Shape preserving C2 interpolatory subdivision schemes

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    Stationary interpolatory subdivision schemes which preserve shape properties such as convexity or monotonicity are constructed. The schemes are rational in the data and generate limit functions that are at least $C^2$. The emphasis is on a class of six-point convexity preserving subdivision schemes that generate $C^2$ limit functions. In addition, a class of six-point monotonicity preserving schemes that also leads to $C^2$ limit functions is introduced. As the algebra is far too complicated for an analytical proof of smoothness, validation has been performed by a simple numerical methodology.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente
    Number of pages18
    Publication statusPublished - 1998

    Publication series

    NameMemorandum Faculteit TW
    PublisherDepartment of Applied Mathematics, University of Twente
    ISSN (Print)0169-2690


    • METIS-141121
    • IR-65649
    • Convexity
    • Shape preservation
    • Rational stationary subdivision
    • positivity
    • MSC-65D15
    • EWI-3272
    • monotonicity
    • smoothness
    • MSC-65D07
    • MSC-41A15
    • MSC-41A29

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