differential geometry – Conditions for two B-Splines to represent the same curve

What will be the weakest constraint for two B-Spline curves? $ S_1 (t) $ Y $ S_2 (u) $ Represent the same curve in space?

Suppose your orders are $ k_1 $ Y $ k_2 $ respectively, the node vectors are ($ t_0, t_1, t_2, dots, t_ {m_1} $) Y$ u_0, u_1, u_2, dots, u_ {m_2} $) respectively, and the control points are $ P_0, P_1, dots, P_ {n_1} $ Y $ Q_0, Q_1, dots, Q_ {n_2} $ respectively.