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An Algorithm of a Freeform Surfaces Measurement Adjustment Using a Specification of the Workpiece Coordinate System Location

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F17%3A10236517" target="_blank" >RIV/61989100:27230/17:10236517 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989100:27730/17:10236517

  • Result on the web

    <a href="http://dx.doi.org/10.12913/22998624/76094" target="_blank" >http://dx.doi.org/10.12913/22998624/76094</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.12913/22998624/76094" target="_blank" >10.12913/22998624/76094</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    An Algorithm of a Freeform Surfaces Measurement Adjustment Using a Specification of the Workpiece Coordinate System Location

  • Original language description

    A difficulty of freeform surfaces evaluations lies in a setup of a coordinate measuring system in general, when it is not possible to use the standard system of alignment by a point, a line, and a surface. An algorithm for the measurement adjustment using a small workpiece coordinate system movement and rotation to achieve a smaller least square error of the produced surface for a given freeform surface defined by the function of two variables is considered. The algorithm uses the Newton method for calculation of the orthogonal distance of a measured point to a given surface and also for minimization of the sum of the distance squares. Numerical results for an example are given.

  • 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

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/LO1404" target="_blank" >LO1404: Sustainable Development of Center ENET</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Advances in science and technology-research journal

  • ISSN

    2299-8624

  • e-ISSN

  • Volume of the periodical

    11

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    PL - POLAND

  • Number of pages

    10

  • Pages from-to

    223-232

  • UT code for WoS article

    000416224600027

  • EID of the result in the Scopus database