Discrete tomography of planar model sets

Michael Baake, Peter Gritzmann, Christian Huck, Barbara Langfeld, Katja Lord

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)419-433
Number of pages15
JournalActa Crystallographica Section A
Volume62
Issue number6
DOIs
StatePublished - Nov 2006

Keywords

  • Planar model sets
  • Tomography

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