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Interest Rate Models
Butkovičová, Ivana ; Popela, Pavel (referee) ; Chvátalová, Zuzana (advisor)
This bachelor’s thesis focuses on a description of the interest rate models that are applied in the sphere of financial mathematics. Furthermore, it specifically describes the Vašíček model, Cox-Ingersoll-Ross model, Ho-Lee model and Hull-White model. These models are given by the stochastic differential equations. The main terms of the Stochastic Calculus are described in the theoretical part of the thesis. All the above models are also calibrated. Moreover, the spot and forward interbank interest rate—LIBOR is described in the thesis. By applying specific data, that are available in the public database of the Czech National Bank, we have simulated the Vašíček and Cox-Ingersoll-Ross models. The obtained results are interpreted.
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Fabrication and calibration of thermocouples
Balák, Martin ; Svoboda, Josef (referee) ; Foral, Štěpán (advisor)
This thesis is focused on the creation of laboratory task. The first part describes the operating principle of the thermocouple and according to which the physical laws are working. The thesis also shows the main categories of the division of thermocouple. Next chapter explains the composition of thermocouple welder, its main components and how the process of welding thermocouple wire is under way. The last chapter of the theoretical part is focused on the calibration of thermocouples. This chapter explains what the calibration is and it also shows the examples of calibration on real devices. The first part of the practical section describes the construction of the laboratory product and what materials were used for the given construction. The following part deals with the electrical interior of the thermocouple welder. Electrical diagram is described and there is also the description of how to direct and regulate the supply voltage and how it reaches the clamps of the capacitor. Its charging is observed by measuring instrument (voltmeter). The thesis works with the proper welding procedure, its potential problems, and the correct method of welding because the weld must be in sufficient quality in order to pass the calibration. This work also shows how the welds should not look and what to do in case they do not look well. The second part of the practical section deals with the comparison of welded thermocouples tested on produced product and on SR80 UWO. The three pieces of thermocouples were welded on each of them. Their following comparison is the proof of the quality of the welding preparation. The last part of the second practical part is focused on the calibration of the thermocouple prepared thanks to the product.
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3D Educational Application Using the Depth Sensors
Zubrik, Tomáš ; Beran, Vítězslav (referee) ; Veľas, Martin (advisor)
This work deals with the creation of an interactive learning system that uses depth sensor and projector to render an interactive topographic map on the top of the sand surface. Our solution is based on the existing application AR Sandbox. Aditionally to the visualization elevation, the application allows the user to model the terrain model interactivelly, while guiding him by color distinguishment to create model correctly. We have developed an extension that allows the user to choose any part of the Earth's surface to create its model. The solution utilizes the full potential of the original application and offers the user an engaging experience in modeling the landforms or river basins. The result of this work is an operational system, which is helpful for gaining the knowledge in the field of topography and hydrology. User testing was evaluated using a UEQ questionnaire and has proven the usability, while achieving average score of 1.2, which is rated above-average on the UEQ scale.
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Interaction Device for Augmented Reality
Pavlenko, Peter ; Kapinus, Michal (referee) ; Beran, Vítězslav (advisor)
This master thesis explores interactive augmented reality. The aim is to design, create andtest device, which allows interaction between user and augmented reality. First analyzesaugmented reality, devices for its displaying and necessary calibration methods. Then, onthe basis of acquired knowledge, shows design and construction of few prototypes of devicelike this. Finally it shows experiments to test correctness of the concept.
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Structured-light 3D scanner
Hadzima, Jaroslav ; Chromý, Adam (referee) ; Jelínek, Aleš (advisor)
3D scanner is a device capable of creating a model using analysis, most commonly from image data. 3D scanners could be divided into two major groups, contact and noncontact scanners. Aim of this study is to interpret problematics of 3D scanning with structured light. Specifically usage of Gray code patterns. There is step by step evaluation of individual hardware and software obstacles and possible errors, from calibration to final point cloud. In next section, there are included tests determining quality, precision and accuracy of scanning with given method. System is applicable to mobile robots and yet fully remotely controlled. The majority of enumerations is taking place in Raspberry Pi 3 model B, just visualization alone is done from computer.
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Augmented Reality for Desk Games
Bačovčin, Juraj ; Kapinus, Michal (referee) ; Beran, Vítězslav (advisor)
This bachelor thesis deals with the realization of a chosen board game for an interactive table. The goal is to design, implement and test a new user-friendly user interface of the game application without losing any key aspects defining board gaming. The resulting program is executable on the ARTable3 workspace capable of projecting any image onto the touch table and capturing real-time events from its surface. It has undergone proper functional and usability testing, making it possible to consider it fully functional and ready for any expansions proposed in the final sections of this document.
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Strain Gauge Suspensions of Formula Student
Stariak, Gabriel ; Fojtášek, Jan (referee) ; Porteš, Petr (advisor)
The diploma thesis deals with examinations of forces which are acting from road surface on tyres. The aim is to design and build measuring circuit which measure forces in front suspension. The thesis deals with designing of mathematical model in addition describes problematic of strain gauge sensors, their calibration and verification measure in details. The results are data obtained from static and dynamic measurement and outputs from multi-body system softwares. The results are evaluated and compared at conclusion.
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Design and verification of station for calibration of AE sensors for bearing testing
Bančák, Matej ; Mazůrek, Ivan (referee) ; Mazal, Pavel (advisor)
The diploma thesis deals with calibration of AE sensors used in diagnostics of bearings. Two different conceptual solutions similar to those used in the diagnostics of bearings were designed in the design. Subsequently, the experimental device was designed for relative calibration using the rotation of bearings as a continuous AE source. The experimental part is oriented to the observation of the RMS parameter, which serves as a sensor sensitivity evaluation parameter. As sources of AE, bearings with a certain type of damage were used, which allowed for the formation of sensitivity characteristics according to the type of damage. Sensitivity characteristics of selected AE sensors have been developed to determine the effectiveness in relative calibration. The exponential sensitivity sensitivity of the MDK-13 sensors was observed on the software amplification of the AE analyzer. A proposal for the calibration method for MDK-13 type sensors was developed on the principle of comparison with the reference sensor.
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Wireless measurement module for vector calibration
Vaca, Pavol ; Klusáček, Stanislav (referee) ; Havránek, Zdeněk (advisor)
Thesis discuss calibration methods for 3D acceleration sensors and implementation of the design of wireless measurement module for vector calibration. In this thesis are described principles of ellipsoid fitting problem and uses of this principles for calibration of accelerometer. Thesis contains short overview of principles used in MEMS accelerometers. Described calibration methods were implemented in Android application. Furthermore, the thesis describes Bluetooth Low Energy wireless technology. This communication technology is used for transferring data from measurement module to smart device. The result of this thesis is Android application for wireless vector calibration of MEMS accelerometer and presentation of practical results of this calibration.
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Accuracy Check of Levelling Systems
Szabó, Tibor ; Bárta, Ladislav (referee) ; Bureš, Jiří (advisor)
The bachelor thesis was concerned with checking the accuracy of the robotic total station with automatic targeting on the metrological calibration base FAST. The first part of the thesis deals with the explanation of basic concepts of height measurement, describes geodetic methods of height measurement and current solution of the problem. The main part of the work is devoted to the control of the used apparatus and the equipment, describes the calibration bases, methods of measurement and processing of the measured data. The resulting accuracy and differences were compiled into tables and graphs.
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