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Efficient Speed-up of Radial Basis Functions Approximation and Interpolation Formula Evaluation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43959386" target="_blank" >RIV/49777513:23520/20:43959386 - isvavai.cz</a>

  • Result on the web

    <a href="http://afrodita.zcu.cz/~skala/publications.htm" target="_blank" >http://afrodita.zcu.cz/~skala/publications.htm</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-58799-4_12" target="_blank" >10.1007/978-3-030-58799-4_12</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Efficient Speed-up of Radial Basis Functions Approximation and Interpolation Formula Evaluation

  • Original language description

    This paper presents a method for efficient Radial basis function (RBF) evaluation if compactly supported radial basis functions (CSRBF) are used. Application of CSRBF leads to sparse matrices, due to limited influence of radial basis functions in the data domain and thus non-zero weights (coefficients) are valid only for some areas in the data domain. The presented algorithm uses space subdivision which enables us to use only relevant weights for efficient RBF function evaluation. This approach is applicable for 2D and 3D case and leads to a significant speed-up. This approach is applicable in cases when the RBF function is evaluated repeatably.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/GA17-05534S" target="_blank" >GA17-05534S: Meshless methods for large scattered spatio-temporal vector data visualization</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Computational Science and Its Applications – ICCSA 2020

  • ISBN

    978-3-030-58798-7

  • ISSN

    0302-9743

  • e-ISSN

  • Number of pages

    12

  • Pages from-to

    165-176

  • Publisher name

    Springer Verlag

  • Place of publication

    Cham

  • Event location

    Cagliari, Italy

  • Event date

    Jul 1, 2020

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article