Data clustering as an optimum-path forest problem with applications in image analysis

  • Authors:
  • Leonardo Marques Rocha;Fábio A. M. Cappabianco;Alexandre Xavier Falcão

  • Affiliations:
  • Department of Telecommunications, School of Electrical and Computer Engineering, University of Campinas, Brazil;Department of Information Systems, Institute of Computing, University of Campinas, Brazil;Department of Information Systems, Institute of Computing, University of Campinas, Brazil

  • Venue:
  • International Journal of Imaging Systems and Technology - Contemporary Challenges in Combinatorial Image Analysis
  • Year:
  • 2009

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Abstract

We propose an approach for data clustering based on optimum-path forest. The samples are taken as nodes of a graph, whose arcs are defined by an adjacency relation. The nodes are weighted by their probability density values (pdf) and a connectivity function is maximized, such that each maximum of the pdf becomes root of an optimum-path tree (cluster), composed by samples “more strongly connected” to that maximum than to any other root. We discuss the advantages over other pdf-based approaches and present extensions to large datasets with results for interactive image segmentation and for fast, accurate, and automatic brain tissue classification in magnetic resonance (MR) images. We also include experimental comparisons with other clustering approaches. © 2009 Wiley Periodicals, Inc. Int J Imaging Syst Technol, 19, 50–68, 2009.