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Algebra of dual quaternions in image analysis
Hrubý, Jan ; Návrat, Aleš (referee) ; Hrdina, Jaroslav (advisor)
This work has two goals. Firstly it is to acquaint the reader with the classical use of quaternions and dual quaternions in geometry. Secondly the generalization of the Fourier transform into the set of dual quaternions. At first it goes into algebraic properties and structure of quaternions and ways of their inscriptions. Later dual numbers are introduced and consecutively with their help dual quaternions. Then the work deals with description of rotations and translations using quaternions and dual quaternions, that enable their easy description. Finally the discreet dual quaternion Fourier transform is defined, and for its effective calculation the algorithm is derived, which is then brought into effect as a code in program environment MATLAB.
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Mathematical transformation in dielectric relaxation spectroscopy
Brida, Marek ; Rozsívalová, Zdenka (referee) ; Frk, Martin (advisor)
This labor treats the problem of dielectric relaxation spectroscopy in time domain, measurement of the absorption characteristics and their conversion to the frequency domain by creating a frequency depends of loss factor. Paper reports an overview of the most common mathematical transformation and approximation, which are used for this conversion and they also compare some of them. Mathematical methods used in this paper are Fourier transformation and Hamon approximation. Measured dielectric insulation is slot insulation type Isonom NKN 2039 and Isonom NMN 0967.
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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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Generation of Sound from Images
Brada, Tomáš ; Přinosil, Jiří (referee) ; Říha, Kamil (advisor)
This thesis deals with different kinds of converting image data (two-dimensional discrete signal) to sound data (one-dimensional discrete signal). Implemented algorithms are using knowledge of music theory, properties of human hearing and basic techniques of 1D and 2D signal processing as Fourier transform and modulating frequency spectrum via high-pass and low-pass filter.
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Processing of heart sounds signals
Němcová, Simona ; Matějková, Magdaléna (referee) ; Vondra, Vlastimil (advisor)
This bachelor thesis is focused on the heart sound signal. It describes the principles of hear sound formation, measurement methods and especially the analysis of the measured phonocardiography signal. In the practical part of this thesis, the algorithm for detecting the first and the second heart sounds is designed by using MATLAB software. Its principle is realized in finding maximum or center of gravity in the filtered phonocardiography signal.
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Web-Based Demo of Fourier Transform for Signal Processing Courses
Hyrš, Martin ; Plchot, Oldřich (referee) ; Černocký, Jan (advisor)
The aim of this work is to create a program demonstrating the Fourier transform. The introductory section summarizes the theory of Fourier transform and shows the procedure for its numerical approximation. The following chapter describes the existing applets. Subsequently, the concept of the demonstration and its implementation are described. The final part contains tutorial examples of using the application and summary of users' reactions.
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Music based electronic light effect
Grygar, Josef ; Staněk, Miroslav (referee) ; Šotner, Roman (advisor)
This work is focused on music baset light effect, it´s principles and possibilities of realization. Music based light effect can affect our perception of reproduced music. This work include design and realization of spectral analyzer, anti-aliasing filter and output power parts. Spectral analyzer uses Fast Fourier transform (FFT) to count resulting spectrum, which is displayed on LED bargrafs. In the theoretical part the priciples of analog to digital conversion are closer described. According to this information, selection of suitable microcontroller is discused.
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Methods of DNA tandem repeats analysis
Havlík, Kryštof ; Sedlář, Karel (referee) ; Maděránková, Denisa (advisor)
This work clarifies basics of the repetitive DNA and evaluates thee tandem repeats finders, which are accessible to public free of payment. Second part describes an algorithm used for searching tandem repeats, based on converting DNA string into numerical signal. Then follows signal processing using short-time Fourier transform, formation of spectrogram and analysis for evaluating position and content of repetitive areas. Result of this work is comparison of outcomes provided by public accessible programs with results of created program and review of advantages and disadvantages.
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Texture Synthesis
Havelka, Robert ; Štancl, Vít (referee) ; Švub, Miroslav (advisor)
This thesis deals with texturing, its importance and basic list of the processes during texture synthetising is included. Texture generating is mainly described from the procedural generator point of view. There is also explained the sense of using Fourier's transformation and its simplified version, the discreet cosine transformation. For texture modiffication, Gaussian noise and gaussian filter is used. The convolution theorem is applied for the texture mixing. Within the scope of this thesis, there is also described the application implementation, which enables experimenting with texture creating.
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