Reconstruction in Different Classes of 2D Discrete Sets

  • Attila Kuba
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1568)


The problem of reconstruction of two-dimensional discrete sets from their two projections is considered in different classes. The reconstruction algorithms and complexity results are summarized in the case of hv-convex sets, hv-convex polyominoes, hv-convex 8-connected sets, and directed h-convex sets. We show that the reconstruction algorithms used in the class of hv-convex 4-connected sets (polyominoes) can be used, with small modifications, for reconstructing hv-convex 8-connected sets. Finally, it is shown that the directed h-convex sets are uniquely reconstructible with respect to the row and column sum vectors.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Attila Kuba
    • 1
  1. 1.Department of Applied InformaticsJózsef Attila UniversitySzegedHungary

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