Wang tiles for materials microstructures

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F13%3APU110910" target="_blank" >RIV/00216305:26110/13:PU110910 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Wang tiles for materials microstructures

Popis výsledku v původním jazyce

The present contribution aims to summarize our recent results on geometrical modeling of random heterogeneous materials by Wang tilings. The concept of Wang tilings was originally developed to study mathematical theorem proofs by pattern recognition. Itutilizes a small set of Wang tiles, jigsaw puzzle quatrominoes, designed to tile the plane in an aperiodic, geometrically compatible, manner. Wang tiles have been later applied, for example, in physics to modeling of quasicrystals, in computer graphics for texture synthesis and DNA assembly in biology. In all cases, the appealing features of Wang tilings proceed from their ability to create large naturally looking patterns using only a limited number of tiles.

Název v anglickém jazyce

Wang tiles for materials microstructures

Popis výsledku anglicky

The present contribution aims to summarize our recent results on geometrical modeling of random heterogeneous materials by Wang tilings. The concept of Wang tilings was originally developed to study mathematical theorem proofs by pattern recognition. Itutilizes a small set of Wang tiles, jigsaw puzzle quatrominoes, designed to tile the plane in an aperiodic, geometrically compatible, manner. Wang tiles have been later applied, for example, in physics to modeling of quasicrystals, in computer graphics for texture synthesis and DNA assembly in biology. In all cases, the appealing features of Wang tilings proceed from their ability to create large naturally looking patterns using only a limited number of tiles.

Druh

O - Ostatní výsledky

CEP obor

JM - Inženýrské stavitelství

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

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