Optimal Spectral Reconstructions from Deterministic and Stochastic Sampling Geometries Using Compressive Sensing and Spectral Statistical Models BY

course of this work. He has spent the better part of five years advising and overseeing my work in applying geostatistics to image processing applications. During this time he was always been available to provide assistance when called upon. More recently, he has spent many hours helping me finalize this dissertation into a formal representation of our work together. For these things, I am very grateful. I would like to thank Dr. Armin Doerry for being supportive of my professional and academic pursuits, as well as his willingness to be a member of my committee. His thoughtful feedback is greatly appreciated. My gratitude also extends to Dr. Vince Calhoun for providing the data in our fMRI study, providing guidance as we ventured into an application we were not familiar with, and for his willingness to serve on my committee. I would like to thank Dr. Christos Christodoulou for his willingness to serve on my committee and for his role as co-principle investigator, along with Dr. Pattichis, on the research grant1 that provided the funding and motivation for our satellite imag