diff --git a/libs/canvas/framed_curve.cc b/libs/canvas/framed_curve.cc
index 7808f4e226..d5bb23f4e7 100644
--- a/libs/canvas/framed_curve.cc
+++ b/libs/canvas/framed_curve.cc
@@ -85,8 +85,14 @@ FramedCurve::interpolate ()
 	}
 	samples.clear ();
 
-	InterpolatedCurve::interpolate (curve_points, points_per_segment, CatmullRomCentripetal, false, samples);
-	n_samples = samples.size();
+	if (_points.size() == 3) {
+		samples.push_back (curve_points.front());
+		samples.push_back (curve_points.back());
+		n_samples = 2;
+	} else {
+		InterpolatedCurve::interpolate (curve_points, points_per_segment, CatmullRomCentripetal, false, samples);
+		n_samples = samples.size();
+	}
 }
 
 void