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Some theoretical bounds on the capacity of watermarking channelswith geometrical distortions
Baudry, S.   Nguyen, P.   Maitre, H.  
Thales Commun., Gennevilliers;

This paper appears in: Image Processing, 2001. Proceedings. 2001 International Conference on
Publication Date: 2001
Volume: 3,  On page(s): 995-998 vol.3
Meeting Date: 10/07/2001 - 10/10/2001
Location: Thessaloniki, Greece
ISBN: 0-7803-6725-1
References Cited: 8
INSPEC Accession Number: 7230964
Digital Object Identifier: 10.1109/ICIP.2001.958293
Current Version Published: 2002-08-07

Abstract
Watermarking can be modeled as a transmission through a steganographic channel. Most of the channel studied up to now in the literature were additive or substitutive channels where the noise modifies the data values. But other modifications occur frequently during the watermark life, namely geometric distortions: images may be cropped, scaled and even non-linearly distorted by digital/analog conversion or by an attacker. We model here the geometric transformations by a geometric channel, and compute the expression of capacity for a channel with shift and for a channel with jitter. We also compare the theoretic bounds obtained to the rate achieved by some watermarking methods

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