Bayesian multiscale analysis of images modeled as Gaussian Markov random fields

Kevin Thon, Haavard Rue, Stein Olav Skrøvseth*, Fred Godtliebsen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

A Bayesian multiscale technique for the detection of statistically significant features in noisy images is proposed. The prior is defined as a stationary intrinsic Gaussian Markov random field on a toroidal graph, which enables efficient computation of the relevant posterior marginals. Hence the method is applicable to large images produced by modern digital cameras. The technique is demonstrated in two examples from medical imaging.

Original languageEnglish (US)
Pages (from-to)49-61
Number of pages13
JournalComputational Statistics and Data Analysis
Volume56
Issue number1
DOIs
StatePublished - Jan 1 2012

Keywords

  • Bayesian analysis
  • Gaussian Markov random fields
  • Multi-resolution analysis
  • Scale space

ASJC Scopus subject areas

  • Statistics and Probability
  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics

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