diff --git a/libs/canvas/curve.cc b/libs/canvas/curve.cc
index c2dd30ac16..827dee206d 100644
--- a/libs/canvas/curve.cc
+++ b/libs/canvas/curve.cc
@@ -198,6 +198,9 @@ Curve::render (Rect const & area, Cairo::RefPtr<Cairo::Context> context) const
 			last_y = round(window_space.y);
 			context->line_to (last_x - .5 , last_y + .5);
 		}
+		if (last_x != round(window_space.x) || last_y != round(window_space.y)) {
+			context->line_to (window_space.x - .5 , window_space.y + .5);
+		}
 
 		switch (curve_fill) {
 			case None:
diff --git a/libs/canvas/xfade_curve.cc b/libs/canvas/xfade_curve.cc
index 90871fb6d9..d137cf6cbc 100644
--- a/libs/canvas/xfade_curve.cc
+++ b/libs/canvas/xfade_curve.cc
@@ -174,6 +174,9 @@ XFadeCurve::get_path(Rect const & area, Cairo::RefPtr<Cairo::Context> context, C
 			last_y = round(window_space.y);
 			context->line_to (last_x - .5 , last_y + .5);
 		}
+		if (last_x != round(window_space.x) || last_y != round(window_space.y)) {
+			context->line_to (window_space.x - .5 , window_space.y + .5);
+		}
 	}
 	return context->copy_path ();
 }