1.2 Dimension Reduction Techniques Used in Image Analysis......... 4

The Office of Graduate Studies has verified and approved the above named committee members. ii To my parents. iii ACKNOWLEDGEMENTS I am very grateful to my major professor, Dr. Anuj Srivastava, for his knowledge, guidance, patience, and open door policy, in helping me from the beginning to the end of this work. His contribution in the completion of my dissertation is critical. I am also grateful to my committee members: Dr. Fred Huffer, for his valuable remarks, for his time, and for his teaching and willingness to help students. I am grateful to Dr. Liu, for allowing me to use his code for the fast ICA algorithm, and for his expertise in image analysis and ICA. I am grateful to Dr. McGee for his great help in resolving administrative problems, and to Dr. Chicken for his time and knowledge. I would like to thank my parents in Russia for their moral support and love throughout my studies