diff --git a/include/spline/bezier_curve.h b/include/spline/bezier_curve.h
index 7c67dc636feb103ea98b47ab7602d7d0b697f211..74e23ed148f8065815b22210fc451c47b6bb322e 100644
--- a/include/spline/bezier_curve.h
+++ b/include/spline/bezier_curve.h
@@ -304,6 +304,8 @@ struct bezier_curve : public curve_abc<Time, Numeric, Dim, Safe, Point>
      * @return
      */
     std::pair<bezier_curve_t,bezier_curve_t> split(const Numeric T){
+        if (T == T_)
+            throw std::runtime_error("can't split curve, interval range is equal to original curve");
         t_point_t wps_first(size_),wps_second(size_);
         const double t = T/T_;
         wps_first[0] = pts_.front();
@@ -325,6 +327,8 @@ struct bezier_curve : public curve_abc<Time, Numeric, Dim, Safe, Point>
     bezier_curve_t extract(const Numeric t1, const Numeric t2){
         if(t1 < 0. || t1 > T_ || t2 < 0. || t2 > T_)
             throw std::out_of_range("In Extract curve : times out of bounds");
+        if(t1 == 0. &&  t2 == T_)
+            return bezier_curve_t(waypoints().begin(), waypoints().end(), T_,mult_T_);
         if(t1 == 0.)
             return split(t2).first;
         if(t2 == T_)