Asymptotic Analyses of Visual Distortions: A New Approach to Defining Transparency

  • Authors:
  • Nicholas Tran;Lianju Wang

  • Affiliations:
  • -;-

  • Venue:
  • PCM '02 Proceedings of the Third IEEE Pacific Rim Conference on Multimedia: Advances in Multimedia Information Processing
  • Year:
  • 2002

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Abstract

We define transparent watermarking algorithms as those whose expected distortions of input images are at most c log l, as measured under the average absolute difference metric (l is the range of possible pixel values, and c is a positive constant.) Our definition is based on asymptotic analyses of the expected distortions caused by two prototypical watermarking methods generally considered as transparent: the Patchwork and NEC methods. We also propose some shift-resistant variants of these distortion metrics that incorporate alignment techniques used in DNA string comparisons. Experiments show that these new distortion metrics yield much smaller values when a small number of columns are deleted.