Name
Abstract | ||
|---|---|---|
In this paper we consider the uniqueness issues in Discrete Tomography. A special class of geometric objects, widely considered in the literature, is represented by additive sets. These sets are uniquely determined by their X -rays, and they are also reconstructible in polynomial time by use of linear programming. Recently, additivity has been extended to J-additivity to provide a more general treatment of known concepts and results. A further generalization of additivity, called bounded additivity is obtained by restricting to sets contained in a given orthogonal box. In this work, we investigate these two generalizations from a geometrical point of view and analyze the interplay between them. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.3233/FI-2016-1380 | FUNDAMENTA INFORMATICAE |
Keywords | Field | DocType |
Additive set,weakly bad configuration,uniqueness problem,X -ray | Discrete mathematics,Uniqueness,Sigma additivity,Combinatorics,Additive function,Discrete tomography,Generalization,Linear programming,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
146 | 2 | 0169-2968 |
Citations | PageRank | References |
0 | 0.34 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sara Brunetti | 1 | 122 | 16.23 |
| Carla Peri | 2 | 24 | 6.73 |