Compton Imaging Algorithms for Position-Sensitive Gamma-Ray Detectors in the Presence of Motion

To my family ii ACKNOWLEDGEMENTS First I would like to thank my advisor, Professor Zhong He, for his guidance and support over the last five years. Without him, this work would not have been possible. I would also like to thank Professor Jeff Fessler for his invaluable guidance and dis-cussions on model-based image reconstructions. I am grateful for the comments and suggestions of Professor Glenn Knoll during group meetings throughout my tenure at Michigan, and I appreciate the suggestions of Professor Sara Pozzi and Dr. Scott Wilderman who also agreed to be part of my committee. I am humbled to have such a distinguished group of experts serve on my dissertation committee. I owe a great debt to the entire Orion group, past and present, for their excellent work and suggestions that made my research possible. The many discussions with members of the imaging group including Dr. Weiyi Wang, Dr. Christopher Wahl, Dr. Dan Lingenfelter, Sonal Kaye, Crystal Thrall, and Steven Brown were invaluable for my understanding and education. Of course, the imaging group would be a bunc