Discrete tomography of Penrose model sets

Abstract

Various theoretical and algorithmic aspects of inverse problems in discrete tomography of planar Penrose model sets are discussed. These are motivated by the demand of materials science for the reconstruction of quasicrystalline structures from a small number of images produced by quantitative high-resolution transmission electron microscopy.

Acknowledgements

It is our pleasure to thank U. Grimm, P. Gritzmann, B. Langfeld and B. Sing for helpful discussions. The authors were supported by the German Research Council (Deutsche Forschungsgemeinschaft), within the Collaborative Research Centre (Sonderforschungsbereich) 701.