Thesis PlanB (M.S.)--University of Wisconsin--Stout, 2007. / Includes bibliographical references.

The problem was a study of the effectiveness of overhead projectuals and a transparent projection box in teaching orthographic projection.

The purposes of the study were as follows: first, to study the literature in the field of teaching drafting with special reference to the use of instructional aides in presenting orthographic projection concerning the use of a projection box; second, to ascertain the value of the use of a tri-color projection box in teaching orthographic projection to an experimental group of students at the R. L. Turner High School, Carrollton, Texas; and third, to determine if an analysis of these data indicates a justification for the use of this type of an instructional aid in teaching orthographic projection.

Building robust recognition systems requires a careful understanding of the effects of error in sensed features. Error in these image features results in a region of uncertainty in the possible image location of each additional model feature. We present an accurate, analytic approximation for this uncertainty region when model poses are based on matching three image and model points, for both Gaussian and bounded error in the detection of image points, and for both scaled-orthographic and perspective projection models. This result applies to objects that are fully three- dimensional, where past results considered only two-dimensional objects. Further, we introduce a linear programming algorithm to compute the uncertainty region when poses are based on any number of initial matches. Finally, we use these results to extend, from two-dimensional to three- dimensional objects, robust implementations of alignmentt interpretation- tree search, and ransformation clustering.

L'étude des caméras et des images a été un sujet prédominant depuis le début de la vision par ordinateur, l'un des principaux axes étant l'estimation de la pose et la reconstruction 3D. Le but de cette thèse est d'aborder et d'étudier certains problèmes et méthodes spécifiques du pipeline de la structure-from-motion afin d'améliorer la précision, de réaliser de vastes études pour comprendre les avantages et les inconvénients des modèles existants et de créer des outils mis à la disposition du public. Plus spécifiquement, nous concentrons notre attention sur les pairs stéréoscopiques et les triplets d'images et nous explorons certaines des méthodes et modèles capables de fournir une estimation de la pose et une reconstruction 3D de la scène.Tout d'abord, nous abordons la tâche d'estimation de la profondeur pour les pairs stéréoscopiques à l'aide de la correspondance de blocs. Cette approche suppose implicitement que tous les pixels du patch ont la même profondeur, ce qui produit l'artefact commun dénommé "foreground-fattening effect". Afin de trouver un support plus approprié, Yoon et Kweon ont introduit l'utilisation de poids basés sur la similarité des couleurs et la distance spatiale, analogues à ceux utilisés dans le filtre bilatéral. Nous présentons la théorie de cette méthode et l'implémentation que nous avons développée avec quelques améliorations. Nous discutons de quelques variantes de la méthode et analysons ses paramètres et ses performances.Deuxièmement, nous considérons l'ajout d'une troisième vue et étudions le tenseur trifocal, qui décrit les contraintes géométriques reliant les trois vues. Nous explorons les avantages offerts par cet opérateur dans la tâche d'estimation de pose d'un triplet de caméras par opposition au calcul des poses relatives paire par paire en utilisant la matrice fondamentale. De plus, nous présentons une étude et l’implémentation de plusieurs paramétrisations du tenseur. Nous montrons que l'amélioration initiale de la précision du tenseur trifocal n'est pas suffisante pour avoir un impact remarquable sur l'estimation de la pose après ajustement de faisceau et que l'utilisation de la matrice fondamentale avec des triplets d'image reste pertinente.Enfin, nous proposons d'utiliser un modèle de projection différent de celui de la caméra à sténopé pour l'estimation de la pose des caméras en perspective. Nous présentons une méthode basée sur la factorisation matricielle due à Tomasi et Kanade qui repose sur la projection orthographique. Cette méthode peut être utilisée dans des configurations où d'autres méthodes échouent, en particulier lorsque l'on utilise des caméras avec des objectifs à longue distance focale. La performance de notre implémentation de cette méthode est comparée à celle des méthodes basées sur la perspective, nous considérons que l'exactitude obtenue et la robustesse démontré en font un élément à considérer dans toute procédure de la SfM / The study of cameras and images has been a prominent subject since the beginning of computer vision, one of the main focus being the pose estimation and 3D reconstruction. The goal of this thesis is to tackle and study some specific problems and methods of the structure-from-motion pipeline in order to provide improvements in accuracy, broad studies to comprehend the advantages and disadvantages of the state-of-the-art models and useful implementations made available to the public. More specifically, we center our attention to stereo pairs and triplets of images and discuss some of the methods and models able to provide pose estimation and 3D reconstruction of the scene.First, we address the depth estimation task for stereo pairs using block-matching. This approach implicitly assumes that all pixels in the patch have the same depth producing the common artifact known as the ``foreground fattening effect''. In order to find a more appropriate support, Yoon and Kweon introduced the use of weights based on color similarity and spatial distance, analogous to those used in the bilateral filter. We present the theory of this method and the implementation we have developed with some improvements. We discuss some variants of the method and analyze its parameters and performance.Secondly, we consider the addition of a third view and study the trifocal tensor, which describes the geometric constraints linking the three views. We explore the advantages offered by this operator in the pose estimation task of a triplet of cameras as opposed to computing the relative poses pair by pair using the fundamental matrix. In addition, we present a study and implementation of several parameterizations of the tensor. We show that the initial improvement in accuracy of the trifocal tensor is not enough to have a remarkable impact on the pose estimation after bundle adjustment and that using the fundamental matrix with image triplets remains relevant.Finally, we propose using a different projection model than the pinhole camera for the pose estimation of perspective cameras. We present a method based on the matrix factorization due to Tomasi and Kanade that relies on the orthographic projection. This method can be used in configurations where other methods fail, in particular, when using cameras with long focal length lenses. The performance of our implementation of this method is compared to that given by the perspective-based methods, we consider that the accuracy achieved and its robustness make it worth considering in any SfM procedure

The purpose of this project was to see why projective geometry is related to the sort of sensors that machines and humans use for vision.

This thesis addresses the problem of constructing 3D CAD models from 2D engineering drawings of the object. Procedures for each step in the popular bottom-up approach are described. In each of the steps in this approach, the capability is extended to handle classes of parts not handled by present art. These include auxiliary views, parts with curved entities that are inclined to all viewing directions, and views that result in non-manifold edges in the surface model. In addition this thesis also presents procedures to extract features from the solid model constructed so that the 3D model can be manipulated and modified within current CAD systems. In order to enable extracting the construction history, detecting symmetry in the part is essential. This thesis presents an algorithm to detect symmetry (both global and partial) in the part given the solid model of the part. Working of the procedures is illustrated using benchmark parts from the literature. The thesis concludes with a discussion on scope for further work.