Students: Dissertation: Kevin Vixie

Kevin Vixie

ABSTRACT
This dissertation is comprised of four papers written over three years. The first two deal with the detection of aliasing in stochastic processes and in individual waveforms. The next paper deals with the reconstruction of objects from incomplete measurements -- the reconstruction of 3-dimensional objects from a time sequence of radiographs. The fourth paper deals with a question of how to quantify how well a model built from data captures the original system from which the data came. The unifying theme is the reconstruction or detection of hidden information in a sequence of measurements. In the first two papers we detect discarded information, in the third paper we reconstruct the state information, and in the fourth paper we work on a question related to the reconstruction of the entire system.

Thursday, August 9, 2001
DISSERTATION COMMITTEE
Andrew M. Fraser, Chair
Serge Preston
John Erdman
David Sigeti
Jack S. Semura, Graduate Studies Rep.