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Estimating uncertainty in MRF-based image segmentation: A perfect-MCMC approach.

Suyash P Awate1, Saurabh Garg1, Rohit Jena1

  • 1Computer Science and Engineering Department, Indian Institute of Technology (IIT) Bombay, Mumbai, India.

Medical Image Analysis
|May 16, 2019
PubMed
Summary

This study introduces perfect Markov chain Monte Carlo (MCMC) sampling for accurate uncertainty estimation in medical image segmentation. The novel bounding-chain algorithm enables precise sampling from Bayesian Markov random field (MRF) models, improving clinical decision support.

Keywords:
Bayesian inferenceEMHidden MRFHippocampusLesionLobesMCMCMRIMultiatlasPerfect/ exact samplingSegmentationTissueTumorbrainuncertainty

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Area of Science:

  • Medical Image Analysis
  • Computational Statistics
  • Machine Learning

Background:

  • Traditional image segmentation methods provide single optimal solutions, lacking uncertainty quantification crucial for clinical decision support.
  • Existing Bayesian methods for uncertainty estimation often rely on approximations, leading to deviations from true posterior distributions.
  • Current Markov chain Monte Carlo (MCMC) sampling techniques can be computationally intensive and may not yield accurate posterior samples.

Purpose of the Study:

  • To develop a novel method for accurate uncertainty estimation in medical image segmentation.
  • To enable sampling of multi-label segmentations from generic Bayesian Markov random field (MRF) models with exact inference.
  • To provide alternate close-to-optimal solutions and boundary uncertainty information for clinical decision support.

Main Methods:

  • Proposed the modern paradigm of perfect MCMC sampling for finite-time exact inference in generic Bayesian MRF models.
  • Extended Fill's algorithm to develop a novel bounding-chain algorithm for exact sampling in generic Bayesian MRFs.
  • Applied and evaluated the proposed methods on classic medical image analysis problems, including simulated data and clinical brain MRI.

Main Results:

  • The novel perfect MCMC sampling approach achieves accurate uncertainty estimates.
  • The bounding-chain algorithm facilitates exact sampling from generic Bayesian MRFs.
  • Demonstrated superior accuracy of uncertainty estimates compared to several state-of-the-art inference methods on diverse datasets.

Conclusions:

  • Perfect MCMC sampling offers a robust solution for uncertainty quantification in medical image segmentation.
  • The developed bounding-chain algorithm enhances the reliability of Bayesian inference in MRF models.
  • This work advances automated medical image analysis by providing more trustworthy segmentation results for clinical applications.