MS 02: Discrete Tomography
Mon, 27 March, 2017, 13:30–15:30, Room: UC 202G
Organizer
Andreas Alpers
Abstract
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 |