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

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Book cover Advances in Multimedia Information Processing — PCM 2002 (PCM 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2532))

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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.

This research is partially supported by the US Air Force Office of Scientific Research under Grant F49620-00-1-03 and matching support from the Kansas Technology Enterprise Corporation.

Our proposal is patterned after historical developments in the field of analysis of algorithms. In the early days, the performance of an algorithm was often reported

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© 2002 Springer-Verlag Berlin Heidelberg

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Tran, N., Wang, L. (2002). Asymptotic Analyses of Visual Distortions: A New Approach to Defining Transparency. In: Chen, YC., Chang, LW., Hsu, CT. (eds) Advances in Multimedia Information Processing — PCM 2002. PCM 2002. Lecture Notes in Computer Science, vol 2532. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36228-2_56

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  • DOI: https://doi.org/10.1007/3-540-36228-2_56

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00262-8

  • Online ISBN: 978-3-540-36228-9

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