A rational cubic function with two parameters has been constructed to visualize the positive
data. The main focus of the work is the representation of the data in such a way that its view …

This paper discusses the construction of new C2 rational cubic spline interpolant with cubic
numerator and quadratic denominator. The idea has been extended to shape preserving …

In this paper, a technique, which uses cubic spline, is proposed for the interpolation of
discrete time signals and illustrated with examples. The results obtained are compared with …

This paper deals with the shape preserving C1 rational cubic interpolation. The developed
rational cubic interpolating function has only one free parameter. The approximation order of …

ABSTRACT A smooth surface interpolation scheme for positive and convex data has been
developed. This scheme has been extended from the rational quadratic spline function of …

This study considers the construction a new C 1 rational cubic spline (cubic numerator and
quadratic denominator) with three parameters. Some mathematical properties of this rational …

This paper proposes an algorithm for constructing interpolatory Hermite polynomial splines
of variable degree, which preserve the sign, the monotonicity and the convexity of the data …

A two-parameter family of piecewise C2 rational quintic functions is presented along with an
error investigation for the approximation of an arbitrary C3 function. The two parameters …

Data interpolation is an important task for scientific visualization. This research introduces
new rational cubic Ball spline scheme with three parameters. The rational cubic Ball will be …

This paper discusses the positivity preserving interpolation of C^ 2 C 2 rational quartic spline
for positive data. The rational quartic spline has three different parameters which are α _ i, β …