This work deals with analytical representation of congruent transforma- tion in a plane at high schools. The work is a web page, it contains several interactive components which help student to understand the problem like hyperlinks, stepping of the construction, applets, etc. The work contains several solved problems. Main emphasis is placed on the connection of the synthetic and the analytic approach to congruent transformation. The work uses knowledge of analytic geometry students learn at high school. The web page is aimed at talented students of high school and for teaching at mathematical class. 1

Magistro darbo autorius: Andrius Samuolis Magistro darbo pavadinimas: Judesio kiekio momento ryšio schemos grafo transformacija Vadovas: doc. dr. A. Deveikis Darbas pristatytas: Vytauto Didžiojo Universitetas, Informatikos fakultetas, Kaunas, 2011 birželis. Puslapių skaičius: 46 Lentelių skaičius: 2 Paveikslų skaičius: 43 Priedų skaičius: 3 Sudaromas supaprastintas judesio kiekio momento grafinis metodas skirtas transformacijos matricų vaizdavimui ir supaprastinimui. Siūlomas metodas apibendrina Vilniaus teorinės fizikos mokyklos sukurto grafinio metodo praktinio taikymo patirtį ir apima tik daţniausiai taikomas jo taisykles. Transformacijos matrica supaprastinama suvedant jos pavidalą į 6j ir 9j koeficientus. Metodo taisyklės yra pakankamai paprastos ir gali būti naudojamos atitinkamų kompiuterinių įrankių kūrimui. / Author of Master Thesis: Andrius Samuolis Full title of Master Thesis: Transformation of the angular momentum coupling graph Supervisor: doc. dr. A. Deveikis Presented at: Vytautas Magnus University, Faculty of Informatics, Kaunas, June 2011. Number of pages: 46 Number of tables: 2 Number of pictures: 43 Number of appendices: 3 Establishes a simplified graphical angular momentum method, which is intended to represent and simplified transformation matrix. Suggest method summarizes graphic method practical experience and includes only the most common form of the rules, which were created by Vilnius school of Theoretical Physics. The transformation matrix is simplified when it’s shape is reduced to 6j and 9j coefficients. Principle rules are simple and can be used in the development of computer tools.

The modular product system of Scania CV AB provides the possibility of complete truck customization while using a limited number of interchangeable components. The high product modularity sets high demands on quality assurance of the delivered products. Geometry and layout assurance is a key factor of the quality control. Dynamic geometry assurance of trucks is accomplished by performing physical tests while measuring the movement of certain components. The results are then analysed in order to ensure that unwanted collisions does not occur during the operation of the vehicle. Test results are presented in test reports containing 2D plots of delta movements that occur at certain measurement points. Test reports are considered difficult to interpret and design mistakes have occurred due to misinterpretations. The purpose of the master thesis was to develop a 3D visualization method that can complement test reports and facilitate the understanding of test results. In this master thesis, several visualization methods were identified. The identified visualization methods were evaluated according to requirements derived from interviews held at Scania. One method was then chosen for further development. The thesis project focused on cabin movement visualization. However, the aim of the development was to create a general method that is applicable for all main components, e.g. chassis and engine. The result of the development was a visualization method including a MATLAB script and a CATIA macro. The MATLAB script filters raw test data for extreme positions of the cabin. These positions are then recalculated as transformation matrices and exported as an Excel sheet. The Excel sheet is further imported by the CATIA macro, which instantiates and positions user selected components into the previously found extreme position. The developed visualization method was then verified and confirmed of providing reliable results. Furthermore, benefits and drawbacks of the visualization method are discussed. The developed visualization method is then evaluated by the previous set requirements, showing that these are fulfilled. Even though more verification of the visualization method is suggested, it is concluded that the method can and should be implemented into the current workflow. / Scania CV AB’s modulära produktsystem medför möjligheten till komplett lastbilsanpassning samtidigt som endast ett begränsat antal utbytbara komponenter används. Den höga produktmodulariteten ställer höga krav på kvalitetssäkring av de levererade produkterna. Geometri och layoutsäkring är en nyckelfaktor inom säkerhetställandet av kvaliteten. Dynamisk geometrisäkran av lastbilar utförs genom att mäta rörelser av vissa komponenter under fysiska provningar. Resultaten analyseras sedan för att säkerställa att inga oönskande kollisioner inträffar under drift av fordonet. Provresultaten presenteras i provningsrapporter i form av 2D-plottar visande deltarörelser som inträffat vid specifika mätpunkter. Provningsrapporter anses vara svårtolkade och konstruktionsmisstag har inträffat på grund av feltolkningar av dessa. Syftet med examensarbetet var att utveckla en 3D-visualiseringsmetod som kan komplettera provningsrapporter och underlätta förståelsen av provresultaten. I detta examensarbete har flera visualiseringsmetoder identifierats. De identifierade visualiseringsmetoderna utvärderades sedan enligt krav härledda från intervjuer som hölls på Scania. En metod valdes därefter för vidare utveckling. Examensarbetet inriktades mot visualisering av hyttrörelser. Målet med utvecklingen var dock att skapa en generell metod för rörelser av alla huvudkomponenter, som till exempel axlar och motor. Resultatet av utvecklingen var en visualiseringsmetod som inkluderade ett MATLAB-script samt ett CATIA-makro. MATLAB-scriptet filtrerar råtestdata för extrema positioner av hytten. Dessa positioner räknas sedan om som transformationsmatriser och exporteras til ett Excel-ark. Excel-arket importeras sedan av CATIA-makrot till CATIA, som instansierar och positionerar användarvalda komponenter i de tidigare hittade extrempositionerna. Den utvecklade visualiseringsmetoden verifieras sedan och det bekräftas att tillförlitliga resultat fås fram. Dessutom diskuteras fördelarna och nackdelarna med visualiseringmetoden. Den utvecklade visualiseringsmetoden utvärderas sedan med de tidigare ställda kraven. Utvärderingen visar att dessa uppfylls. Även om ytterligare verifiering av visualiseringsmetoden föreslås, dras slutsatsen att metoden kan och bör implementeras i det aktuella arbetsflödet.

Orientador: Sérgio Kurokava / Banca: Luiz Fernando Bovolato / Banca: José Carlos da Costa Campos / Resumo: Sabe-se que uma linha de transmissão polifásica pode ser representada no domínio modal, por seus n modos de propagação que se comportam como sendo n linhas monofásicas independentes. Uma vez calculadas as correntes e tensões no domínio modal, as mesmas são convertidas para o domínio das fases por meio de uma matriz de transformação modal. A matriz de transformação modal é uma matriz cujos elementos são escritos em função dos parâmetros longitudinais e transversais da linha, variam em função da frequência e, geralmente, são obtidos por meio de métodos numéricos. Deste modo, diz-se que o modelo obtido é um modelo numérico de linha. Neste trabalho foi feita uma abordagem a respeito de um modelo analítico de linha de transmissão bifásica. O modelo proposto utiliza também a representação modal, mas a matriz de transformação será obtida analiticamente em função dos parâmetros da linha. Deste modo, foi possível obter, analiticamente, relações entre as correntes e tensões de fase da linha baseando-se unicamente nos parâmetros longitudinais e transversais da mesma / Abstract: It is know that polyphase transmission line can be represented in the modal domain its n propagation modes that behave as n independent single-phase lines. Once calculated the currents and voltages in the modal domain, they are converted into the realm of the phases by means of a modal transformation matrix. The modal transformation matrix is a matrix whose elements re written against the parameters of longitudinal and cross the and they are usually obtained by numerical methods. In this paper an approach was made on an analytical model of two-phase transmission line. The proposed model uses the modal representation, but the transmission matrix obtained analytical in terms of line parameters. The development of the analytical model will be based on the modal model. Thus, initially will be obtained analytically, a modal matrix decomposition that allows to calculate analytically the eigenvalues of the product [Z][Y] line. Once obtained the eigenvalues it possible to abtain the modes of propagation and characteristic impedance of the line modes. Then, using the solutions algebraic differential equation of a single-phase line, we abtain the equations of currents and voltages of each of modes of spread of the row. In a final step, the equations of modal currents and voltages are converted into the realm of the phases, resulting in algebraic equations that can calculate the currents and phase voltages of the line in the frequency domain / Mestre

Made available in DSpace on 2014-06-11T19:22:32Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-08-26Bitstream added on 2014-06-13T19:28:03Z : No. of bitstreams: 1 souzajunior_nv_me_ilha.pdf: 788447 bytes, checksum: 8b9466a049a4bdb01e9292faf0c87bb0 (MD5) / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / Sabe-se que uma linha de transmissão polifásica pode ser representada no domínio modal, por seus n modos de propagação que se comportam como sendo n linhas monofásicas independentes. Uma vez calculadas as correntes e tensões no domínio modal, as mesmas são convertidas para o domínio das fases por meio de uma matriz de transformação modal. A matriz de transformação modal é uma matriz cujos elementos são escritos em função dos parâmetros longitudinais e transversais da linha, variam em função da frequência e, geralmente, são obtidos por meio de métodos numéricos. Deste modo, diz-se que o modelo obtido é um modelo numérico de linha. Neste trabalho foi feita uma abordagem a respeito de um modelo analítico de linha de transmissão bifásica. O modelo proposto utiliza também a representação modal, mas a matriz de transformação será obtida analiticamente em função dos parâmetros da linha. Deste modo, foi possível obter, analiticamente, relações entre as correntes e tensões de fase da linha baseando-se unicamente nos parâmetros longitudinais e transversais da mesma / It is know that polyphase transmission line can be represented in the modal domain its n propagation modes that behave as n independent single-phase lines. Once calculated the currents and voltages in the modal domain, they are converted into the realm of the phases by means of a modal transformation matrix. The modal transformation matrix is a matrix whose elements re written against the parameters of longitudinal and cross the and they are usually obtained by numerical methods. In this paper an approach was made on an analytical model of two-phase transmission line. The proposed model uses the modal representation, but the transmission matrix obtained analytical in terms of line parameters. The development of the analytical model will be based on the modal model. Thus, initially will be obtained analytically, a modal matrix decomposition that allows to calculate analytically the eigenvalues of the product [Z][Y] line. Once obtained the eigenvalues it possible to abtain the modes of propagation and characteristic impedance of the line modes. Then, using the solutions algebraic differential equation of a single-phase line, we abtain the equations of currents and voltages of each of modes of spread of the row. In a final step, the equations of modal currents and voltages are converted into the realm of the phases, resulting in algebraic equations that can calculate the currents and phase voltages of the line in the frequency domain

Product development process (PDP) architecture holds the key to the management of New Product Development (NPD). A lot of care is exercised in managing the NPD to reduce risk and uncertainties. There exists potential scope for improvement both in initial planning as well as execution of the NPD program by studying the PDP architecture. This research work seeks to taps this potential and presents an analytical tool to aid the NPD Managers. In this research work Design Structure Matrices (DSM) are used to represent the PDP architecture. The Work Transformation Matrix (WTM) is a kind of DSM and it was introduced for the analysis of concurrent task structures. However a generalized task structure has not been studied analytically in the literature. In order to study a generalized task structure we add two new matrix types to the WTM set to represent the task network interconnections and the task interdependence. First we study the pure sequential task iteration structure for NPD and show that it has lower engineering effort (cost and time) than the concurrent task iteration structure previously discussed in literature. Next we study the generalized task iteration structure and derive the expressions for total work and cost vectors. This is a major research contribution since only simulation based methods are currently available for studying generalized task iteration structures. The optimization of sequencing interdependent tasks is a well known NP hard problem in NPD literature. For small sized task sets, exhaustive enumeration of all possible sequencing and their corresponding time or cost vectors can be computed to determine the optimal sequence. However for large sized task networks, only heuristic methods are deployed. Using the closed form expression for cost and time vectors for a pure sequential task iteration structure derived earlier in this research work, we attempt to devise a method to optimally sequence the design tasks. We develop new matrix combining both the node and link weightages of task network. Using the time vector relationship between sequential and concurrent task structures, it is shown that the optimal task sequence corresponds to the reordering of this combined matrix whose “Dominance index” (sum above the diagonal) is minimum. Finally, we use some of the standard test cases from the PDP literature to demonstrate our research findings.

This master’s thesis deals with methods for detection of myocardial ischemia in the ECG signal. There is explained the principle of spreading of electrical activity through the heart muscle and its manifestations on the ECG. There are also mentioned the causes of myocardial ischemia and various methods of its detection in the ECG signal. In great detail there is explained the process of implementation of the two selected detection methods of myocardial ischemia in MATLAB. These methods are tested on the data from The PTB Diagnostic ECG Database. Finally, there is the presentation of detection results on used data and overall assessment of created algorithms.

Diplomová práce je zaměřena na problematiku detekce a sledování polohy hlavy v obraze jako jednu s možností jak zlepšit možnosti interakce mezi počítačem a člověkem. Hlavním přínosem diplomové práce je využití inovativních hardwarových a softwarových technologií jakými jsou Microsoft Kinect, Point Cloud Library a CImg Library. Na úvod je představeno shrnutí předchozích prací na podobné téma. Následuje charakteristika a popis databáze, která byla vytvořena pro účely diplomové práce. Vyvinutý systém pro detekci a sledování polohy hlavy je založený na akvizici 3D obrazových dat a registračním algoritmu Iterative Closest Point. V závěru diplomové práce je nabídnuto hodnocení vzniklého systému a jsou navrženy možnosti jeho budoucího zlepšení.

This paper deals with study of inertial navigation, global navigation satellite system, and their fusion into the one navigation solution. The first part of the work is to calculate the trajectory from accelerometers and gyroscopes measurements. Navigation equations calculate rotation with quaternions and remove gravity sensed by accelerometers. The equation’s output is in earth centred fixed navigation frame. Then, inertial navigation errors are discussed and focused to the bias correction. Theory about INS/GNSS inte- gration compares different integration architecture. The Kalman filter is used to obtain navigation solution for attitude, velocity and position with advantages of both systems.