diff --git a/src/ol/geom/flat/topologyflatgeom.js b/src/ol/geom/flat/topologyflatgeom.js
new file mode 100644
index 0000000000..a1b9f053f5
--- /dev/null
+++ b/src/ol/geom/flat/topologyflatgeom.js
@@ -0,0 +1,20 @@
+goog.provide('ol.geom.flat.topology');
+
+goog.require('ol.geom.flat.area');
+
+/**
+ * Check if the linestring is a boundary.
+ * @param {Array.<number>} flatCoordinates Flat coordinates.
+ * @param {number} offset Offset.
+ * @param {number} end End.
+ * @param {number} stride Stride.
+ * @return {boolean} The linestring is a boundary.
+ */
+ol.geom.flat.topology.lineStringIsClosed = function(flatCoordinates, offset, end, stride) {
+  var lastCoord = end - stride;
+  if (flatCoordinates[offset] === flatCoordinates[lastCoord] &&
+      flatCoordinates[offset + 1] === flatCoordinates[lastCoord + 1] && (end - offset) / stride > 3) {
+    return !!ol.geom.flat.area.linearRing(flatCoordinates, offset, end, stride);
+  }
+  return false;
+};
diff --git a/src/ol/render/webgl/imagereplay/index.js b/src/ol/render/webgl/imagereplay/index.js
index 54a187a368..3c1633341f 100644
--- a/src/ol/render/webgl/imagereplay/index.js
+++ b/src/ol/render/webgl/imagereplay/index.js
@@ -10,6 +10,8 @@ goog.require('ol.ext.earcut');
 goog.require('ol.extent');
 goog.require('ol.obj');
 goog.require('ol.render.ReplayGroup');
+goog.require('ol.geom.flat.orient');
+goog.require('ol.geom.flat.topology');
 goog.require('ol.render.VectorContext');
 goog.require('ol.render.replay');
 goog.require('ol.render.webgl.imagereplay.defaultshader');
@@ -1044,7 +1046,7 @@ ol.render.webgl.LineStringReplay.prototype.drawCoordinates_ = function(flatCoord
       this.state_.lineJoin === 'miter' ? 1 : 2;
   var lineCap = this.state_.lineCap === 'butt' ? 0 :
       this.state_.lineCap === 'square' ? 1 : 2;
-  var closed = this.isClosed_(flatCoordinates, offset, end, stride);
+  var closed = ol.geom.flat.topology.lineStringIsClosed(flatCoordinates, offset, end, stride);
   var startCoords, sign, n;
   var lastIndex = numIndices;
   var lastSign = 1;
@@ -1231,24 +1233,6 @@ ol.render.webgl.LineStringReplay.prototype.addVertices_ = function(p0, p1, p2, p
   return numVertices;
 };
 
-/**
- * Check if the linestring is a boundary.
- * @param {Array.<number>} flatCoordinates Flat coordinates.
- * @param {number} offset Offset.
- * @param {number} end End.
- * @param {number} stride Stride.
- * @return {boolean} The linestring is a boundary.
- * @private
- */
-ol.render.webgl.LineStringReplay.prototype.isClosed_ = function(flatCoordinates, offset, end, stride) {
-  var lastCoord = end - stride;
-  if (flatCoordinates[offset] === flatCoordinates[lastCoord] &&
-      flatCoordinates[offset + 1] === flatCoordinates[lastCoord + 1] && (end - offset) / stride > 3) {
-    return true;
-  }
-  return false;
-};
-
 /**
  * Check if the linestring can be drawn (i. e. valid).
  * @param {Array.<number>} flatCoordinates Flat coordinates.
diff --git a/test/spec/ol/geom/flat/topologyflatgeom.test.js b/test/spec/ol/geom/flat/topologyflatgeom.test.js
new file mode 100644
index 0000000000..dd93d83ac3
--- /dev/null
+++ b/test/spec/ol/geom/flat/topologyflatgeom.test.js
@@ -0,0 +1,33 @@
+goog.provide('ol.test.geom.flat.topology');
+
+describe('ol.geom.flat.topology', function() {
+
+  describe('ol.geom.flat.topology.lineStringIsClosed', function() {
+
+    it('identifies closed lines aka boundaries', function() {
+      var flatCoordinates = [0, 0, 3, 0, 0, 3, 0, 0];
+      var isClosed = ol.geom.flat.topology.lineStringIsClosed(flatCoordinates, 0, flatCoordinates.length, 2);
+      expect(isClosed).to.be(true);
+    });
+
+    it('identifies regular linestrings', function() {
+      var flatCoordinates = [0, 0, 3, 0, 0, 3, 5, 2];
+      var isClosed = ol.geom.flat.topology.lineStringIsClosed(flatCoordinates, 0, flatCoordinates.length, 2);
+      expect(isClosed).to.be(false);
+    });
+
+    it('identifies degenerate boundaries', function() {
+      var flatCoordinates = [0, 0, 3, 0, 0, 0];
+      var isClosed = ol.geom.flat.topology.lineStringIsClosed(flatCoordinates, 0, flatCoordinates.length, 2);
+      expect(isClosed).to.be(false);
+
+      flatCoordinates = [0, 0, 1, 1, 3, 3, 5, 5, 0, 0];
+      isClosed = ol.geom.flat.topology.lineStringIsClosed(flatCoordinates, 0, flatCoordinates.length, 2);
+      expect(isClosed).to.be(false);
+    });
+
+  });
+
+});
+
+goog.require('ol.geom.flat.topology');