• DocumentCode
    248782
  • Title

    VOW: Variance-optimal wavelets for the steerable pyramid

  • Author

    Pad, Pedram ; Uhlmann, Virginie ; Unser, Michael

  • Author_Institution
    Biomed. Imaging Group (BIG), Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland
  • fYear
    2014
  • fDate
    27-30 Oct. 2014
  • Firstpage
    2973
  • Lastpage
    2977
  • Abstract
    We study the issue of localization in the context of isotropic wavelet frames. We define a variance-type measure of localization and propose an algorithm based on calculus of variations to minimize this criterion under the constraint of a tight wavelet frame. Based on these calculations, we design the variance-optimal wavelet (VOW). Finally, we demonstrate the advantage of better localization in a practical image-processing task.
  • Keywords
    image processing; wavelet transforms; VOW; image-processing task localization; isotropic wavelet frames; steerable pyramid; variance-optimal wavelets; variance-type measure; variation calculus; Approximation methods; Image edge detection; Image reconstruction; Optimization; PSNR; Wavelet transforms; Isotropic wavelets; localization; steerable pyramid;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Image Processing (ICIP), 2014 IEEE International Conference on
  • Conference_Location
    Paris
  • Type

    conf

  • DOI
    10.1109/ICIP.2014.7025601
  • Filename
    7025601