Now showing items 31-40 of 105
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Object and action detection methods using MOSSE filters
Author(s):Arn, Robert T.
In this thesis we explore the application of the Minimum Output Sum of Squared Error (MOSSE) filter to object detection in images as well as action detection in video. We exploit the properties of the Fourier transform ...
Probabilistic foundation of nonlocal diffusion and formulation and analysis for elliptic problems on uncertain domains
Author(s):Burch, Nathanial J.
In the first part of this dissertation, we study the nonlocal diffusion equation with so-called Lévy measure ν as the master equation for a pure-jump Lévy process. In the case ν ∈ L1(R), a relationship to fractional diffusion ...
Flag of best fit as a representative for a collection of linear subspaces, The
Author(s):Marrinan, Timothy P.
This thesis will develop a technique for representing a collection of subspaces with a flag of best fit, and apply it to practical problems within computer vision and pattern analysis. In particular, we will find a nested ...
Open and closed Gromov-Witten theory of three-dimensional toric Calabi-Yau orbifolds
Author(s):Ross, Dustin J.
We develop the orbifold topological vertex, an algorithm for computing the all-genus, open and closed Gromov-Witten theory of three-dimensional toric Calabi-Yau orbifolds. We use this algorithm to study Ruan's crepant ...
Hyperovals, Laguerre planes and hemisystems - an approach via symmetry
In 1872, Felix Klein proposed the idea that geometry was best thought of as the study of invariants of a group of transformations. This had a profound effect on the study of geometry, eventually elevating symmetry to a ...
Preconditioning polynomial systems for homotopy continuation
Author(s):Ihde, Steven L.
Polynomial systems are ubiquitous in today's scientific world. These systems need to be solved quickly and efficiently. One key solution method comes from Numerical Algebraic Geometry, specifically Homotopy Continuation. ...
Constrained dynamics of rolling balls and moving atoms
This dissertation is devoted to the study of the dynamics, conservation laws and symmetries of rolling spheres, with special attention to applications to atomic and molecular systems. Previously known conservation laws of ...
Spatiotemporal complexity in Ginzburg Landau equations for anisotropic systems
Nematic electroconvection is a paradigm example of pattern formation in anisotropic extended systems, where spatiotemporal chaos can arise at the onset of electroconvection. This dissertation is devoted to characterize and ...
Anomaly detection in terrestrial hyperspectral video using variants of the RX algorithm
Author(s):Schwickerath, Anthony N.
There is currently interest in detecting the use of chemical and biological weapons using hyperspectral sensors. Much of the research in this area assumes the spectral signature of the weapon is known in advance. ...
Homotopy continuation methods, intrinsic localized modes, and cooperative robotic workspaces
Author(s):Brake, Daniel Abram
This dissertation considers three topics that are united by the theme of application of geometric and nonlinear mechanics to practical problems. Firstly we consider the parallel implementation of numerical solution of ...