Symmetry in Optics and Vision Studies

This book presents an introduction to the foundations, interpretations, and data-analytic applications of symmetry studies with an emphasis on applications in optical sciences. Symmetry studies connect group theoretic and statistical methods for data summary and inference.

Marlos Viana, Ph.D., is Associate Professor of Biostatistics in Ophthalmology. His current primary research is in the application of algebraic methods to the analysis and interpretation of data associated with symmetry conditions, with particular interest in statistical and linear optics, corneal topography, polarimetric data, statistical (molecular) chirality data, decompositions of entropy, and the study of short symbolic sequences. Professor Viana has advised, taught, and collaborated with students at all graduate and undergraduate levels in a variety of theoretical and applied fields since 1978. He teaches at the Honors College and has a joint faculty appointment with the College of Pharmacy and the Honors College. He has served as faculty statistician at UIC's General Clinical Research Center and at UIC's Institutional Review Board. Professor Viana is a member of several editorial boards and the editor of Volumes 287 and 516 of the American Mathematical Society's Contemporary Mathematics series.

Prof. Vasudevan Lakshminarayanan is a theorist who works in the field of biomedical image analysis amongst other areas which include optical physics and mathematical modeling. He is a recognized expert in this area and is involved in U.S. national science policy