diff --git a/src/ol/geom/multipolygon.js b/src/ol/geom/multipolygon.js
index 74880c43e9..9b4a279384 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.schaubss(
+      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..a678b4e14b 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.schaubs(
+      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/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);
       });