• Bayesian multiscale analysis of images modeled as Gaussian Markov random fields 

      Thon, Kevin Otto; Rue, Håvard; Skrøvseth, Stein Olav; Godtliebsen, Fred (Journal article; Tidsskriftartikkel; Peer reviewed, 2012)
      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 ...
    • Multiscale Methods for Statistical Inference on Regular Lattice Data 

      Thon, Kevin Otto (Doctoral thesis; Doktorgradsavhandling, 2013-12-13)
      This thesis presents methods for multiscale statistical inference on random fields on a regular two-dimensional lattice. There are two distinct concepts of scale that are used in the thesis. The first one is connected to the computer vision community's understanding of scale-space as a family of smooths of a digital image, with fine structure being revealed at low levels of smoothing and the coarser ...
    • A Multiscale Wavelet-Based Test for Isotropy of Random Fields on a Regular Lattice 

      Thon, Kevin Otto; Geilhufe, Marc; Percival, Donald B. (Journal article; Tidsskriftartikkel; Peer reviewed, 2014-12-31)
      A test for isotropy of images modeled as stationary or intrinsically stationary random fields on a lattice is developed. The test is based on wavelet theory, and can operate on the horizontal and vertical scale of choice, or on any combination of scales. Scale is introduced through the wavelet variances (sometimes referred to as the wavelet power spectrum), which decompose the variance over ...