One of the basic problems in discrete tomography is thereconstruction of discrete sets from few projections. Assuming that the set to be reconstructed fulfills some geometrical properties is a commonly used technique to reduce the number of possibly many different solutions of the same reconstruction problem. The class of hv-convex discrete sets and its subclasses have a well-developed theory. Several reconstruction algorithms as well as some complexity results are known for those classes. The key to achieve polynomial-time reconstruction of an hv- convex discrete set is to have the additional assumption that the set is connected as well. This paper collects several statistics on hv-convex discrete sets, which are of great importance in the analysis of algorithms for reconstructing such kind of discrete sets. © 2008 Springer-Verlag Berlin Heidelberg.

JF - Combinatorial Image Analysis T3 - Lecture Notes in Computer Science PB - Springer Verlag CY - Buffalo, NY, USA SN - 978-3-540-78274-2 N1 - UT: 000254600100010ScopusID: 70249110264doi: 10.1007/978-3-540-78275-9_10 JO - LNCS ER -