Efficient algorithms for periodic Hermite spline interpolation

On Convexity Preserving C1 Hermite Spline Interpolation

The aim of this paper is to present a general approach to the problem of shape preserving interpolation. The problem of convexity preserving interpolation using C Hermite splines with one free generating function is considered.

Cardinal Hermite Spline Interpolation with Shifted Nodes

Generalized cardinal Hermite spline interpolation is considered. A special case of this problem is the classical cardinal Hermite spline interpolation with shifted nodes. By means of a corresponding symbol new representations of the cardinal Hermite fundamental splines can be given. Furthermore, a new efficient algorithm for the computation of the cardinal Hermite spline interpolant is obtained...

Two-dimensional spline interpolation algorithms

One-dimensional spline interpolation algorithms

The Budan-fourier Theorem and Hermite-birkhoff Spline Interpolation

We extend the classical Budan-Fourier theorem to Hermite-Birkhoff splines, that is splines whose knots are determined by a finite incidence matrix. This is then applied to problems of interpolation by Hermite-Birkhoff splines, where the nodes of interpolation are also determined by a finite incidence matrix. For specified knots and nodes in a finite interval, conditions are examined under which...