MS 02: Discrete Tomography

Mon, 27 March, 2017, 13:30–15:30, Room: UC 202G


Andreas Alpers


Several discrete versions of the Radon transform have been studied in the past. A natural version associates with a function Ψ : Z2 → {0, 1} the values of its line sums or, more generally, with a function Ψ : Zd → {0, 1} the values of its hyperplane sums. The task of inverting this transform sparked, with a first Minisymposium in 1994, the development of a whole new field called discrete tomography. The field has matured over the years, expanding far beyond the original application in electron microscopy. Applications can be found nowadays in areas such as plasma physics, statistical data security, graph theory, and crystallography. The theory of discrete tomography is also based on diverse areas, including, for instance, discrete mathematics, number theory, combinatorics, and geometry.
This Minisymposium aims at providing a forum for international leading experts in this field to present and discuss most recent advances.

List of speakers

Richard J. Gardner
Geometric tomography: X-ray transforms and uniqueness
Peter Gritzmann
On double-resolution imaging in discrete tomography
Kees Joost Batenburg
The Discrete Algebraic Reconstruction Technique (DART): successes, shortcomings, and prospects
Robert Tijdeman
Consistency conditions for discrete tomography
Christoph Schnörr
Variational and Numerical Approaches to Large-Scale Discrete Tomography
Sara Brunetti
Three problems in discrete tomography: reconstruction, uniqueness, and stability