Open AccessDiscrete tomography of planar model sets
Author(s) -
Baake Michael,
Gritzmann Peter,
Huck Christian,
Langfeld Barbara,
Lord Katja
Publication year - 2006
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
eISSN - 1600-5724
pISSN - 0108-7673
DOI - 10.1107/s0108767306030091
Subject(s) - uniqueness , consistency (knowledge bases) , class (philosophy) , mathematics , point (geometry) , planar , tomography , finite set , algorithm , computed tomography , pure mathematics , computer science , discrete mathematics , mathematical analysis , geometry , artificial intelligence , physics , computer graphics (images) , optics , medicine , radiology
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.