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Rendering Complex 3D Scenes
Mrkvička, Tomáš ; Kršek, Přemysl (referee) ; Herout, Adam (advisor)
This thesis deals with representation of large and complex 3D scenes which are usually used by modern computer games. Main aim is design and implementation of data driven rendering system. Proper rendering is directed (driven) by scene description. This description is also designed with respect to scene creators whose typically do not have deep knowledge of programming languages in contrast to game programming developers. First part is focused on design of efficient scene description and its possible applications at scene rendering. Second part is focused on proper system implementation. Finally, consequently important system optimizations are mentioned too.
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Modeling and statistics of random tessellations with applications to the study of microstructure of polycrystallic materials
Seitl, Filip ; Beneš, Viktor (advisor) ; Redenbach, Claudia (referee) ; Mrkvička, Tomáš (referee)
Filip Seitl Modeling and statistics of random tessellations with ap- plications to the study of microstructure of polycrystallic materials We present a parametric statistical methodology for analysing a Laguerre tessel- lation data set viewed as a realization of a marked point process of generators. We study the dependence of the marks and the point process in detail. Further, we suggest two general models. The first one is based on marked Gibbs point processes and leads to a broad class of Gibbs-Laguerre tessellations. Under mild assumptions we prove the existence of the infinite-volume Gibbs measure. Then the choice of energy function for applications is discussed in detail. The sec- ond model is hierarchical, where in the first step the point pattern is modelled and in the second step the marks are modelled conditionally on points, using exponential family models based on geometrical characteristics of the tessella- tion. Statistical tools for the parameter estimation, model selection and fitting are suggested and implemented. We apply our methodology for a 3D Laguerre tessellation data set representing the microstructure of a polycrystalline metal- lic material, where simulations under a fitted model may substitute expensive laboratory experiment. 1
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Testy dobré shody v bodových procesech.
Perevorskyy, Taras ; Mrkvička, Tomáš (advisor) ; Pawlas, Zbyněk (referee)
The main objective of this thesis is to carry out a comparative analysis of the now available point process model tests. A script file has been written implementing the different point process test methods in the R program. With the help of this software, a simulation study has been conducted resulting in over 500 000 tests. A great attention has been paid to the only recently published envelopes test. Except for envelopes test other two simulation tests have been considered along with the J-test and the quadrant-count test. As test subjects 5 different process families were chosen. The obtained results have been carefully analyzed and the interesting patterns have been documented.
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Random marked sets and dimension reduction
Šedivý, Ondřej ; Beneš, Viktor (advisor) ; Janáček, Jiří (referee) ; Mrkvička, Tomáš (referee)
Random closed sets and random marked closed sets present an important general concept for the description of random objects appearing in a topological space, particularly in the Euclidean space. This thesis deals with two major tasks. At first, it is the dimension reduction problem where dependence of a random closed set on underlying spatial variables is studied. Solving this problem allows to find the most significant regressors or, possibly, to identify the redundant ones. This work achieves both theoretical results, based on extending the inverse regression techniques from classical to spatial statistics, and numerical justification of the methods via simulation studies. The second topic is estimation of characteristics of random marked closed sets which is primarily motivated by an application in the microstructural research. Random marked closed sets present a mathematical model for the description of ultrafine-grained microstructures of metals. Methods for statistical estimation of their selected characteristics are developed in the thesis. Correct quantitative characterization of microstructure of metals allows to better understand their macroscopic properties.
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On Selected Geometric Properties of Brownian Motion Paths
Honzl, Ondřej ; Rataj, Jan (advisor) ; Beneš, Viktor (referee) ; Mrkvička, Tomáš (referee)
Title: On Selected Geometric Properties of Brownian Motion Paths Author: Mgr. Ondřej Honzl E-mail Address: honzl@karlin.mff.cuni.cz Department: Department of Probability and Mathematical Statistics Supervisor: Prof. RNDr. Jan Rataj, CSc. E-mail Address: rataj@karlin.mff.cuni.cz Department: Mathematical Institute, Charles University Abstract: Our thesis is focused on certain geometric properties of Brownian motion paths. Firstly, it deals with cone points of Brownian motion in the plane and we show some connections between cone points and critical points of Brownian motion. The motivation of the study of critical points is provided by a pleasant behavior of the distance function outside of the set of these points. We prove the theorem on a non-existence of π+ cone points on fixed line. This statement leads us to the conjecture that there are only countably many critical points of the Brownian motion path in the plane. Next, the thesis discusses an asymptotic behavior of the surface area of r-neigh- bourhood of Brownian motion, which is called Wiener sausage. Using the proper- ties of a Kneser function, we prove the claim about the relation of the Minkowski content and S-content. As the consequence, we obtain a limit behavior of the surface area of the Wiener sausage almost surely in dimension d ≥ 3. Finally,...
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Testy dobré shody v bodových procesech.
Perevorskyy, Taras ; Mrkvička, Tomáš (advisor) ; Pawlas, Zbyněk (referee)
The main objective of this thesis is to carry out a comparative analysis of the now available point process model tests. A script file has been written implementing the different point process test methods in the R program. With the help of this software, a simulation study has been conducted resulting in over 500 000 tests. A great attention has been paid to the only recently published envelopes test. Except for envelopes test other two simulation tests have been considered along with the J-test and the quadrant-count test. As test subjects 5 different process families were chosen. The obtained results have been carefully analyzed and the interesting patterns have been documented.
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Critical look on internets expectations
Pobežal, Michal ; Mrkvička, Tomaš (advisor) ; Prázová, Irena (referee)
The diploma work proceeded from a hypothesis, that Internet will gradually lead to a development, similar to the one of TV or radio - thus that it will become a medium, through which a narrow group of owners of particular titles of this media will share on the profit generation and that after a certain period the entry of new subjects into this market will be limited in a same way as it is today in the world of electronic media and print. And also that the big internet web sites will enter the print and electronic media market or will influence it significantly. Powered by TCPDF (www.tcpdf.org)
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Rendering Complex 3D Scenes
Mrkvička, Tomáš ; Kršek, Přemysl (referee) ; Herout, Adam (advisor)
This thesis deals with representation of large and complex 3D scenes which are usually used by modern computer games. Main aim is design and implementation of data driven rendering system. Proper rendering is directed (driven) by scene description. This description is also designed with respect to scene creators whose typically do not have deep knowledge of programming languages in contrast to game programming developers. First part is focused on design of efficient scene description and its possible applications at scene rendering. Second part is focused on proper system implementation. Finally, consequently important system optimizations are mentioned too.
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Manažerské propočty z hlediska logiky, analytické mikroekonomie a dalších teoretických disciplin
Hašková, Simona ; Jiroušek, Radim (advisor) ; Mrkvička, Tomáš (referee) ; Peregrin, Jaroslav (referee) ; Volf, Petr (referee)
It is no secret that 'managerial' solutions are not, on average, nearly as reliable as 'technical' solutions. The focus of this work is to clarify the reasons why this is so, and to seek ways to increase the reliability of managerial solutions. The causes of this situation are both subjective (human factor failure), which can be influenced, and objective (complexity of the problem, the specifics of human behaviour, etc.) that can be only minimally influenced. Significant subjective causes at work were identified as: a. cognitive distortions at the mental level of thinking of the problem solvers; b. deficiencies in making inference and drawing conclusions; c. incorrect argumentation. There are two ways to reduce these causes: 1. cultivation of managerial thinking of the problem solvers; 2. the use of reserves in the implementation of approaches and tools of theoretical disciplines that already operate successfully elsewhere and are beneficial for managerial solutions. The first way deals with procedures for managerial solutions formulated in the language of the relevant discipline (the language of management), expressed by natural language and the chain of formulas (calculations) and visual (graphic) tools in the form of managerial decision trees, diagrams and charts with the rules of 'managerial logic'. This is generally defined as a set of approaches, tools, methods and skills needed for credible justification when solving managerial problems. Specifically it deals with: - the 'case-based reasoning' approach, which aims at finding the best point of view on a given problem and analysing all considered aspects within its context step-by-step in detail; - translating the tools and methods of modern logic (especially its intuitionistic version) from the language of logic into the language of management taking into account the factual content of expressive means of the language of management including the ability of their effective application; - respecting the principles of rational and ethical argumentation within managerial solutions. The second way circumvents managerial solution procedures by recasting the managerial task to the task of a scientific discipline (logic, game theory, etc.) and derives the correct result therein. In this context we talk about the use of knowledge of theoretical disciplines in management. Both of these ways are demonstrated in the work in a number of illustrative examples and the annexed case studies addressing the specific tasks of managerial practice.
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What do the fish say about the quality of aquatic ecosystems
Blabolil, Petr ; Říha, Milan ; Peterka, Jiří ; Prchalová, Marie ; Vašek, Mojmír ; Jůza, Tomáš ; Čech, Martin ; Draštík, Vladislav ; Kratochvíl, Michal ; Muška, Milan ; Tušer, Michal ; Frouzová, Jaroslava ; Ricard, Daniel ; Mrkvička, Tomáš ; Sajdlová, Zuzana ; Vejřík, Lukáš ; Šmejkal, Marek ; Borovec, Jakub ; Matěna, Josef ; Boukal, David S. ; Kubečka, Jan
The first Czech methodology for the assessment of ecological potential of heavily modified water bodies and artificial water bodies based on fish communities was developed. The first step of developing the methodology was preparing the typology of water bodies. The typology distinguishes between water bodies of different altitudes and with and without thermal stratification. Fish were sampled by multimesh gillnets following European standard procedures. The selection of fish metrics was based on statistical analyses in which metrics (fish community indicators) were correlated with the most common stressor – eutrophication. The analysis detected several sensitive metrics (metrics showing the best correlation with the stressor) in which ecological class boundaries were set. Afterwards, combination of sensitive metrics was used for calculation of the ecological quality ratio (EQR) for each of the reservoir sampled. The EQR expresses the deviation between a reservoir’s current ecological status and its maximum potential. The next step consisted of validating the EQR with an independent pressure index and verifying the time stability of ecological potential assessment. The metrics used in the methodology fulfill all the obligations set forth in the Water Framework Directive (2000/60/EC), which include assessment of the composition, abundance and age structure of fish fauna.
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