Name
Abstract | ||
|---|---|---|
The problem of reconstructing a measurable plane set from its two generalized projections is considered. It means that the projections contain also the effect of a known modification given in the whole plane. This is a more general case than that of a constant absorption within a given material. Via a suitable mapping, this generalized problem can be transformed into the solved case of the classical (non-absorbed and non-generalized) projections, giving a theorem about the characterization of unique, non-unique, and inconsistent projections analogous to Lorentz' theorem. The connection between uniqueness and the existence of so-called generalized switching components is discussed. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.endm.2005.04.003 | Electronic Notes in Discrete Mathematics |
Keywords | Field | DocType |
Discrete tomography,emission discrete tomography,projection,Lorentz' theorem,absorption,switching component | Discrete mathematics,Uniqueness,Mathematical analysis,Discrete tomography,Measure (mathematics),Lorentz transformation,Mathematics | Journal |
Volume | ISSN | Citations |
20 | 1571-0653 | 0 |
PageRank | References | Authors |
0.34 | 4 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Steffen Zopf | 1 | 0 | 0.34 |
| Attila Kuba | 2 | 513 | 52.84 |