Branching pieces of rational skins from polynomial MOS patches

Kód výsledku v 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>

Výsledek na webu

<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

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Jazyk výsledku

angličtina

Název v původním jazyce

Branching pieces of rational skins from polynomial MOS patches

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Branching pieces of rational skins from polynomial MOS patches

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/LO1506" target="_blank" >LO1506: Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost</a><br>

Návaznosti

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

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název statě ve sborníku

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

ISBN

978-84-617-8694-7

ISSN

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e-ISSN

neuvedeno

Počet stran výsledku

9

Strana od-do

1237-1245

Název nakladatele

CMMSE

Místo vydání

Costa Ballena, Rota, Cádiz (Spain)

Místo konání akce

Costa ballena (Rota), Cádiz

Datum konání akce

4. 7. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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