Discrete Tomography of Icosahedral Model Sets

Abstract

The discrete tomography of B-type and F-type icosahedral model sets is investigated, with an emphasis on reconstruction and uniqueness problems. These are motivated by the request of materials science for the unique reconstruction of quasicrystalline structures from a small number of images produced by quantitative high resolution transmission electron microscopy.

21 pages, 3 figures; revised version, figures added

References in corpus (4)

• Discrete Tomography of Planar Model Sets
• Coincidence site modules in 3-space
• Uniqueness in Discrete Tomography of Planar Model Sets
• Discrete Tomography of F-Type Icosahedral Model Sets

Cited by in corpus (6)

• Magic numbers in the discrete tomography of cyclotomic model sets
• A Note on Affinely Regular Polygons
• Solution of a uniqueness problem in the discrete tomography of algebraic Delone sets
• Discrete Tomography of F-Type Icosahedral Model Sets
• Discrete tomography: Magic numbers for $N$-fold symmetry
• Uniqueness in Discrete Tomography of Delone Sets with Long-Range Order