• 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 ...
    • Statistical Analysis of Lattice Data with Wavelet Variance Methods and Spatiotemporal Modeling of Infectious Disease Spread 

      Geilhufe, Marc (Doctoral thesis; Doktorgradsavhandling, 2013-06-26)
      The focus of this thesis is the analysis of both regular and irregular lattice data, described in three papers. Paper I presents an extension of the pyramid algorithm for efficient Maximal Overlap Discrete Wavelet Transform coefficient calculation. As opposed to common usage of two-dimensional wavelet decomposition, it here also allows for different scales in the vertical and horizontal direction. ...