In appreciation of the time, effort and patience extended to me in the pursuit of this thesis, I would like to thank my committee chairman, Dr. Thomas Foley. In addition to his guidance in the topic of this research, he has also been unfailing in helping me get the resources and information I needed to complete both this research and this paper. I would also like to acknowledge and thank Dr. Gregory Nielson and Dr. Gerald Farin for being on my thesis committee and offering their observations and suggestions.
Thanks are also due to Kevin Price for letting me use his Amiga and helping me produce animations of the raytrace data that aided my understanding of the process and nature of four-dimensional raytracing.
Finally, I would like to thank my family for their patience, confidence, enthusiasm and financial support.