diff --git a/cameo/path.c b/cameo/path.c
index be3b37e..17789a0 100644
--- a/cameo/path.c
+++ b/cameo/path.c
@@ -88,6 +88,12 @@ static int path_is_closed(const struct path *path)
 
 static void path_add_point(struct path *path, struct point *p)
 {
+	if (path->last &&
+	    path->last->x == p->x && path->last->y == p->y &&
+	    path->last->z == p->z) {
+		free(p);
+		return;
+	}
 	p->next = NULL;
 	if (path->last)
 		path->last->next = p;