Thursday, 14:15 - 14:40 h, Room: H 3013

 

Peter Gritzmann
On some discrete inverse problems: Combinatorial optimization in discrete and refraction tomography

Coauthors: Andreas Alpers, Barbara Langfeld, Markus Wiegelmann

 

Abstract:
Discrete Tomography is concerned with the retrieval of finite or finitely presented sets in some Rd from their X-rays in a given finite number of directions.
In the talk we focus on recent results on uniqueness and reconstruction issues.
In particular, we give new conditions on when a subset J of possible positions is already determined by the given data that allow us to settle conjectures of Kuba (1997) and of Brunetti & Daurat (2005).
% (This part of the talk is based on joint work with Barbara Langfeld and Markus Wiegelmann.)
Further, we indicate how new challenges in refraction
tomography relate to issues in computational convexity.
%(Joint work with Andreas Alpers).

 

Talk 3 of the contributed session Thu.2.H 3013
"Inverse problems" [...]
Cluster 2
"Combinatorial optimization" [...]

 

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