diff --git a/src/db/db/dbEdgeProcessor.cc b/src/db/db/dbEdgeProcessor.cc
index 60c449a13..60889271b 100644
--- a/src/db/db/dbEdgeProcessor.cc
+++ b/src/db/db/dbEdgeProcessor.cc
@@ -1349,13 +1349,17 @@ get_intersections_per_band_any (std::vector <CutPoints> &cutpoints, std::vector
                   //  the cutpoint will be a weak attractor - that is an optional cutpoint.
                   //  In that case we can skip the cutpoint because no related edge will move.
                   ip_weak.clear ();
+                  size_t n_off_edge = on_edge1 ? 0 : 1;
                   for (std::vector <WorkEdge>::iterator cc = c; cc != f; ++cc) {
                     if ((with_h || cc->dy () != 0) && cc != c1 && cc != c2 && is_point_on_fuzzy (*cc, cp.second)) {
                       ip_weak.push_back (&*cc);
+                      if (!is_point_on_exact (*cc, cp.second)) {
+                        ++n_off_edge;
+                      }
                     }
                   }
                   for (std::vector <WorkEdge *>::iterator icc = ip_weak.begin (); icc != ip_weak.end (); ++icc) {
-                    if (ip_weak.size () > 1 || !on_edge1) {
+                    if (n_off_edge > 1) {
                       (*icc)->make_cutpoints (cutpoints)->add (cp.second, &cutpoints, true);
 #ifdef DEBUG_EDGE_PROCESSOR
                       printf ("intersection point %s gives cutpoint in %s.\n", cp.second.to_string ().c_str (), (*icc)->to_string ().c_str ());
@@ -1435,13 +1439,23 @@ get_intersections_per_band_any (std::vector <CutPoints> &cutpoints, std::vector
                 //  the cutpoint will be a weak attractor - that is an optional cutpoint.
                 //  In that case we can skip the cutpoint because no related edge will move.
                 ip_weak.clear ();
+                size_t n_off_edge = 0;
+                if (!on_edge1) {
+                  n_off_edge += 1;
+                }
+                if (!on_edge2) {
+                  n_off_edge += 1;
+                }
                 for (std::vector <WorkEdge>::iterator cc = c; cc != f; ++cc) {
                   if ((with_h || cc->dy () != 0) && cc != c1 && cc != c2 && is_point_on_fuzzy (*cc, cp.second)) {
                     ip_weak.push_back (&*cc);
+                    if (!is_point_on_exact (*cc, cp.second)) {
+                      ++n_off_edge;
+                    }
                   }
                 }
                 for (std::vector <WorkEdge *>::iterator icc = ip_weak.begin (); icc != ip_weak.end (); ++icc) {
-                  if (ip_weak.size () > 1 || !on_edge1 || !on_edge2) {
+                  if (n_off_edge > 1) {
                     (*icc)->make_cutpoints (cutpoints)->add (cp.second, &cutpoints, true);
 #ifdef DEBUG_EDGE_PROCESSOR
                     printf ("intersection point %s gives cutpoint in %s.\n", cp.second.to_string ().c_str (), (*icc)->to_string ().c_str ()); 
diff --git a/src/db/unit_tests/dbEdgeProcessor.cc b/src/db/unit_tests/dbEdgeProcessor.cc
index 72e29671a..623defb7e 100644
--- a/src/db/unit_tests/dbEdgeProcessor.cc
+++ b/src/db/unit_tests/dbEdgeProcessor.cc
@@ -2244,3 +2244,54 @@ TEST(100)
   db::compare_layouts (_this, lr, au_fn);
 }
 
+//  #74 (GitHub)
+TEST(101)
+{
+  db::EdgeProcessor ep;
+
+  {
+    db::Point pts[] = {
+      db::Point (0, 0),
+      db::Point (0, 10),
+      db::Point (10, 10),
+      db::Point (10, 0)
+    };
+    db::Polygon p;
+    p.assign_hull (&pts[0], &pts[sizeof(pts) / sizeof(pts[0])]);
+    ep.insert (p, 0);
+  }
+
+  {
+    db::Point pts[] = {
+      db::Point (-1, -1),
+      db::Point (-1, 8),
+      db::Point (2, 11),
+      db::Point (2, -1)
+    };
+    db::Polygon p;
+    p.assign_hull (&pts[0], &pts[sizeof(pts) / sizeof(pts[0])]);
+    ep.insert (p, 1);
+  }
+
+  {
+    db::Point pts[] = {
+      db::Point (2, -1),
+      db::Point (2, 11),
+      db::Point (11, 11),
+      db::Point (11, -1)
+    };
+    db::Polygon p;
+    p.assign_hull (&pts[0], &pts[sizeof(pts) / sizeof(pts[0])]);
+    ep.insert (p, 1);
+  }
+
+  std::vector<db::Polygon> out;
+  db::PolygonContainer pc (out);
+  db::PolygonGenerator pg (pc, false, true);
+  db::BooleanOp op (db::BooleanOp::And);
+
+  ep.process (pg, op);
+
+  EXPECT_EQ (out.size (), size_t (1));
+  EXPECT_EQ (out[0].to_string (), "(0,0;0,9;1,10;10,10;10,0)");
+}