diff --git a/src/ol/reproj/triangulation.js b/src/ol/reproj/triangulation.js
index 374dd81988..da4655d0d1 100644
--- a/src/ol/reproj/triangulation.js
+++ b/src/ol/reproj/triangulation.js
@@ -1,6 +1,7 @@
 goog.provide('ol.reproj.Triangulation');
 
 goog.require('goog.array');
+goog.require('goog.asserts');
 goog.require('goog.math');
 goog.require('ol.extent');
 goog.require('ol.proj');
@@ -89,10 +90,18 @@ ol.reproj.Triangulation = function(sourceProj, targetProj, targetExtent,
        ol.extent.getWidth(this.sourceProj_.getExtent()));
 
   /**
-   * @type {number}
+   * @type {?number}
    * @private
    */
-  this.sourceWorldWidth_ = ol.extent.getWidth(this.sourceProj_.getExtent());
+  this.sourceWorldWidth_ = !goog.isNull(this.sourceProj_.getExtent()) ?
+      ol.extent.getWidth(this.sourceProj_.getExtent()) : null;
+
+  /**
+   * @type {?number}
+   * @private
+   */
+  this.targetWorldWidth_ = !goog.isNull(this.targetProj_.getExtent()) ?
+      ol.extent.getWidth(this.targetProj_.getExtent()) : null;
 
   var tlDst = ol.extent.getTopLeft(targetExtent);
   var trDst = ol.extent.getTopRight(targetExtent);
@@ -146,29 +155,43 @@ ol.reproj.Triangulation.prototype.addQuadIfValid_ = function(a, b, c, d,
     aSrc, bSrc, cSrc, dSrc, maxSubdiv) {
 
   var srcQuadExtent = ol.extent.boundingExtent([aSrc, bSrc, cSrc, dSrc]);
-  if (!goog.isNull(this.maxSourceExtent_)) {
-    if (!ol.extent.intersects(srcQuadExtent, this.maxSourceExtent_)) {
-      // whole quad outside source projection extent -> ignore
-      return;
-    }
-  }
-  var srcCoverageX = ol.extent.getWidth(srcQuadExtent) / this.sourceWorldWidth_;
+  var srcCoverageX = !goog.isNull(this.sourceWorldWidth_) ?
+      ol.extent.getWidth(srcQuadExtent) / this.sourceWorldWidth_ : null;
 
   // when the quad is wrapped in the source projection
   // it covers most of the projection extent, but not fully
   var wrapsX = this.sourceProj_.canWrapX() &&
                srcCoverageX > 0.5 && srcCoverageX < 1;
 
-  if (maxSubdiv > 0) {
-    var needsSubdivision = !wrapsX && this.sourceProj_.isGlobal() &&
-                           srcCoverageX > ol.RASTER_REPROJ_MAX_TRIANGLE_WIDTH;
+  var needsSubdivision = false;
 
+  if (maxSubdiv > 0) {
+    if (this.targetProj_.isGlobal() && !goog.isNull(this.targetWorldWidth_)) {
+      var tgtQuadExtent = ol.extent.boundingExtent([a, b, c, d]);
+      var tgtCoverageX =
+          ol.extent.getWidth(tgtQuadExtent) / this.targetWorldWidth_;
+      needsSubdivision |= tgtCoverageX > ol.RASTER_REPROJ_MAX_TRIANGLE_WIDTH;
+    }
+    if (!wrapsX && this.sourceProj_.isGlobal() && !goog.isNull(srcCoverageX)) {
+      needsSubdivision |= srcCoverageX > ol.RASTER_REPROJ_MAX_TRIANGLE_WIDTH;
+    }
+  }
+
+  if (!needsSubdivision && !goog.isNull(this.maxSourceExtent_)) {
+    if (!ol.extent.intersects(srcQuadExtent, this.maxSourceExtent_)) {
+      // whole quad outside source projection extent -> ignore
+      return;
+    }
+  }
+
+  if (maxSubdiv > 0) {
     var center = [(a[0] + c[0]) / 2, (a[1] + c[1]) / 2];
     var centerSrc = this.transformInv_(center);
 
     if (!needsSubdivision) {
       var dx;
       if (wrapsX) {
+        goog.asserts.assert(!goog.isNull(this.sourceWorldWidth_));
         var centerSrcEstimX =
             (goog.math.modulo(aSrc[0], this.sourceWorldWidth_) +
              goog.math.modulo(cSrc[0], this.sourceWorldWidth_)) / 2;
@@ -232,6 +255,7 @@ ol.reproj.Triangulation.prototype.calculateSourceExtent = function() {
     // to properly calculate the extent (and then possibly shifted back)
 
     goog.array.forEach(this.triangles_, function(triangle, i, arr) {
+      goog.asserts.assert(!goog.isNull(this.sourceWorldWidth_));
       var src = triangle.source;
       ol.extent.extendCoordinate(extent,
           [goog.math.modulo(src[0][0], this.sourceWorldWidth_), src[0][1]]);