diff --git a/CHANGELOG.md b/CHANGELOG.md
index e7846f13..362c2c97 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,3 +1,7 @@
+## 1.9.11
+
+* Fix a line simplification crash when a segment degenerates to a single point
+
 ## 1.9.10
 
 * Warn if temporary disk space starts to run low
diff --git a/geometry.cc b/geometry.cc
index 008bf6b1..27913be5 100644
--- a/geometry.cc
+++ b/geometry.cc
@@ -831,7 +831,9 @@ drawvec simplify_lines(drawvec &geom, int z, int detail) {
 			geom[i].necessary = 1;
 			geom[j - 1].necessary = 1;
 
-			douglas_peucker(geom, i, j - i, res);
+			if (j - i > 1) {
+				douglas_peucker(geom, i, j - i, res);
+			}
 			i = j - 1;
 		}
 	}
diff --git a/version.h b/version.h
index a012608e..0db3fcd1 100644
--- a/version.h
+++ b/version.h
@@ -1 +1 @@
-#define VERSION "tippecanoe v1.9.10\n"
+#define VERSION "tippecanoe v1.9.11\n"