> For the actual problem, *monotone spline interpolation*, there are three > different solutions known to me: > > (a) M.Steffen, "A simple method for monotonic interpolation in one > dimension", Astron. Astrophys. 239, 443-450 (1990). > > (b) H.T.Huynh, "Accurate Monotone Cubic Interpolation", SIAM J. Numer. Anal. > 30, 57-100 (1993). > > (c) Fritsch, F. N.; Carlson, R. E., "Monotone Piecewise Cubic > Interpolation", SIAM J. Numer. Anal. 17 (2), 238–246 (1980).
If you had to pick one of (a) or (b) to try first, I'd try (b). If it's satisfactory, call it a day. - Rhys
