Article ID Journal Published Year Pages File Type
4605670 Applied and Computational Harmonic Analysis 2006 19 Pages PDF
Abstract

A criterion of convergence for stationary nonuniform subdivision schemes is provided. For periodic subdivision schemes, this criterion is optimal and can be applied to Hermite subdivision schemes which are not necessarily interpolatory. For the Merrien family of Hermite subdivision schemes which involve two parameters, we are able to describe explicitly the values of the parameters for which the Hermite subdivision scheme is convergent.

Related Topics
Physical Sciences and Engineering Mathematics Analysis