Note on the Oslo algorithm (Q1116634)

This paper is concerned with the simplification of the well-known Oslo algorithm [cf. \textit{E. Cohen}, the author and \textit{R. Riesenfeld}, Comput. Graph. Image Process., 14, 87-111 (1980)] for updating the B- spline representation of a curve or tensor product surface when additional knots are included. A recurrence relation for discrete B- splines is established. Then a discrete version of Marsden's identity is derived. As a consequence, the dual linear functionals give the connection between discrete B-splines and knot insertion.