On combining graph-partitioning with non-parametric clustering for image segmentation

  • Authors:
  • Aleix M. Martínez;Pradit Mittrapiyanuruk;Avinash C. Kak

  • Affiliations:
  • Department of Electrical and Computer Engineering, The Ohio State University, OH;School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN;School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN

  • Venue:
  • Computer Vision and Image Understanding
  • Year:
  • 2004

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Abstract

The goal of this communication is to suggest an alternative implementation of the k-way Ncut approach for image segmentation. We believe that our implementation alleviates a problem associated with the Ncut algorithm for some types of images: its tendency to partition regions that are nearly uniform with respect to the segmentation parameter. Previous implementations have used the k-means algorithm to cluster the data in the eigenspace of the affinity matrix. In the k-means based implementations, the number of clusters is estimated by minimizing a function that represents the quality of the results produced by each possible value of k. Our proposed approach uses the clustering algorithm of Koontz and Fukunaga in which k is automatically selected as clusters are formed (in a single iteration). We show comparison results obtained with the two different approaches to non-parametric clustering. The Ncut generated oversegmentations are further suppressed by a grouping stage - also Ncut based -in our implementation. The affinity matrix for the grouping stage uses similarity based on the mean values of the segments.