Name
Abstract | ||
|---|---|---|
Our main purpose is to characterize the class of L-convex polyominoes introduced in [3] by means of their horizontal and vertical projections. The achieved results allow an answer to one of the most relevant questions in tomography i.e. the uniqueness of discrete sets, with respect to their horizontal and vertical projections. In this paper, by giving a characterization of L-convex polyominoes, we investigate the connection between uniqueness property and unimodality of vectors of horizontal and vertical projections. In the last section we consider the continuum environment; we extend the definition of L-convex set, and we obtain some results analogous to those for the discrete case. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/978-3-540-31965-8_11 | DGCI |
Keywords | Field | DocType |
discrete case,l-convex polyominoes,relevant question,discrete set,last section,tomographical characterization,vertical projection,main purpose,l-convex set,continuum environment,uniqueness property,convex set | Discrete geometry,Uniqueness,Unimodality,Horizontal and vertical,Combinatorics,Discrete tomography,Polyomino,Convex set,Pure mathematics,Regular polygon,Mathematics | Conference |
Volume | ISSN | ISBN |
3429 | 0302-9743 | 3-540-25513-3 |
Citations | PageRank | References |
15 | 0.99 | 5 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Giusi Castiglione | 1 | 142 | 13.98 |
| Andrea Frosini | 2 | 101 | 20.44 |
| Antonio Restivo | 3 | 697 | 107.05 |
| Simone Rinaldi | 4 | 174 | 24.93 |