Traditionally the role of a Chapel is to offer society a place to worship, find solitude, sanctuary, spiritual enlightenment, religious fulfillment, and its inspiration. In an effort to reinforce and accentuate these experiences, this project explores the architectural concepts of procession, transition, and materiality of a Chapel. / Master of Architecture

Dans cette thèse, nous proposons des modèles de reconstruction de la structure curviligne fondée sur la modélisation stochastique et sur un système d’apprentissage structuré. Nous supposons que le réseau de lignes, dans sa totalité, peut être décomposé en un ensemble de segments de ligne avec des longueurs et orientations variables. Cette hypothèse nous permet de reconstituer des formes arbitraires de la structure curviligne pour différents types de jeux de données. Nous calculons les descripteurs des caractéristiques curvilignes fondés sur les profils des gradients d’image et les profils morphologiques. Pour le modèle stochastique, nous proposons des contraintes préalables qui définissent l'interaction spatiale des segments de ligne. Pour obtenir une configuration optimale correspondant à la structure curviligne latente, nous combinons plusieurs hypothèses de ligne qui sont calculées par échantillonnage MCMC avec différents jeux de paramètres. De plus, nous apprenons une fonction de classement qui prédit la correspondance du segment de ligne donné avec les structures curvilignes latentes. Une nouvelle méthode fondée sur les graphes est proposée afin d’inférer la structure sous-jacente curviligne en utilisant les classements de sortie des segments de ligne. Nous utilisons nos modèles pour analyser la structure curviligne sur des images statiques. Les résultats expérimentaux sur de nombreux types de jeux de données démontrent que les modèles de structure curviligne proposés surpassent les techniques de l'état de l'art. / In this dissertation, we propose curvilinear structure reconstruction models based on stochastic modeling and ranking learning system. We assume that the entire line network can be decomposed into a set of line segments with variable lengths and orientations. This assumption enables us to reconstruct arbitrary shapes of curvilinear structure for different types of datasets. We compute curvilinear feature descriptors based on the image gradient profiles and the morphological profiles. For the stochastic model, we propose prior constraints that define the spatial interaction of line segments. To obtain an optimal configuration corresponding to the latent curvilinear structure, we combine multiple line hypotheses which are computed by MCMC sampling with different parameter sets. Moreover, we learn a ranking function which predicts the correspondence of the given line segment and the latent curvilinear structures. A novel graph-based method is proposed to infer the underlying curvilinear structure using the output rankings of the line segments. We apply our models to analyze curvilinear structure on static images. Experimental results on wide types of datasets demonstrate that the proposed curvilinear structure modeling outperforms the state-of-the-art techniques.

<p><em>Curvilinear structure detection in images has been investigated for decades. In general, the detection of curvilinear structures includes two aspects, binary segmentation of the image and  inference of the graph representation of the curvilinear network. In our work, we propose a connected-tube model based on a marked point process (MPP) for addressing the two issues. The proposed tube model is applied to fiber detection in microscopy images by combining connected-tube and ellipse models. Moreover, a tube-based segmentation algorithm has been proposed to improve the segmentation accuracy. Experiments on fiber-reinforced polymer images, satellite images, and retinal vessel images will be presented. Additionally, we extend the 2D tube model to a 3D tube model, with each tube be modeled as a cylinder. To investigate the supervised curvilinear structure detection method, we focus on the application of road detection in satellite images and propose a two-stage learning strategy for road segmentation. A probability map is generated in the first stage by a selected neural network, then we attach the probability map image to the original RGB images and feed the resulting four images to a U-Net-like network in the second stage to get a refined result.</em></p> <p><br></p> <p><em>Anomaly detection in time series is a key step in diagnosing abnormal behavior in some systems. Long Short-Term Memory networks (LSTMs) have been demonstrated to be useful for anomaly detection in time series, due to their predictive power. However, for a system with thousands of different time sequences, a single LSTM predictor may not perform well for all the sequences. To enhance adaptability, we propose a stacked predictor framework. Also, we propose a novel dynamic thresholding algorithm based on the prediction errors to extract the potential anomalies. To further improve the accuracy of anomaly detection, we propose a post-detection verification method based on a fast and accurate time series subsequence matching algorithm.</em></p> <p><br></p> <p><em>To detect anomalies from multi-channel time series, a bi-directional transformer-based predictor is applied to generate the prediction error sequences, and a statistical model referred as an anomaly marked point process (Anomaly-MPP) is proposed to extract the anomalies from the error sequences. The effectiveness of our methods is demonstrated by testing on a variety of time series datasets.</em></p>