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
General
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