Discrete Tomography of Planar Model Sets

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Discrete tomography is a well-established method to investigate finite point sets, in particular finite subsets of periodic systems. Here, we start to develop an efficient approach for the treatment of finite subsets of mathematical quasicrystals. To this end, the class of cyclotomic model sets is introduced, and the corresponding consistency, reconstruction and uniqueness problems of the discrete tomography of these sets are discussed.
27 pages, 9 figures

Keywords

Metric Geometry, Combinatorics, 52C23; 52C05; 11R06

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/116511

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609393
 http://arxiv.org/abs/math/0609393
 Acta Cryst. A62 (2006), 419-433
 doi:10.1107/S0108767306030091

Collections

arXiv