diff --git a/Frechet_distance/include/CGAL/Frechet_distance/internal/id.h b/Frechet_distance/include/CGAL/Frechet_distance/internal/id.h
index 2a90cbedfa5..0ad86a90679 100644
--- a/Frechet_distance/include/CGAL/Frechet_distance/internal/id.h
+++ b/Frechet_distance/include/CGAL/Frechet_distance/internal/id.h
@@ -29,14 +29,11 @@ namespace internal {
 template <typename T>
 struct ID {
 public:
-    using IDType = uint32_t;
+    using IDType = std::size_t;
     static constexpr IDType invalid_value = (std::numeric_limits<IDType>::max)();
 
     ID(IDType id = invalid_value) : id(id) {}
 
-    ID(int sid) : id(static_cast<IDType>(sid)) { assert(sid < static_cast<int>(invalid_value)); }
-    ID(std::size_t sid) : id(static_cast<IDType>(sid)) { assert(sid < static_cast<std::size_t>(invalid_value)); }
-
     operator IDType() const { return id; }
     IDType operator+(ID<T> other) const { return id + other.id; }
     IDType operator+(int offset) const { return id + offset; }