Monotone Smoothing Spline Curves Using Normalized Uniform Cubic B-splines

摘要

This paper considers a problem on the non-negative derivative constraints on the cubic smoothing spline curves using normalized uniform B-splines as the basis functions. In particular, we derive a condition for monotonic constraints over interval based on the study of Fritsch and Carlon. Moreover, we present how these results are incorporated in the optimal smoothing spline problems. The performance is examined by a numerical example.