• DocumentCode
    1524080
  • Title

    Multiple wavelet threshold estimation by generalized cross validation for images with correlated noise

  • Author

    Jansen, Maarten ; Bultheel, Adhemar

  • Author_Institution
    Dept. of Comput. Sci., Katholieke Univ., Leuven, Heverlee, Belgium
  • Volume
    8
  • Issue
    7
  • fYear
    1999
  • fDate
    7/1/1999 12:00:00 AM
  • Firstpage
    947
  • Lastpage
    953
  • Abstract
    Denoising algorithms based on wavelet thresholding replace small wavelet coefficients by zero and keep or shrink the coefficients with absolute value above the threshold. The optimal threshold minimizes the error of the result as compared to the unknown, exact data. To estimate this optimal threshold, we use generalized cross validation. This procedure does not require an estimation for the noise energy. Originally, this method assumes uncorrelated noise. In this paper, we describe how we can extend it to images with correlated noise
  • Keywords
    estimation theory; image enhancement; interference suppression; mean square error methods; noise; wavelet transforms; correlated noise; denoising algorithms; error; generalized cross validation; multiple wavelet threshold estimation; noise energy; optimal threshold; small wavelet coefficients; uncorrelated noise; Bayesian methods; Computer science; Continuous wavelet transforms; Image enhancement; Libraries; Noise reduction; Wavelet coefficients; Wavelet domain; Wavelet transforms;
  • fLanguage
    English
  • Journal_Title
    Image Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7149
  • Type

    jour

  • DOI
    10.1109/83.772237
  • Filename
    772237