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Isoperimetric graph partitioning for image segmentation.

Leo Grady1, Eric L Schwartz

  • 1Department of Imaging and Visualization, Siemens Corporate Research, Princeton, NJ 08540, USA. leo.grady@siemens.com

IEEE Transactions on Pattern Analysis and Machine Intelligence
|March 11, 2006
PubMed
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We present a new image segmentation method that finds partitions with a small isoperimetric constant. This approach offers high-quality segmentations, improving speed and stability over spectral methods.

Area of Science:

  • Computer Vision
  • Image Processing
  • Graph Theory

Background:

  • Spectral graph partitioning is a common technique for image segmentation.
  • Existing spectral methods rely on eigenvector computations, which can be slow and unstable.

Purpose of the Study:

  • To introduce an alternative image segmentation approach.
  • To improve the speed and stability of spectral graph partitioning methods.

Main Methods:

  • The proposed method finds graph partitions with a small isoperimetric constant.
  • This involves solving a linear system instead of an eigenvector problem.

Main Results:

  • The new approach achieves high-quality image segmentations comparable to spectral methods.

Related Experiment Videos

  • It demonstrates improved computational speed and numerical stability.
  • Conclusions:

    • The proposed method offers a faster and more stable alternative for image segmentation.
    • Solving linear systems for isoperimetric partitioning is a viable strategy for high-quality image segmentation.