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Specific Bellman's Lost in a Forest Problem analysis
Žůrek, Daniel ; Čermák, Jan (referee) ; Hoderová, Jana (advisor)
This thesis focuses on the analysis of a selected Bellman problem known as "Lost in a Forest." Initially, it defines and presents some auxiliary theorems important for finding the shortest escape path. The main part of the thesis focuses on the construction and analysis of escape paths in various types of forests. The thesis thoroughly examines the shortest escape path in an infinite strip of forest with unit width. The results of this thesis provide new insights into the optimization of escape paths and offer formal proofs confirming that Zalgaller's path is the shortest possible escape path in the given context. Additionally, the thesis addresses the solution for a rectangular forest with an obstacle, bringing new ideas to this area.
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Numerical methods of image processing from NASA's SDO space probe
Meduňa, Tomáš ; Druckmüller, Miloslav (referee) ; Hoderová, Jana (advisor)
Tato práce se zabývá zpracováním snímků Slunce pořízených kosmickou sondou SDO na různých vlnových délkách a vizualizací výskytu třikrát ionizovaného uhlíku C IV jejich vhodným složením. V práci jsou uvedeny základní informace o Slunci a jeho atmosféře, dále je shrnuta potřebná teorie a možné postupy vizualizace, které jsou následně vyhodnoceny a porovnány. Součástí je i vytvořený program pro snadnou tvorbu snímků vizualizujících uhlík C IV.
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Algorithm ICP and its usage for 3D registration
Fiala, Zdeněk ; Hoderová, Jana (referee) ; Procházková, Jana (advisor)
This thesis deals with the ICP algorithm used for point cloud registration. The thesis is divided into three main parts. The first part summarizes the basic concepts needed for the topic. The second part describes the basic ICP algorithm and its improvements. The last section contains the implementation of the algorithm in the C# programming language and the results of testing on real data.
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Testing images creation program with defined sub-pixel shift and resize precision
Málková, Eliška ; Martišek, Dalibor (referee) ; Hoderová, Jana (advisor)
Tato práce se zabývá generování testovacích sub-pixelově posunutých obrazu se známým posuvem. Ty umožní najít vhodné parametry váhové funkce, díky nimž se zpřesní hledání posuvu dvou obrazu. Dále je využito konvoluce s proměnným jádrem ke generování obrazu se změněným měřítkem. K definici konvoluce pro obraz využíváme Fourierovu transformaci. Práce zahrnuje všechnu potřebnou teorii a je přiložen program, který slouží ke generování posunutých obrazů a obrazů se změněným měřítkem.
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Extremes of Single and Multi-Variable Functions
Floderová, Hana ; Hoderová, Jana (referee) ; Štarha, Pavel (advisor)
Extremes of single and multi-variable functions are problems in which we try to solve maximum or minimum of function. Maximum and minimum of function can be local, global and by the functions of multi-variable bounded. For calculation help us derivative of function, which we put equal to zero and we get out a stationary point. The stationary point is a point, in which we suppose existence of maximum or minimum of function.
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Image quality analysis using Fourier transform
Tkadlecová, Markéta ; Druckmüller, Miloslav (referee) ; Hoderová, Jana (advisor)
This thesis deals with two-dimensional Fourier transform and its use in digital image quality assessment. An algorithm based on amplitude spectra is introduced and tested on different sets of images. Its possible use and disadvantages are described. For understanding the basics of the algorithm the fundamental mathematical theory is included. Mainly the properties of amplitude spectra are explained. Next, the theory of digital images and their characteristics, which can affect their quality, is described. For testing the quality of the image the demonstrative program has been developed.
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