Thèses sur le sujet « Holonomy map for curve »

Due to the fast development in 3D technology during recent decades, many approaches in 3D representation technologies have been proposed worldwide. In order to get an accurate information to render a 3D representation, more data need to be recorded compared to normal video sequence. In this case, how to find an efficient way to transmit the 3D representation data becomes an important part in the whole 3D representation technology. Recent years, many coding schemes based on the principle of encoding the depth have been proposed. Compared to the traditional multiview coding schemes, those new proposed schemes can achieve higher compression efficiency. Due to the development of depth capturing technology, the accuracy and quality of the reconstructed depth image also get improved. In this thesis we propose an efficient depth data compression scheme for 3D images. Our proposed depth data compression scheme is platelet based coding using Lagrangian optimization, quadtree decomposition and quadratic curve fitting. We study and improve the original platelet based coding scheme and achieve a compression improvement of 1-2 dB compared to the original platelet based scheme. The experimental results illustrate the improvement provided by our scheme. The quality of the reconstructed results of our proposed curve fitting based platelet coding scheme are better than that of the original scheme.

Quantum holonomies are investigated in different contexts.

A geometric phase is proposed for decomposition dependent evolution, where each component of a given decomposition of a mixed state evolves independently. It is shown that this geometric phase only depends on the path traversed in the space of decompositions.

A holonomy is associated to general paths of subspaces of a Hilbert space, both discrete and continuous. This opens up the possibility of constructing quantum holonomic gates in the open path setting. In the discrete case it is shown that it is possible to associate two distinct holonomies to a given path. Interferometric setups for measuring both holonomies are

provided. It is further shown that there are cases when the holonomy is only partially defined. This has no counterpart in the Abelian setting.

An operational interpretation of amplitudes of density operators is provided. This allows for a direct interferometric realization of Uhlmann's parallelity condition, and the possibility of measuring the Uhlmann holonomy for sequences of density operators.

Off-diagonal geometric phases are generalized to the non-Abelian case. These off-diagonal holonomies are undefined for cyclic evolution, but must contain members of non-zero rank if all standard holonomies are undefined. Experimental setups for measuring the off-diagonal holonomies are proposed.

The concept of nodal free geometric phases is introduced. These are constructed from gauge invariant quantities, but do not share the nodal point structure of geometric phases and off-diagonal geometric phases. An interferometric setup for measuring nodal free geometric phases is provided, and it is shown that these phases could be useful in geometric quantum computation.

A holonomy associated to a sequence of quantum maps is introduced. It is shown that this holonomy is related to the Uhlmann holonomy. Explicit examples are provided to illustrate the general idea.

This thesis is mainly concerned with the study of hypersymplectic structures in gauge theory. These structures arise via applications of the hypersymplectic quotient construction to the action of the gauge group on certain spaces of connections and Higgs fields. Motivated by Kobayashi-Hitchin correspondences in the case of hyperkähler moduli spaces, we first study the relationship between hypersymplectic, complex and paracomplex quotients in the spirit of Kirwan's work relating Kähler quotients to GIT quotients. We then study dimensional reductions of the ASD equations on $mathbb R^{2,2}$. We discuss a version of twistor theory for hypersymplectic manifolds, which we use to put the ASD equations into Lax form. Next, we study Schmid's equations from the viewpoint of hypersymplectic quotients and examine the local product structure of the moduli space. Then we turn towards the integrability aspects of this system. We deduce various properties of the spectral curve associated to a solution and provide explicit solutions with cyclic symmetry. Hitchin's harmonic map equations are the split signature analogue of the self-duality equations on a Riemann surface, in which case it is known that there is a smooth hyperkähler moduli space. In the case at hand, we cannot expect to obtain a globally well-behaved moduli space. However, we are able to construct a smooth open set of solutions with small Higgs field, on which we then analyse the hypersymplectic geometry. In particular, we exhibit the local product structures and the family of complex structures. This is done by interpreting the equations as describing certain geodesics on the moduli space of unitary connections. Using this picture we relate the degeneracy locus to geodesics with conjugate endpoints. Finally, we present a split signature version of the ADHM construction for so-called split signature instantons on $S^2 imes S^2$, which can be given an interpretation as a hypersymplectic quotient.

It was recently discovered by Joux [30] and Sakai, Ohgishi and Kasahara [47] that bilinear maps could be used to construct cryptographic schemes. Since then, bilinear maps have been used in applications as varied as identity-based encryption, short signatures and one-round tripartite key agreement. This thesis explains the notion of bilinear maps and surveys the applications of bilinear maps in the three main fields of cryptography: encryption, signature and key agreement. We also show how these maps can be constructed using the Weil and Tate pairings in elliptic curves.

A nuclear waste stream is the complete flow of waste material from origin to treatment facility to final disposal. The objective of this study was to design and develop a Geographic Information Systems (GIS) module using Google Application Programming Interface (API) for better visualization of nuclear waste streams that will identify and display various nuclear waste stream parameters. A proper display of parameters would enable managers at Department of Energy waste sites to visualize information for proper planning of waste transport. The study also developed an algorithm using quadratic Bézier curve to make the map more understandable and usable. Microsoft Visual Studio 2012 and Microsoft SQL Server 2012 were used for the implementation of the project. The study has shown that the combination of several technologies can successfully provide dynamic mapping functionality. Future work should explore various Google Maps API functionalities to further enhance the visualization of nuclear waste streams.

On s'intéresse à l'étude des germes de tissus holomorphes singuliers sur une surface complexe dans deux cas différents. Dans la première partie de cette thèse, on étudie la classification analytique des germes de 2-tissus définis par deux germes de feuilletages holomorphes singuliers. Plus précisément, nous allons montrer qu'une paire de germes de feuilletages réduits non dégénérés ayant des séparatrices communes et des indices de Camacho-Sad différents est entièrement déterminée par un ensemble complet d'invariants composé de la paire des représentations d'holonomie, du couple des indices de Camacho-Sad et des séparatrices communes. Dans la deuxième partie de cette thèse, en étudiant la géométrie de la surface réglée elliptique stable, nous allons voir qu'une telle surface admet une unique structure de feuilletage de Riccati. De plus, grâce à la configuration de ses sections minimales, nous montrons l'existence d'une structure naturelle de 4-tissu singulier qu'on peut voir comme la donnée de quatre feuilletages linéaires sur un tore complexe. La géométrie de ce 4-tissu est donc équivalente à celle d'un germe de 4-tissu holomorphe singulier qui est parallélisable
We are interested in the study of germs of singular holomorphic webs on a complex surface in two different cases. In the first part of this thesis, we study the analytic classification of germs of 2-webs defined by two germs of singular holomorphic foliations. More precisely, we will show that a pair of reduced, non degenerate foliations with common separatrices and different Camacho-Sad indices is entirely determined by a complete set of invariants composed of: the pair of holonomy representations, the couple of Camacho-Sad indices and the common separatrices. In the second part of this thesis, by studying the geometry of the stable elliptic ruled surface, we will see that this type of surface is endowed with a unique structure of Riccati foliation. Moreover, thanks to the configuration of its minimal sections, we show that there exists a natural structure of singular 4-web that we can see as four families of linear foliations on a complex torus. The geometry of this 4-web is then equivalent to that of a germ of singular holomorphic 4-web which is parallelisable

The purpose of this study is to develop probabilistic hazard maps for EskiSehir including &lsquo
Peak Ground Acceleration&rsquo
values for 10% probability of exceedance in 50-year and 100-year periods at different site classes. A seismotectonic map has been prepared in the Geographical Information Systems environment by compiling instrumental seismicity and neotectonic data for the study area. The seismic sources have been defined spatially in six areal zones, characterized by a commonly used recurrence law and a maximum magnitude value. Four attenuation relationships have been selected being one of them totaly developed from the strong-motion records of Turkey. After the implementation of a seismic hazard model by using SEISRISK software, the probabilistic seismic hazard curves and maps were developed based on the selected attenuation relationships, at &lsquo
rock&rsquo
and &lsquo
soil&rsquo
sites, with a probability of exceedance of 10% in 50-year and 100-year periods. At rock sites the highest levels of hazard were calculated based on the predictive relationship of Abrahamson and Silva (1996), whereas the lowest ones based on the one of Boore et al. (1996). On the other hand the highest hazard levels were determined at soil sites based on the attenuation relationship of Ambraseys et al. (1996), whereas the lowest ones based on the one of Boore et al. (1997). For EskiSehir, the peak ground acceleration values calculated based on attenuation relationship by Boore et al. (1997) were found to be applicable for 10% probability of exceedance in 50 and 100 years, taking into consideration the fact that a considerable portion of the city is founded over alluviums.

With ever-growing environmental concerns, petrochemical and fine chemical industries face an omnipresent issue in recovering acetic acid from its aqueous solutions. The recovery of acetic acid through the esterification process is a very viable option. However, esterification reactions are typically restricted by equilibrium limitations, and face challenges with product purification. Reactive distillation is an emerging technology that has an extremely attractive potential as a process alternative for carrying out equilibrium limited chemical reactions. Although the reactive distillation process has been successfully commercialised for the manufacture of hIgh commodity chemicals e.g. methyl tertiary butyl ether (MTBE) and methyl acetate, its potential as a separation tool for the recovery of acetic acid using iso-amyl alcohol has not been exploited.

In questa tesi si utilizza il formalismo dei fibrati principali per descrivere le propriet`a topologiche globali di sistemi fisici classici e quantistici che presentano simmetrie legate all’azione del gruppo U(1). Nel primo capitolo `e contenuta una esposizione della teoria matematica dei fibrati, con un particolare riguardo ai fibrati principali ed alle strutture differenziali definibili su di essi (forme differenziali di connessione e curvatura). Nel secondo capitolo si impiega il formalismo precedentemente sviluppato per trattare le propriet`a del monopolo magnetico di Dirac e si ottiene una quantizzazione della carica magnetica sulla base di considerazioni di natura topologica. Inoltre, si mostra l’impiego dei fibrati principali U(1) nella costruzione di una descrizione Lagrangiana globale per sistemi quali una particella carica nel campo del monopolo e una particella classica con spin in campo magnetico. Nel terzo capitolo, si descrive teoricamente la comparsa di una fase geometrica (fase di Berry) in sistemi quantistici che evolvono adiabaticamente nel tempo, e si fornisce un’interpretazione geometrica di tale fase come olonomia in un fibrato principale U(1). Il moto di una particella quantistica con spin in campo magnetico quasi-statico e l’effetto Aharonov-Bohm vengono presentati come esempi tipici di manifestazione di una fase geometrica.

Petrochemical and fine chemical industries face a daunting problem in recovering acetic acid from its aqueous solutions. The recovery of acetic acid could be done through esterification reaction. However, esterification is an equilibrium limited reaction. Multi-functional reactors such as chromatographic reactor (CR) and reactive distillation column (RDC) are promising technologies mainly for equilibrium limited reactions wherein reaction and separation of products are carried out in a single equipment that tends to shift the equilibrium towards the desired direction which is not possible in a classical batch reactor. Physical and chemical characterisation of ion exchange resin catalysts such as scanning electron microscopy, Brunauer-Emmett-Teller (BET) surface area measurement, pore size distribution, elemental analysis, true density and particle size distribution were carried out to access the catalysts performance for n-hexyl acetate synthesis. Esterification of acetic acid with n-hexanol was studied with both dilute and concentrated acid in the presence of cation exchange resins (macroporous and gelular) in a jacketed stirred batch reactor to synthesise a value added ester, namely n-hexyl acetate and also to study the recovery of acetic acid from the waste aqueous streams. The effect of various parameters such as speed of agitation, catalyst particle size, feed mole ratio of n-hexanol to acetic acid, reaction temperature, catalyst loading and reusability of catalysts was studied for the optimisation of the reaction condition in a batch reactor. The non-ideality of each component in the reacting mixture was accounted for by using the activity coefficient via the use of the UNIFAC group contribution method. The kinetic data were correlated with both pseudo-homogeneous (PH) and adsorption based heterogeneous reaction rate models, e.g., Eley-Rideal (ER), Langmuir-Hinshelwood-Hougen-Watson (LHHW), and the modified LHHW (ML). Pseudo-homogeneous (PH) model gave the best representation of the kinetic data found experimentally. The feasibility of reactive distillation for the recovery of acetic acid using n-hexanol was evaluated through residue curve map (RCM) determination experiments. RCM provides information to a design engineer of the existence of separation boundaries imposed by the singular points corresponding to the reactive/non-reactive azeotropes, thus provides an insight into the feasibility of reactive distillation for this purpose. A laboratory scale batch chromatographic reactor was designed and constructed. Batch chromatographic reactor experiments were carried out using different parameters such as feed flow rate, feed mole ratio of n-hexanol to acetic acid, desorbent (n-hexanol) flow rate and reaction step to maximise the formation of n-hexyl acetate as well to achieve complete conversion of acetic acid. Continuous chromatographic reactor was designed, constructed and commissioned on the basis of the results obtained from the batch chromatographic reactor experiments. The experiments carried out in continuous chromatographic reactor correlated very well with the results from the batch chromatographic reactor for the optimised condition.

Cette thèse est consacrée à l’étude des courbes sextiques nodales, et en particulier des sextiques rationnelles, dans le plan projectif réel. Deux sextiques nodales réelles ayant k points doubles sont dites rigidement isotopes si elles peuvent être reliées par un chemin dans l’espace des sextiques nodales réelles ayant k points doubles. Le résultat principal de la première partie de la thèse donne une classification à isotopie rigide près des sextiques nodales irréductibles sans points doubles réels, généralisant la classification des sextiques non-singulières obtenue par Nikulin. La seconde partie porte sur les sextiques ayant des points doubles réels : une classification est obtenue pour les sextiques nodales séparantes, c’est-à-dire celles dont la partie réelle sépare leur complexification (l’ensemble des points complexes) en deux composantes connexes. Ce résultat est appliqué au cas des sextiques rationnelles réelles pouvant être perturbées en des sextiques maximales ou presque maximales (dans le sens de l’inégalité de Harnack). L’approche retenue repose sur l’étude des périodes des surfaces K3, se basant notamment sur le Théorème de Torelli Global de Piatetski-Shapiro et Shafarevich et le Théorème de Surjectivité de Kulikov, ainsi que sur les résultats de Nikulin portant sur les formes bilinéaires symétriques intégrales
This thesis studies nodal sextics (algebraic curves of degree six), and in particular rational sextics, in the real projective plane. Two such sextics with k nodes are called rigidly isotopic if they can be joined by a path in the space of real nodal sextics with k nodes. The main result of the first part of the thesis is a rigid isotopy classification of real nodal sextics without real nodes, generalizing Nikulin’s classification of non-singular sextics. In the second part we study sextics with real nodes and we describe the rigid isotopy classes of such sextics in the case where the sextics are dividing, i.e., their real part separates the complexification (the set of complex points) into two halves. As a main application, we give a rigid isotopy classification for those nodal real rational sextics which can be perturbed to maximal or next-to-maximal sextics in the sense of Harnack’s inequality. Our approach is based on the study of periods of K3 surfaces, drawing on the Global Torelli Theorem by Piatetski-Shapiro and Shafarevich and Kulikov’s surjectivity theorem, as well as Nikulin’s results on symmetric integral bilinear forms

Работа содержит исследования трех моделей живых систем с дискретным временем. В первой главе рассматривается одномерная модель нейронной активности, задаваемая кусочно-гладким отображением. Показывается, что в случае одномерного отображения наличие случайного возмущения приводит к появлению всплесков (спайкингу). Исследуются два механизма генерации спайков, вызванных добавлением случайного возмущения в один из параметров. Иллюстрируется, что сосуществование двух аттракторов является не единственной причиной возникновения спайкинга. Для прогнозирования уровня интенсивности шума, необходимого для генерации спайков, применяется метод доверительных областей, который основан на функции стохастической чувствительности. Также находятся основные характеристики межспайковых интервалов в зависимости от интенсивности шума. Вторая глава работы посвящена применению метода функции стохастической чувствительности к аттракторам кусочно-гладкого одномерного отображения, описывающего динамику численности популяции. Первым этапом исследования является параметрический анализ возможных режимов детерминированной модели: определение зон существования устойчивых равновесий и хаотических аттракторов. Для определения параметрических границ хаотического аттрактора применяется теория критических точек. В случае, когда на систему оказывает влияние случайное воздействие, на основе техники функции стохастической чувствительности дается описание разброса случайных состояний вокруг равновесия и хаотического аттрактора. Проводится сравнительный анализ влияния параметрического и аддитивного шума на аттракторы системы. С помощью техники доверительных интервалов изучаются вероятностные механизмы вымирания популяции под действием шума. Анализируются изменения параметрических границ существования популяции под действием случайного возмущения. В третьей главе проводится анализ возможных динамических режимов детерминированной и стохастической модели Лотки-Вольтерры. В зависимости от двух параметров системы строится карта режимов. Изучаются параметрические зоны существования устойчивых равновесий, циклов, замкнутых инвариантных кривых, а также хаотических аттракторов. Описываются бифуркации удвоения периода, Неймарка--Саккера и кризиса. Демонстрируется сложная форма бассейнов притяжения. Помимо детерминированной системы подробно изучается стохастическая, описывающая влияние внешнего случайного воздействия. В случае хаоса дан алгоритм нахождения критических линий, описывающих границу хаотического аттрактора. Опираясь на найденную чувствительность аттракторов, строятся доверительные полосы и эллипсы, позволяющие описать разброс случайных состояний вокруг детерминированного аттрактора.
The work contains study of three models of biological systems with discrete time. In the first chapter a one-dimensional model of neural activity defined by a piecewise-smooth map is considered. It is shown that in the case of a one-dimensional model, the presence of a random disturbance leads to a spike generation. Two mechanisms of spike generation caused by the presence of a random disturbance in one of the parameters are investigated. It is illustrated that the coexistence of two attractors is not the only reason of spiking. To predict the level of noise intensity needed to generate spikes, the confidence-domain method is used, which is based on the stochastic sensitivity function. The main characteristics of interspike intervals depending on the intensity of the noise are also described. The second chapter is devoted to the application of the method of the stochastic sensitivity function to attractors of a piecewise-smooth one-dimensional map, which describes the population dynamics. The first stage of the study is a parametric analysis of the possible regimes of the deterministic model: determining the zones of existence of stable equilibria and chaotic attractors. The theory of critical points is used to determine the parametric boundaries of a chaotic attractor. In the case where the system is affected by a random noise, based on the stochastic sensitivity function, a description of the spread of random states around equilibrium and a chaotic attractor is given. A comparative analysis of the influence of parametric and additive noise on the attractors is carried out. Using the technique of confidence intervals, the probabilistic mechanisms of extinction of a population under the influence of noise are studied. Changes in the parametric boundaries of the existence of population under the influence of random disturbance are analyzed. In the third chapter the possible dynamic modes of the Lotka-Volterra model in determi\-nistic and stochastic cases are analyzed. Depending on the two parameters of the system, bifurcation diagram is constructed. Parametric zones of the existence of stable equilibria, cycles, closed invariant curves, and also chaotic attractors are studied. The bifurcations of the period doubling, Neimark--Sacker and the crisis are described. The complex shape of the basins of attraction is demonstrated. In addition to the deterministic system, the stochastic system is studied in detail, which describes the influence of external random disturbance. In the case of chaos, an algorithm for finding critical lines describing the boundary of a chaotic attractor is given. Based on the stochastic sensitivity function, confidence bands and ellipses are constructed to describe the spread of random states around a deterministic attractor.

The vehicles of tomorrow will be more sophisticated, intelligent and safe than the vehicles of today. The future is leaning towards fully autonomous vehicles. This degree project provides a data driven solution for a speed adaptation system that can be used to compute a vehicle speed for curves, suitable for the underlying driving style of the driver, road properties and weather conditions. A speed adaptation system for curves aims to compute a vehicle speed suitable for curves that can be used in Advanced Driver Assistance Systems (ADAS) or in Autonomous Driving (AD) applications. This degree project was carried out at Volvo Car Corporation. Literature in the field of speed adaptation systems and factors affecting the vehicle speed in curves was reviewed. Naturalistic driving data was both collected by driving and extracted from Volvo's data base and further processed. A novel speed adaptation system for curves was invented, implemented and evaluated. This speed adaptation system is able to compute a vehicle speed suitable for the underlying driving style of the driver, road properties and weather conditions. Two different artificial neural networks and two mathematical models were used to compute the desired vehicle speed in curves. These methods were compared and evaluated.
Morgondagens fordon kommer att vara mer sofistikerade, intelligenta och säkra än dagens fordon. Framtiden lutar mot fullständigt autonoma fordon. Detta examensarbete tillhandahåller en datadriven lösning för ett hastighetsanpassningssystem som kan beräkna ett fordons hastighet i kurvor som är lämpligt för förarens körstil, vägens egenskaper och rådande väder. Ett hastighetsanpassningssystem för kurvor har som mål att beräkna en fordonshastighet för kurvor som kan användas i Advanced Driver Assistance Systems (ADAS) eller Autonomous Driving (AD) applikationer. Detta examensarbete utfördes på Volvo Car Corporation. Litteratur kring hastighetsanpassningssystem samt faktorer som påverkar ett fordons hastighet i kurvor studerades. Naturalistisk bilkörningsdata samlades genom att köra bil samt extraherades från Volvos databas och bearbetades. Ett nytt hastighetsanpassningssystem uppfanns, implementerades samt utvärderades. Hastighetsanpassningssystemet visade sig vara kapabelt till att beräkna en lämplig fordonshastighet för förarens körstil under rådande väderförhållanden och vägens egenskaper. Två olika artificiella neuronnätverk samt två matematiska modeller användes för att beräkna fordonets hastighet. Dessa metoder jämfördes och utvärderades.

The aim of this PhD thesis is to study the area functional for submanifolds immersed in an equiregular graded manifold. This setting, extends the sub-Riemannian one, removing the bracket generating condition. However, even in the sub-Riemannian setting only sub-manifolds of dimension or codimension one have been extensively studied. We will study the general case and observe that in higher codimension new phenomena arise, which can not show up in the Riemannian case. In particular, we will prove the existence of isolated surfaces, which do not admit degree preserving variation: a phenomena observed by now only for curves, related to the notion of abnormal geodesics.

碩士
逢甲大學
航太與系統工程學系
101
In this paper, we wish that unmanned Aerial Vehicle and autonomous robot have ability to build environmental information automatically. We use LabVIEW and MATLAB to create a human-machine-interaction system for a two dimension map building. The purpose of this system, we want to build the environment map correctly and quickly. About the study of environmental map building, in 2011, the azimuth environment map data point process method reduced total line quantities and add to the efficiency of building map. However, in the curve environment map, the method could not reduce total line quantities effectively. In 2012, the second degree curve map data point process method improved the problem of total line quantities. But this method needs more times to build map. This paper establishes the improved quadratic curve process method, this method includes advantage of the azimuth environment map data point process method and the second degree curve map data point process method. Therefore, the improved quadratic curve process method reduces total line quantities, and builds the curve environment map quickly.

Hoje em dia, a natureza da economia de serviços passou da natureza transacional para relacionamentos baseados na experiência. As pessoas trabalham em todos os tipos de indústria e em diferentes áreas, todos eles querem oferecer experiências aos seus clientes. A experiência do cliente tem recebido uma atenção significativa mais do que nunca. As empresas começam a perceber que oferecer uma experiência bem desenhada aos clientes pode aumentar a satisfação do cliente e eventualmente afetar o desempenho dos seus negócios. A empresa utiliza o mapa de viagem do cliente para descrever o processo através do qual o cliente percorre um conjunto de pontos de contato para melhorar o seu serviço. No entanto, argumentamos que a curva de valor em que se situa a proposta de valor de uma empresa também afeta a tomada de decisões dos clientes em determinadas fases do mapa de viagem do cliente. Neste estudo, tendemos a explorar como a curva de valor de uma empresa pode influenciar o seu mapa de viagem do cliente através das duas empresas de plataformas portuguesas. Achamos que o mapa de viagem do cliente pode ser influenciado diretamente e fortemente pela curva de valor. Além disso, descobrimos a partir desses dois casos que uma forte parceria e recurso humanos valiosos também podem afetar o sucesso da empresa no seu mercado-alvo.
Today, the nature of service economy has shifted from transactional nature to experience-based relationships. Everyone from different industries and sectors wants to provide experiences. Customer experience has received significant attention, more than ever before. Companies start to realize that delivering a well-designed experience to customers can increase customer satisfaction and eventually affect their business performance. Company employs customer journey map which describes the process where customer flow through a set of touch points during the service encounter to help them improve its service. However, we argue that the value curve where lies value proposition of a company also affects customers’ decision-making during certain phases of customer journey map. In this following study, we explore how value curve of a company can influence its customer journey map by studying two Portuguese platform companies. We find that customer journey map can be influenced directly and strongly by value curve. Furthermore, we discovered from these two cases that a strong partnership and valuable human resources can also affect company’s success in its target market.

碩士
大同大學
資訊工程學系(所)
98
The application of navigation using digital map and GPS position technology is very common today. Therefore, a precise map that can be updated frequently is needed to cooperate with navigator. In other researches, high precise GPS receivers or a lot of GPS data are used to construct a digital map. On the other hand, using GPS log data collected from the low cost GPS receiver to construct the digital map may be a better way. We can use log data to update the digital map rapidly. The location information logged from low cost GPS receivers is embedded with a lot of noise and drift. If the original GPS data are used directly, the constructed map may contain many errors. In this paper, the NURBS curve is applied to improve the accuracy of digital map generated from GPS Traces. First, the imperfect GPS trace data are removed to ensure accuracy. In addition, too crowded data is not suitable for creation of NURBS curve, so some data are removed. Then the remaining GPS data are used to generate the NURBS curve. The location and HDOP of these GPS data are used as the control points of NURBS curve and the weight of control points, respectively. The weight of point will determine the influence to NURBS curve, thereby reducing the influence of drift of GPS data. Then, the NURBS curve is profiled and the low-correlated with their neighbor profiles are removed. New profiles are accumulated with old profiles, and stored the result into database. The profiles in database are accumulated with new profiles continuously, the segments, a group of profiles, will be more accuracy. Finally, a digital map can be generated with these segments.

碩士
國立暨南國際大學
電機工程學系
106
With the ever-changing technology, the requirements for image quality are gradually increasing. As the DVD evolves into today’s HD and Ultra HD, the demand of high resolution is necessary. High-resolution video or video with high-quality details and rich color content make it important in all fields, such as digital cameras and video cameras, medical imaging, satellite imaging and video surveillance systems are needed to enhance the picture quality. When an image is acquired via an acquisition system, it is usually possible to transform it into a low-resolution image due to imaging conditions, imaging factors, and hardware limitations that can cause the image to be ruined. In addition to the color map information, the enhancement and reconstruction of the depth map information is also the key to improving the image quality and the overall quality of the three-dimensional image. By using the theory of super-resolution reconstruction, the damaged and corrupted images can obtain lost information through the techniques of restoration and reconstruction. The coverage of super-resolution reconstruction theory is very broad. This dissertation discusses and emphasizes on the super-resolution reconstruction of the enhancement at the edge of depth map. The main research topic of this paper is: how to use the polynomial regression of curve fitting to simulate the missing information at the edge of the depth map. At the edge of depth map, polynomial regression is used to reconstruct the lost high frequency information. For the non-edge area, the traditional bicubic interpolation is adopted for reducing compute complexity. Finally, the super-resolution reconstruction architecture is set up to generate high-resolution image sequence. The input is set as multi-frame image sequence. Combining with spatial and temporal information, the traditional interpolation is used at current frame to enhance the resolution and adjacent frame information generated by the residual is utilized to substitute into the corresponding filter to improve the accuracy of super-resolution reconstruction. The experimental results show that the PSNR of the high-resolution video sequence reconstructed by the proposed method is 1 ~ 2 dB about average higher than the traditional bi-cubic interpolation method, and the hit rate at the edge is also about 10 ~ 20% higher, can effectively enhance the visual quality.

A novel approach for the design and synthesis of membrane separation systems has been developed. The theory is shown to be applicable to both batch and continuous membrane operations, and has been formulated in such a way that it is valid for any type of membrane. In this thesis, however, only vapour permeation and pervaporation membranes are incorporated for illustration purposes. The method, which employs a graphical technique, allows one to calculate and visualise the change in composition of the retentate. An integral part of the approach was the derivation of the Membrane Residue Curve Map (M-RCM), and the related differential material balance which describes it. By definition, this plot shows the change, in time, of the retentate composition in a batch still. However, it has been shown that the M-RCM is applicable to conventional continuously-operated membrane units, as well as infinite reflux membrane columns. Finite reflux columns and cascades have been examined by using column sections (CS): any column, or arrangement, no matter how complex, can be broken down into smaller units, namely CS. The development of the Difference Point Equation (DPE) for non-constant flow allowed one to generate, and interpret, profiles for individual CS’s, which can ultimately be connected to form a membrane column arrangement. The profiles, which are more complex than those obtained in the M-RCM, exhibit a unique behavior. Since there is varying flow, the reflux is continually changing, orientating the profile so as to seek a stable node that is “mobile”. Thus, the movement of CS profile is dictated by the location and direction of the pinch point locus. Finally, having membrane permeators examined in an analogous manner to other separation methods, allows for easy synthesis and design of combinations of different processes. Hybrid distillation-membrane systems are analyzed by incorporating CS’s and the appropriate DPE’s which describe each. Investigating the arrangement as a thermally-coupled column introduces a novel way of synthesizing hybrids. Regions of feasibility, which are dictated by the relevant pinch point loci of each separation method, are ultimately sought.

博士
臺灣大學
化學工程學研究所
99
The residue curve map and boiling point ranking are the starting points of systematic methods for design of reactive distillation processes. In this study, we develop the esterification systems’ design and operation to know more about the role which the residue curve map and boiling point ranking play. Ethyl and isopropyl acetates are important organic solvents which have been widely used in the production of varnishes, ink, synthetic resins and adhesive agents. In this study, the production of high-purity ethyl acetate (EtAc) using reactive distillation (RD) is studied experimentally in a pilot-scale plant. The objectives are two folds: (1) to realize the type-II RD process [Y.T. Tang, Y.W. Chen, H.P. Huang, C.C.Yu, S.B. Huang, M.J. Lee, Design of reactive distillations for acetic acid esterification with different alcohols, AIChE J. 51 (2005) 1683–1699] for EtAc production with a pilot plant, a complex two-column configuration with liquid phase split, (2) to study the initial charges to the column holdups and a start-up procedure for continuous production via residue curve map. According to type II system [Tang et al., 2003, 2005 and Lai et al., 2007] studies, the rectifying section of both RD columns has prominent remixing phenomenon. Observing the transformation of composition profile projected on quaternary residue curve map, the composition trajectory is crooked. Based on their results, designs incorporating reactive divided wall column (RDWC) is proposed. In this work, we make a hypothesis that when the turning disappears or the composition trajectory becomes shorter, it would save energy. To find out the benefit in term of energy saving, the feed conditions, throughput, product specification and column tray setup are all the same with conventional reactive distillation design. The final simulation result shows that the energy savings for EtAc and IPAc systems are 11.8% and 24%, respectively. Furthermore, the residue curve maps (RCM) in the two systems show that the composition trajectory is shorter than those of the conventional RD designs. In these EtAc and IPAc systems, we also demonstrate beneficial and successful RDWC designs to deal with conventional design consisting of RD with a decanter. Follow the design of adipic acid (AA) esterication (Hung, S. B. Design and Control of Reactive Distillation Systems: One-Stage and Two-Stage Esterification. Ph.D. Thesis, National Taiwan University of Science and Technology, Taipei, Taiwan, 2006.), a new complete reactive distillation process for two-stage reaction systems (glutaric acid (GA) esterifications with methanol) is explored. Similarities and differences between these two flowsheets have been identified. Both the acid esterification reactions are catalyzed heterogeneously by acidic ionexchange resin and reaction kinetics can be described using quasihomogeneous model. The UNIFAC group contribution method predicts suitable NRTL parameters for calculating liquid activity coefficients. Results show that the plantwide flowsheets need a large recycle ratio for the light key reactants and ester products could be achieved with a purity of 99 mol %. A systematic design procedure for the complete flowsheets is presented, and the optimum operating conditions of the overall systems are studied to minimize the total annual cost while meeting the product specifications. Then, follow above design experience; there is an extension to acid mixture (glutaric acid (GA), adipic acid (AA) and 6-hydroxyhexanoic acid (HHA)) esterification with inert. The acid mixture is the byproduct of caprolactam production. The esterification products of acid mixture are the raw material of pentanediol and haxanediol. Due to thermal limitation of HHA, the acid mixture esterification system design should be based on FSA, a lower temperature process, to prevent the decomposition of HHA. Finally, dynamic control is proposed.

This work introduces fundamental and alternative definition of Weil pairing and proves their equivalence. The alternative definition is more advantageous for the purpose of computing. We assume basic knowledge of elliptic curves in the affine sense. We explain the K-rational maps and its generalization at the point at infinity, rational map. The proof of equivalence of the two mentioned definitions is based upon the Generalized Weil Reciprocity, which uses a concept of local symbol. The text follows two articles from year 1988 and 1990 written by L. Charlap, D. Robbins a R. Coley, and corrects a certain imprecision in their presentation of the alternative definition. Powered by TCPDF (www.tcpdf.org)

Current developments of hardware devices have allowed the computer vision technologies to analyze complex human activities in real time. High quality computer algorithms for human activity interpretation are required by many emerging applications, such as patient behavior analysis, surveillance, gesture control video games, and other human computer interface systems. Despite great efforts that have been made in the past decades, it is still a challenging task to provide a generic gesture recognition solution that can facilitate the developments of different gesture-based applications. Human vision is able to perceive scenes continuously, recognize objects and grasp motion semantics effortlessly. Neuroscientists and psychologists have tried to understand and explain how exactly the visual system works. Some theories/hypotheses on visual perception such as the visual attention and the Gestalt Laws of perceptual organization (PO) have been established and shed some light on understanding fundamental mechanisms of human visual perception. In this dissertation, inspired by those visual attention models, we attempt to model and integrate important visual perception discoveries into a generic gesture recognition framework, which is the fundamental component of full-tier human activity understanding tasks. Our approach handles challenging tasks by: (1) organizing the complex visual information into a hierarchical structure including low-level feature, object (human body), and 4D spatiotemporal layers; 2) extracting bottom-up shape-based visual salience entities at each layer according to PO grouping laws; 3) building shape-based hierarchical salience maps in favor of high-level tasks for visual feature selection by manipulating attention conditions of the top-down knowledge about gestures and body structures; and 4) modeling gesture representations by a set of perceptual gesture salience entities (PGSEs) that provide qualitative gesture descriptions in 4D space for recognition tasks. Unlike other existing approaches, our gesture representation method encodes both extrinsic and intrinsic properties and reflects the way humans perceive the visual world so as to reduce the semantic gaps. Experimental results show our approach outperforms the others and has great potential in real-time applications.
PhD Thesis