Discrete tomography of planar model sets.
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.
Baake
Michael
M
Fakultät für Mathematik, Universität Bielefeld, Postfach 10 01 31, 33501 Bielefeld, Germany. mbaake@math.uni-bielefeld.de
Gritzmann
Peter
P
Huck
Christian
C
Langfeld
Barbara
B
Lord
Katja
K