C1 interpolation with cumulative chord cubics

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    27 Citations (Scopus)

    Abstract

    Cumulative chord C¹ piecewise-cubics, for unparameterized data from regular curves in Rn, are constructed as follows. In the first step derivatives at given ordered interpolation points are estimated from ordinary (non-C¹) cumulative chord piecewise-cubics. Then Hermite interpolation is used to generate a C¹ piecewise-cubic interpolant. Theoretical estimates of orders of approximation are established, and their sharpness verified through numerical experiments. Good performance of the interpolant is also confirmed experimentally on sparse data.
    Original languageEnglish
    Pages (from-to)285-301
    JournalFundamenta Informaticae
    Volume61
    Issue number3/4
    Publication statusPublished - 2004

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