The neural response to visual symmetry in wallpaper patterns
نویسندگان
چکیده
منابع مشابه
Creating Symmetry : The Artful Mathematics of Wallpaper Patterns
This new book by Frank A. Farris, professor of mathematics at Santa Clara University, is a comprehensive introduction to the mathematics of symmetry. Symmetry has long provided a connection between mathematics and the visual arts. This book distinguishes itself from other treatments of the subject (e.g., [9], [5], and [1]) by its detailed descriptions of exactly how one creates new artistic des...
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In this paper we study periodic functions of one and two variables that are invariant under a subgroup of the Euclidean group. Starting with a function defined on the plane we obtain a function of one variable by two methods: we project the values of the function on a strip into its edge, by integrating along the width; and we restrict the function to a line. If the functions had been obtained ...
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Abstract: Two-dimensional (2D) functions with wallpaper group symmetry can be written as Fourier series displaying both translational and point-group symmetry. We elaborate the symmetry-adapted Fourier series for each of the 17 wallpaper groups. The symmetry manifests itself through constraints on and relations between the Fourier coefficients. Visualising the equivalencies of Fourier coefficie...
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ژورنال
عنوان ژورنال: Journal of Vision
سال: 2014
ISSN: 1534-7362
DOI: 10.1167/14.10.1430