### Abstract

Lingua originale | English |
---|---|

Pagine | 115-125 |

Numero di pagine | 11 |

Stato di pubblicazione | Published - 2005 |

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### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

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*A Tomographical Characterization of L-convex Polyominoes*. 115-125.

**A Tomographical Characterization of L-convex Polyominoes.** / Restivo, Antonio; Castiglione, Giuseppa; Frosini, Andrea; Rinaldi, Simone.

Risultato della ricerca: Other

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TY - CONF

T1 - A Tomographical Characterization of L-convex Polyominoes

AU - Restivo, Antonio

AU - Castiglione, Giuseppa

AU - Frosini, Andrea

AU - Rinaldi, Simone

PY - 2005

Y1 - 2005

N2 - 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

AB - 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

UR - http://hdl.handle.net/10447/3104

M3 - Other

SP - 115

EP - 125

ER -