ * @param {Array.<Array.<number>>} simplifiedEndss Simplified endss.
+ * @return {number} Simplified offset.
+ */
+ol.geom.simplify.quantizess = function(
+    flatCoordinates, offset, endss, stride,
+    tolerance,
+    simplifiedFlatCoordinates, simplifiedOffset, simplifiedEndss) {
+  var i, ii;
+  for (i = 0, ii = endss.length; i < ii; ++i) {
+    var ends = endss[i];
+    var simplifiedEnds = [];
+    simplifiedOffset = ol.geom.simplify.quantizes(
+        flatCoordinates, offset, ends, stride,
+        tolerance,
+        simplifiedFlatCoordinates, simplifiedOffset, simplifiedEnds);
+    simplifiedEndss.push(simplifiedEnds);
+    offset = ends[ends.length - 1];
+  }
+  return simplifiedOffset;
+};
diff --git a/test/spec/ol/geom/polygon.test.js b/test/spec/ol/geom/polygon.test.js
index a4410ff881..1f6e57089d 100644
--- a/test/spec/ol/geom/polygon.test.js
+++ b/test/spec/ol/geom/polygon.test.js
@@ -321,17 +321,17 @@ describe('ol.geom.Polygon', function() {
     describe('#getSimplifiedGeometry', function() {
 
       it('returns the expected result', function() {
-        var simplifiedGeometry = polygon.getSimplifiedGeometry(1);
+        var simplifiedGeometry = polygon.getSimplifiedGeometry(9);
         expect(simplifiedGeometry).to.be.an(ol.geom.Polygon);
         expect(simplifiedGeometry.getCoordinates()).to.eql(
-            [[[3, 0], [0, 6], [6, 6], [4, 3]]]);
+            [[[3, 0], [0, 3], [0, 6], [6, 6], [3, 3]]]);
       });
 
       it('caches multiple simplified geometries', function() {
-        var simplifiedGeometry1 = polygon.getSimplifiedGeometry(1);
-        var simplifiedGeometry2 = polygon.getSimplifiedGeometry(2);
-        var simplifiedGeometry3 = polygon.getSimplifiedGeometry(1);
-        var simplifiedGeometry4 = polygon.getSimplifiedGeometry(2);
+        var simplifiedGeometry1 = polygon.getSimplifiedGeometry(4);
+        var simplifiedGeometry2 = polygon.getSimplifiedGeometry(9);
+        var simplifiedGeometry3 = polygon.getSimplifiedGeometry(4);
+        var simplifiedGeometry4 = polygon.getSimplifiedGeometry(9);
         expect(simplifiedGeometry1).to.be(simplifiedGeometry3);
         expect(simplifiedGeometry2).to.be(simplifiedGeometry4);
       });
diff --git a/test/spec/ol/geom/simplifygeom.test.js b/test/spec/ol/geom/simplifygeom.test.js
index 00795806d7..a59f128304 100644
--- a/test/spec/ol/geom/simplifygeom.test.js
+++ b/test/spec/ol/geom/simplifygeom.test.js
@@ -287,6 +287,71 @@ describe('ol.geom.simplify', function() {
 
   });
 
+  describe('ol.geom.simplify.quantize', function() {
+
+    it('handles empty coordinates', function() {
+      var simplifiedFlatCoordinates = [];
+      expect(ol.geom.simplify.quantize(
+          [], 0, 0, 2, 2, simplifiedFlatCoordinates, 0)).to.be(0);
+      expect(simplifiedFlatCoordinates).to.be.empty();
+    });
+
+    it('expands points to a zero-length line', function() {
+      var simplifiedFlatCoordinates = [];
+      expect(ol.geom.simplify.quantize(
+          [0, 0, 0, 0], 0, 4, 2, 2, simplifiedFlatCoordinates, 0)).to.be(4);
+      expect(simplifiedFlatCoordinates).to.eql([0, 0, 0, 0]);
+    });
+
+    it('snaps near-by points to the same value', function() {
+      var simplifiedFlatCoordinates = [];
+      expect(ol.geom.simplify.quantize(
+          [0.1, 0, 0, 0.1], 0, 4, 2, 2, simplifiedFlatCoordinates, 0)).to.be(4);
+      expect(simplifiedFlatCoordinates).to.eql([0, 0, 0, 0]);
+    });
+
+    it('eliminates duplicate snapped points', function() {
+      var simplifiedFlatCoordinates = [];
+      expect(ol.geom.simplify.quantize(
+          [0.1, 0, 2, 0, 2.1, 0, 2, 0.1, 1.9, 0, 2, -0.1], 0, 12, 2, 2,
+          simplifiedFlatCoordinates, 0)).to.be(4);
+      expect(simplifiedFlatCoordinates).to.eql([0, 0, 2, 0]);
+    });
+
+    it('eliminates horizontal colinear points', function() {
+      var simplifiedFlatCoordinates = [];
+      expect(ol.geom.simplify.quantize(
+          [0, 0, 2, 0, 4, 0, 6, 0], 0, 8, 2, 2,
+          simplifiedFlatCoordinates, 0)).to.be(4);
+      expect(simplifiedFlatCoordinates).to.eql([0, 0, 6, 0]);
+    });
+
+    it('eliminates vertical colinear points', function() {
+      var simplifiedFlatCoordinates = [];
+      expect(ol.geom.simplify.quantize(
+          [0, 0, 0, -2, 0, -4, 0, -6], 0, 8, 2, 2,
+          simplifiedFlatCoordinates, 0)).to.be(4);
+      expect(simplifiedFlatCoordinates).to.eql([0, 0, 0, -6]);
+    });
+
+    it('eliminates diagonal colinear points', function() {
+      var simplifiedFlatCoordinates = [];
+      expect(ol.geom.simplify.quantize(
+          [0, 0, 2, -2, 4, -4, 6, -6], 0, 8, 2, 2,
+          simplifiedFlatCoordinates, 0)).to.be(4);
+      expect(simplifiedFlatCoordinates).to.eql([0, 0, 6, -6]);
+    });
+
+    it('handles switchbacks', function() {
+      var simplifiedFlatCoordinates = [];
+      expect(ol.geom.simplify.quantize(
+          [0, 0, 2, 0, 0, 0, 4, 0], 0, 8, 2, 2,
+          simplifiedFlatCoordinates, 0)).to.be(8);
+      expect(simplifiedFlatCoordinates).to.eql([0, 0, 2, 0, 0, 0, 4, 0]);
+    });
+
+  });
+
 });