# On tiling under tomographic constraints

Chrobak, Marek
and
Couperus, Peter
and
Dürr, Christoph
and
Woeginger, Gerhard
(2003)
*On tiling under tomographic constraints.*
Theoretical Computer Science, 290
(3).
pp. 2125-2136.
ISSN 0304-3975

PDF
Restricted to UT campus only : Request a copy 179kB |

Abstract: | Given a tiling of a 2D grid with several types of tiles, we can count for every row and column how many tiles of each type it intersects. These numbers are called the projections. We are interested in the problem of reconstructing a tiling which has given projections. Some simple variants of this problem, involving tiles that are 1×1 or 1×2 rectangles, have been studied in the past, and were proved to be either solvable in polynomial time or NP-complete. In this note, we make progress toward a comprehensive classification of various tiling reconstruction problems, by proving NP-completeness results for several sets of tiles. |

Item Type: | Article |

Copyright: | © 2003 Elsevier |

Faculty: | Electrical Engineering, Mathematics and Computer Science (EEMCS) |

Research Group: | |

Link to this item: | http://purl.utwente.nl/publications/75176 |

Official URL: | http://dx.doi.org/10.1016/S0304-3975(02)00542-X |

Export this item as: | BibTeX EndNote HTML Citation Reference Manager |

Repository Staff Only: item control page

Metis ID: 213200