Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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Description:: The problem of detecting changes in images taken by a stationary camera has been well studied and many algorithms now exist which perform robustly in …
Year:: 2008
Contributor:: Pollard, Thomas B. (creator); Mundy, Joseph (director); Cooper, David (reader); McClure, Donald (reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: change detection; background modeling; appearance modeling; 3-d reconstruction; space carving; Computer vision
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: This thesis is a mathematical and computational study of compositional vision. Three topics are covered: (1) ROC performance in a compositional world; (2) the construction …
Year:: 2009
Contributor:: Zhang, Wei (creator); Geman, Stuart (director); Bienenstock, Elli (reader); Gidas, Basilis (reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: generative; probabilistic; hierarchical; pattern recognition; template-based; Pattern perception; Computer vision
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: Statistical models of non-rigid deformable shape have wide application in many fields, including computer vision, computer graphics, and biometry. We show that shape deformations are …
Year:: 2013
Contributor:: Freifeld, Oren (creator); Black, Michael (Director); Bienenstock, Elie (Reader); Sudderth, Erik (Reader); Fisher III, John (Reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: statistical deformable-shape models; shape deformation; statistics on manifolds; Lie shapes; Contour Person; transfer learning on manifolds; covariance transport; manifold-valued data; matrix Lie groups; pattern theory; 3D shape; articulated 2D shape models; Computer vision; Machine learning
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: The study of shapes and their similarities is central in computer vision, in that it allows to recognize and classify objects from their representation. One …
Year:: 2008
Contributor:: Micheli, Mario (creator); Mumford, David (director); Geman, Alan (reader); Michor, Peter (reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: Differential Geometry; Shape Spaces; Landmarks; Geometry, Differential; Computer vision
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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