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Space Filling Curves
Staňo, Marek ; Švub, Miroslav (referee) ; Šiler, Ondřej (advisor)
The objective of my work is introduce space filling curves, and try to generalize them to multidimensional spaces. Below are in the work informations about recursive and non-recursive solving of these curves, and usage curves in practice. The main objective is to create program which can draw these curves. Based on theory and practical knowledge I design program, which can compute the coordinates of the curve, and another program which uses these coordinates to draw the curve. To make this I will use programming language C and graphics library Gd.
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Cascade Sierpinski monopole
Kadlček, Jiří ; Tkadlec, Roman (referee) ; Všetula, Petr (advisor)
This master’s thesis describes the theoretical analysis of the Sierpinski triangle structure. On the basis of this structure, a planar version of the Sierpinski monopole is firstly designed. Then, by using a transfer of the planar motive to the conical surface, conical and cascade Sierpinski monopoles are designed. All simulations are calculated by CST Microwave Studio 2011. In the thesis, four types of cascade Sierpinski monopole are proposed. The investigated parameters are reflection coefficient, input impedance, radiation properties, polarization and bandwidth. The attention is primarily focused on the design and experimental verification of the selected conical shape cascade Sierpinski monopole set on the bands GSM 900, GSM 1800 and Wi-fi 2,4 GHz.
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Fractal of DNA sequence data
Nedvěd, Jiří ; Čech, Petr (referee) ; Valla, Martin (advisor)
This project is looking for fractal structury in DNA sequence data, which be maped in square ACGT. First, this project is introduced in problematics of fractals and targeted on making of Sierpinski gasket. Second, the project is introduced in DNA and DNA sequence. Next is sketched now known fractal’s structures in DNA sequence data or fractal’s structure closed DNA sequence. Then will changed metod chaos game of Sierpinski gasket to square ACGT, in where will drawen map of DNA sequences. Next, these pictures will processed by Box Counting Method and Power Spectrum Method.
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Fractal pattern patch antenna
Prouza, Jakub ; Pítra, Kamil (referee) ; Raida, Zbyněk (advisor)
This bachelor thesis deals with the application of fractal layouts in the design of microstrip antennas. Attention is turned to assessing their impact on properties of a conventional patch antenna. The first part of thesis is focused on theoretical knowledge of fractal geometry and planar antennas. In the next part of this thesis, first antenna is describer together with ways of its design. In the final section, next fractal antenna design is given. Proposed antenna is made, the results obtained are compared and benefits of the fractal design are evaluated.
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Fractals in Computer Graphics
Heiník, Jan ; Španěl, Michal (referee) ; Herout, Adam (advisor)
This Master's thesis deals with history of Fractal geometry and describes the fractal science development. In the begining there are essential Fractal science terms explained. Then description of fractal types and typical or most known examples of them are mentioned. Fractal knowledge application besides computer graphics area is discussed. Thesis informs about fractal geometry practical usage. Few present software packages or more programs which can be used for making fractal pictures are described in this work. Some of theirs capabilities are described. Thesis' practical part consists of slides, demonstrational program and poster. Electronical slides represents brief scheme usable for fractal geometry realm lectures. Program generates selected fractal types. Thesis results are projected on poster.
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Processing of fractal genomic signals
Nedvěd, Jiří ; Provazník, Ivo (referee) ; Valla, Martin (advisor)
This diploma project is showen possibilities in classification of genomic sequences with CGR and FCGR methods in pictures. From this picture is computed classificator with BCM. Next here is written about the programme and its opportunities for classification. In the end is compared many of sequences computed in different options of programme.
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The Manual
Klusová, Katarína ; Houser, Milan (referee) ; Rathouský, Luděk (advisor)
A mixture of symbols, authorities and theories that man need´s to absorb nowdays, is source for many confusing manuals, how to deal with our life, make decisions, or which political party to vote. Exactly the same time, these symbols of authority and theories are an essential part of our culture and education, and that they are looking for inspiration, information and explanations. Sometimes I dream that my source of information is nothing more than nature and its observations. In a utopian world without information provided by them I watched the world at my own pace, subsequently walking from one information to another.In the real world from different disciplines, which explore the universe in great detail, vast quantities of information flows, which the ordinary man in his level is not capable scientificly understand. For instance, when I read about Hawking's paradox, I can imagine how it's probably meant, but I don´t understand the calculations, and resources .. Well anyway, I add this information to my concept of understanding space and black holes. I perceive universe through intuition and its fragments-specific expression of the universe- I perceive through reason. The first series is a picture of my view of the universe by means of symbols - codes that people agreed use- to communicate the inexpressible. Universe is still on the eyes, and whenever I start to deal with its sub-parts, I can recognize its wholeness . Other pictures are formulation and development of selected key topics of the universe (according to my personal priorities).At this point, my work is mainly based on switching between a total and detail. What happens to the "collection" image, and affects other images detail. The last image of the series is once again the image of the wholeness . The spiral development to the second floor above the first image. Projecting the universe through me will be images transformation. Picture, even it is symbolic and symbolizing, is forming to kind of logo. Moreover, It occurs the same logo as a symbol of the universe mirroring by my being. Universe in the universe. Microcosm in the macrocosm. My individuality in the universe. Fractal.
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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.
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