
Hausdorff dimension of the lightning
Kočendová, Alžběta ; Druckmüller, Miloslav (referee) ; Hoderová, Jana (advisor)
In this thesis, the theory related to the Hausdorff dimension is described. The Hausdorff dimension is used to describe the fragmentation of a fractal. Fractals include many natural objects and phenomena. One such phenomenon is lightning, which is the focus of this work. This work involves the development of a MATLAB program to detect lightning in an image and then calculate the Hausdorff dimension of this lightning.


Bellman's Lost in a Forest Problem and Its Analysis
Haviger, Vojtěch ; Hoderová, Jana (referee) ; Čermák, Jan (advisor)
This thesis is focused on the Bellman’s problem of searching for the shortest escape path from the planar, closed and convex set with a nonempty interior. After introduction of some notions needed to understand and solve the problem, the thesis deals with discusions of the shortest escape paths for considered shapes of the given set (circular disc, circular sector, infinite strip, rectangle, regular polygon, triangle, halfplane, circle). Finally, the obtained results are summarized, and extended by some open problems.

 
 

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.

 

Image quality analysis using Fourier transform
Tkadlecová, Markéta ; Druckmüller, Miloslav (referee) ; Hoderová, Jana (advisor)
This thesis deals with twodimensional 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.


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.

 
 