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Geometrical Image Transforms
Havelka, Jan ; Švub, Miroslav (referee) ; Španěl, Michal (advisor)
This bachelor's thesis is about introducing to basics of image processing, mostly with linear image transformations and interpolation. For the purpose of the closer understanding is properly to implement some basic geometrical image transformations and some different interpolation methods.
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Integer Optimization for Transportation Problems
Cabalka, Matouš ; Žák, Libor (referee) ; Popela, Pavel (advisor)
The thesis deals with optimization models in transportation problems with emphasis on traveling salesman problem. Brief introduction to the history is followed by theoretical part describing linear programming, integer programming and formulation of traveling salesman problem. Description of data preprocessing is included. Finally computational results are discussed and evaluated.
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Algebraic Equations Comparisons
Nečasová, Gabriela ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
The thesis deals with the topic of comparative calculation of algebraic equations. First it describes the comparison of the overall number of operations at direct and iteration met\-hods, as well as gives concrete examples of the methods and explains solutions of direct and iteration methods. Another part focuses on possible methods of converting systems of linear algebraic equations to the system of differential equations. The end of the thesis describes method of working with TKSL/C, Matlab and Maple. In this thesis, there was designed graphical user interface serving for comfortable communication with TKSL/C programme. Graphical user interface was tested on concrete tasks demonstrating the conversion of system of linear algebraic equations to the system of differential equations.
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Asymptotic stability of systems of linear ordinary differential equations in engineering
Mašek, Jakub ; Opluštil, Zdeněk (referee) ; Tomášek, Petr (advisor)
This bachelors thesis is dealing with stability of system of linear ordinary dierential equations and specially lyapunov stability and asymtotic stability.The are established necessary concepts from the theory of stability and form systems of dierential equations at rst. Furthermore there are listed basic methods for determining the stability of linear dierential equations with constant coecients and they are compared. The next part of thesis is dedicated to trajectory in plane with focus on isolated singular points. At the end are two technical applications and they are linked sections and oscillators.
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Design of linear axis
Dulava, Štěpán ; Marek, Tomáš (referee) ; Holub, Michal (advisor)
This Thesis addresses a constructional design of test linear axis. Designed axis is an instrument to evaluate heat impact on qualities of linear metering encoders LS 487 produced by Heidenhain company. In the first part, there is a list of significant features, which are considered to be important in the field of linear axis and metering devices. The part offers detailed description of linear encoders of Heidenhain company. The second part offers description of designing particular components, off which is the new linear axis constructed.
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General Codes with m Marks
Holešovský, Jan ; Hrdina, Jaroslav (referee) ; Skula, Ladislav (advisor)
This bachelor's thesis is concerned with results of error-correcting codes theory, which deals with detection and correction of errors, that arise during communication by means of these codes. The aim of this thesis is the explanation of the theory above in absolute generality, followed by detail view of some significant codes. Using linear algebra over finite fields, we will introduce an error-corecting code like a set with structure, whose characters considerably simplify the detection and correction of errors. The knowledge, that was acquired for general codes, is applied to well-known binary codes at the end of the thesis (ie. Hamming codes and Golay code). With these codes are demonstrated their properties, that sort these codes to the most important binary codes.
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Development of a linear stage actuator for UHV STM/AFM
Pavelec, Jiří ; Jiruše, Jaroslav (referee) ; Šikola, Tomáš (advisor)
The aim of this diploma thesis is to develop a linear positioning stage for Ultra High Vacuum (UHV) environment. Simple prototypes of the linear positioning stage were designed and incorporated as part of a multiaxis sample manipulator for a UHV Scanning Tunneling Microscopy / Atomic Force Microscopy (STM/AFM). Different types of position encoders and linear guideways are discussed. Implementation of the homodyne interferometer as an optimization tool for a slip-stick based linear stage is described. Scalar diffraction theory is used to model the diffraction grating optical position encoder behavior.
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Frequency and Transient Responses Based on Differential Equations
Turoňová, Lenka ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
This bachelor thesis deals with the investigation of amplitude and phase frequency responses of linear electrical circuits. It compares classical methods of investigation using a symbolic-complex method with investigation using differential equations. For graphical representation of the responses in the case of the symbolic-complex method there was used for demonstration of examples programs MATLAB and Maple. The aim of this work was also to create graphical user interface over TKSL/C, which allows input of differential equations and plotting amplitude and phase frequency responses.
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Characterization of Modern HPLC Columns and Their Application Potential
Janečková, Lucie
(EN) The aim of the dissertation thesis is characterization of modern HPLC columns from the point of their interaction possibilities and demonstration of their application potential. The first part of the thesis is focused on alternative reversed-phase HPLC columns based on zirconium dioxide. These packings offer excellent chemical stability and additional interactions that can be helpful in the development of analytical methods. A detailed study of the chromatographic behaviour of biologically active nonapeptides as model analytes confirmed the substantial effect of mobile phase composition on retention mechanism. Consequently, HPLC separation systems with zirconia-based polystyrene column were characterized by distinct approaches that allowed recognition of the interactions participating in the separation process. Empirically based chromatographic tests evaluated the fundamental properties of the system - hydrophobicity and polarity. The complex model of linear free energy relationship described the prevailing interactions in different separation systems. Application of a set of basic compounds revealed the contribution of ion-exchange interactions participating in the separation systems with zirconia-based column. The second part of the thesis is devoted to new cyclofructan-based chiral...
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