On Maximum Weight Objects Decomposable into Based Rectilinear Convex Objects

  • Mahmuda Ahmed
  • Iffat Chowdhury
  • Matt Gibson
  • Mohammad Shahedul Islam
  • Jessica Sherrette
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8037)


Our main concern is the following variant of the image segmentation problem: given a weighted grid graph and a set of vertical and/or horizontal base lines crossing through the grid, compute a maximum-weight object which can be decomposed into based rectilinear convex objects with respect to the base lines. Our polynomial-time algorithm reduces the problem to solving a polynomial number of instances of the maximum flow problem.


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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Mahmuda Ahmed
    • 1
  • Iffat Chowdhury
    • 1
  • Matt Gibson
    • 1
  • Mohammad Shahedul Islam
    • 1
  • Jessica Sherrette
    • 1
  1. 1.Department of Computer ScienceUniversity of Texas at San AntonioSan AntonioUSA

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