Discrete Tomography of Icosahedral Model Sets

TL;DR

This paper explores the discrete tomography of icosahedral quasicrystal models, focusing on reconstruction and uniqueness from limited imaging data, motivated by materials science applications.

Contribution

It introduces methods for reconstructing and ensuring uniqueness in icosahedral quasicrystal models from few images, advancing understanding in quasicrystal tomography.

Findings

Reconstruction algorithms for icosahedral model sets.

Conditions for uniqueness in tomography of quasicrystals.

Application relevance to materials science imaging.

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.