Dihedral Fourier Analysis

• Symmetry and Experimental Data.- Algebraic and Data-Analytic Aspects.- Curvature and Refraction Data.- Symbolic Sequences.- Symmetry Preference and Perception.- Other Applications.- Glossary.- Index.

From the book reviews: "The book under review is aimed to describe a series of techniques in which experimental data is indexed by, or associated with, symmetry transformations such as rotations or reversals. ... The book is enriched with various colored illustrations and numerical examples. It is intended for data analysts interested in both theoretical and applicative aspects." (Dan Emanuel Popovici, Mathematical Reviews, May, 2014) "An overview of the theory and methods of dihedral analysis. It introduces data sets and examples defining and connecting the algebraic notions of symmetry with those of statistical summaries and inference. ... These lecture notes are very well written in a pedagogical and smooth way. We recommend them to graduate students and researchers in dihedral analysis and related areas." (George Stoica, Zentralblatt MATH, Vol. 1257, 2013)