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Proceedings Paper

Penrose tilings, quasi-crystals, and wavelets
Author(s): Jean-Pierre Antoine; Laurent Jacques; Pierre Vandergheynst
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Paper Abstract

The analysis of oriented features in images requires 2D directional wavelets, for instance in standard tasks such as edge detection or directional filtering. In addition we present here a new application, namely a technique for determining all the (statistical) symmetries of a given pattern with respect to rotations and dilations. Examples are Penrose tilings, mathematical quasicrystals or various quasiperiodic planar point sets or patterns.

Paper Details

Date Published: 26 October 1999
PDF: 12 pages
Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); doi: 10.1117/12.366795
Show Author Affiliations
Jean-Pierre Antoine, Univ. Catholique de Louvain (Belgium)
Laurent Jacques, Univ. Catholique de Louvain (Belgium)
Pierre Vandergheynst, Swiss Federal Institute of Technology (EPFL) (Switzerland)

Published in SPIE Proceedings Vol. 3813:
Wavelet Applications in Signal and Image Processing VII
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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