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Multivariate interpolation using polyharmonic splines

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00540785" target="_blank" >RIV/67985840:_____/21:00540785 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.14311/AP.2021.61.0148" target="_blank" >https://doi.org/10.14311/AP.2021.61.0148</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.14311/AP.2021.61.0148" target="_blank" >10.14311/AP.2021.61.0148</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Multivariate interpolation using polyharmonic splines

  • Original language description

    Data measuring and further processing is the fundamental activity in all branches of science and technology. Data interpolation has been an important part of computational mathematics for a long time. In the paper, we are concerned with the interpolation by polyharmonic splines in an arbitrary dimension. We show the connection of this interpolation with the interpolation by radial basis functions and the smooth interpolation by generating functions, which provide means for minimizing the L2 norm of chosen derivatives of the interpolant. This can be useful in 2D and 3D, e.g., in the construction of geographic information systems or computer aided geometric design. We prove the properties of the piecewise polyharmonic spline interpolant and present a simple 1D example to illustrate them.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA18-09628S" target="_blank" >GA18-09628S: Advanced flow-field analysis</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Acta Polytechnica

  • ISSN

    1210-2709

  • e-ISSN

    1805-2363

  • Volume of the periodical

    61

  • Issue of the periodical within the volume

    SI

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    7

  • Pages from-to

    148-154

  • UT code for WoS article

    000618346400015

  • EID of the result in the Scopus database

    2-s2.0-85101356875