La plupart des modules photovolta¨ıques produits sont `a base de silicium.L’efficacit´e de ces modules d´epend fortement de la qualit´e cristalline du siliciumutilis´ee ainsi que de la quantit´e d’impuret´es pr´esente dans le lingotd’origine d’o`u sont issus les modules. Les lingots de silicium sont obtenus aucours d’un proc´ed´e de solidification, durant lequel les impuret´es sont extraitespar ph´enom`ene de s´egr´egation. Le processus de s´egr´egation est influenc´e parl’´ecoulement dans le liquide durant l’´etape de solidification. L’utilisation d’unchamp magn´etique externe permet le contrˆole de l’´ecoulement dans le bainliquide. Dans cette ´etude, l’effet d’un ´ecoulement forc´e sur le processus des´egr´egation est ´etudi´e. Pour cela un dispositif exp´erimental (VB2) et unmod`ele num´erique ont ´et´e d´evelopp´es dans le but de comprendre le rˆole del’´ecoulement sur la forme de l’interface et sur la s´egr´egation des impuret´es. / The photovoltaic modules are generally produced using silicon wafers. Theirelectrical efficiency is related to the crystal quality, which is influenced bythe presence of pollutants in the ingots from which the wafers are cut. Siliconingots are obtained as a result of solidification processes, which implygrowing a crystal from melt. During this solidification process, impurities areseparated from the silicon. The segregation process is greatly influenced bythe melt velocity during the solidification process. The control of the meltflow during the crystallization process can be achieved using external magneticfields. This thesis presents the results of the study on the influence ofthe forced convection induced by a travelling magnetic field (TMF) duringthe solidification process, using both an experimental set-up (VB2) and anumerical model.

This thesis deals with the introduction of function of two variables and differential calculus of this function. This work should serve as a textbook for students of elementary school's teacher. Each chapter contains a summary of basic concepts and explanations of relationships, then solved model exercises of the topic and finally the exercises, which should solve the student himself. Thesis have transmit to students basic knowledges of differential calculus of functions of two variables, including practical knowledges.

Dans ce travail, nous tentons d’apporter des éléments de compréhension concernant les facteurs sous-jacents aux tendances directionnelles, en examinant l’impact des contraintes biomécaniques et des habitudes culturelles sur la directionnalité dans les mouvements graphiques. Des participants français et syriens, enfants et adultes, ont été comparés dans 6 expériences afin de mettre en évidence les différences cognitives et psychomotrices engendrées par le fait que les cultures occidentales et orientales s'opposent sur la directionnalité majeure de l'écriture et de la lecture, et que les deux mains s’opposent sur la directionnalité en adoptant des mouvements déterminés par des contraintes biomécaniques. De plus, cette comparaison nous a permis de déterminer la force relative de ces deux facteurs au cours du développement lorsqu’un conflit entre les contraintes biomécaniques et les habitudes culturelles apparaît dans la réalisation d’une tâche graphique. Les résultats globaux montrent que la directionnalité peut être considérée comme le produit émergeant d’une interaction complexe entre ces deux types d’influences. La direction d'écriture est un facteur déterminant lorsque la tâche est effectuée avec la main droite (dominante), mais les facteurs culturels et éducatifs peuvent être modulés par le facteur biomécanique lorsque le sujet utilise la main gauche (non dominante). Cette interaction varie selon l'âge du sujet. / In the present work, we try to provide some understanding about the factors underlying the directional tendencies, by examining the impact of biomechanical constraints and cultural habits on directionality in graphic movements. French and Syrian subjects, children and adults, were compared in six experiments in order, to put in evidence the cognitive and psychomotor differences caused by the fact that the Eastern and Western cultures oppose on the directionality of writing and reading habits, and that the two hands are opposite in the directionality by adopting movements determined by biomechanical constraints. Likewise, this comparison allowed us to determine the relative strength of these two factors during development, when a conflict between the biomechanical constraints and cultural habits appears in the completion of a graphic task. The overall results show that the directionality can be considered as the product emerging from a complex interaction between these two types of influences. The writing habit is a determining factor when the task is performed with the right hand (dominant). But the cultural and educational factors can be modulated by the biomechanical factor when the subject uses the left hand (no dominant). This interaction varies by age of the subject.

L'intégration des nouveaux éléments basés sur la physique des plasmas dans le domaine des circuits et des systèmes micro-ondes est l'objectif de ce travail. En profitant des caractéristiques électromagnétiques des plasmas et en jouant sur leur architecture, on développe des micro-commutateurs micro-ondes et d'autres circuits radio et hyperfréquences en technologies microrubans ou en guide d'onde… La simulation de la propagation des ondes électromagnétiques dans un plasma et les études de l'interaction entre un plasma et les ondes électromagnétiques nécessite la connaissance des paramètres fondamentaux du plasma comme la permittivité. C'est pour cela qu'on étudie aussi les mesures plasmas par différents techniques comme la transmission/réflexion des ondes électromagnétiques, la perturbation des cavités résonnantes, ... Un schéma électrique équivalent modélisant un micro-commutateur hyperfréquence en plasma, est obtenu grâce aux mesures des courants de décharge électrique, à la rétro-simulation et aux techniques de modélisation numérique. Un coupleur directif hybride compact est utilisé pour les mesures plasmas en assurant la protection du matériel et de l'équipement de mesure des signaux d'un plasma. / Integration of new plasma-based elements for RF and microwave circuits and systems is the goal of this work. Taking advantage of electromagnetic characteristics of plasmas and playing on their architecture, we develop microwave micro-switches and other RF and microwave circuits by different technologies such as microstrip, waveguide circuits. The simulation of the propagation of electromagnetic waves in plasma and studying the interaction between plasma and electromagnetic waves require a pre-knowledge of its basic intrinsic parameters such as permittivity for that we also study measures and plasma different techniques like transmission/reflection of an electromagnetic waves, cavity perturbation technique... An equivalent electrical circuit modeling the plasma will be used for modeling microwave micro-switches. It is obtained by measurements of electric discharge currents, the reverse CAD simulation and numerical modeling techniques. A compact hybrid directional coupler is used to measure plasma and to protect test equipment from dangerous signals of the electrical discharge.

Made available in DSpace on 2015-05-14T12:14:00Z (GMT). No. of bitstreams: 1 parte1.pdf: 2310445 bytes, checksum: 3cfca25ce861a7301fea8d5aa8526310 (MD5) Previous issue date: 2011-02-28 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / In this work, we study the collective behaviour of living systems whose aggregates form organized groups such as flocks of birds, herds of mamals and schools of fishes. Through numerical simulations, we model the collective movement of a school of fishes using behavioural rules similar to the ones proposed by Couzin et al. [23], that investigates the spatial dynamics of animals groups. The model presents three interaction zones: repulsion, orientation and attraction. Our results for the distributions of nearest neighbour distance, the diference of orientation between the velocities of neighbour fishes and the cooperativeness of the school are in good agreement with experimental measurements. A simpler way to describe the collective motion of several groups of organisms was introduced by Vicsek et al. [10]. This model presents only one interaction region, called orientation zone and considers point particles moving off lattice at constant speed adjusting their direction of motion to that of the average velocity of their neighbors, being subject to some noisy term. A second-order transition between an ordered state and a disordered regime was found. However, Gregoire and Chate [12] contest the nature of such phase transition as being of first order. Indeed, this transition is related to the way of introducing the noise into the system. In this sense, we present a comparative study on noise in two system of self-propelled particle (Vicsek model and Gregoire model) with the aim of understanding the role of the noise on some observables such as polarization, distributions of the nearest neighbour distances, difference of orientations between neighbour particles, the order parameter and the Binder cumulant. / Neste trabalho, estudamos o comportamento coletivo de sistemas vivos cujos agregados formam grupos organizados tais como bandos de pássaros, rebanhos de mamíferos e cardumes de peixes. Através de simulações numéricas, modelamos o movimento coletivo de cardumes de peixes usando regras comportamentais similares áquelas propostas por Cousin et al.[23], que investigam a dinâmica espacial de grupos de animais. O modelo apresenta três zonas de interação: repulsão, orientação e atração. Nossos resultados para as distribuições das distâncias entre vizinhos mais próximos, a diferença de orientação entre as velocidades de peixes vizinhos e a cooperatividade do cardume estão de bom acordo com medidas experimentais. Uma maneira mais simples para descrever o movimento coletivo de vários grupos de organismos foi introduzido por Vicsek et al. [10]. Este modelo apresenta somente uma região de interação, chamada zona de orientação e considera partículas pontuais movendo na rede com uma velocidade constante ajustando sua direção de movimento à velocidade média de seus vizinhos, estando sujeita a algum termo ruidoso. Uma transição de segunda ordem entre um estado ordenado e um regime desordenado foi encontrado. Porém, Gregoire e Chaté [12] contestam a natureza da transição de fase como sendo de primeira ordem. Na verdade, está transição está relacionada à forma de introduzir o ruído no sistema. Neste sentido, apresentamos um estudo comparativo sobre o ruído em dois sistemas de partículas auto-propelidas (modelo de Vicsek e modelo de Gregoire) com o objetivo de compreender o papel do ruído em alguns observáveis tais como a polarização, distribuições das distâncias entre vizinhos mais próximos, diferença de orientação entre partículas vizinhas, o parâmetro de ordem e o cumulante de Binder.

Au cours des dernières années, le secteur touristique a été caractérisé par toute une série de changements fondamentaux. L’un de ces changements, certainement le plus important, a été le fait d’être considéré aujourd’hui comme l’activité productive capable de faire tourner l’économie d’un pays entier.Notre mémoire de recherche se situe à l’intersection de la terminologie thématique, de la linguistique de corpus et du traitement automatique des langues.Dans le premier chapitre du travail que nous allons présenter, nous chercherons à introduire aux domaines d’études théoriques sur lesquels notre recherche s’appuie.Premièrement, on traitera de la linguistique de corpus et on examinera les différentes catégories de corpus existantes. On mettra l’accent sur deux notions fondamentales dans la conception de l’outil corpus en général et dans la création de notre corpus en particulier : représentativité et contexte. Au sein du discours touristique, la représentativité, d’un côté, se relie au caractère spécial de notre micro-langue ; le contexte, de l’autre, révèle la pluralité des sous-domaines qui composent ce technolecte à mi-chemin entre la langue générale et la langue spécialisée.Dans le deuxième chapitre, nous présenterons le corpus thématique trilingue (CTT) que nous avons créé préalablement à la rédaction de la thèse proprement dite.Avant tout, on fournira les indications théoriques et pragmatiques nécessaires pour réaliser un corpus trilingue en langue de spécialité : la collecte des textes, l’homogénéisation des échantillons textuels repérés et l’annotation. Au cours de ce chapitre, nous présenterons Alinea, l’instrument qu’on a utilisé pour l’alignement de textes recueillis et pour la consultation simultanée des traductions trilingues. Dans le troisième et dernier chapitre, on passera à l’interrogation du corpus créé. Sur la base d’un terme pris comme exemple, le terme ville, on lancera la recherche dans le CTT. Ensuite, on analysera les collocations les plus usitées contenant le mot ville.En guise de conclusion de notre mémoire, nous présenterons une annexe consacrée à notre glossaire trilingue comme résultat de notre exploration de la chaîne terminologique qu’on aura analysée précédemment. Pour conclure, l’objectif général de notre étude sera d’explorer la chaîne de gestion terminologique à travers la création d’un glossaire trilingue dans le domaine du tourisme. Notre orientation méthodologique de caractère sémasiologique impliquera ainsi au moins quatre objectifs spécifiques :• créer un corpus trilingue du tourisme (CTT), capable d’attester des usages en contexte des termes.• extraire des termes en utilisant des techniques diverses, telle que l’étude fréquentielle des éléments du corpus.• vérifier les données obtenues et les compléter à l’aide de ressources externes.• répertorier et décrire l’ensemble des termes sous forme d’un glossaire trilingue à sujet touristique (GTT). / Our study concerns the language of tourism from a lexicographical perspective.Exploiting the web we realized a corpus ad hoc. This corpus is composed by about 10.000 texts in three languages (French, Italian and English), aligned using “Alinea”.Starting from terminological extraction, we analysed some collocations at the aim to create a trilingual and tri-directional glossary.We chose this subject according to the increasing importance taken from tourism economy in the world.Our study fields are thematic terminology, corpus linguistics and automatic language treatment.The first chapter presents the study field of our research. First of all, we introduced to corpus linguistics presenting the different categories of corpus and pointing out our attention on two main notions: representativeness and context.Therefore, we explained the link between Language for Special Purposes and tourism discourse as a Specialized Discourse.In the second chapter, we showed the trilingual thematic corpus we created during our researches. We described the main steps to create a corpus: collection of texts, cleaning and annotation.In this chapter, we gave a particular attention to the presentation of “Alinea”.Finally, the third chapter is a study of frequent collocations with the term “town” (ville).The annexes present the glossary as well as the methodological principals we followed in the redaction.

Submitted by Miriam Lucas (miriam.lucas@unioeste.br) on 2017-09-04T13:07:47Z No. of bitstreams: 2 Marcos_Tragueta_2017.pdf: 1953593 bytes, checksum: c89f1ba57bb6b1ba944410013aebbde7 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2017-09-04T13:07:47Z (GMT). No. of bitstreams: 2 Marcos_Tragueta_2017.pdf: 1953593 bytes, checksum: c89f1ba57bb6b1ba944410013aebbde7 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2017-05-05 / The insertion of distributed power sources of low power presents new challenges in the planning and operation of distribution systems. The coordination of the protection system is a challenge which modifies as the insertion of the distributed generation grows at any point in any system. In order to verify how the coordination is altered different indicators have been proposed in literature, seeking to express numerically the effect of this insertion on the pair of relays of a coordinated protection system. The Protection Coordination Index (PCI) and the Protection Miscoordination Index (PMI) are shown as valid indicators for this analysis. The purpose of this paper is to apply these quantifiers in the protection schemes of distribution lines of radial and grid systems that use Inverse Time Overcurrent Relays. By applying these indicators, it will be possible to judge if they will provide enough information to analyze the impact of GD insertion in the SDEE, otherwise, identify if there will be limitations which can be remedied by proposing new indicators. The new indicators proposed in this paper seek to cover the limitations observed, without necessarily using the same information. To achieve this goal, distributed generators will be connected at different points in the network, and its generation capacity will be changed in an increasing way; where for each insertion value and at each point of the system, the Coordination Time Intervals (CTI) between consecutive pairs of relays will be verified, and from these values, the quantitative indicators of the impact of the GD will be calculated. For this, a distribution grid system was modeled with a purpose of obtain the required quantities in the scaling of CT1s and relays, thus obtaining a selective coordinate operation, where for each primary relay there will be an extra relay, forming a protective pair. Next two protective systems were adjusted: one considering one-way relays and another, twoway relays. Finally, for the protection systems dimensioned and coordinated, the indexes found in the literature and the proposed indexes were calculated and compared to the same pair of relays, considering the same GD insertion value at different points of the system. Every indicator were valid to the quantification of the GD insertion impact in the protection schemes applied to SDEE, where IDP indicates a percentage of faults that will cause miscoordination, IDPP indicates the percentage of pairs of relays that will be miscoordinate for each fault, ICP shows wether the ITC variation will occur slowly or rapidly, where the faster variation will result in miscoordination rather than the slower one and ITC (%) imposes a restriction on ITC reduction indicating whether the insertion value will miscoordinate the pairs of relays analyzed through numerical values. / A inserção de fontes de energia distribuídas de baixa potência apresenta novos retos no planejamento e operação de sistemas de distribuição. Um reto é a coordenação do sistema de proteção que se altera a medida que a inserção de Geração Distribuída (GD) cresce em qualquer ponto de qualquer sistema. Para verificar como a coordenação é alterada, tem sido proposto, na literatura, diferentes indicadores que visam expressar numericamente qual é o efeito desta inserção nos pares de relés de um sistema de proteção coordenado. O Protection Coordination Index (PCI) e o Protection Miscoordination Index (PMI), se mostram como indicativos válidos para esta análise. O objetivo deste trabalho é aplicar estes quantificadores nos esquemas de proteção de linhas de distribuição de sistemas radiais e malhados que utilizem Relés de Sobrecorrente Direcionais de Tempo Inverso. Pela aplicação destes indicadores foi possível julgar se as informações obtidas são suficientes para a análise do impacto da inserção de GD nos SDEE, identificando o surgimento de limitações, sanadas pela proposição de novos indicadores. Para alcançar este objetivo, geradores distribuídos foram conectados em diferentes pontos da rede, e sua capacidade de geração foi alterada de forma crescente; onde para cada valor de inserção e em cada ponto do sistema, foram verificados os Intervalos de Tempo de Coordenação (ITC) entre pares de relés consecutivos, e a partir destes valores, os indicadores quantitativos do impacto da inserção de GD, calculados. Para isso, foi modelado um sistema de distribuição malhado, visando a obtenção das grandezas requeridas no dimensionamento dos TC's e relés, obtendo assim uma operação coordenada seletiva, onde para cada relé primário há pelo menos um de retaguarda, formando pares protetores. Em seguida dois sistemas de proteção foram ajustados: um considerando relés unidirecionais e outro, relés bidirecionais. Finalmente, para os sistemas de proteção dimensionados e coordenados, os índices encontrados na literatura e os índices propostos foram calculados e comparados para um mesmo par de relés, considerando um mesmo valor de inserção de GD em diferentes pontos do sistema. Todos os indicadores se mostraram válidos para a quantificação do impacto da inserção de GD nos esquemas de proteção aplicados a SDEE, onde IDP indica a porcentagem de faltas que irá ocasionar descoordenação, IDPP indica a porcentagem de pares de relés que irá se descoordenar para cada falta, ICP mostra se a variação de ITC ocorrerá de forma lenta ou rápida, onde a variação mais veloz resultará antes em descoordenação em relação à mais lenta e ITC (%) impõe uma restrição à redução de ITC indicando se o valor de inserção irá descoordenar os pares de relés analisados, através de valores numéricos.

Submitted by Neusa Fagundes (neusa.fagundes@unioeste.br) on 2018-06-18T14:36:28Z No. of bitstreams: 2 Daniela_Nava2018.pdf: 3424820 bytes, checksum: 89e78787f114c44f669182c6285080ae (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2018-06-18T14:36:28Z (GMT). No. of bitstreams: 2 Daniela_Nava2018.pdf: 3424820 bytes, checksum: 89e78787f114c44f669182c6285080ae (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2018-02-02 / This tesis aimed at studying spatial discrete distributions based on two different points of view, that are, spatial point processes and spatial correlated binomial distribution. The data set came from an experiment setted in an agricultural commercial area in Cascavel city Paraná State, cropped with corn. The experimental area was subdivided into 40 georeferenced patch of land and the number of plants infected by Spodoptera frugiperda was observed within each patch of land. Thus, it is assumed that the data set have a binomial distribution. A study of first order local influence was proposed in order to verify possible influential points. The results suggest that the presence of influential observations in the data set have changed the statistical inference, the predicted values and the respective maps. In a second study, our interest was the spatial distribution of the fall armyworm in the experimental area. In order to do that, we used spatial point processes, where each plant infected by the insect within the experimental area was considered as an event of interest. An anisotropy study was carried out using different point process techniques, such as K directional function and wavelet test. The results show that the spatial distribution of the fall armyworm follow a Poisson cluster process with an evident anisotropy, mainly due to the shape of the experimental area. / O objetivo deste trabalho foi discutir distribuições discretas espaciais utilizando pontos de vista distintos, a saber, processos pontuais espaciais e distribuição binomial para dados espacialmente correlacionados. Os dados utilizados são provenientes de um experimento agrícola implantado em uma área comercial agrícola no município de Cascavel, estado do Paraná, cultivada com a cultura do milho. Subdividiu-se a área experimental em 40 parcelas georeferenciadas e observou-se o número de plantas atacadas pela lagarta do cartucho, do total de plantas de cada parcela. Para tal, assumiu-se que os dados possuem distribuição binomial. Propôs-se um estudo de análise de influência local de primeira ordem com o interesse em verificar possíveis pontos influentes. Os resultados obtidos sugerem que a presença de observações influentes nos dados modificam a inferência estatística, os valores preditos e os respectivos mapas. Em um segundo estudo, que teve como interesse a distribuição espacial da lagarta do cartucho na área experimental, utilizou-se de ferramentais de estatística espacial pontual. Para tal, cada planta infectada pelo inseto dentro da área experimental foi considerada como um evento de interesse. Realizou-se um estudo de anisotropia a partir de diferentes técnicas de processos pontuais, como K direcional e teste de ondaletas. Os resultados mostraram que a distribuição espacial da lagarta segue um processo pontual de Poisson agrupado com evidente anisotropia principalmente devido à forma da área experimental.

Variational methods and Partial Differential Equations (PDEs) have been extensively employed for the mathematical formulation of a myriad of problems describing physical phenomena such as heat propagation, thermodynamic transformations and many more. In imaging, PDEs following variational principles are often considered. In their general form these models combine a regularisation and a data fitting term, balancing one against the other appropriately. Total variation (TV) regularisation is often used due to its edgepreserving and smoothing properties. In this thesis, we focus on the design of TV-based models for several different applications. We start considering PDE models encoding higher-order derivatives to overcome wellknown TV reconstruction drawbacks. Due to their high differential order and nonlinear nature, the computation of the numerical solution of these equations is often challenging. In this thesis, we propose directional splitting techniques and use Newton-type methods that despite these numerical hurdles render reliable and efficient computational schemes. Next, we discuss the problem of choosing the appropriate data fitting term in the case when multiple noise statistics in the data are present due, for instance, to different acquisition and transmission problems. We propose a novel variational model which encodes appropriately and consistently the different noise distributions in this case. Balancing the effect of the regularisation against the data fitting is also crucial. For this sake, we consider a learning approach which estimates the optimal ratio between the two by using training sets of examples via bilevel optimisation. Numerically, we use a combination of SemiSmooth (SSN) and quasi-Newton methods to solve the problem efficiently. Finally, we consider TV-based models in the framework of graphs for image segmentation problems. Here, spectral properties combined with matrix completion techniques are needed to overcome the computational limitations due to the large amount of image data. Further, a semi-supervised technique for the measurement of the segmented region by means of the Hough transform is proposed.

Abstract The use of 3D imaging of craniofacial soft tissue has increased in medical science, and imaging technology has been developed greatly in recent years. 3D models are quite accurate and with imaging devices based on stereophotogrammetry, capturing the data is a quick and easy operation for the subject. However, analyzing 3D models of the face or head can be challenging and there is a growing need for efficient quantitative methods. In this thesis, new mathematical methods and tools for measuring craniofacial structures are developed. The thesis is divided into three parts. In the first part, facial 3D data of Lithuanian twins are used for the determination of zygosity. Statistical pattern recognition methodology is used for classification and the results are compared with DNA testing. In the second part of the thesis, the distribution of surface normal vector directions of a 3D infant head model is used to analyze skull deformation. The level of flatness and asymmetry are quantified by functionals of the kernel density estimate of the normal vector directions. Using 3D models from infants at the age of three months and clinical ratings made by experts, this novel method is compared with some previously suggested approaches. The method is also applied to clinical longitudinal research in which 3D images from three different time points are analyzed to find the course of positional cranial deformation and associated risk factors. The final part of the thesis introduces a novel statistical scale space method, SphereSiZer, for exploring the structures of a probability density function defined on the unit sphere. The tools developed in the second part are used for the implementation of SphereSiZer. In SphereSiZer, the scale-dependent features of the density are visualized by projecting the statistically significant gradients onto a planar contour plot of the density function. The method is tested by analyzing samples of surface unit normal vector data of an infant head as well as data from generated simulated spherical densities. The results and examples of the study show that the proposed novel methods perform well. The methods can be extended and developed in further studies. Cranial and facial 3D models will offer many opportunities for the development of new and sophisticated analytical methods in the future. / Tiivistelmä Pään ja kasvojen pehmytkudoksen 3D-kuvantaminen on yleistynyt lääketieteessä, ja siihen tarvittava teknologia on kehittynyt huomattavasti viime vuosina. 3D-mallit ovat melko tarkkoja, ja kuvaus stereofotogrammetriaan perustuvalla laitteella on nopea ja helppo tilanne kuvattavalle. Kasvojen ja pään 3D-mallien analysointi voi kuitenkin olla haastavaa, ja tarve tehokkaille kvantitatiivisille menetelmille on kasvanut. Tässä väitöskirjassa kehitetään uusia matemaattisia kraniofakiaalisten rakenteiden mittausmenetelmiä ja -työkaluja. Työ on jaettu kolmeen osaan. Ensimmäisessä osassa pyritään määrittämään liettualaisten kaksosten tsygositeetti kasvojen 3D-datan perusteella. Luokituksessa hyödynnetään tilastollista hahmontunnistusta, ja tuloksia verrataan DNA-testituloksiin. Toisessa osassa analysoidaan pään epämuodostumia imeväisikäisten päiden 3D-kuvista laskettujen pintanormaalivektorien suuntiin perustuvan jakauman avulla. Tasaisuuden ja epäsymmetrian määrää mitataan normaalivektorien suuntakulmien ydinestimaatin funktionaalien avulla. Kehitettyä menetelmää verrataan joihinkin aiemmin ehdotettuihin lähestymistapoihin mittaamalla kolmen kuukauden ikäisten imeväisten 3D-malleja ja tarkastelemalla asiantuntijoiden tekemiä kliinisiä pisteytyksiä. Menetelmää sovelletaan myös kliiniseen pitkittäistutkimukseen, jossa tutkitaan pään epämuodostumien ja niihin liittyvien riskitekijöiden kehitystä kolmena eri ajankohtana otettujen 3D-kuvien perusteella. Viimeisessä osassa esitellään uusi tilastollinen skaala-avaruusmenetelmä SphereSiZer, jolla tutkitaan yksikköpallon tiheysfunktion rakenteita. Toisessa osassa kehitettyjä työkaluja sovelletaan SphereSiZerin toteutukseen. SphereSiZer-menetelmässä tiheysfunktion eri skaalojen piirteet visualisoidaan projisoimalla tilastollisesti merkitsevät gradientit tiheysfunktiota kuvaavalle isoviivakartalle. Menetelmää sovelletaan imeväisikäisen pään pintanormaalivektoridataan ja simuloituihin, pallotiheysfunktioihin perustuviin otoksiin. Tulosten ja esimerkkien perusteella väitöskirjassa esitetyt uudet menetelmät toimivat hyvin. Menetelmiä voidaan myös kehittää edelleen ja laajentaa jatkotutkimuksissa. Pään ja kasvojen 3D-mallit tarjoavat paljon mahdollisuuksia uusien ja laadukkaiden analyysityökalujen kehitykseen myöhemmissä tutkimuksissa.