Interpolatory subdivision schemes with infinite masks originated from splines

A generic technique for the construction of diversity of interpolatory subdivision schemes on the base of polynomial and discrete splines is presented in the paper. The devised schemes have rational symbols and infinite masks but they are competitive (regularity, speed of convergence, computational...

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Bibliographic Details
Published in:Advances in computational mathematics 2006-11, Vol.25 (4), p.475-506
Main Author: Zheludev, Valery A.
Format: Article
Language:English
Subjects:
Computation
Convergence
Masks
Mathematical analysis
Mathematical models
Splines
Subdivisions
Symbols
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Summary:A generic technique for the construction of diversity of interpolatory subdivision schemes on the base of polynomial and discrete splines is presented in the paper. The devised schemes have rational symbols and infinite masks but they are competitive (regularity, speed of convergence, computational complexity) with the schemes that have finite masks. We prove exponential decay of basic limit functions of the schemes with rational symbols and establish conditions, which guaranty the convergence of such schemes on initial data of power growth.
ISSN:1019-7168
1572-9044
DOI:10.1007/s10444-004-4149-6