Iowa State University Capstones, Theses and Graduate Theses and Dissertations Dissertations 2014 Modeling, inference and clustering for equivalence classes of 3-D orientations Chuanlong Du Iowa State University Follow this and additional works at: https://lib.dr.iastate.edu/etd Part of the Statistics and Probability Commons Recommended Citation Du, Chuanlong, "Modeling, inference and clustering for equivalence classes of 3-D orientations" (2014). Graduate Theses and Dissertations. 13738. https://lib.dr.iastate.edu/etd/13738 This Dissertation is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Graduate Theses and Dissertations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact
[email protected]. Modeling, inference and clustering for equivalence classes of 3-D orientations by Chuanlong Du A dissertation submitted to the graduate faculty in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Major: Statistics Program of Study Committee: Stephen Vardeman, Co-major Professor Daniel Nordman, Co-major Professor Dan Nettleton Huaiqing Wu Guang Song Iowa State University Ames, Iowa 2014 Copyright c Chuanlong Du, 2014. All rights reserved. ii DEDICATION I would like to dedicate this dissertation to my mother Jinyan Xu. She always encourages me to follow my heart and to seek my dreams. Her words have always inspired me and encouraged me to face difficulties and challenges I came across in my life. I would also like to dedicate this dissertation to my wife Lisha Li without whose support and help I would not have been able to complete this work.