diff --git a/src/BuildTiles/Clipper/clipper.cxx b/src/BuildTiles/Clipper/clipper.cxx
index ce27d792..5c6ba297 100644
--- a/src/BuildTiles/Clipper/clipper.cxx
+++ b/src/BuildTiles/Clipper/clipper.cxx
@@ -127,7 +127,7 @@ bool TGClipper::load_polys(const string& path) {
             } else {
                 startz = -9999.0;
             }
-	    p = Point3D(startx, starty, startz);
+	    p = Point3D(startx+0.2*SG_EPSILON, starty+0.2*SG_EPSILON, startz);
 	    poly.add_node( i, p );
             if ( poly3d ) {
                 fixed_elevations.unique_add( p );
@@ -141,7 +141,7 @@ bool TGClipper::load_polys(const string& path) {
                 } else {
                     z = -9999.0;
                 }
-		p = Point3D( x, y, z );
+		p = Point3D( x+0.2*SG_EPSILON, y+0.2*SG_EPSILON, z );
 		poly.add_node( i, p );
                 if ( poly3d ) {
                     fixed_elevations.unique_add( p );
@@ -161,7 +161,7 @@ bool TGClipper::load_polys(const string& path) {
                  && (fabs(startz - lastz) < SG_EPSILON) ) {
 		// last point same as first, discard
 	    } else {
-		p = Point3D( lastx, lasty, lastz );
+		p = Point3D( lastx+0.2*SG_EPSILON, lasty+0.2*SG_EPSILON, lastz );
 		poly.add_node( i, p );
                 if ( poly3d ) {
                     fixed_elevations.unique_add( p );
diff --git a/src/Lib/Polygon/polygon.cxx b/src/Lib/Polygon/polygon.cxx
index 8d132d05..2190dd05 100644
--- a/src/Lib/Polygon/polygon.cxx
+++ b/src/Lib/Polygon/polygon.cxx
@@ -325,8 +325,8 @@ void make_gpc_poly( const TGPolygon& in, gpc_polygon *out ) {
 
 	for ( int j = 0; j < in.contour_size( i ); ++j ) {
 	    p = in.get_pt( i, j );
-	    v_list.vertex[j].x = p.x()+2*SG_EPSILON;
-	    v_list.vertex[j].y = p.y()+2*SG_EPSILON;
+	    v_list.vertex[j].x = p.x();
+	    v_list.vertex[j].y = p.y();
 	}
 	v_list.num_vertices = in.contour_size( i );
 	gpc_add_contour( out, &v_list, in.get_hole_flag( i ) );