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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
301

Microestrutura e propriedades elétricas e dielétricas do titanato de estrôncio puro e contendo aditivos / Microstructure and electric and dieletric properties of strontium titanate pure and containing additives

FUJIMOTO, TALITA G. 21 December 2016 (has links)
Submitted by Marco Antonio Oliveira da Silva (maosilva@ipen.br) on 2016-12-21T16:28:43Z No. of bitstreams: 0 / Made available in DSpace on 2016-12-21T16:28:43Z (GMT). No. of bitstreams: 0 / O titanato de estrôncio (SrTiO3) possui estrutura cristalina do tipo perovsquita. Materiais com este tipo de estrutura são utilizados para diversas aplicações, tais como, sensores, atuadores, em células a combustível de óxido sólido, entre outros. Devido as suas interessantes propriedades físicas, o SrTiO3 vem sendo intensamente estudado, em especial com a introdução de dopantes. Portanto, neste trabalho foi investigada a influência de diferentes teores de Ca (1; 2,5 e 5% mol) e Pr (0,025; 0,050; 0,075 e 1% mol) na microestrutura e propriedades elétricas e dielétricas do SrTiO3, assim como o material sem aditivos (puro). Os resultados mostram que após a sinterização do SrTiO3 puro, a microestrutura consiste de grãos poligonais com tamanho médio micrométrico, além de texturas lisas e rugosas. A condutividade elétrica das amostras sintetizadas sinterizadas a 1450 e 1500ºC é máxima para 2 horas de patamar. Apenas as amostras de SrTiO3 contendo 1% em mol de Ca apresentam fase única. O tamanho médio de grãos das amostras contendo 1% em mol de Ca é 10,65 ± 0,28 µm e para teores acima deste valor ocorre crescimento significativo dos grãos. As medidas de condutividade elétrica mostraram que as amostras contendo a adição de 1% em mol de Ca possuem maior condutividade dos grãos em relação ao material puro. Para as amostras contendo teores de até 0,075% mol de Pr, pode-se observar alguns grãos lisos e outros rugosos e não há variação considerável do tamanho médio de grãos. As amostras contendo menor teor de Pr (0,025% mol) apresentam maior condutividade dos grãos e contornos de grãos. As amostras de SrTiO3 sintetizado sinterizadas a 1450ºC/10 h apresentaram permissividade elétrica colossal em temperatura ambiente em altas frequências. / Dissertação (Mestrado em Tecnologia Nuclear) / IPEN/D / Instituto de Pesquisas Energéticas e Nucleares - IPEN-CNEN/SP
302

AnÃlise de performance de sÃlitons Ãpticos espaÃo-temporais em guia planar com nÃo-linearidade cÃbico quintica periodicamente modulada e circuitos lÃgicos operando nos regimes Kerr instantÃneo e relaxado. / Performance analysis of the spatio-temporal optical solitons in a planar guide with cubic quintic nonlinearity periodically modulated and logic circuits operating in regimes Kerr instantaneous and relaxed.

Josà Wally MendonÃa Menezes 03 March 2010 (has links)
FundaÃÃo de Amparo à Pesquisa do Estado do Cearà / Neste trabalho, a propagaÃÃo e estabilidade de sÃlitons espaÃo-temporais (ou sÃlitons balas) em um guia de onda planar com nÃo linearidade cÃbico quintica periodicamente modulada à apresentada em funÃÃo da amplitude de modulaÃÃo , da freqÃÃncia de modulaÃÃo e da distÃncia de propagaÃÃo . Com o objetivo de garantir a estabilidade e prevenir o colapso ou o espalhamento dos pulsos, exploramos a nÃo-linearidade cÃbico quintica com os campos Ãpticos acoplados por XPM (ModulaÃÃo de Fase Cruzada) e utilizando diversos valores para o parÃmetro nÃo-linear , para as amplitudes e freqÃÃncias de modulaÃÃo em funÃÃo da distÃncia de propagaÃÃo , provocamos a colisÃo de dois pulsos (campos Ãpticos) para garantir que estes sejam realmente sÃlitons e, apÃs estas anÃlises numÃricas, foi possÃvel mostrar a existÃncia de sÃlitons espaÃo-temporais estÃveis. Apresentamos, tambÃm, a anÃlise numÃrica de um acoplador triplo nÃo linear de fibras Ãpticas em uma estrutura planar simÃtrica e operando com o modelo Kerr instantÃneo e relaxado para geraÃÃo de portas lÃgicas Ãpticas. Para implementar estes circuitos, usamos um pulso de controle CP com uma diferenÃa de fase entre as entradas âI1â e âI2â do acoplador e analisamos as caracterÃsticas de transmissÃo, taxa de extinÃÃo em funÃÃo da diferenÃa de fase, a largura normalizada (LN), a figura de mÃrito para portas lÃgicas FOMELG(dB) e a evoluÃÃo dos pulsos ao longo do acoplador e, assim, foi demonstrado as possibilidades para geraÃÃo das portas lÃgicas Ãpticas. / In this work, the propagation and stability of spatiotemporal optical solitons (or optical bullets) in a planar waveguide with periodically modulated cubic-quintic nonlinearity is presented numerically as a function of the amplitudes of modulation , the frequency of modulation and the propagation distance .With the objective of ensure the stability and preventing the collapse or the spreading of pulses, in this study we explore the cubic-quintic nonlinearity with the optical fields coupled by XPM (Cross-Phase Modulation) and take into account several values for the nonlinear parameter , for amplitudes and frequency of modulation as a function of the propagation distance , we cause the collisions of two pulses (envelope of the optical field) to ensure that the optical pulse are sÃlitons and, after numerical analysis was possible shown the existence of stable spatiotemporal optical sÃliton. We also have presented the numerical analysis of the three-core nonlinear fiber coupler in a symmetrical planar structure and operating with instantaneous and relaxed Kerr model for generation of the all-optical logic gates. To implement this optical circuit, we used a control pulse CP with a phase difference between the inputs âI1â and âI2â of the fiber coupler and were analyzed the transmission characteristics, the Extinction Ratio as a function of the phase difference, the length normalized (LN), the figure-of-merit of the logic gates (FOMELG (dB) and the pulse evolution along the fiber coupler and, thus, ensure were demonstrated the possibilities for generating of the all-optical logic gates.
303

Optique non linéaire quadratique et cubique des nanoparticules d'or uniques / Quadratic and Cubic nonlinear optics from singles gold nanoparticles

Bergmann, Emeric 03 December 2015 (has links)
Le manuscrit présente une étude de la réponse optique non linéaire quadratique et cubique de nano-structures métalliques d'or déposées sur substrat. Le travail s'inscrit plus généralement dans le domaine de la plasmonique non linéaire et vise à mieux comprendre l'interaction entre les nanostructures et la lumière, dans un régime d'intensités incidentes fortes, lorsque la réponse n'est plus linéaire. Les exaltations des champs électromagnétiques locaux dans ces structures par les résonances de plasmon de surface, excitations collectives des électrons de conduction, favorisent en effet considérablement ces processus. Dans le cadre de la réponse quadratique, l'étude a essentiellement porté sur le processus appelé génération de second harmonique (SHG, acronyme pour Second Harmonic Generation) par lequel deux photons incidents à la fréquence fondamentale sont convertis en un photon à la fréquence harmonique double. Ce processus est fortement dépendant de la morphologie des nanostructures métalliques. Pour la réponse cubique, l'étude a porté sur les effets Kerr optiques qui décrivent la variation de l'indice optique des nanostructures avec l'intensité de l'onde incidente. Une attention toute particulière a été donnée aux conditions géométriques d'éclairement effectué avec une grande ouverture numérique. Le champ électromagnétique incident ne doit en effet plus être considéré dans l'approximation paraxiale / The manuscript reports a study about the quadratic and cubic nonlinear optical response from gold metallic nanostructures which are deposited onto substrates. The field of this work is more commonly known as nonlinear plasmonics and it consists in trying to understand the interaction between nanostructures and light, in a regime of high incident intensities when the response is no longer linear. The local electromagnetic field enhancement in these structures due to the surface plasmon resonance, the latters being collectives excitations of the conduction band electrons, increase drastically the cross-section for these processes. In the context of a quadratic response, the study has been focused on the Second Harmonic Generation (SHG) process whereby two incident photons at the fundamental wavelength are converted into one photon at twice the harmonic frequency. This process is highly dependent to the metallic nanostructures morphology. For the cubic response, the study has been focused on the optical Kerr effect which describes the optical index variation of nanostructure with the intensity of the incident wave.Specifics considerations have been taken into account about the geometrical illumination conditions which are performed with a large numerical aperture. The electromagnetic incident field cannot be anymore considered within the paraxial approximation
304

Energy dissipation and transport in polymeric switchable nanostructures via a new energy-conserving Monte-Carlo scheme

Langenberg, Marcel Simon 09 April 2018 (has links)
No description available.
305

Mésothéliome : étiologie professionnelle à partir d’enquêtes cas-témoins françaises / Mesothelioma : occupational etiology from French case-control studies

Lacourt, Aude 03 December 2010 (has links)
Le mésothéliome pleural est considéré comme très spécifique d’une exposition à l’amiante. Cependant, certains aspects de l’étiologie de cette maladie n’ont pas encore été bien caractérisés. Les objectifs de cette étude sont : i) d’estimer la relation dose-effet entre exposition professionnelle aux fibres d’amiante et survenue de mésothéliome pleural selon différents indicateurs temporels d’exposition ; ii) d’étudier l’effet d’une exposition professionnelle aux laines minérales et aux poussières alvéolaires de silice cristalline libre sur le risque de survenue de mésothéliome pleural et iii) d’identifier les professions et secteurs d’activité à risque de survenue de mésothéliome pleural à partir de données recueillies sur une période de 20 ans. Les cas provenaient de ceux recrutés dans une précédente étude cas-témoins réalisée entre 1987 et 1993 et des cas enregistrés dans le programme national de surveillance du mésothéliome entre 1998 et 2006 (1 199 hommes). Les témoins ont été appariés en fréquence sur l’année de naissance et le sexe (2 378 hommes). L’exposition professionnelle à l’amiante, aux laines minérales et à la silice a été évaluée à partir de matrices emplois-exposition. Les relations dose-effet ont été estimées à l’aide du modèle logistique et leur forme a été obtenue grâce à l’utilisation de fonctions splines cubiques restreintes. Si la relation dose-effet à l’amiante est bien confirmée (particulièrement aux faibles doses), cette étude apporte de nouveaux résultats sur la relation temps-effet (rôle du temps écoulé depuis la dernière exposition ou effet de l’âge à la première exposition). Elle ouvre également de nouvelles perspectives sur le rôle des co-expositions (laines minérales) et permet d’identifier de nouvelles activités à risque, comme les mécaniciens automobiles. / Asbestos exposure is recognized as the primary cause of pleural mesothelioma. However, some aspects of etiology of this disease have not been well characterized. The objective of this study was to elucidate dose-response relationships of temporal pattern of occupational asbestos exposure in males, using case-control data, to study effect of man made vitreous fibers and silica dust on the risk of pleural mesothelioma and finally, to describe occupations and industries at high risk for this cancer among men in France according a period of twenty years of observation. Cases came from a French case-control study conducted in 1987-1993 and from the French National Mesothelioma Surveillance Program in 1998-2006 (1,199 males). Population controls were frequency matched by sex and year of birth (2,378 males). Occupational asbestos exposure was evaluated with a job-exposure matrix. The dose-response relationships were estimated using logistic regression models and form of this relationship were estimated using restricted cubic spline functions. Dose-response relationship was confirmed (particularly for lowest doses). However, this study provides new results about time-effect relationships (role of time since last exposure or effect of age at first exposure). This study opens up new prospects on the role of co-exposure (mineral wool) and permit to identify new activities at risk for pleural mésothéliome as motor vehicle mechanics.
306

Derivation and application of response functions for nonlinear absorption and dichroisms

Fahleson, Tobias January 2017 (has links)
This thesis explores and expands upon theoretical means of quantifying a number of nonlinear spectroscopies, including two-photon absorption, resonant-inelastic x-ray scattering, Jones birefringence, and magnetic circular dichroism. On top of that, detailed information is given for the derivation and program implementation of damped cubic response functions. Complex-valued cubic response functions have been implemented in the quantum chemistry package DALTON, based on working equations formulated for an approximate-state wave function. An assessment of the implementation, such that for small frequencies the second-order hyperpolarizability should behave according to an analytic function that depends quadratically on the optical frequencies. It is demonstrated how two-photon absorption (TPA) can be described either through second-order transition moments or via the damped cubic response function. A few calculated TPA profiles are produced for a set of smaller molecules, in order to display the capability of the cubic response function in the x-ray frequency region. Resonance-inelastic x-ray scattering (RIXS) is explored in a similar manner as two-photon absorption. It is shown how the second-order hyperpolarizability can represent RIXS in the limit of intermediate-state and final-state resonances. Complications emerging from the complex dispersion of the hyperpolarizability are discussed. Moreover, linear birefringences, with focus on the Jones birefringence, are investigated for noble gases, monosubstituted benzenes, furan homologues, and a pure acetonitrile liquid. A linear relation between the Jones birefringence and the empirical para-Hammett constant as well as the permanent electric dipole moment is presented. Estimations of three linear birefringences --- Kerr, Cotton--Mouton, and Jones ---are obtained by averaging over a set of liquid snapshots. The Jones effect for acetonitrile turns out to be unusually large inmparison to the other two investigated linear birefringences. The final chapter of the thesis investigates magnetically induced circular dichroism (MCD). A question regarding relative stability of the first set of excited states for DNA-related molecular systems is resolved through MCD by exploiting the signed nature of circular dichroisms. Furthermore, to what extent solvent contributions affect MCD spectra is explored. The effect on uracil MCD spectrum due to thionation is studied, for which the degree of redshifting for systems 2-thiouracil and 4-thiouracil can be seen to be addative as compared to the 2,4-dithiouracil system. / <p>QC 20171129</p>
307

Simulação de grandes escalas de escoamentos turbulentos com filtragem temporal via método de volumes finitos / Temporal large eddy simulation of turbulent flows via finite volume method

Laís Corrêa 14 December 2015 (has links)
Este trabalho tem como principal objetivo o desenvolvimento de um método numérico para simulação das grandes escalas de escoamentos turbulentos tridimensionais utilizando uma modelagem de turbulência baseada em filtragem temporal (denominada TLES - Temporal Large Eddy Simulation). O método desenvolvido combina discretizações temporais com ordem de mínima precisão 2 (Adams-Bashforth, QUICK, Runge-Kutta), um método de projeção de ordem 2, com discretizações espaciais também de ordem 2 obtidas pelo método de volumes finitos. Esta metodologia foi empregada na simulação de problemas teste turbulentos como o canal e a cavidade impulsionada, sendo este último resultado simulado pela primeira vez com modelagem TLES. Os resultados mostram uma excelente concordância quando comparado com resultados de simulações diretas (DNS) e dados experimentais, superando resultados clássicos obtidos com formulação LES com filtragem espacial. / The main objective of this work is to develop a numerical method for large eddy simulation of tridimensional turbulent flows using a model based on temporal filtering (TLES - Temporal Large Eddy Simulation). The developed method combines at least 2nd order temporal discretizations (Adams-Bashforth, QUICK, Runge-Kutta), a 2nd order projection method, and 2nd order spatial discretizations obtained by the finite volume method. This methodology was employed to the simulation of turbulent benchmark problems such as channel and lid-driven cavity flows. The latter is simulated for the first time using a TLES turbulence modelling. Results show excellent agreement when compared to Direct Numerical Simulations (DNS) and experimental data, with better results than classical results produced by standard LES formulation with spatial filtering.
308

Explosion en temps fini de solutions d’équations dispersives ou dissipatives non-linéaires / Finite time blowup of solutions of dispersive or dissipative nonlinear equations

Cortez, Manuel Fernando 15 October 2015 (has links)
Le sujet de cette thèse est la formation de singularités pour certaines équations d'évolution dispersives et/ou dissipatives non-linéaires. Notre travail est axé sur les problèmes de Cauchy, généralement avec des conditions aux limites périodiques ou dans tout $\mathbb{R}^n$. Notre objectif est de fournir les conditions nécessaires ou suffisantes (ou les deux) sur les données initiales $u_0(x)$, garantissant que la durée de vie $T^{*}$ de la solution résultant de $u_0$ est finie ou non. Nous étudions deux types d'équations : une équation parabolique non linéaires et une classe d'équations d'ondes dispersives. La première équation étudiée est un modèle $1D$ de propagation d’ondes non-linéaires, qui apparaît par exemple dans l'étude des vagues dans un canal ou des déformations d’une barre hyper-élastique. L'une des contributions décisives de notre travail sera celle-ci : la seule solution forte globale périodique du problème de Cauchy de la barre hyper-élastique qui s’annule en au moins un point est la solution identiquement nulle. Nous établissons également l'analogue de ce résultat dans le cas des solutions non-périodiques définies sur toute la droite réelle, avec limite nulle à l'infini. Notre analyse repose sur l'application de nouveaux critères d'explosion "locaux en espace” (local-in-space blowup criteria). Une deuxième équation étudiée est une généralisation de l'équation de la barre hyperélastique qui a été proposée par H. Holden et X. Raynaud. Cette généralisation peut couvrir de nombreux autres types d'équations avec des propriétés mathématiques intéressantes. Nous établirons alors des critères d'explosion locaux en espace pour les solutions de ce modèle. Plus précisément, il s'agira de critères qui ne font intervenir que les propriétés de la condition initiale $u_0$ au voisinage d'un seul point. Ils simplifient et étendent de précédents critères d'explosion pour cette équation. Ensuite, nous nous sommes intéressés à une famille d'équations connue dans la littérature sous le nom $b$-family equations. L'un des cas les plus notables de cette famille d'équations est l'équation de Degasperis-Procesi. Pour cette famille, nous avons obtenu des résultats similaires à ceux décris précédemment. Enfin, dans la dernière partie, il s'agit d'étudier le caractère bien posé, local ou global en temps, dans des espaces fonctionnels issus de l'analyse harmonique et ayant les bonnes propriétés d'invariance par rapport aux changements d'échelle. Nous étudions le problème de Cauchy non linéaire de l'équation de la chaleur. Après avoir établi une extension du résultat d'Y. Meyer sur l’existence de solutions globales à données petites dans les espaces de Besov homogènes $\dot{B}_{p}^{-\sigma, \infty}(\mathbb{R}^{3})$, où $3 < p < 9$ et $\sigma=1-3/p$, nous prouvons que les données initiales $u_0\in \mathcal{S}(\mathbb{R}^{3})$, arbitrairement petites dans ${\dot B^{-2/3,\infty}_{9}}(\mathbb{R}^{3})$, peuvent produire des solutions qui explosent en temps fini. En outre, cette explosion peut se produire après un temps arbitrairement court / The subject of this thesis is the formation of singularities for some nonlinear evolution equations of dissipative and/or dispersive type. Our work is focused on the Cauchy problems, usually with periodic boundary conditions or on the whole $\mathbb{R}^{n}$. Our aim is to provide the necessary or sufficient conditions (or both) on the initial data $u_0 (x)$, ensuring that the lifetime $T^{*}$ of the solution resulting from $u_0$ is finite or not. We study two types of equations: a nonlinear parabolic equation and a class of dispersive wave equations. In the first case, we study a one-dimensional model which describe the propagation of nonlinear waves in a channel or the deformations of a hyper-elastic rod. One decisive contibutions of our work will be this: the only global strong periodic solution of the rod equation vanishing in at least one point is the identically zero solution. We also establish the analogue of this result in the case of non-periodic solutions defined on the whole real line which vanish at infinity. Our analysis is based on the application of new local-in-space blowup criteria. The second equation that we consider is a generalization of the rod equation which was proposed by H. Holden and X. Raynaud. This generalization covers many other equations with interesting mathematical properties. We will establish criteria for the blowup in finite time that involve only the properties of the data $u_0$ in a neighborhood of a single point, thus simplifying and extending earlier blowup criteria for this equation. After, we study family of equations known in the literature as the $b$-family equations. One of the most notable cases of this family of equations is the Degasperis-Procesi equation. For this family we obtain similar results as those described above. Finally, the last part, we study the well-posedness, locally or globally in time of the nonlinear heat equation, in functional spaces having appropriate invariance properties relative to scale changes. After extending Y. Meyer's result establishing the existence of global solutions, under a smallness condition of the initial data in the homogeneous Besov spaces $\dot{B}_{p}^{-\sigma, \infty}(\mathbb{R}^{3})$, where $3 < p < 9$ and $\sigma=1-3/p$, we prove that initial data $u_0\in \mathcal{S}(\mathbb{R}^{3})$, arbitrarily small in ${\dot B^{-2/3,\infty}_{9}}(\mathbb{R}^{3})$, can produce solutions that explode in finite time. In addition, the blowup may occur after an arbitrarily short time.
309

Les courbes algébriques trigonométriques à hodographe pythagorien pour résoudre des problèmes d'interpolation deux et trois-dimensionnels et leur utilisation pour visualiser les informations dentaires dans des volumes tomographiques 3D / Algebraic-trigonometric Pythagorean hodograph curves for solving planar and spatial interpolation problems and their use for visualizing dental information within 3D tomographic volumes

González, Cindy 25 January 2018 (has links)
Les problèmes d'interpolation ont été largement étudiés dans la Conception Géométrique Assistée par Ordinateur. Ces problèmes consistent en la construction de courbes et de surfaces qui passent exactement par un ensemble de données. Dans ce cadre, l'objectif principal de cette thèse est de présenter des méthodes d'interpolation de données 2D et 3D au moyen de courbes Algébriques Trigonométriques à Hodographe Pythagorien (ATPH). Celles-ci sont utilisables pour la conception de modèles géométriques dans de nombreuses applications. En particulier, nous nous intéressons à la modélisation géométrique d'objets odontologiques. À cette fin, nous utilisons les courbes spatiales ATPH pour la construction de surfaces développables dans des volumes odontologiques. Initialement, nous considérons la construction de courbes planes ATPH avec continuité C² qui interpolent une séquence ordonnée de points. Nous employons deux méthodes pour résoudre ce problème et trouver la « bonne » solution. Nous étendons les courbes ATPH planes à l'espace tridimensionnel. Cette caractérisation 3D est utilisée pour résoudre le problème d'interpolation Hermite de premier ordre. Nous utilisons ces splines ATPH spatiales C¹ continues pour guider des facettes développables, qui sont déployées à l'intérieur de volumes tomodensitométriques odontologiques, afin de visualiser des informations d'intérêt pour le professionnel de santé. Cette information peut être utile dans l'évaluation clinique, diagnostic et/ou plan de traitement. / Interpolation problems have been widely studied in Computer Aided Geometric Design (CAGD). They consist in the construction of curves and surfaces that pass exactly through a given data set, such as point clouds, tangents, curvatures, lines/planes, etc. In general, these curves and surfaces are represented in a parametrized form. This representation is independent of the coordinate system, it adapts itself well to geometric transformations and the differential geometric properties of curves and surfaces are invariant under reparametrization. In this context, the main goal of this thesis is to present 2D and 3D data interpolation schemes by means of Algebraic-Trigonometric Pythagorean-Hodograph (ATPH) curves. The latter are parametric curves defined in a mixed algebraic-trigonometric space, whose hodograph satisfies a Pythagorean condition. This representation allows to analytically calculate the curve's arc-length as well as the rational-trigonometric parametrization of the offsets curves. These properties are usable for the design of geometric models in many applications including manufacturing, architectural design, shipbuilding, computer graphics, and many more. In particular, we are interested in the geometric modeling of odontological objects. To this end, we use the spatial ATPH curves for the construction of developable patches within 3D odontological volumes. This may be a useful tool for extracting information of interest along dental structures. We give an overview of how some similar interpolating problems have been addressed by the scientific community. Then in chapter 2, we consider the construction of planar C2 ATPH spline curves that interpolate an ordered sequence of points. This problem has many solutions, its number depends on the number of interpolating points. Therefore, we employ two methods to find them. Firstly, we calculate all solutions by a homotopy method. However, it is empirically observed that only one solution does not have any self-intersections. Hence, the Newton-Raphson iteration method is used to directly compute this \good" solution. Note that C2 ATPH spline curves depend on several free parameters, which allow to obtain a diversity of interpolants. Thanks to these shape parameters, the ATPH curves prove to be more exible and versatile than their polynomial counterpart, the well known Pythagorean-Hodograph (PH) quintic curves and polynomial curves in general. These parameters are optimally chosen through a minimization process of fairness measures. We design ATPH curves that closely agree with well-known trigonometric curves by adjusting the shape parameters. We extend the planar ATPH curves to the case of spatial ATPH curves in chapter 3. This characterization is given in terms of quaternions, because this allows to properly analyze their properties and simplify the calculations. We employ the spatial ATPH curves to solve the first-order Hermite interpolation problem. The obtained ATPH interpolants depend on three free angular values. As in the planar case, we optimally choose these parameters by the minimization of integral shape measures. This process is also used to calculate the C1 interpolating ATPH curves that closely approximate well-known 3D parametric curves. To illustrate this performance, we present the process for some kind of helices. In chapter 4 we then use these C1 ATPH splines for guiding developable surface patches, which are deployed within odontological computed tomography (CT) volumes, in order to visualize information of interest for the medical professional. Particularly, we construct piecewise conical surfaces along smooth ATPH curves to display information related to the anatomical structure of human jawbones. This information may be useful in clinical assessment, diagnosis and/or treatment plan. Finally, the obtained results are analyzed and conclusions are drawn in chapter 5.
310

Vytvoření interaktivních pomůcek z oblasti 3D počítačové grafiky / Interactive teaching aids for 3D computer graphics

Balusek, Radim January 2012 (has links)
This diploma thesis deals with the creation of interactive tools for 3D computer graphics. The introduction of the thesis focuses on general theory of curves and surfaces and its mathematical description. The topics of Geometric transformation, Perspective projection and Parametric description of 3-dimensional surface are analysed in more detail. The successive chapter deals with the subject of visualisation of spatial objects in Java platform interface. The practical part describes the implementation of individual applets. JAVA programming language, which uses the library functions JOGL, was employed for the very realization of the interactive tools. The goal of the diploma thesis is the creation of a set of interactive applets in the field of computer graphics. These applets will be placed on the website of the faculty and they will serve students of VUT in Brno to improve the quality of education.

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