<p>Steady-state sound fields in enclosures, with specular and diffuse reflection boundaries, are modeled with a first-principle energy-intensity boundary element method using uncorrelated broadband directional sources. The specular reflection field is represented by a limited set of spherical harmonics that are orthogonal on the half-space. The amplitudes of these harmonics are determined by a Lagrange multiplier method to satisfy the energy conservation integral constraint. The computational problem is solved using an iterative relaxation method starting from the 3-D diffuse reflection solution. At each iteration, directivity harmonics are estimated by post-processing and the influence matrix is refined accordingly. For internal sources, simple first reflection images improve accuracy with virtually no penalty on computation time. Monotonic convergence occurs in relatively few relaxation steps. Extrapolating to an infinite number of boundary elements and iterations gives very accurate results. The method is very computationally efficient. Results are compared to exact benchmark solutions obtained from a frequency-by-frequency modal analysis, and a broadband image method, demonstrating high accuracy. The method of absorption scaling is verified for complicated 3-D cases, and showing that the spatial variation in rooms is largely determined by source position and the relative distribution of absorption, but not the overall absorption level.</p> / Dissertation

The thesis presented is an effort to gather all possible information of one particular type of common paint defect the seed defect, from gray scale images of highly specular painted surface. The proposed approach in the thesis utilizes a white light source to illuminate the surface and utilizes a camera to capture its gray scale image at different diffused angles. While attempting to explain the physics of highlight formation in terms of location on the surface of a seed defect, the thesis also extends to utilize this information from gray scale images to accurately predict the parameters of seed defects including the height, size and position in real time. Since the primary highlight in a gray scale image is more defined, contrary to the past researches on diffuse angle images that use both primary / seed highlight and mirror highlight to estimate height of the seed, this thesis formulates a theory of highlight translation and estimates the height of seed based on primary / seed highlight. The other common type of surface defect - crater defect, is also addressed in the thesis.

Το αντικείμενο αυτής της διπλωματικής εργασίας είναι ο διαχωρισμός των δύο κυρίαρχων συνιστωσών ανάκλσης (κατοπτρικής και διάχυτης) που οφείλονται κυρίαρχα σε επιφάνειες διηλεκτρικών υλικών. Οι κατοπτρικές ανακλάσεις αποτελούν σημαντικό πρόβλημα για πολλούς αλγορίθμους στο πεδίο της "τεχνητής όρασης" όπως στην κατάτμηση εικόνας. Μετά την ανάλυση του προβλήματος και μία εισαγωγή στη χρωματομετρία και στην πόλωση ακολουθεί μία περιγραφή δημοφιλών μεθόδων που έχουν προηγηθεί πάνω σε αυτό το αντικείμενο. Τέλος, παρουσιάζουμε τη δική μας μέθοδο διαχωρισμού, η οποία εκμεταλλεύεται τα διαφορετικά χαρακτηριστικά πολώσεως των δύο συνιστωσών και με τη βοήθεια της ανάλυσης ανεξαρτήτων συνιστωσών (ICA) επιτυγχάνει το διαχωρισμό. Η μέθοδος εφαρμόζεται τόσο σε πραγματικές όσο και σε κατασκευασμένες εικόνες. / The subject of this thesis is the separation of two reflection components (specular and diffuse) on surfaces of dielectric materials. The specular reflections are a significant problem for many algorithms in the field of computer vision, i.e. image segmentation. After the analysis of the problem and an introduction to colorimetry and polarization we describe popular methods that have already been used for this problem. Finally, we represent our own separation method, which exploits the different degree of polarization in the two reflection components and achieves the separation using independent component analysis (ICA). The method is applied on both real and virtual images.

Cílem mé diplomové práce bylo studium existujících metod pro detekci a odstranění odlesků ze sekvence snímků, nalezení jejich omezení a návrh možných vylepšení. Konkrétně jsme se zaměřili na rovinné spekulární povrchy, jejichž vzhled může být modelován superpozicí odrážené a přenášené vrstvy. Prozkoumali jsme především metody využívající vzájemný pohyb vrstev jako hlavní klíč k jejich oddělení. Popsali jsme jejich společný případ selhání, který spočívá v neschopnosti správného oddělení oblastí s nevýraznou texturou ve směru pohybu kamery. Výsledkem našeho úsilí je metoda řešící tento problém. Jejím hlavním přínosem je nový způsob odhadu hran obou vrstev, kdy důraz je kladen na správné oddělení hran zmíněných problematických oblastí. Věnovali jsme se také následnému odhadu barev jednotlivých vrstev, kdy se vedle hran vrstev využívá i odhad jejich hloubkových map, a popsali jsme alternativní přístup ke klasické kvadratické optimalizaci.

Fringe-pattern projection (FPP) techniques are commonly used for surface-shape measurement in a wide range of applications including object and scene modeling, part inspection, and reverse engineering. Periodic intensity fringe patterns with a specific amplitude are projected by the projector onto an object and a camera captures images of the fringe patterns, which appear distorted by the object surface from the perspective of the camera. The images are then used to compute the height or depth of the object at each pixel. One of the problems with FPP is that camera sensor saturation may occur if there is a large change in ambient lighting or a large range in surface reflectivity when measuring object surfaces. Camera sensor saturation occurs when the reflected intensity exceeds the maximum quantization level of the camera. A low SNR occurs when there is a low intensity modulation of the fringe pattern compared to the amount of noise in the image. Camera sensor saturation and low SNR can result in significant measurement error. Careful selection of the camera aperture or exposure time can reduce the error due to camera sensor saturation or low SNR. However, this is difficult to perform automatically, which may be necessary when measuring objects in uncontrolled environments where the lighting may change and objects have different surface reflectivity. This research presents three methods to avoid camera sensor saturation when measuring surfaces subject to changes in ambient lighting and objects with a large range in reflectivity. All these methods use the same novel approach of lowering the maximum input gray level (MIGL) to the projector for saturation avoidance. This approach avoids saturation by lowering the reflected intensity so that formerly saturated intensities can be captured by the camera. The first method of saturation avoidance seeks a trade-off between robustness to intensity saturation and low SNR. Measurements of a flat white plate at different MIGL resulted in a trade-off MIGL that yielded the highest accuracy for a single adjustment of MIGL that is uniform within and across the projected images. The second method used several sets of images, taken at constant steps of MIGL, and combined the images pixel-by-pixel into a single set of composite images, by selecting the highest unsaturated intensities at each pixel. White plate measurements using this method had comparable accuracy to the first method but required more images to form the composite image. Measurement of a checkerboard showed a higher accuracy than the first method since the second method maintains a higher SNR when the object has a large range of reflectivity. The last method also used composite images where the step size was determined dynamically, based on the estimated percentage of pixels that would become unsaturated at the next step. In measurements of a flat white plate and a checkerboard the dynamic step size was found to add flexibility to the measurement system compared to the constant steps using the second method. Using dynamic steps, the measurement system was able to measure objects with either a low or high range of reflectivity with high accuracy and without manually adjusting the step size. This permits fully automated measurement of unknown objects with variable reflectivity in unstructured environments with changing lighting conditions. The methods can be used for measurement in uncontrolled environments, for specular surfaces, and those with a large range of reflectivity or luminance. This would allow a wider range of measurement applications using FPP techniques.

Cette thèse s'inscrit dans le cadre de la simulation de particules colloïdales. Plus précisément, nous nous intéressons aux particules dans un écoulement turbulent et modélisons leur dynamique par un processus lagrangien, leurs interactions comme des collisions parfaitement élastiques où l'influence de l'écoulement est modélisée par un terme de force sur la composante vitesse du système. En couplant les particules deux par deux et considérant leurs position et vitesse relatives, la collision parfaitement élastique devient une condition de réflexion spéculaire. Nous proposons un schéma de discrétisation en temps pour le système Lagrangien résultant avec des conditions aux bords spéculaires et prouvons que l'erreur faible diminue au plus linéairement dans le pas de discrétisation temporelle. La démonstration s’appuie sur des résultats de régularité de l'EDP Feynman-Kac et requiert une certaine régularité sur le terme de force. Nous expérimentons numériquement certaines conjectures, dont l’erreur faible diminuant linéairement pour des termes de force qui ne respectent pas les conditions du théorème. Nous testons le taux de convergence de l’erreur faible pour l’extrapolation de Romberg. Enfin, nous nous intéressons aux approximations Lagrangiennes/Browniennes en considérant un système Lagrangien où la composante vitesse se comporte comme un processus rapide. Nous contrôlons l'erreur faible entre la composante position du modèle Lagrangien et un processus de diffusion uniformément elliptique. Nous démontrons ensuite un contrôle similaire en introduisant une limite réfléchissante spéculaire sur le système Lagrangien et une réflexion appropriée sur la diffusion elliptique. / This thesis broadly concerns colloidal particle simulation which plays an important role in understanding two-phase flows. More specifically, we track the particles inside a turbulent flow and model their dynamics as a stochastic process, their interactions as perfectly elastic collisions where the influence of the flow is modelled by a drift on the velocity term. By coupling each particle and considering their relative position and velocity, the perfectly elastic collision becomes a specular reflection condition. We put forward a time discretisation scheme for the resulting Lagrange system with specular boundary conditions and prove that the convergence rate of the weak error decreases at most linearly in the time discretisation step. The evidence is based on regularity results of the Feynman-Kac PDE and requires some regularity on the drift. We numerically experiment a series of conjectures, amongst which the weak error linearly decreasing for drifts that do not comply with the theorem conditions. We test the weak error convergence rate for a Richardson Romberg extrapolation. We finally deal with Lagrangian/Brownian approximations by considering a Lagrangian system where the velocity component behaves as a fast process. We control the weak error between the position of the Lagrangian system and an appropriately chosen uniformly elliptic diffusion process and subsequently prove a similar control by introducing a specular reflecting boundary on the Lagrangian and an appropriate reflection on the elliptic diffusion.

The aim of this diploma thesis is the application of vibrational spectroscopy in pharmaceutical analysis in studying solid pharmaceutical forms. The surface of tablet samples containing the active substance from the group of statins has been studied especially by the methods infrared microscopy. Spectral maps of samples were collected thanks to the techniques of specular reflection, attenuated total reflection (ATR) and "inverse" ATR after determining optimal conditions for measurements. In order to evaluate these measured maps, one-dimensional analysis and principal component analysis were used. As the same samples of tablets were also measured by Raman microscopy, the comparison has been provided. The measured distribution maps enable both a determination of substances in the sample and conclusion concerned a method of tablets' preparation. The method in this case is a granulation, which has been found out from a comparison of maps of generic and original medicament. The specular reflection method was selected to be the most appropriate technique for obtaining the maps of the surface of a tablet, via confrontation of particular methods consequently with consideration of their advantages and disadvantages in the measurement and data processing.

Avec l’émergence des nouveaux aciers chargés en éléments réactifs, la caractérisation des états de surface a pris une nouvelle dimension. En effet, différentes familles d’oxyde sont dommageables pour la qualité de surface de l’acier et peuvent nuire à l’application de revêtements annexes. Aussi, afin d’assurer une bonne qualité aux produits finis, le besoin de caractériser, en ligne, la surface de l’acier sur toute sa largeur est de plus en plus nécessaire. L’imagerie hyperspectrale est une technologie en plein essor qui permet à la fois la caractérisation spatiale et spectrale d’une surface. Elle n’avait cependant encore jamais été employée pour la caractérisation de couche mince dans l’industrie sidérurgique. Durant ma thèse, deux méthodologies ont ainsi été développées pour répondre à ce besoin: l’une via une mesure en réflexion spéculaire et l’autre via une mesure en émission. En complément d’un travail de synthèse d’échantillons de référence, un développement expérimental complet allant d’un banc de simulation aux traitements des données a été réalisé. Ce travail a permis de démontrer la capabilité de l’imagerie hyperspectrale pour la détection de couche mince d’oxyde sur un acier parfois à plusieurs centaines de degrés Celsius. Ces résultats encourageants ont conduit à réaliser la première implantation industrielle de cette technologie. Ce travail de thèse a permis d’étudier théoriquement et expérimentalement les phénomènes mis en jeu et de passer du concept répondant à un besoin industriel à l’implémentation en ligne d’un capteur dédié à la caractérisation d’une couche mince d’oxyde sur une surface en défilement dans des conditions industrielles / With the emergence of new steel loaded in reactive elements, the characterization of the physico-chemical properties of the surface states has taken a new dimension. Indeed, the thin films of oxide formed are damaging for the surface quality of the steel and may adversely affect the application of varied coatings. Also, to ensure a good quality on finished products, the need to characterize, online, the steel surface over its entire width is increasingly necessary. The hyperspectral imaging is an emerging technology that allows both spatial and spectral characterization of a surface. It had never been used to characterize thin layers in the steel industry. During my PhD, both methodologies have been developed to meet this need: one via a measurement in specular reflection and the other via a measurement in emission. In addition to a synthesis of reference samples, a full experimental development ranging from a simulation bench to the data processing was performed. This work has demonstrated the capability of the hyperspectral imaging to detect thin surface oxide layers on a steel surface, sometimes at several hundred degrees Celsius. These encouraging results led to the first industrial implementation of this technology. This thesis made it possible to study theoretically and experimentally the phenomena involved and to move from the concept that meets an industrial need to the implementation of an online sensor dedicated to the characterization of a thin oxide layer on a moving surface in industrial conditions