Tile-packing tomography is NP-hard
Tipo de documentoTexto en actas de congreso
Fecha de publicación2010
Condiciones de accesoAcceso restringido por política de la editorial
Discrete tomography deals with reconstructing finite spatial objects from their projections. The objects we study in this paper are called tilings or tile-packings, and they consist of a number of disjoint copies of a fixed tile, where a tile is defined as a connected set of grid points. A row projection specifies how many grid points are covered by tiles in a given row; column projections are defined analogously. For a fixed tile, is it possible to reconstruct its tilings from their projections in polynomial time? It is known that the answer to this question is affirmative if the tile is a bar (its width or height is 1), while for some other types of tiles NP-hardness results have been shown in the literature. In this paper we present a complete solution to this question by showing that the problem remains NP-hard for all tiles other than bars.
CitaciónChrobak, M. [et al.]. Tile-packing tomography is NP-hard. A: International Computing and Combinatorics Conference. "Computing and Combinatorics: 16th Annual International Conference, COCOON 2010: Nha Trang, Vietnam, July 19-21, 2010: Proceedings". Nha Trang: 2010, p. 254-263.
Versión del editorhttp://www.springerlink.com/content/g17gp31206h43x1m/
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