Collision Detection Library

Tato práce řeší problém detekce kolizí netriviálních polygonálních modelů v trojrozměrném prostoru. Obecně existují postupy, jak tyto kolize matematicky vyjádřit a vypočítat. Pro použití v oblasti informačních technologií jsou však takové metody často nepoužitelné z hlediska výkonu a paměťové náročnosti. Také oproti reálnému světu je třeba pracovat s diskrétním časem, což vede k nutnosti implementace algoritmů, schopných nejen kolize detekovat v daném časovém okamžiku, ale také je předvídat podle dostupných informací o pohybu objektů ve scéně. Návrh řešení vychází zejména z technik používaných v odvětví herního vývoje a fyzikálních simulací. V práci jsou tedy zahrnuty i mechanismy pro optimalizaci, reprezentaci scény a její vykreslování s využitím grafické karty.  This thesis deals with the problem of detecting collisions of nontrivial polygonal models in three-dimensional space. In general, there are methods describing how to mathematically express and calculate such collisions. However, such methods are usually unsuitable for usage in information technology due to the performance and memory requirements. It is also necessary to work with the discrete time that is not present in the real world. That brings the need to implement algorithms that are not only able to detect the collisions in a specific point in time, but also to predict them according to the available data about the movement of the objects in the scene. The solution uses game development and physics simulations techniques. Therefore, this works describes some optimization techniques as well as suitable scene representation formats and GPU rendering mechanisms.

Brittle Body Simulation

Křehká tělesa se od pevných liší možností roztříštění na menší částečky v souladu se zákony fyziky. Simulace křehkých těles tedy využívá principů obecné simulace pevných těles a vyžaduje vyřešení dalších problémů spojených s rozkladem objektů na částečky a zapojení těchto fragmentů původního objektu do simulace. Popis a zhodnocení možných řešení tohoto problému a návrh s referenční implementací takové simulace jsou cíle této práce.Brittle bodies differ from the rigid ones in the possibility of shattering into small pieces according to the laws of physics. The brittle body simulation therefore uses principles of a general rigid body simulation and requires solutions to the other problems related to object decomposition into fragments and involving these fragments of the original object in the simulation. Description and evaluation of the possible solutions to this problem and a proposal with a reference implementation of such simulation are the goals of this thesis.

Suffix Trees Capabilities

Tato práce pojednává o struktuře sufixových stromů, jejich implementaci a problematice, kterou pomocí sufixových stromů řešíme. Práce se také zaměřuje na konstrukci sufixového stromu, pomocí Ukkonenova algoritmu. Kromě samotné implementace se práce také zabývá porovnáním jiných používaných algoritmů se sufixovými stromu, z hlediska časové náročnosti. Výstupem této práce je ucelená aplikace s grafickým rozhraním, která demonstruje využití sufixových stromů při řešení různých problematik a nabízí porovnání této struktury s jinými algoritmy.This thesis discusses structure of suffix trees, their implementation and problematics, we can solved with suffix trees. The thesis also focuses on construction of suffix trees, with usage of Ukkonen's algorithm. Apart of implementation of this structure this thesis deals with comparing other commonly used algorithms with suffix trees in term of time complexity. A result of this thesis is application with graphical interface, that shows usage of suffix trees in solving various problematics and shows comparison of this structure to other algorithms.

The assembly-disassembly-organization-reassembly mechanism for 3D-2D-3D transformation of germanosilicate IWW zeolite

J.Č. thanks the Czech Science Foundation for the support of this research (P106/12/G015). R.E.M. thanks the Royal Society for provision of an industry fellowship and the E.P.S.R.C. for funding (EP/K025112/1). A.B.P. acknowledges the support of the European Community under a Marie Curie Intra‐European Fellowship.Hydrolysis of germanosilicate zeolites with the IWW structure shows two different outcomes depending on the composition of the starting materials. Ge-rich IWW (Si/Ge=3.1) is disassembled into a layered material (IPC-5P), which can be reassembled into an almost pure silica IWW on treatment with diethoxydimethylsilane. Ge-poor IWW (Si/Ge=6.4) is not completely disassembled on hydrolysis, but retains some 3D connectivity. This structure can be reassembled into IWW by incorporation of Al to fill the defects left when the Ge is removed.Publisher PDFPeer reviewe

Synthesis of ‘unfeasible’ zeolites

R.E.M. thanks the Royal Society and the E.P.S.R.C. (Grants EP/L014475/1, EP/K025112/1 and EP/K005499/1) for funding work in this area. J.Č. and P.N. acknowledge the Czech Science Foundation for the project of the Centre of Excellence (P106/12/G015) and the European Union Seventh Framework Programme (FP7/ 2007-­‐2013) under grant agreement n°604307. The research leading to these results has received funding from the European Union Seventh Framework Programme under Grant Agreement 312483 – ESTEEM2 (Integrated Infrastructure Initiative–I3). We thank Professor Wuzong Zhou and Dr. Fengjiao Yu for their expertise in TEM and Daniel Dawson for help with NMR.Zeolites are porous aluminosilicate materials that have found applications in many different technologies. However, although simulations suggest that there are millions of possible zeolite topologies, only a little over 200 zeolite frameworks of all compositions are currently known, of which about 50 are pure silica materials. This is known as the zeolite conundrum - why have only so few of all the possible structures been made? Several criteria have been formulated to explain why most zeolites are unfeasible synthesis targets. Here we demonstrate the synthesis of two such 'unfeasible' zeolites, IPC-9 and IPC-10, through the assembly-disassembly-organization-reassembly mechanism. These new high-silica zeolites have rare characteristics, such as windows that comprise odd-membered rings. Their synthesis opens up the possibility of preparing other zeolites that have not been accessible by traditional solvothermal synthetic methods. We envisage that these findings may lead to a step change in the number and types of zeolites available for future applications.PostprintPeer reviewe

Layered zeolitic materials: an approach to designing versatile functional solids

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Reconstruction of railway station Borohrádek

Diplomová práce se zabývá rekonstrukcí železniční stanice Borohrádek. Navrženo je několik variantních řešení, které navazují na projekt zdvoukolejnění v traťovém úseku Choceň - Týniště nad Orlicí. Cílem práce je odstranění propadu rychlosti v přilehlém směrovém oblouku. V železniční stanici jsou navržena dvě nová nástupiště s mimoúrovňovým přístupem. Součástí práce je prodloužení předjízdných kolejí pro nákladní vlaky.The thesis deals with the reconstruction design of railway station Borohrádek. There are several proposed variants for a solution following the double-tracking project of the railway line section Choceň - Týniště nad Orlicí. The purpose of the work is to eliminate the speed drop in the adjacent directional curve. Two new platforms with grade-separated access have been designed in the railway station. Concurrently, one of the conclusions of this thesis is the extension overtaking tracks for cargo trains.Dopravní fakulta Jana PerneraUchazeč prezentoval komisi hlavní výsledky a závěry své diplomové práce. Po prezentaci diplomové práce zodpověděl dotazy vedoucího a připomínky oponenta diplomové práce (uvedeny v posudcích práce). V diskusi o diplomové práci podrobně zodpověděl všechny dotazy členů komise.Dokončená práce s úspěšnou obhajobo

Study of extension of the railway line section Poděbrady - Chlumec nad Cidlinou into double-track line

Bakalářská práce se zabývá studií zdvoukolejnění železniční trati v úseku mezi Poděbrady a Chlumcem nad Cidlinou. V úvodní fázi práce jsou shrnuty získané poznatky o dotčeném území, železniční infrastruktuře a provozu v něm. Dále je zpracováno řešení směrového a výškového průběhu stávající trati podle dat správce infrastruktury. V návrhu je zpracováno několik variant řešení trasování dvoukolejné trati 020 a jejich napojení na stávající infrastrukturu s ohledem na zásady projektování železničních tratí. Závěr práce obsahuje zhodnocení jednotlivých navržených variant.The bachelor thesis deals with study of extension of the railway line section Poděbrady - Chlumec nad Cidlinou into double-track line. In the opening phase of the thesis is a summary of knowledge about concerning area, railway infrastructure and operation traffic in this area. Furthermore, the solution of the horizontal and vertical alignment of the existing line is processed according to the data of the infrastructure manager. There are several variants of the solution of alignment of the double track line 020 and their connection to the existing infrastructure with respect to the principles of the design of railway lines. In conclusion, the thesis contains an evaluation of individual proposed variants.Dopravní fakulta Jana PerneraUchazeč prezentoval komisi hlavní výsledky a závěry své bakalářské práce. Po prezentaci bakalářské práce zodpověděl dotazy vedoucího a oponenta bakalářské práce. V diskusi o bakalářské práci podrobně zodpověděl všechny dotazy členů komise.Dokončená práce s úspěšnou obhajobo