Discrete Tomography of Planar Model Sets
Metric Geometry
2007-05-23 v1 Combinatorics
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.
Cite
@article{arxiv.math/0609393,
title = {Discrete Tomography of Planar Model Sets},
author = {M. Baake and P. Gritzmann and C. Huck and B. Langfeld and K. Lord},
journal= {arXiv preprint arXiv:math/0609393},
year = {2007}
}
Comments
27 pages, 9 figures