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Wavelet analysis of a quasiperiodic tiling with fivefold symmetry

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Antoine, Jean-Pierre [UCL] Jacques, Laurent [UCL] Twarock, R

We determine all (statistical) rotation-dilation symmetries of a planar quasiperiodic tiling with fivefold symmetry, with a two-dimensional continuous wavelet transform, using a modified Cauchy wavelet and the scale-angle measure. The tiling is constructed via an affine extension of the Coxeter group H-2 and its statistical symmetries were unknown. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 1999
Language Anglais
Journal information "Physics Letters. Section A: General, Atomic and Solid State Physics" - Vol. 261, no. 5-6, p. 265-274 (1999)
Peer reviewed yes
Publisher Elsevier Science Bv (Amsterdam)
issn 0375-9601
e-issn 1873-2429
Publication status Publié
Affiliation UCL - SC/PHYS - Département de physique
Keywords continuous wavelet transform ; quasiperiodic tiling ; Coxeter group ; scale-angle measure
Links
Bibliographic reference Antoine, Jean-Pierre ; Jacques, Laurent ; Twarock, R. Wavelet analysis of a quasiperiodic tiling with fivefold symmetry. In: Physics Letters. Section A: General, Atomic and Solid State Physics, Vol. 261, no. 5-6, p. 265-274 (1999)
Permanent URL http://hdl.handle.net/2078.1/44082