Symmetry in optics and vision studies : a data-analytic approach
著者
書誌事項
Symmetry in optics and vision studies : a data-analytic approach
（Multidisciplinary and applied optics / series editors, Vasudevan Lakshminarayanan ... [et al.]）
CRC Press, c2020
- : hardback
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注記
Includes bibliographical references (p. 185-190) and index
内容説明・目次
内容説明
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 Mathmaticaa 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
目次
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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