" Tilings" . . "2015-04-23+02:00"^^ . "Microstructure compression, Wang tile, Tilings, Synthesis"@en . "18"^^ . "18"^^ . . "2014-04-18+02:00"^^ . "0"^^ . . "2015-12-31+01:00"^^ . . . "GA13-24027S" . " Wang tile" . . "In 1961, Hao Wang introduced a tiling concept based on square dominoes (tiles) with colored edges permitting their mutual assemblies (tilings) in a geometrically compatible manner. Based on his conjectures, image analysis and spatial statistics, this project proposes a new technique that can compress or reconstruct highly disordered material microstructures or interior local field patterns. Unlike existing approaches that build on a single periodic unit cell, this approach utilizes a finite set of tiles synthetized by a stochastic tiling algorithm so as to accurately reproduce microstructural long-range spatial features yet in a computationally efficient manner."@en . . "1"^^ . . . . "Komprese re\u00E1ln\u00FDch materi\u00E1lov\u00FDch syst\u00E9m\u016F pomoc\u00ED Wangova dl\u00E1\u017Ed\u011Bn\u00ED" . "Microstructure compression" . . "0"^^ . . . . "V roce 1961 p\u0159edstavil Hao Wang koncept dl\u00E1\u017Ed\u011Bn\u00ED zalo\u017Een\u00FD na \u010Dtvercov\u00FDch domino dla\u017Edic\u00EDch barevn\u00FDmi hranami, kter\u00E9 umo\u017E\u0148uj\u00ED geometricky kompatibiln\u00ED dl\u00E1\u017Ed\u011Bn\u00ED roviny nebo jej\u00ED \u010D\u00E1sti. Navrhovan\u00FD projekt vyu\u017E\u00EDv\u00E1 jeho z\u00E1v\u011Br\u016F spole\u010Dn\u011B s obrazovou anal\u00FDzou a prostorovou statistikou ke kompresi a rekonstrukci siln\u011B heterogenn\u00EDch materi\u00E1lov\u00FDch mikrostruktur nebo intern\u00EDch lok\u00E1ln\u00EDch mechanick\u00FD pol\u00ED. Oproti existuj\u00EDc\u00EDm p\u0159\u00EDstup\u016Fm, kter\u00E9 jsou zalo\u017Eeny na konstrukci jednotkov\u00E9 periodick\u00E9 bu\u0148ky, tato metodika stav\u00ED na kone\u010Dn\u00E9 mno\u017Ein\u011B dla\u017Edic stochasticky syntetizovan\u00FDch za \u00FA\u010Delem v\u00FDpo\u010Detn\u011B nen\u00E1ro\u010Dn\u00E9 a p\u0159esn\u00E9 reprodukce mikrostrukturn\u00EDch charakteristik dlouh\u00E9ho \u0159\u00E1du." . . "2013-02-01+01:00"^^ . "Wang Tiling Compressions of Real World Material Systems"@en . . . . "http://www.isvav.cz/projectDetail.do?rowId=GA13-24027S"^^ .