Blar i forfatter Artikler, rapporter og annet (matematikk og statistikk) "Thon, Kevin Otto"

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    • 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 ...

    • 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 ...