diff --git a/FIAT/restricted.py b/FIAT/restricted.py
index 2dd9abf35..b985f14b4 100644
--- a/FIAT/restricted.py
+++ b/FIAT/restricted.py
@@ -11,14 +11,14 @@
 class RestrictedElement(CiarletElement):
     """Restrict given element to specified list of dofs."""
 
-    def __init__(self, element, indices=None, restriction_domain=None):
+    def __init__(self, element, indices=None, restriction_domain=None, take_closure=True):
         '''For sake of argument, indices overrides restriction_domain'''
 
         if not (indices or restriction_domain):
             raise RuntimeError("Either indices or restriction_domain must be passed in")
 
         if not indices:
-            indices = _get_indices(element, restriction_domain)
+            indices = _get_indices(element, restriction_domain, take_closure)
 
         if isinstance(indices, str):
             raise RuntimeError("variable 'indices' was a string; did you forget to use a keyword?")
@@ -70,7 +70,7 @@ def _key(x):
     return sorted(mapping.items(), key=_key)
 
 
-def _get_indices(element, restriction_domain):
+def _get_indices(element, restriction_domain, take_closure):
     "Restriction domain can be 'interior', 'vertex', 'edge', 'face' or 'facet'"
 
     if restriction_domain == "interior":
@@ -91,9 +91,10 @@ def _get_indices(element, restriction_domain):
 
     is_prodcell = isinstance(max(element.entity_dofs().keys()), tuple)
 
+    ldim = 0 if take_closure else dim
     entity_dofs = element.entity_dofs()
     indices = []
-    for d in range(dim + 1):
+    for d in range(ldim, dim + 1):
         if is_prodcell:
             for a in range(d + 1):
                 b = d - a