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Software support of education in cryptography area based on elliptic curves
Szturc, Jakub ; Sobotka, Jiří (referee) ; Burda, Karel (advisor)
The master‘s thesis is focusing on cryptography based on elliptical curves consists of four main parts. The first part provides an overview of the basic cryptographic and mathematical concepts. A key element of this work is the second part which are described in detail the mechanisms of counting two points on elliptic curve and counting point to themselves over the various fields. On this mechanism is based almost the entire issue. In the third section provides the best-known algorithms and protocols for key exchange, encryption and digital signature. The goal of this paper is to devise software to support teaching. This material is created as a web presentation, which described the theoretical foundations and the main characteristics of cryptosystems based on elliptical curves. The whole issue is supported by practical examples of calculations examples, there are also examples for independent work. Additionally, java applets are prepared that allow an interactive opportunity to try the basic parameters of curves, or verify the calculations.
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Spirometric measurement in LabVIEW
Hastík, Matěj ; Slávik, Vladimír (referee) ; Harabiš, Vratislav (advisor)
This bachelor thesis deals with a detailed description of functional examination of lungs. Predominant part of this thesis is focused on spirometry method and evaluation with spirometry curve. It also deals with study of Vernier LabPro, properties of spirometry probe Vernier and proposal of the structure of software in LabVIEW environment, which will serve for basic spirometry examination. The second part is devoted to the design of the program in LabVIEW, description of its features and capabilities and its actual runtime. The program is further enhanced with a feature that allows the processing, evaluation and archiving of measured spirometric curves. The program also includes a temperature compensation of breath in and breath out air.
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Interpolating and approximating spline curves
Jelínek, Daniel ; Štarha, Pavel (referee) ; Procházková, Jana (advisor)
This bachelor’s thesis deals with properties and algorithms of smooth curves calculation, specifically the calculation of B-spline curves. These curves can be applied in computer graphics. Since their calculation is defined recurrently, it is almost a necessity to use computers with programmed algorithms to obtain these curves. As for the practical part of this work, three programs for the calculation of approximating B-spline curves, interpolating B-spline curves and NURBS curves were created.
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Live typeface
Jiříček, Milan ; Špiřík, Jan (referee) ; Rajmic, Pavel (advisor)
The work describes the theoretical foundations of modern methods of creating new fonts, that is, using information technology, specifically vector programs. It also marginally shows the history of the font, Roman writing, the basic division of its compositions and describes its individual elements. The next part of the project focuses on creating digital fonts and continues with bringing it to live using algorithms and methods that can easily be processed in Matlab programming language. The method of implementation of the bringing the typeface to live is described and presentation of the generated results are then shown in few examples. Attention is also paid to the coordinates system, which is very important to solve geometric transformations, and two-dimensional vector graphics, which are widely used in the design and to render the fonts. Bézier curves and cubic Bézier curves are described in further detail along with vector graphics rasterization. One part of this text describes very important de Casteljau algorithm. The last chapter focuses on implementation in Matlab programming language, the creation of curves, that means single font characters, and the ways of how the algorithm works with transformations. Some sample images showing transformations using different input arguments are displayed in this section as well. There is evaluation of the contribution of this application and the possibilities of further expansion at the end.
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Curves in Computer Graphics
Míchal, Luboš ; Zuzaňák, Jiří (referee) ; Venera, Jiří (advisor)
This work deal with proposal and implementation demonstrational application, that will be instrumental towards demonstration curves used in computer graphic. Application is created in language C++ in environment Visual Studio 2005. By the help of those application can be individual steps of calculation watch and set control point. After it is possible watch differences among single used algorithms. Aim work is put near individual curves potential interested person about this theme.
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Interpolation with NURBS curves
Škvarenina, Ľubomír ; Rajmic, Pavel (referee) ; Zátyik, Ján (advisor)
Diploma thesis deals with image interpolation. The aim of this work is to study theoretically and then describe the nature of the various methods of image interpolation and some of them implemented in the program MATLAB. The introductory part of this work theoretically closer to important terms that are closely related to this topic of digital image processing sufficient to understand the principle. In the following of the thesis will be discussed all of today's commonly used method of image interpolation. Will hear all about the method of image interpolation using nearest neightbor interpolation and image help of polynimals such as (bi)linear, (bi)quadratic and (bi)kubic method. Then work theoretically analyzes the theory of individual species curves and splines. More specifically, coming to their most frequently used variants of B-spline curves and ther generalizations called NURBS, with addressing the problem of interpolating these curves. The final chapter consists of the results achieved in the program MATLAB.
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Renovation of the railway station in Ústí nad Orlicí
Velešíková, Karolína ; Svoboda, Lukáš (referee) ; Májek, Jan (advisor) ; Daněk, Lukáš (advisor)
The subject of the Bachelor Thesis was the reconstruction of the railway station in Ústí nad Orlicí. The content of the thesis was the Documentation for Building Permits and Documentation for Building Construction, based on the architectural study, which was created in the subject AG34-Atelier of Architectural Design in the winter semester. The building is situated on the outskirts of the town of Ústí nad Orlicí, near the village Kerhatice. Tichá Orlice flows nearby, and on the northern side of the building the terrain rises into a wooded hill. The station was built in 1874. Because of spatial reasons the building was placed between two groups of tracks. At the moment the only access to the building is by underpasses or by access roads for firemen from Nádražní street. Because of the construction of the new railway station, underpasses to platforms and their repairs, the old railway station was decommissioned, but the building was saved and declared as a cultural monument. The main idea was to design an appropriate solution for the using of the old building and preserve its original appearance from the time of construction in 1874. Restore the restaurant in a single-storey building. Create residential areas for the building manager, provide temporary accommodation for travelers, locate interesting historical information about the building and linking the building to the educational trail, possible multifunctional spaces such as workshops, offices and a small shop. Also rental spaces for hairdressers and cosmetics are also available. The assignment was also a space solution next to the object that is not being maintained. Therefore, a park layout was designed which serves passengers as a relaxation zone, for children for fun. The layout is an abstraction of the sound curve of a going train.
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