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Influence of data points density on geometrical accuracy of interpolation surface

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F21%3A00353541" target="_blank" >RIV/68407700:21220/21:00353541 - isvavai.cz</a>

  • Result on the web

    <a href="https://stumejournals.com/journals/mm/2021/3/86" target="_blank" >https://stumejournals.com/journals/mm/2021/3/86</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Influence of data points density on geometrical accuracy of interpolation surface

  • Original language description

    Interpolation is one of widely used methods reconstructing the shape of a freeform surface from data points obtained by measurement. The geometrical accuracy of the resulting reconstructed surface is expressed as a range of normal deviations of the surface from the original shape and depends mainly on the density of the input data points. In the paper, a method to determine the geometrical accuracy of the interpolation surface fitted through a set of definition points arranged in a structured quadrilateral mesh with a given density is described. Practical application of this method is demonstrated on the processing of experimental data mathematically generated from a known CAD model of suitably chosen freeform surface.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>ost</sub> - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

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

    International scientific journal Mathematical modeling

  • ISSN

    2535-0986

  • e-ISSN

  • Volume of the periodical

    5

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    BG - BULGARIA

  • Number of pages

    4

  • Pages from-to

    86-89

  • UT code for WoS article

  • EID of the result in the Scopus database