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Interpolatory subdivision schemes with infinite masks originated from splines

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Abstract

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.

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Authors and Affiliations

  1. School of Computer Science, Tel Aviv University, Israel

    Valery A. Zheludev

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  1. Valery A. Zheludev
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Communicated by T. Sauer

Mathematics subject classifications (2000)

65D17, 65D07, 93E11

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Zheludev, V.A. Interpolatory subdivision schemes with infinite masks originated from splines. Adv Comput Math 25, 475–506 (2006). https://doi.org/10.1007/s10444-004-4149-6

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  • DOI: https://doi.org/10.1007/s10444-004-4149-6

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