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The mathematical theory of juggling
Zamboj, Michal ; Slavík, Antonín (advisor) ; Halas, Zdeněk (referee)
Title: The mathematical theory of juggling Author: Bc. Michal Zamboj Department: Department of Mathematics Education Supervisor: RNDr. Antonín Slavík, Ph.D. Abstract: This diploma thesis extends the bachelor thesis of the same name. It deals with the graphic representation of juggling sequences by the cyclic diagram. Using the Burnside theorem and cyclic diagrams, we calculate the number of all genera- tors of juggling sequences. The relation between juggling and the theory of braids is described as well. The mathematical model of inside and outside throws is made from an empirical observation of trajectories of balls. Braids of juggling sequences and their attributes are provided using a real model of ladder. A sketch of the proof of the theorem that any braid is juggleable is given as well.
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Subjective tests of influence of the content of the scene on the spatial effect of 3D images and videos
Kaučiarik, Filip ; Kufa, Jan (referee) ; Boleček, Libor (advisor)
This thesis is concerning with study of video sequence parameters which influence the quality of picture during watching 3D frames and videos. It´s focused on comparing individual parameters of video sequences which are spatial and temporal information and depth map range and their influence on subjective testing and assessment of quality of experience by respondents . This thesis contains specification of testing sequence plan based on diversity of video sequence parameters and also a layout of subjective testing. An absolute parameter J was determined to achieve the maximum effect of objective parameters of sequency to 3D effect and comfort of the scene within subjective assessment.
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Visual Narrative Elements in Human-Computer Interaction
Galová, Ružena ; Brejcha, Jan (advisor) ; Fišerová, Michaela (referee)
User interface elements and the order in which they are organized and perceived by the user are creating particular narrative - visual narrative. This narrative, which is interpreted by users, should serve as a visual tool to guide users through the process of interaction. Meaning of the interface is created through visual relationships and their hierarchy. Visual narrative can guide the user through the necessary steps of interaction by using an appropriate spacing and enhancing of interfaces elements. Presentational diploma thesis demonstrates that structure of visual narrative has a particular impact on a quality of human-computer interaction. The case study represents application of constructed principles on the selected web pages of airline reservation systems.
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The mathematical theory of juggling
Búzik, Michal ; Slavík, Antonín (advisor) ; Karger, Adolf (referee)
Title: The mathematical theory of juggling Author: Michal Búzik Department: Department of Mathematics Education Supervisor: RNDr. Antonín Slavík, Ph.D. Abstract: This bachelor thesis is concerned with methods of mathematical descrip- tion of juggling. The main part deals with notation of simulation of throwing balls using integer sequences, so-called siteswaps. It indicates generating, mutual relations and ways of graphic interpretation of these sequences in diagrams. Summarized re- sults with generalization of all possible calculations of juggling sequences according to restrictive aspects are provided in this thesis. Beside usage of combinatorics and graph theory, there are also relations between juggling and braid theory, and change ringing interpreted. Keywords: juggling, sequence, siteswap
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Algorithmic Generation of Esthetical Rhytmical Sequences
Mahnert, Jakub ; Klepárník, Petr (referee) ; Beran, Vítězslav (advisor)
The goal of this project is to design and implement a system, suited for proving or disproving the claim that it is possible to generate unique rhythmical sequences, which a human will perceive as aesthetical. In the project, a framework, aiding the design of such algorithms that create rhythmical sequences using composition was implemented. On top of it, several such algorithms were implemented with the notion to test their performance using a custom testing front end solution. From the gained data, the project tries to find correlations between the aspects of the algorithms with the resulting perceived aesthetical value as well as attempt to answer the initial conundrum.
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Identifying CpG islands in genomes of eukaryotes
Urbánková, Kateřina ; Provazník, Ivo (referee) ; Maděránková, Denisa (advisor)
Bachelor thesis deals with searching CpG islands in DNA. The theoretical part describes the structure and composition of deoxyribonucleic acid, chromosomes and genes. There is basic information about human and chimpanzees genome and specification of CpG islands. Practical part consists of a program that searches for CpG islands in sequences, it displayes and saves it. This work includes analysis of genes which are common for Homo sapiens, Pan troglodytes, Mus musculus and Bos taurus.
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The Shortest Graph's Pahts Finding
Jágr, Petr ; Ohlídal, Miloš (referee) ; Jaroš, Jiří (advisor)
The aim of this thesis is finding, comparing and implementation of algorithms for finding the shortest paths between each of pairs of nodes in a graph. For this task I use modifications of existing algorithms to achive the lowest time consumption of the computation. Modifications are established on Dijkstra's and Floyd-Warshall's algorithm. We also familiarize with Bellman-Ford algorithm.
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Bioinformatics of human genome
Kupková, Karolína ; Provazník, Ivo (referee) ; Maděránková, Denisa (advisor)
Bachelor thesis deals with DNA segments containing only adenine and guanine. The theoretical part describes the structure and composition of deoxyribonucleic acid, chromosomes and genes. There are basic informations about chimpanzees and the human genome and conformations of the chains containing adenine with guanine. The practical part consists of a program that searches for the required sections in sequence, it displays and saves it. The thesis includes analysis of genes which are common for humans and chimpanzees, which were analyzed to determine randomness, functionality a preserving of these sections.
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Scene Analysis Based on the 2D Images
Hejtmánek, Martin ; Drahanský, Martin (referee) ; Orság, Filip (advisor)
This thesis deals with an object surface analysis in a simple scene represented by two-dimensional raster image. It summarizes the most common methods used within this branch of information technology and explains both their advantages and drawbacks. It introduces the design of an surface profile analysis algorithm based on the lighting analysis using knowledge and experiences from previous work. It contains a detailed description of the implemented algorithm and discusses the experimental results. It also brings up options for the possible enhancement of the projected algorithm.
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