X-ray crystallography is a technique for determining the structure (positions of atoms in space) of molecules. It is a well developed technique, and is applied routinely to both small inorganic and large organic molecules. However, the determination of the structures of large biological molecules by x-ray crystallography can still be an experimentally and computationally expensive task. The data in an x-ray experiment are the amplitudes of the Fourier transform of the electron density in the crystalline specimen. The structure determination problem in x-ray crystallography is therefore identical to a phase retrieval problem in image reconstruction, for which iterative transform algorithms are a common solution method. This thesis is concerned with iterative projection algorithms, a generalized and more powerful version of iterative transform algorithms, and their application to macromolecular x-ray crystallography. A detailed study is made of iterative projection algorithms, including their properties, convergence, and implementations. Two applications to macromolecular crystallography are then investigated. The first concerns reconstruction of binary image and the application of iterative projection algorithms to determining molecular envelopes from x-ray solvent contrast variation data. An effective method for determining molecular envelopes is developed. The second concerns the use of symmetry constraints and the application of iterative projection algorithms to ab initio determination of macromolecular structures from crystal diffraction data. The algorithm is tested on an icosahedral virus and a protein tetramer. The results indicate that ab initio phasing is feasible for structures containing 4-fold or 5-fold non-crystallographic symmetry using these algorithms if an estimate of the molecular envelope is available.

Although language usually occurs in an interactive and world-situated context (Clark, 1996), most research on language use to date has studied comprehension and production in isolation. This thesis combines research on comprehension and production, and explores the links between them. Its main focus is on the coordination of visual attention between speakers and listeners, as well as the influence this has on the language they use and the ease with which they understand it. Experiment 1 compared participants’ eye movements during comprehension and production of similar sentences: in a syntactic priming task, they first heard a confederate describe an image using active or passive voice, and then described the same kind of picture themselves (cf. Branigan, Pickering, & Cleland, 2000). As expected, the primary influence on eye movements in both tasks was the unfolding sentence structure. In addition, eye movements during target production were affected by the structure of the prime sentence. Eye movements in comprehension were linked more loosely with speech, reflecting the ongoing integration of listeners’ interpretations with the visual context and other conceptual factors. Experiments 2-7 established a novel paradigm to explore how seeing where a speaker was looking during unscripted production would facilitate identification of the objects they were describing in a photographic scene. Visual coordination in these studies was created artificially through an on-screen cursor which reflected the speaker’s original eye movements (cf. Brennan, Chen, Dickinson, Neider, & Zelinsky, 2007). A series of spatial and temporal manipulations of the link between cursor and speech investigated the respective influences of linguistic and visual information at different points in the comprehension process. Implications and potential future applications are discussed, as well as the relevance of this kind of visual cueing to the processing of real gaze in face-to-face interaction.

We study a discrete time, structured population dynamic model that is motivated by recent field observations concerning certain life history strategies of colonial- nesting gulls, specifically the glaucouswinged gull ( Larus glaucescens). The model focuses on mechanisms hypothesized to play key roles in a population's response to degraded environment resources, namely, increased cannibalism and adjustments in reproductive timing. We explore the dynamic consequences of these mechanics using a juvenile- adult structure model. Mathematically, the model is unusual in that it involves a high co- dimension bifurcation at R0 = 1 which, in turn, leads to a dynamic dichotomy between equilibrium states and synchronized oscillatory states. We give diagnostic criteria that determine which dynamic is stable. We also explore strong Allee effects caused by positive feedback mechanisms in the model and the possible consequence that a cannibalistic population can survive when a non- cannibalistic population cannot.

The work I create is informed by questioning reality/identity, the fractalizing planes of existence our essence occupies, and the artifacts of memory experience navigating through space time. While existing in this realm of oversaturated media and neon glow, I question the effects of pervasive data systems overloading or programming the mental software we possess. My work includes humor as a means of exploring these conventions while also displaying psychedelic surrealist imagery to help break away from the conscious prison this existence births our concept apparatuses within.

In many practical scenarios, prediction for high-dimensional observations can be accurately performed using only a fraction of the existing features. However, the set of relevant predictive features, known as the sparsity pattern, varies across data. For instance, features that are informative for a subset of observations might be useless for the rest. In fact, in such cases, the dataset can be seen as an aggregation of samples belonging to several low-dimensional sub-models, potentially due to different generative processes. My thesis introduces several techniques for identifying sparse predictive structures and the areas of the feature space where these structures are effective. This information allows the training of models which perform better than those obtained through traditional feature selection. We formalize Informative Projection Recovery, the problem of extracting a set of low-dimensional projections of data which jointly form an accurate solution to a given learning task. Our solution to this problem is a regression-based algorithm that identifies informative projections by optimizing over a matrix of point-wise loss estimators. It generalizes to a number of machine learning problems, offering solutions to classification, clustering and regression tasks. Experiments show that our method can discover and leverage low-dimensional structure, yielding accurate and compact models. Our method is particularly useful in applications involving multivariate numeric data in which expert assessment of the results is of the essence. Additionally, we developed an active learning framework which works with the obtained compact models in finding unlabeled data deemed to be worth expert evaluation. For this purpose, we enhance standard active selection criteria using the information encapsulated by the trained model. The advantage of our approach is that the labeling effort is expended mainly on samples which benefit models from the hypothesis class we are considering. Additionally, the domain experts benefit from the availability of informative axis aligned projections at the time of labeling. Experiments show that this results in an improved learning rate over standard selection criteria, both for synthetic data and real-world data from the clinical domain, while the comprehensible view of the data supports the labeling process and helps preempt labeling errors.

Fringe projection is a commonly used optical technique for measuring the shapes of objects with dimensions of up to about 1 m across. There are however many instances in the aerospace and automotive industries where it would be desirable to extend the benefits of the technique (e.g., high temporal and spatial sampling rates, non-contacting measurements) to much larger measurement volumes. This thesis describes a process that has been developed to allow the creation of a large global measurement volume from two or more independent shape measurement systems. A new 3-D large volume calibration artefact, together with a hexapod positioning stage, have been designed and manufactured to allow calibration of volumes of up to 3 x 1 x 1 m3. The artefact was built from carbon fibre composite tubes, chrome steel spheres, and mild steel end caps with rare earth rod magnets. The major advantage over other commonly used artefacts is the dimensionally stable relationship between features spanning multiple individual measurement volumes, thereby allowing calibration of several scanners within a global coordinate system, even when they have non-overlapping fields of view. The calibration artefact is modular, providing the scalability needed to address still larger measurement volumes and volumes of different geometries. Both it and the translation stage are easy to transport and to assemble on site. The artefact also provides traceabitity for calibration through independent measurements on a mechanical CMM. The dimensions of the assembled artefact have been found to be consistent with those of the individual tube lengths, demonstrating that gravitational distortion corrections are not needed for the artefact size considered here. Deformations due to thermal and hygral effects have also been experimentally quantified. The thesis describes the complete calibration procedure: large volume calibration artefact design, manufacture and testing; initial estimation of the sensor geometry parameters; processing of the calibration data from manually selected regions-of-interest (ROI) of the artefact features; artefact pose estimation; automated control point selection, and finally bundle adjustment. An accuracy of one part in 17 000 of the global measurement volume diagonal was achieved and verified.

The thesis is made up of episodes in which I am in dialogue with myself, sometimes in dialogue with the work, and yet other times I am speaking directly to the reader/viewer. The tense also sways from past to present as frequently as the visual language does. The following episodes are a selection of writings from my final year at graduate school. The episodes express my influences, inspirations, theories, and philosophies as a person and a maker. I think of these things as what allows me to wander and then wander somewhere else completely different within the same landscape. I feel it is important for an audience to experience these wanderings. I feel it is more valid for you to read exactly what I am thinking rather than to tell you about what I am thinking and making, because it is an expression of my relationship with my work. The images are supplemental to the writing. The images and writings fit together in that they inform one another. That is not to say that the ideas do not always transfer literally from image to writing but that they are what is thought about simultaneously through out my creative process. Most importantly I have developed through my graduate experience an intense relationship with the work. This is the most important relationship an artist has, the one with his or her work. It is deep and enriching, at times painful and frustrating, and at its best surprising, amazing, and even glorious. This is what I have to share through my thesis.

Thèse numérisée par la Direction des bibliothèques de l'Université de Montréal.

Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal.

An aim of this diploma thesis is to create interactive descriptive geometry coursebook. As a basis for coursebook creation was used "Present State of Descriptive Geometry Education on High Schools Survey" which was proceeded via questionnaire. Before the creation of coursebook itself were made analyses of accessible textbooks, geometric softwares in use and possible environments for coursebook content presentation. A result is integrated part of subject matter taught on high schools complemented by solved examples and interactive applets created in software GeoGebra. The coursebook content is presented in a form of HTML sites on a public website http://www.sadsam.cz/dg/ and also as an off- line version on DVD disc enclosed.