Several papers in the available literature tackled problems concerning convex polyominoes in discrete tomography. An interesting subclass consists of L-convex polyominoes, since the related reconstruction problem can have only a unique solution. On the other hand, recent studies have modeled an approach to reconstruct objects even in the case that some of the projections are unavailable, due to a particularly dense part of the scanned object, that we refer to as a blocking component. In this work we merge the two problems in order to obtain efficient reconstruction algorithms for convex and L-convex polyominoes, in case a blocking component is included.

Brocchi, S., Dulio, P., Pagani, S. M. C., Reconstruction of convex polyominoes with a blocking component, <<THEORETICAL COMPUTER SCIENCE>>, 2016; 624 (N/A): 136-146. [doi:10.1016/j.tcs.2015.12.016] [http://hdl.handle.net/10807/78087]

Reconstruction of convex polyominoes with a blocking component

Dulio, Paolo
Secondo
;
Pagani, Silvia Maria Carla
Ultimo
2016

Abstract

Several papers in the available literature tackled problems concerning convex polyominoes in discrete tomography. An interesting subclass consists of L-convex polyominoes, since the related reconstruction problem can have only a unique solution. On the other hand, recent studies have modeled an approach to reconstruct objects even in the case that some of the projections are unavailable, due to a particularly dense part of the scanned object, that we refer to as a blocking component. In this work we merge the two problems in order to obtain efficient reconstruction algorithms for convex and L-convex polyominoes, in case a blocking component is included.
Inglese
Brocchi, S., Dulio, P., Pagani, S. M. C., Reconstruction of convex polyominoes with a blocking component, <<THEORETICAL COMPUTER SCIENCE>>, 2016; 624 (N/A): 136-146. [doi:10.1016/j.tcs.2015.12.016] [http://hdl.handle.net/10807/78087]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/78087
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