diff --git a/content/src/outline.rs b/content/src/outline.rs
index 659e5f6c..74a20df2 100644
--- a/content/src/outline.rs
+++ b/content/src/outline.rs
@@ -226,6 +226,11 @@ impl Outline {
             self.push_contour(ContourRectClipper::new(clip_rect, contour).clip());
         }
     }
+
+    #[inline]
+    pub fn close_all_contours(&mut self) {
+        self.contours.iter_mut().for_each(|contour| contour.close());
+    }
 }
 
 impl Debug for Outline {
diff --git a/renderer/src/scene.rs b/renderer/src/scene.rs
index d33451cf..16949855 100644
--- a/renderer/src/scene.rs
+++ b/renderer/src/scene.rs
@@ -138,6 +138,7 @@ impl Scene {
                     outline = Outline::new();
                 } else {
                     outline = (*original_outline).clone();
+                    outline.close_all_contours();
                     outline.clip_against_polygon(clip_polygon);
                     outline.apply_perspective(perspective);
 
@@ -147,6 +148,7 @@ impl Scene {
             _ => {
                 // TODO(pcwalton): Short circuit.
                 outline = (*original_outline).clone();
+                outline.close_all_contours();
                 if options.transform.is_2d() || options.subpixel_aa_enabled {
                     let mut transform = match options.transform {
                         PreparedRenderTransform::Transform2D(transform) => transform,