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Fractals in Computer Graphics
Šelepa, Jan ; Venera, Jiří (referee) ; Sumec, Stanislav (advisor)
The goal of this work is to give introduction and specification of fractals. The first chapter presents the basics of fractal geometry. The second chapter maps the history of fractals and points out the most important people of fractal science. The third chapter presents fractal classification based on several criteria and gives basic examples. The fourth chapter is a summary of widely used applications for fractal creation. The last chapter describes the application that was made to demonstrate given algorithms and fractals mentioned in this thesis.
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Visual Educational System of Fractals
Friedrich, Tomáš ; Škarvada, Jaroslav (referee) ; Gajda, Zbyšek (advisor)
The target of this work is to explain basics of fractals generation and theory. The introdaction to the fractal geometry is mentioned first. Certain types od fractals are explained and demostrated by examples next.For easier understanding of all mentioned types of fractals a grafical aplication was designed where it is possible to experience fractals characteristics and behaviour. The aplication is available on the internet.
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Design of Automatic Trading Systém Based on Fractal Geometry
Malý, Petr ; Dostál, Petr (referee) ; Budík, Jan (advisor)
This thesis deals with an analysis and prediction of foreign exchange markets. The thesis is based on the fractal market hypothesis and it uses tools based on fractal geometry for prediction of markets. The thesis also describes ways of using advanced methods of artificial intelligence for analyzing markets. The outcome is designed and implemented automatic trading system. The thesis also deals with testing of designed system on historical data and on the latest data as well.
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Clouds and Hills Generation Using Fractal Geometry
Tůma, Petr ; Zuzaňák, Jiří (referee) ; Venera, Jiří (advisor)
This work is concerned with generation of landscape objects using fractal geometry. In this work is explained what the fractal is and terms associated with them. The other parts describe basic theoretical ideas and implementation of these algorithms. The Capital theme is generation of models clouds and hills in values of input parameters, their presentation and date media saved there. The project includes my algorithm extension for hills generation of course. At the conclusion of this work are summarized tendencies of next development and my results.
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Procedural Generation of City Topology
Zvěřina, Lukáš ; Navrátil, Jan (referee) ; Láník, Aleš (advisor)
This bachelor's thesis is about problematique of procedural modeling. It especially tatgets procedural generation of city topology, using fractal geometry, rewriting gramatics using L-systems, OpenGL library for displaying scene and detailed description of approaches in texturing, lighting and other graphics effects.
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Fractal geometry application for orifice plate design
Hochman, Ondřej ; Fic, Miloslav (referee) ; Rudolf, Pavel (advisor)
Bachelor thesis consists of three parts. The first part is focused on research study of cav-itation and fractal geometry. It is concerned with the physical principle of cavitation, its generation, dynamics and implosion of cavitation bubbles. It also turns attention to useful application. Brief explanation of fractal geometry follows, including some famous examples. Two fractal shaped orifices were designed in the second experimental part, having the same cross-section as orifice with ordinary circle hole. These orifices were compared to each other from perspective of hydraulic losses.
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Využití fraktální geometrie pro generování hudby
Skřičilová, Magdaléna
This thesis deals with algorithmic composition methods that use the principles of fractal geometry. The thesis describes the necessary theoretical foundations concerning both fractal geometry and music theory together with the principles of algorithmic composition, and then describes the process of music generation using each of the four types of fractals. Part of the process is also selecting a suitable environment for implementation. At the end, all methods are compared and evaluated.
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Fractal Analysis of Track Geometry
Nejezchlebová, Jitka ; Holcner, Petr (referee) ; Svoboda, Richard (advisor)
The master’s thesis deals with the fractal analysis of track geometry. The theoretical part is primarily focused on introducing the basics of fractal geometry. There is also concisely described the current methodology for evaluating track geometry. In the practical part is verified the accuracy of the methods for determining the fractal dimension of the curve. For different curves with the same standard deviation is calculated the fractal dimension to demonstrate the possible advantages of using this analysis. Further is researched the use of the fractal dimension for the analysis of track geometry data. All mathematical procedures are done using the MATLAB system.
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