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Branching pieces of rational skins from polynomial MOS patches

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F17%3A43932525" target="_blank" >RIV/49777513:23520/17:43932525 - isvavai.cz</a>

  • Result on the web

    <a href="http://cmmse.usal.es/cmmse2017/sites/default/files/volumes/Proceedings_CMMSE_2017_vol_1_6.pdf" target="_blank" >http://cmmse.usal.es/cmmse2017/sites/default/files/volumes/Proceedings_CMMSE_2017_vol_1_6.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Branching pieces of rational skins from polynomial MOS patches

  • Original language description

    In this paper we will investigate one certain application of polynomial 2-surfaces possessing the polynomial area element in the Minkowski space $R^{3,1}$, where they coincide with the so called MOS surfaces (i.e., medial surface transforms with rational domain boundaries). We formulate an efficient algorithm for Hermite interpolation by MOS surfaces and apply the developed method to the construction of branching pieces which occur during the operation of rational skinning. We recall that when branched skins of systems of spheres are constructed then the envelopes of suitable two-parametric systems of spheres must be considered. MOS surfaces are presented as especially suitable candidates for modelling these shapes because they provide not only rational envelopes but also all offsets of these envelopes are rational.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/LO1506" target="_blank" >LO1506: Sustainability support of the centre NTIS - New Technologies for the Information Society</a><br>

  • Continuities

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

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the 17th International Conference on Mathematical Methods in Science and Engineering

  • ISBN

    978-84-617-8694-7

  • ISSN

  • e-ISSN

    neuvedeno

  • Number of pages

    9

  • Pages from-to

    1237-1245

  • Publisher name

    CMMSE

  • Place of publication

    Costa Ballena, Rota, Cádiz (Spain)

  • Event location

    Costa ballena (Rota), Cádiz

  • Event date

    Jul 4, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article