diff --git a/Lib/cu2qu/geometry.py b/Lib/cu2qu/geometry.py
index 3b9497e5a..b6d8df883 100644
--- a/Lib/cu2qu/geometry.py
+++ b/Lib/cu2qu/geometry.py
@@ -146,13 +146,13 @@ def curve_to_quadratic(p, max_n, max_err):
     return spline
 
 
-def curves_to_quadratic(curves, max_n, max_err):
+def curves_to_quadratic(curves, max_n, max_errors):
     """Return quadratic splines approximating these cubic beziers."""
 
     for n in range(1, max_n + 1):
         splines = [cubic_approx_spline(c, n) for c in curves]
         if (all(splines) and
-            max(curve_spline_dist(c, s)
-                for c, s in zip(curves, splines)) <= max_err):
+            all(curve_spline_dist(c, s) < max_err
+                for c, s, max_err in zip(curves, splines, max_errors))):
             break
     return splines
diff --git a/Lib/cu2qu/rf.py b/Lib/cu2qu/rf.py
index fb74a4f7f..c91073932 100644
--- a/Lib/cu2qu/rf.py
+++ b/Lib/cu2qu/rf.py
@@ -47,11 +47,12 @@ def fonts_to_quadratic(*fonts, **kwargs):
     """
 
     max_n = kwargs.get('max_n', 10)
-    max_err = kwargs.get('max_err', 5)
+    max_err = kwargs.get('max_err', 0.0025)
+    max_errors = [f.info.unitsPerEm * max_err for f in fonts]
 
     report = {}
     for glyph in FontCollection(fonts):
-        glyph_to_quadratic(glyph, max_n, max_err, report)
+        glyph_to_quadratic(glyph, max_n, max_errors, report)
 
     spline_lengths = report.keys()
     spline_lengths.sort()