Stability of subdivision schemes

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    Abstract

    The stability of stationary interpolatory subdivision schemes for univariate data is investigated. If the subdivision scheme is linear, its stability follows from the convergence of the scheme, but for nonlinear subdivision schemes one needs stronger conditions and the stability analysis of nonlinear schemes is more involved. Apart from the fact that it is natural to demand that subdivision schemes are stable, it also has an advantage in a theoretical sense: is it shown that the approximation properties of stable schemes can very easily be determined.
    Original languageEnglish
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages16
    Publication statusPublished - 1998

    Publication series

    NameMemorandum
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1469
    ISSN (Print)0169-2690

    Keywords

    • MSC-65D17
    • MSC-65D05
    • MSC-41A05
    • Stability
    • Approximation order
    • Computer aided geometric design
    • Subdivision

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  • Cite this

    Kuijt, F., & van Damme, R. M. J. (1998). Stability of subdivision schemes. (Memorandum; No. 1469). Enschede: University of Twente, Department of Applied Mathematics.