Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605670 | Applied and Computational Harmonic Analysis | 2006 | 19 Pages |
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.
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