L’augmentation de la puissance graphique des ordinateurs grands publics entraîne avec elle une demande croissante de qualité et de complexité des scènes virtuelles. La gestion de cette complexité est particulièrement difficile pour les objets naturels tels les arbres et les champs d’herbe ou encore pour les animaux, pour lesquels de très nombreux petits objets très similaires viennent décorer les surfaces. La diversité de ces détails de surfaces, nécessaire à un rendu réaliste dans le cas des objets naturels, se traduit par une augmentation du temps de modélisation, du coût en stockage et de la complexité d’évaluation. Nous nous sommes intéressés aux différentes représentations et méthodes de génération à la volée pouvant être utilisées pour la création et le rendu temps réel de ces détails sur de vastes surfaces. Nous avons concentré notre étude sur le cas particulier des champs d’herbe et des fourrures : De nombreux brins quasi-similaires, distribués aléatoirement sur la surface, forment une apparence visuelle très proche d’un motif de bruit incluant des éléments de structure. Nous présentons dans un premier temps un bruit procédural axé sur la modélisation spatiale interactive d’éléments quasi-similaires et de leur distribution. L’utilisation de fonctions gaussiennes elliptiques comme primitive de modélisation, et la distribution non-uniforme contrôlée des éléments créés, permet de produire des motifs aléatoires ou quasi-réguliers incluant des caractéristiques structurelles. Une méthode d’analyse par décomposition en ellipses permet de préconfigurer ce bruit pour une reproduction rapide d’un motif donné. Nous présentons ensuite une extension de ce bruit pour la modélisation procédurale d’une surcouche volumique composée de détails de surfaces tels que des brins ou des objets volumiques plus complexes. Pour conserver une modélisation interactive du motif, une première méthode de rendu d’ordre image et une seconde méthode d’ordre objet sont proposées pour une évaluation optimisée du bruit par une carte graphique. Ces deux méthodes permettent une visualisation interactive et visuellement convaincante du résultat. / The growing power of graphics processing units (GPU) in mainstream computers creates a need for a higher quality and complexity of virtual scenes. Managing this complexity for natural objects such as trees or grass fields or even animals is painstaking, due to the large amount of small objects decorating their surface. The diversity of such details, mandatory for realistic rendering of natural objects, translates in a longer authoring time, a higher memory requirement and a more complex evaluation. We review in this thesis the related works on data representations and on-the-fly generation methods used for the creation and real-time rendering of details over large surfaces. We focus our study on the particular case of grass fields and fur : the fuzzy visual appearance of those surfaces is obtained by the distribution of many self-similar blades or strands, creating a pattern closely related to a noise with structural features. We first present a procedural noise that aims at spatial modeling of self-similar elements and their distribution. The elliptical Gaussian function used as a modeling primitive and the controlled non-uniform distribution of elements allows for various type of patterns to be modeled, from stochastic to near-regular one, while including structural features. The by-example analysis process based on an ellipse fitting method allows a fast configuration of the noise for patterns reproduction. We further introduce an extension of this noise model for the authoring of procedural shell textures of strand-based or more complex volumetric details. For interactive authoring of such volumetric pattern, an image-order and an object-order rendering methods are proposed, both methods being optimized for an implementation on the GPU. Our rendering methods allow for interactive visualization of a visually-convincing result.

In computer graphics, textures are used to create detail along geometric surfaces. They are less computationally expensive than geometry, but this efficiency is traded for greater memory demands, especially with large output resolutions. Research has shown, that textures can be synthesized from low-resolution exemplars, reducing overall runtime memory cost and enabling applications, like remixing existing textures to create new, visually similar representations. In many modern applications, textures are not limited to simple images, but rather represent geometric detail in different ways, that describe how lights interacts at a certain point on a surface. Physically Based Rendering (PBR) is a technique, that employs complex lighting models to create effects like self-shadowing, realistic reflections or subsurface scattering. A set of multiple textures is used to describe what is called a material. In this thesis, example-based texture synthesis is extented to physical lighting models to create a physically based material synthesizer. It introduces a framework that is capable of utilizing multiple texture maps to synthesize new representations from existing material exemplars. The framework is then tested with multiple exemplars from different texture categories, to prospect synthesis performance in terms of quality and computation time. The synthesizer works in uv space, enabling to re-use the same exemplar material at runtime with different uv maps, reducing memory cost, whilst increasing visual varienty and minimizing repetition artifacts. The thesis shows, that this can be done effectively, without introducing inconsitencies like seams or discontiuities under dynamic lighting scenarios.:1. Context and Motivation 2. Introduction 2.1. Terminology: What is a Texture? 2.1.1. Classifying Textures 2.1.2. Characteristics and Appearance 2.1.3. Advanced Analysis 2.2. Texture Representation 2.2.1. Is there a theoretical Limit for Texture Resolution? 2.3. Texture Authoring 2.3.1. Texture Generation from Photographs 2.3.2. Computer-Aided Texture Generation 2.4. Introduction to Physically Based Rendering 2.4.1. Empirical Shading and Lighting Models 2.4.2. The Bi-Directional Reflectance Distribution Function (BRDF) 2.4.3. Typical Texture Representations for Physically Based Models 3. A brief History of Texture Synthesis 3.1. Algorithm Categories and their Developments 3.1.1. Pixel-based Texture Synthesis 3.1.2. Patch-based Texture Synthesis 3.1.3. Texture Optimization 3.1.4. Neural Network Texture Synthesis 3.2. The Purpose of example-based Texture Synthesis Algorithms 4. Framework Design 4.1. Dividing Synthesis into subsequent Stages 4.2. Analysis Stage 4.2.1. Search Space 4.2.2. Guidance Channel Extraction 4.3. Synthesis Stage 4.3.1. Synthesis by Neighborhood Matching 4.3.2. Validation 5. Implementation 5.1. Modules and Components 5.2. Image Processing 5.2.1. Image Representation 5.2.2. Filters and Guidance Channel Extraction 5.2.3. Search Space and Descriptors 5.2.4. Neighborhood Search 5.3. Implementing Synthesizers 5.3.1. Unified Synthesis Interface 5.3.2. Appearance Space Synthesis: A Hierarchical, Parallel, Per-Pixel Synthesizer 5.3.3. (Near-) Regular Texture Synthesis 5.3.4. Extented Appearance Space: A Physical Material Synthesizer 5.4. Persistence 5.4.1. Codecs 5.4.2. Assets 5.5. Command Line Sandbox 5.5.1. Providing Texture Images and Material Dictionaries 6. Experiments and Results 6.1. Test Setup 6.1.1. Metrics 6.1.2. Result Visualization 6.1.3. Limitations and Conventions 6.2. Experiment 1: Analysis Stage Performance 6.2.1. Influence of Exemplar Resolution 6.2.2. Influence of Exemplar Maps 6.3. Experiment 2: Synthesis Performance 6.3.1. Influence of Exemplar Resolution 6.3.2. Influence of Exemplar Maps 6.3.3. Influence of Sample Resolution 6.4. Experiment 3: Synthesis Quality 6.4.1. Influence of Per-Level Jitter 6.4.2. Influence of Exemplar Maps and Map Weights 7. Discussion and Outlook 7.1. Contributions 7.2. Further Improvements and Research 7.2.1. Performance Improvements 7.2.2. Quality Improvements 7.2.3. Methology 7.2.4. Further Problem Fields

Magmatic processes are major agents responsible for the formation and differentiation of the Earth's crust. In contrast to extensive efforts to improve understanding and utility of igneous geochemistry, physical processes of magma differentiation and solidification remain largely unclear. Large variability of igneous textures provides record of these processes and intensive parameters governing the crystallization. In this thesis, we develop quantitative methods, which allow us to better interpret igneous textures in the framework of physics of solidification. We have developed a new three-dimensional model of crystallization from one- component melt driven by homogeneous and heterogeneous nucleation and crystal growth. The predicted textures are quantitatively characterized by crystal size distributions, spatial distribution functions and parameters representing grain contact relationships. The model employs high resolution in a large volume simulation domain in order to produce statistically stable results. Our simulations, performed for various functional forms of nucleation and growth rates with respect to time, imply that (i) crystals are ordered (anti-clustered) on short length scales. This reflects that other crystals already have a finite size at the time of nucleation of younger crystal,...

Chiral magnets such as MnSi, FeGe or Cu2OSeO3 exhibit a non-centrosymmetric lattice structure which lacks inversion symmetry. The resulting Dzyaloshinskii-Moriya interaction originating from weak spin-orbit coupling stabilizes smooth modulated magnetic textures, namely helices and skyrmions. In this thesis, we study the properties of helimagnets which are systems with a magnetic helix as ground state. First, we examine the consequences of the helical texture for spin wave excitations, so-called helimagnons. We investigate magnon-focusing effects, i.e. magnon flow in very specific directions, which result from flat bands occurring in the helimagnon band structure when the momentum component perpendicular to the helix axis is large. We show that the softness of the Goldstone mode leads to a large dissipation even at very small frequencies cut off only by magnetocrystalline anisotropies or by a magnetic field. Finally, we discuss that dipolar interactions induce non-reciprocal behavior of the spectrum at finite fields and momenta, i.e. the spectrum is not symmetric under reversing the momentum anymore. We calculate the Brillouin light scattering cross section and compare it to experimental results obtained by N. Ogawa [1]. Then, we consider reorientation processes of the helix axis due to an applied magnetic field. We compare the results to magnetic force microscopy measurements in Cu2OSeO3 performed by P. Milde et al. [2]. Afterwards, we point out that the skyrmion lattice orientation has singular points, i.e. points where the orientation is not determined, as a function of the magnetic field direction which is a consequence of the Poincaré-Hopf theorem. Afterwards, we turn to excitations in the form of the basic defects in helimagnets: disclinations and dislocations. Due to the lamellar nature of the helimagnetic texture, analogies to liquid crystals can often be used. We present an analytic parameterization of dislocations transferred from smectic liquid crystals and illustrate that dislocations carry a topological skyrmion charge. We examine dislocation motion in the presence of weak pinning due to random impurities. We derive a Thiele-Langevin equation for the dislocation position which effectively describes one dimensional motion. When reducing the system to two dimensions, this reveals ultra slow anomalous Sinai diffusion which may explain the very long time scales observed in several experiments [3,4]. Eventually, we present our work on domain walls in helimagnets. In magnetic force microscopy experiments performed by P. Schoenherr [5], we have identified three domain wall types. At small angles between the two domains, curvature walls appear. At intermediate angles, one can observe zig-zag disclination walls and at large angles, dislocation walls occur. We present analytical descriptions for curvature and dislocation walls, which we compare to micromagnetic simulation results obtained by J. Masell [5], and comment on the non-trivial topology of helimagnetic domain walls. [1] N. Ogawa, L. Köhler, M. Garst, S. Toyoda, S. Seki, and Y. Tokura, In preparation (2019). [2] P. Milde, E. Neuber, P. Ritzinger, L. Köhler, M. Garst, A. Bauer, C. Pfleiderer, H. Berger, and L. M. Eng, In preparation (2019). [3] A. Dussaux, P. Schoenherr, K. Koumpouras, J. Chico, K. Chang, L. Lorenzelli, N. Kanazawa, Y. Tokura, M. Garst, A. Bergman, C. L. Degen, and D. Meier, Nature Communications 7, 12430 (2016). [4] A. Bauer, A. Chacon, M. Wagner, M. Halder, R. Georgii, A. Rosch, C. Pfleiderer, and M. Garst, Physical Review B 95, 024429 (2017). [5] P. Schoenherr, J. Müller, L. Köhler, A. Rosch, N. Kanazawa, Y. Tokura, M. Garst, and D. Meier, Nature Physics 14, 465 (2018).:Introduction 1. Introduction to chiral magnets 1.1. Helimagnets 1.1.1. Magnetic phase diagram of chiral magnets 1.2. Skyrmions 1.2.1. Topology 1.2.2. Magnetic skyrmions 1.2.3. Skyrmion motion 1.2.4. Emergent electrodynamics 1.3. Model for chiral magnets 2. Spin waves in helimagnets 2.1. Linear spin wave theory for helimagnons 2.1.1. Fluctuations in the harmonic approximation 2.1.2. Spectrum at small momenta and fields 2.1.3. Frequency broadening from Gilbert damping 2.2. Magnon-focusing effects 2.3. Enhanced local dissipation 2.3.1. Global static susceptibility in the limit k, k' → 0 2.3.2. Local damping 2.4. Non-reciprocity 2.4.1. Non-reciprocity of the spectrum 2.4.2. Brillouin light scattering cross section 3. Orientation of magnetic order 3.1. Helix reorientation transition in MnSi 3.1.1. Effective Landau potential for the helix pitch 3.1.2. Experimental results 3.2. Helix reorientation in Cu2OSeO3 3.3. Skyrmion lattice orientation 4. Disclinations and dislocations 4.1. Liquid crystals 4.1.1. Types of liquid crystals 4.1.2. Energetics of liquid crystals 4.2. Disclinations 4.2.1. Elasticity theory for disclinations 4.3. Dislocations 4.3.1. Volterra process and Burgers vector 4.3.2. Elasticity theory for dislocations 4.3.3. Mermin-Ho relation in helimagnets 4.3.4. Topological skyrmion charge 5. Dislocation motion 5.1. Thiele approach for one helimagnetic dislocation 5.1.1. Motion in the presence of pinning 5.1.2. Corrections from elastic deformations 5.2. Dislocation diffusion 5.2.1. Sinai diffusion and toy model simulations 5.2.2. Susceptibility with Sinai diffusion 5.2.3. Dislocation string 6. Domain walls 6.1. Experimental and numerical methods 6.2. Domain wall types in helimagnets 6.3. Energetics of helimagnetic domain walls 6.3.1. Curvature wall 6.3.2. Dislocation wall 6.4. Topological domain wall structures 7. Discussion and outlook Appendix A. Details on helimagnons B. Formalism of linear-spin wave theory in helimagnets C. Deviations from the helix Bibliography List of Figures Index Danksagung

Aim of this project is to evaluate effectivity of various texture features within the context of image processing, particulary the task of texture recognition and classification. My work focuses on comparing and discussion of usage and efficiency of texture features based on local binary patterns and co- ccurence matrices. As classification algorithm is concerned, cluster analysis was choosen.

Manganese-based Heusler compounds display intriguing fundamental physical properties, determined by the delicate balance of magnetic interactions that give rise to real and reciprocal-space topology, sparking the interest in their potential application in the spin-based technology of the future. In this thesis, a thorough study of thin films of two Mn-based Heusler compounds, the hexagonal MnPtGa and inverse tetragonal Mn2Rh(1-x)Ir(x)Sn (0 < x < 0.4) system, was performed. The observation of Néel-type skyrmions in single-crystalline MnPtGa motivated our interest in the growth and characterization of thin films of this compound. The films were deposited by magnetron sputtering on (0001)-Al2O3 single crystalline substrates, achieving the epitaxial growth of the Ni2In-type hexagonal crystal structure (P6_3/mmc space group, no. 194). Two thermally-induced magnetic transitions were identified in MnPtGa thin films: below the ordering temperature (T_C=273 K) the system becomes ferromagnetic, followed by a spin-reorientation transition at T_sr=160 K, adopting a spin-canted magnetic structure. Resorting to single-crystal neutron diffraction (SCND), we were able to resolve the magnetic ground state of our MnPtGa thin films. The Mn magnetic moments were found to tilt 20 degrees away from the c-axis, forming a commensurate magnetic structure with a ferromagnetic component along the crystallographic c-axis and a staggered antiferromagnetic one in the basal plane. This further demonstrated the applicability of a bulk technique, such as SCND, to the study of magnetic structures in thin films. Additionally, the perpendicular magnetic anisotropy (PMA) in the system was determined by magnetometry technique. Electrical magnetotransport measurements were performed in a thickness series of MnPtGa thin films. A non-monotonous anomalous Hall conductivity (AHC) was observed, whose intrinsic Berry-curvature origin was elucidated by means of first-principle calculations. We further observed by magnetic force microscopy technique the nucleation of irregular magnetic bubbles under the application of a magnetic field. We tentatively link their appearance to the onset of an additional electron scattering mechanism contributing to the transverse resistivity. In the second part of this thesis, the inverse tetragonal Mn2Rh(1-x)Ir(x)Sn (0 < x < 0.4) system was investigated. The films were grown on MgO(100) single crystalline substrates, promoting the epitaxial growth of the tetragonal structure (I-4m2 space group, no. 119). We primarily focused on the impact of the systematic substitution of iridium on the structural, magnetic and electrical (magneto)transport properties of the system. A compression of the basal lattice parameters and elongation of the c-axis, accompanied by larger crystallographic disorder, was observed as the Ir content (x) increased, altering the Mn-Mn exchange interactions and therefore the magnetic properties of the compound. Mn2RhSn have two thermally-induced magnetic transitions: first, to a collinear ferrimagnetic state below the Curie temperature (T_C=280 K), followed by a spin-reorientation transition at T_sr=80 K to a noncollinear state, determined by two inequivalent Mn sublattices. A reduction of both T_C and T_sr was observed, as well as a tendency towards a hard-axis ferromagnet and therefore larger PMA as the Ir content of the films was increased. Additionally, a reduction of the saturation magnetization suggest a change of the magnitude of the spin canting upon Ir-substitution. The electrical magnetotransport properties of the Mn2Rh(1-x)Ir(x)Sn (0 < x < 0.4) thin films were acquired and analyzed in a wide temperature and magnetic field range. A strongly temperature and composition dependent non-monotonous AHC was found, suggesting two regimes in the electronic transport: (i) a nearly x-independent regime dominated by intrinsic Berry-curvature and (ii) a strongly x-dependent regime suggesting a more relevant role from extrinsic mechanisms contributing to the AHC. On the other hand, the Mn2Rh(0.95)Ir(0.05)Sn bulk system is known to host magnetic skyrmion and antiskyrmion phases. We indirectly assessed the impact of the systematic Ir-substitution on the (anti)skyrmionic phases through the analysis of the sign of the topological Hall effect in our thin films. A tendency towards the suppression of the low-T skyrmion phase stabilized by magnetic dipole-dipole interaction, and subsistence of the high-T antiskyrmion phase in Mn2Rh(1-x)Ir(x)Sn thin films was found as x > 0.2, which can be interpreted as a change of magnitude of the anisotropic DMI in this tetragonal D_2d system upon Ir-substitution. We have thus demonstrated that the magnetic and topological properties of the Mn2Rh(1-x)Ir(x)Sn system can be tailored upon chemical substitution, showing a strongly intertwined relation between composition, crystal and electronic structure, with the emergence of exotic magnetic phases, ultimately reflected in their electrical transport signatures.:Abstract iii Abbreviations iv Symbols vi Preface xii 1 Fundamentals 1 1.1 Noncollinear magnetism . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.1 Magnetic interactions in solids . . . . . . . . . . . . . . . . . . . 2 1.1.1.1 Exchange interaction . . . . . . . . . . . . . . . . . . . 2 1.1.1.2 Dzyaloshinsky-Moriya interaction . . . . . . . . . . . . 3 1.1.1.3 Magnetic anisotropy . . . . . . . . . . . . . . . . . . . 4 1.1.1.4 Magnetic dipolar interaction . . . . . . . . . . . . . . . 5 1.1.2 Spin-reorientation transition . . . . . . . . . . . . . . . . . . . . 5 1.1.3 Magnetic skyrmions and antiskyrmions . . . . . . . . . . . . . . 6 1.1.3.1 Antiskyrmions in Heusler compounds . . . . . . . . . . 8 1.2 Magnetic Heusler compounds . . . . . . . . . . . . . . . . . . . . . . . 9 1.2.1 Cubic crystal structure . . . . . . . . . . . . . . . . . . . . . . . 10 1.2.2 Distorted crystal structures . . . . . . . . . . . . . . . . . . . . 10 1.2.2.1 Tetragonal Heusler compounds . . . . . . . . . . . . . 11 1.2.2.2 Hexagonal Heusler compounds . . . . . . . . . . . . . 11 1.3 Charge and spin transport in ferromagnets . . . . . . . . . . . . . . . . 13 1.3.1 The two-current model . . . . . . . . . . . . . . . . . . . . . . . 13 1.3.2 The Hall effect . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.3.2.1 Anomalous Hall effect . . . . . . . . . . . . . . . . . . 15 1.3.2.2 Topological Hall effect . . . . . . . . . . . . . . . . . . 17 1.4 Neutron scattering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 1.4.1 Thermal Neutrons . . . . . . . . . . . . . . . . . . . . . . . . . 18 1.4.1.1 Scattering cross sections . . . . . . . . . . . . . . . . . 19 1.4.1.2 The four-circle diffractometer . . . . . . . . . . . . . . 23 xv 1.4.2 Magnetic neutron scattering . . . . . . . . . . . . . . . . . . . . 24 2 Experimental Techniques 29 2.1 Magnetron sputtering . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 2.1.1 Thin films growth modes . . . . . . . . . . . . . . . . . . . . . . 32 2.1.2 Thin films microstructure . . . . . . . . . . . . . . . . . . . . . 33 2.2 X-ray characterization of thin films . . . . . . . . . . . . . . . . . . . . 34 2.2.1 Geometry of the X-ray diffractometer . . . . . . . . . . . . . . . 35 2.2.2 Radial θ-2θ scan . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2.2.3 ϕ -scans . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2.2.4 Rocking curves (ω-scans) . . . . . . . . . . . . . . . . . . . . . . 36 2.2.5 X-ray reflectivity (XRR) . . . . . . . . . . . . . . . . . . . . . . 37 2.3 Composition analysis: energy dispersive X-ray spectroscopy (EDS) . . . 38 2.4 Surface characterization: atomic and magnetic force microscopy . . . . 38 2.5 D10 thermal neutron diffractometer . . . . . . . . . . . . . . . . . . . . 39 2.6 SQUID-VSM magnetometry . . . . . . . . . . . . . . . . . . . . . . . . 40 2.7 Electrical (magneto-)transport measurements . . . . . . . . . . . . . . 41 3 Noncollinear magnetism in MnPtGa epitaxial thin films 43 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 3.2 MnPtGa thin films: growth and characterization . . . . . . . . . . . . . 45 3.2.1 Growth conditions . . . . . . . . . . . . . . . . . . . . . . . . . 45 3.2.2 Crystal structure . . . . . . . . . . . . . . . . . . . . . . . . . . 46 3.3 Magnetic properties of MnPtGa thin films . . . . . . . . . . . . . . . . 49 3.3.1 Thermal evolution of the magnetic structure . . . . . . . . . . . 49 3.3.2 Field dependent magnetization . . . . . . . . . . . . . . . . . . 50 3.3.3 Single-crystal neutron diffraction in MnPtGa thin films . . . . . 52 3.3.3.1 Ferromagnetic phase . . . . . . . . . . . . . . . . . . . 54 3.3.3.2 Noncollinear phase . . . . . . . . . . . . . . . . . . . . 55 3.4 Electronic band structure of h-MnPtGa . . . . . . . . . . . . . . . . . . 57 3.5 Electrical magnetotransport properties of MnPtGa thin films . . . . . . 59 3.5.1 Zero field longitudinal resistivity . . . . . . . . . . . . . . . . . . 60 3.5.2 Magnetoresistance . . . . . . . . . . . . . . . . . . . . . . . . . 62 3.5.3 Magnetic transitions under a magnetic field . . . . . . . . . . . 64 3.6 Intrinsic origin of the anomalous Hall effect . . . . . . . . . . . . . . . . 65 3.6.1 Scaling of the anomalous Hall conductivity vs. σxx . . . . . . . 68 3.7 Spin textures in MnPtGa thin films . . . . . . . . . . . . . . . . . . . . 73 3.8 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 4 Tuning the magnetic and topological properties of Mn2Rh1−xIrxSn epitaxial thin films 83 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 4.2 Growth and characterization of Mn2Rh1−xIrxSn thin films . . . . . . . 86 4.2.1 Growth conditions and Ir substitution . . . . . . . . . . . . . . 86 4.2.2 Crystal structure of Mn2Rh1−xIrxSn . . . . . . . . . . . . . . . . 87 4.3 Tuning the magnetic properties of the Mn2Rh1−xIrxSn system . . . . . 91 xvi 4.3.1 Thermal magnetic transitions . . . . . . . . . . . . . . . . . . . 91 4.3.2 Increasing the magnetic anisotropy under Ir-substitution . . . . 92 4.4 Electrical (magneto-)transport properties of Mn2Rh1−xIrxSn thin films 94 4.4.1 Zero-field longitudinal resistivity and spin reorientation transition 94 4.4.2 Magnetoresistance . . . . . . . . . . . . . . . . . . . . . . . . . 95 4.4.3 Hall effects: from ordinary to anomalous & topological . . . . . 96 4.4.3.1 Ordinary Hall effect . . . . . . . . . . . . . . . . . . . 97 4.4.3.2 Anomalous Hall effect . . . . . . . . . . . . . . . . . . 98 4.4.3.3 Competing mechanisms in the AHC of the Mn2Rh1−xIrxSn system . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 4.4.3.4 Scaling of the AHC with the magnetization . . . . . . 101 4.4.3.5 Topological Hall effect . . . . . . . . . . . . . . . . . . 102 4.5 Tuning the (Anti-)Skyrmion phases . . . . . . . . . . . . . . . . . . . . 106 4.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 5 Conclusions & Outlook 111 List of Figures 117 List of Tables 120 List of Publications 124 Aknowledgements 124 Bibliography 127 Eigenständigkeitserklärung 147

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The Song of the Vineyard, Isaiah 5:1-7, portrays YHWH as a vinedresser who has carefully prepared land and planted a choice vine, a symbol of the people whom the deity has chosen. When the reasonable expectation that the vine produce good fruit is thwarted, the vinedresser destroys the vineyard. YHWH, the vinedresser, may seem to be characterised by these actions as a demanding god who will swiftly and harshly recompense any failure to meet expectations. This thesis poses the hypothesis that although this brief song may at first seemingly present a monochromatic characterisation of YHWH, it may actually present a spectrum of characterisations when viewed through multiple interpretive lenses. Socio-rhetorical criticism is the methodology used to examine this hypothesis. This methodology, developed by Vernon K. Robbins, encompasses diverse interpretive approaches, examining five aspects, or “textures,” of the text to obtain a broad interpretive spectrum. In this thesis, three of the textures, innertexture, intertexture, and socio-cultural texture, are considered in separate chapters. The chapter on innertexture examines the world of the text itself, in particular its progressive nature and emotive content. The next chapter examines the intertextural relationship between this Isaian song and two other ancient songs (The Song of the Reed Sea and the Song of Moses), associative references to Sodom, and parallels with the Song of Solomon. The chapter on the socio-cultural texture examines the portrayal of YHWH in light of the socio-economics and socio-cultural values of the world of the story, eighth century B.C.E. Judah. Through this interpretive lense, YHWH is seen as a patron or benefactor who has been dishonoured by his people. In socio-rhetorical criticism, ideology is often presented as a separate texture; in this thesis, it is considered as part of the act of interpretation of all textures, since readers’ ideologies interact with the text. The sacred texture, the last of Robbins’ proposed textures, is presented as the conclusion, with a summary of the spectrum of characterisations of YHWH that the multi-lensed interpretive approach uncovers. The conclusion also includes suggested implications of these finds for the community of faith. / Old Testament & Ancient Near Eastern Studies / D. Litt. et Phil. (Biblical Studies)

Nous présentons une nouvelle approche pour la modélisation d'objets 3D de haute qualité à partir de séquences d'images en rotation partiellement calibrées. L'algorithme est capable: de calibrer la caméra (la pose et la longueur focale), de reconstruire la géométrie 3D et de créer une carte de texture. Par rapport à d'autres méthodes plus classiques, le calibrage est réalisé à partir d'un ensemble de silhouettes comme seule source d'information. Nous développons le concept de cohérence d'un ensemble de silhouettes généré par un objet 3D. Nous discutons d'abord la notion de cohérence de silhouettes et définissons un critère pratique pour l'estimer. Ce critère dépend à la fois des silhouettes et des paramètres des caméras qui les ont générées. Ces paramètres peuvent être estimés pour le problème de modélisation 3D en maximisant la cohérence globale des silhouettes. La méthode de reconstruction 3D est fondée sur l'utilisation d'un modèle déformable classique, qui définit le cadre dans lequel nous pouvons fusionner l'information de la texture et des silhouettes pour reconstruire la géométrie 3D. Cette fusion est accomplie en définissant deux forces basées sur les images: une force définie par la texture et une autre définie par les silhouettes. La force de texture est calculée en deux étapes: une approche corrélation multi-stéréo par décision majoritaire, et une étape de diffusion du vecteur gradient (GVF). En raison de la haute résolution de l'approche par décision majoritaire, une version multi-résolution du GVF a été développée. En ce qui concerne la force des silhouettes, une nouvelle formulation de la contrainte des silhouettes est dérivée. Elle fournit une manière robuste d'intégrer les silhouettes dans l'évolution du modèle déformable. A la fin de l'évolution, cette force fixe les contours générateurs du modèle 3D. Finalement, une carte de texture est calculée à partir des images originales et du modèle 3D reconstruit.

Les carottes, extraites lors des forages de puits de pétrole, font partie des éléments les plus importants dans la chaîne de caractérisation de réservoir. L’acquisition de celles-ci à travers un scanner médical permet d’étudier de façon plus fine les variations des types de dépôts. Le but de cette thèse est d’établir les liens entre les imageries scanners 3D de carottes, et les différentes propriétés pétrophysiques et géologiques. Pour cela la phase de modélisation des images, et plus particulièrement des textures, est très importante et doit fournir des descripteurs extraits qui présentent un assez haut degrés de confiance. Une des solutions envisagée pour la recherche de descripteurs a été l’étude des méthodes paramétriques permettant de valider l’analyse faite sur les textures par un processus de synthèse. Bien que ceci ne représente pas une preuve pour un lien bijectif entre textures et paramètres, cela garantit cependant au moins une confiance en ces éléments. Dans cette thèse nous présentons des méthodes et algorithmes développés pour atteindre les objectifs suivants : 1. Mettre en évidence les zones d’homogénéités sur les zones carottées. Cela se fait de façon automatique à travers de la classification et de l’apprentissage basés sur les paramètres texturaux extraits. 2. Établir les liens existants entre images scanners et les propriétés pétrophysiques de la roche. Ceci se fait par prédiction de propriétés pétrophysiques basées sur l’apprentissage des textures et des calibrations grâce aux données réelles. . / Cores extracted, during wells drilling, are essential data for reservoirs characterization. A medical scanner is used for their acquisition. This feature provide high resolution images improving the capacity of interpretation. The main goal of the thesis is to establish links between these images and petrophysical data. Then parametric texture modelling can be used to achieve this goal and should provide reliable set of descriptors. A possible solution is to focus on parametric methods allowing synthesis. Even though, this method is not a proven mathematically, it provides high confidence on set of descriptors and allows interpretation into synthetic textures. In this thesis methods and algorithms were developed to achieve the following goals : 1. Segment main representative texture zones on cores. This is achieved automatically through learning and classifying textures based on parametric model. 2. Find links between scanner images and petrophysical parameters. This is achieved though calibrating and predicting petrophysical data with images (Supervised Learning Process).