Decomposition of binary images-A survey and comparison

  • Authors:
  • Tomáš Suk;Cyril HöSchl, IV;Jan Flusser

  • Affiliations:
  • Institute of Information Theory and Automation of the ASCR, Pod vodárenskou ví 4, 182 08 Praha 8, Czech Republic;Institute of Information Theory and Automation of the ASCR, Pod vodárenskou ví 4, 182 08 Praha 8, Czech Republic;Institute of Information Theory and Automation of the ASCR, Pod vodárenskou ví 4, 182 08 Praha 8, Czech Republic

  • Venue:
  • Pattern Recognition
  • Year:
  • 2012

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Abstract

We present an overview of the most important methods that decompose an arbitrary binary object into a union of rectangles. We describe a run-length encoding and its generalization, decompositions based on quadtrees, on mathematical morphology, on the distance transform, and a theoretically optimal decomposition based on a maximal matching in bipartite graphs. We compare their performance in image compression, in moment computation and in linear filtering. We show that the choice is always a compromise between the complexity and time/memory consumption. We give advice how to select an appropriate method in particular cases.