diff --git a/CDT/include/Triangulation.hpp b/CDT/include/Triangulation.hpp
index becda2f..72099e6 100644
--- a/CDT/include/Triangulation.hpp
+++ b/CDT/include/Triangulation.hpp
@@ -2292,6 +2292,7 @@ void Triangulation<T, TNearPointLocator>::refineTriangles(
 
         if(badTris.empty() && remainingVertexBudget > 0)
         {
+            --remainingVertexBudget;
             const VertInd iVert = static_cast<VertInd>(vertices.size());
             addNewVertex(vert, noNeighbor);
             insertVertex(iVert);