Symmetry in Optics and Vision Studies
A Data-Analytic Approach
Series: Multidisciplinary and Applied Optics;
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Product details:
- Edition number 1
- Publisher CRC Press
- Date of Publication 5 December 2019
- ISBN 9781466583979
- Binding Hardback
- No. of pages208 pages
- Size 234x156 mm
- Weight 498 g
- Language English
- Illustrations 60 Illustrations, black & white; 19 Tables, black & white 9
Categories
Short description:
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.
MoreLong description:
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. 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 Mathmaticaâ notebooks or R scripts. This book:
- Demonstrates the usefulness of a unified view of algebra and symmetry studies to address data-analytic questions in optics and vision science
- Offers a brief review of finite group theory and elements of multivariate analysis
- Includes various examples from diverse areas of optical science
Table of Contents:
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
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