Exponential parameterization and ε -uniformly sampled reduced data

R. Kozera, Lyle Noakes

    Research output: Chapter in Book/Conference paperConference paper

    Abstract

    © 2015 AIP Publishing LLC. We study the quality of piecewise-Lagrange interpolation for non-parametric data based on ε-uniform samplings 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
    Title of host publicationAIP Conference Proceedings: Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014
    Place of PublicationGreece
    PublisherInternational Conference of Numerical Analysis and Applied Mathematics
    Pages660016-1 - 660016-4
    Volume1648
    ISBN (Print)9780735412873
    DOIs
    Publication statusPublished - 2015
    EventInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece
    Duration: 22 Sep 201428 Sep 2014

    Conference

    ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
    CountryGreece
    CityRhodes
    Period22/09/1428/09/14

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