BIROn - Birkbeck Institutional Research Online

    A study of the uniform accuracy of univariate thin plate spline interpolation

    Benjancu, A. and Hubbert, Simon (2012) A study of the uniform accuracy of univariate thin plate spline interpolation. Numerical Algorithms 62 (12), pp. 1781-1789. ISSN 1017-1398.

    [img] Text
    2937.pdf - First Submitted (AKA Pre-print)
    Restricted to Repository staff only

    Download (216kB) | Request a copy

    Abstract

    The usual power function error estimates do not capture the true order of uniform accuracy for thin plate spline interpolation to smooth data functions in one variable. In this paper we propose a new type of power function and we show, through numerical experiments, that the error estimate based upon it does match the expected order. As a by-product of our investigations we also discover the precise form of the Peano kernel for univariate thin plate spline interpolation. In addition we demonstrate that a theoretical estimate of the decay rate of the L2¡norm of the Peano kernel is a crucial ingredient for establishing the improved error bound. We close the paper with a brief investigation of the 2¡dimensional case.

    Metadata

    Item Type: Article
    Keyword(s) / Subject(s): Thin plate spline, Power function, Error estimates
    School: Birkbeck Faculties and Schools > Faculty of Business and Law > Birkbeck Business School
    Depositing User: Administrator
    Date Deposited: 13 Jan 2011 14:11
    Last Modified: 02 Aug 2023 16:54
    URI: https://eprints.bbk.ac.uk/id/eprint/2937

    Statistics

    Activity Overview
    6 month trend
    1Download
    6 month trend
    423Hits

    Additional statistics are available via IRStats2.

    Archive Staff Only (login required)

    Edit/View Item Edit/View Item