… the use of cubic splines for interpolating monotonic data sets. Interpolating cubic splines are
… form the basis of the monotonic cubic spline interpolation algorithm presented in this paper. …

… the basis of the monotonic cubic spline interpolation algorithm presented in this … monotonic
C 2 cubic spline interpolation results are presented. Extensions to shape preserving splines …

… Spline interpolation has been used in several applications … The final interpolator is not
actually a spline as C 2 regularity … to obtain monotone cubic splines based on Hermite cubic …

… In this section an alternate technique is proposed which generates a smoother C 2 spline
that also preserves the monotone shape of the data. Here the author proposes an alternative …

… cubic function (cubic/quadratic) to maintain the monotone curve through given monotone data.
… preserving C 2 rational cubic function for monotone data. For this purpose we use rational …

… of existence of monotone and/or convex splines, having degree n and order of continuity k,
which interpolate to a set of data at the knots. The interpolating splines are obtained by using …

… Monotone Piecewise Cubic Interpolation” necessary and sufficient conditions are derived for
a cubic spline to be monotone … pleasing monotone piecewise cubic interpolant to monotone …

… the need forthis interpolation algorithm, we define a bivariate function f to be monotone on
D [a, b]x[c, d] if all univariate "slices" of f taken parallel to the coordinate axes are monotone. …

… monotonicity preserving of monotone data by using rational cubic Ball interpolant with …
cubic Ball interpolation the computation may be lower than the rational cubic spline interpolation…

… the fundamentals of interpolating cubic splines. We begin by defining a cubic spline in Section
1. … The function assumes that X 2 is monotonically increasing and lies wi thing the range of …