Discrete Tomography of F-Type Icosahedral Model Sets

TL;DR

This paper explores the unique reconstruction of F-type icosahedral quasicrystals using discrete tomography techniques applied to high-resolution electron microscopy images.

Contribution

It provides new insights into the discrete tomography of F-type icosahedral model sets, advancing methods for reconstructing quasicrystals from limited imaging data.

Findings

Recent results in discrete tomography of these sets are explained.

The paper discusses conditions for unique reconstruction of quasicrystals.

Applications to high-resolution electron microscopy are considered.

Abstract

We address the problem of uniquely reconstructing F-type icosahedral quasicrystals from few images produced by quantitative high resolution transmission electron microscopy and explain recent results in the discrete tomography of these sets.