光学・視覚科学における対称性研究 Symmetry in Optics and Vision Studies : A Data-Analytic Approach (Multidisciplinary and Applied Optics)

Viana, Marlos A.G./ Lakshminarayanan, Vasudevan

CRC Press Inc（2019/12発売）

• 製本 Hardcover:ハードカバー版／ページ数 192 p.
• 言語 ENG
• 商品コード 9781466583979
• DDC分類 535

Full 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

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