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Stability Implies Convergence of Cascade Algorithms in Sobolev Space

✍ Scribed by Di-Rong Chen; Xiaobo Zheng

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 113 KB
Volume: 268
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7782

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✦ Synopsis

This article proves that the stability of the shifts of a refinable function vector ensures the convergence of the corresponding cascade algorithm in Sobolev space to which the refinable function vector belongs. An example of Hermite interpolants is presented to illustrate the result.  2002 Elsevier Science (USA)

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