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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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Problems of the Expert Analysis of the Vehicle Movement and Braking Action in General Spatial Curve at Speed Higher than 50 km/h
Panáček, Vladimír ; Šachl, Jindřich (referee) ; Drahotský, Ivo (referee) ; Vémola, Aleš (advisor)
The present apparatus for the technical analysis of road accidents has no well-integrated information, recommendations or procedures of how to solve comprehensively the analysis of road accidents involving vehicles equipped with stabilization system of driving dynamics. The problem in the investigation of a vehicle movement in a curve is the ignorance of the contributions of vehicle dynamics intervention of the electronic stability system. Although some of the simulation software used in the analysis of road accidents makes it possible to take into account the modelled vehicle movement impacted by a stabilization system in the examined process, but the experts do not know what parameters should be entered in the numerical models of stabilization system in a computer programme. Therefore, the thesis investigates the issue of the expert analysis of vehicle riding and braking in a general spatial curve at speeds exceeding 50 kph with simultaneous examining the impact of electronic stability system chassis on vehicle driving dynamics. The thesis first deals with the solutions based on classical analytical methods, then dwells on experimental measurements in real conditions on testing grounds and, finally, addresses the use of computer simulation software in expert practice. Nevertheless, it is important to realize that no computer simulation software can be an absolutely unambiguous solver, and it is not enough to generate a computer simulation, but so obtained results should be evaluated and justified technically. Road accident analyst needs to know the impact of vehicle electronic stability control systems on vehicle movement. The thesis investigated the mutual relationship between the vehicle speed limit in a curve specified by analytical calculation and the vehicle speed in a curve experimentally detected by measuring the parameters of driving dynamics of a vehicle equipped with electronic stability system. The impact of selected electronic stability control systems of the chassis on the vehicle movement in the investigated processes in the curve was detected and quantified by driving experiments. Finally, the input values of significant quantities of computational models of the ESP simulation programs were found consistent with the results of experimental measurements in defined curves for the vehicles equipped with electronic stability systems. The results of the thesis can be used both in the expert and in the teaching activities.
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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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Sport Centre Královo Pole
Kouřilová, Monika ; Teplý, Vladimír (referee) ; Odvárka, Antonín (advisor) ; Pěnčík, Jan (advisor)
Design of building is one solitaire two-floors object. The main purpose of design was effort to conect all required functions. The shape of the building is derived from the shape of the rink. The total mass consists of two rounded raising shapes which are indented. The first shape represents the inner side of the rink which starts with an access ramp and ends with the final terrace at a café. The second shape copies the first one with the fact that it is increased for one floor from the very beginning of rising. The building is situated in the northwest side, which is the most visible side from the access communication. The entire building is covered in perforated sheet coat. Moreover, the coat graphically illustrates stylized crystals of water - ice. This page therefore demonstrates the secret of the shape, height and colour of the object.
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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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Selected ČSN Road Design Elements Optimization
Stránský, Jakub ; Čepil, Jiří (referee) ; Kosňovský, Michal (advisor)
The master‘s thesis focuses on the optimization of the design values of curves of the horizontal alignments of the roads. It deals with the comparison of values between czech and foreign standards and differences between them. The practical part examines the values of the real speeds of vehicles passing through the curves of various parameters that were measured during measurements of selected curves during 2014. From these data a new design values are derived that could be used for the design of horizontal alignments.
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