Exponential parameterization and e -uniformly sampled reduced data

R. Kozera, Lyle Noakes

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    © 2016 NSP Natural Sciences Publishing Cor. We study the quality of piecewise-quadratic Lagrange interpolation for nonparametric data based on e -uniform sampling and different forms of exponential parameterization. Surprisingly, it turns out that there is a sharp discontinuity in the quality of interpolation: Exponential parameterization performs no better than a blind uniform guess, except for the case of scaled cumulative chord, which matches parametric interpolation.
    Original languageEnglish
    Pages (from-to)33-48
    JournalApplied Mathematics and Information Sciences
    Volume10
    Issue number1
    DOIs
    Publication statusPublished - 2016

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