This thesis contains material relating to two separate subjects. The first section determines when the C*-algebra affiliated to a directed graph has continuous trace. We use groupoid methods and the focus is on producing conditions on a graph that...
The studies described within the present dissertation build upon and extend the neuroimaging literature in the domains of imagery and semantic retrieval of perceptual memories. These investigations focus on the range of retrieval experiences--from...
We present new forensic tools that are capable of detecting traces of tampering in digital images without the use of watermarks or specialized hardware. These tools operate under the assumption that images contain natural properties from a variety...
In large and complex networks such as the Internet and road networks, traffic routing is typically decentralized. Users in the network choose their routes independently to minimize their own delay, leading to complicated and nonintuitive outcomes...
We present new appearance editing algorithms that allow artists to perform complex editing operations on spatially-varying appearance datasets such as images and measured materials, in an intuitive and efficient manner. The goal is to develop...
Space plasmas. ; Magnetopause. ; Solar wind. ; Magnetic flux. ; Plasma astrophysics.
Two types of two-dimensional (2-D), coherent (time-stationary) space plasma structures, described by one-fluid, magnetostatic and isotropic plasma theory, are examined. One is the internal structure of the Earth's magnetopause and the other is...
While Cherenkov emission was discovered more than eighty years ago, the potential applications of imaging this during radiation therapy have just recently been explored. With approximately half of all cancer patients being treated by radiation at...
Molecular imaging of cancer features is a critical part of advancing better tools for oncology management and drug discovery, yet it is still evolving as a useful tool. Diffuse Fluorescence Tomography (FT) is one approach to molecular imaging, used...
The goal of this work was to improve the computational tools for near-infrared light modeling for clinical applications in photodynamic therapy (PDT) analysis and eventual treatment planning. The tools to facilitate this modeling were developed in...
How is concrete conceptual information represented in the brain? Little is known about the neural organization for details of concrete objects when presented as words. The goal of the first two studies was to investigate this. In the third study,...
This thesis investigates the embedding theory of orders in central simple algebras, placing a particular emphasis on the role that the phenomenon known as selectivity plays in the theory. Although the notion of selectivity is completely algebraic,...
We begin with a presentation of the current state of Poljak and Turzik's conjecture that a matroid is sticky if and only if it is modular as described in [5] and [1]. We show that all graphic, cographic, and regular matroids must satisfy the...
Topological graph theory. Aperiodicity. Paths and cycles (Graph theory)
The condition ""every cycle has an entry"" first appeared in the literature in Kumjian, Pask, and Raeburn's paper on Cuntz-Krieger algebras of directed graphs, where it was called Condition (L). It provides a necessary condition for simplicity of...
Functional neuroimaging has confirmed a high degree of localization of function in the cerebral cortex of man. In contrast, microstructural analysis has contributed very little to the topographical characterization of cortical areas. In this work I...
For many scientific applications, the data set cannot entirely fit in main memory. The data must reside out-of-core, i.e., on parallel disks. For many basic data-movement operations such as permuting, if the programmer does not design efficient...
Proteins are ubiquitous in cells and are essential to a wide range of biological processes. Since existing proteins occupy only a small portion of the space of possible amino acid composition, understanding their sequence-structure-function...
For a local field K, we study the affine buildings Îž n and Î” n naturally associated to SL n ( K ) and Sp n ( K ), respectively. Since Sp n ( K ) is a subgroup of SL 2 n ( K ), we investigate properties of a natural embedding of Î” n in Îž 2 n ....
Two localized spectroscopic imaging methods were investigated to detect and discriminate microscopic pathologies at the surface of excised breast tissues in order to improve resection completeness during breast conserving surgery. A scanning in...
Diagnostic imaging -- Mathematics. Expectation-maximization algorithms. Imaging systems in medicine -- Mathematics.
We have developed a general-purpose registration algorithm for medical images and volumes. The transformation between images is modeled as locally affine but globally smooth, and explicitly accounts for local and global variations in image...