Marlos A.G. Viana, Vasudevan Lakshminarayanan
December 30, 2019 Forthcoming
Reference - 224 Pages - 60 B/W Illustrations
ISBN 9781466583979 - CAT# K19017
Series: Multidisciplinary and Applied Optics
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This book will present an introduction to the foundations, interpretations, and data-analytic applications of symmetry studies with an emphasis on applications in optical sciences.. Symmetry studies connects algebraic and statistical methods for data summary and inference. In addition, this book demonstrates the usefulness of a unified view of algebra and symmetry studies to address data-analytic questions in optics and vision science. Readers should have an understanding of calculus and linear algebra as well as introductory statistics; The book reviews finite group theory in the introductory chapters. Computational tools used in the text are available for download in the form of Mathmatica® notebooks or R code.
Preface. 1. Symmetry Studies. 2. Algebraic Aspects. 3. Dihedral Decompositions. 4. Refraction. 5. Dihedral Polynomials. 6. Visual Perception of Symmetry. 7. Cyclic Reduction of Symbolic Sequences. 8. Symmetrically Dependent Observations. 9. Additional Aspects and Applications. Appendix. Glossary of Special Symbols. Bibliography. Index. List of Figures.