Monotone Smoothing Spline Curves Using Normalized Uniform Cubic B-splines

抄録

This paper considers a problem on the non-negative derivative constraints on the cubic smoothingspline curves using normalized uniform B-splines as the basis functions. In particular, we derive acondition 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. Theperformance is examined by a numerical example.