Embedding Distortion Modeling for Non-orthonormal Wavelet based Watermarking Schemes

Deepayan Bhowmik, Charith Abhayaratne

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

3 Citations (Scopus)

Abstract

In this paper a universal embedding distortion model for wavelet based watermarking is presented. The present work extends our previous work on modelling embedding distortion for watermarking algorithms that use orthonormal wavelet kernels to non-orthonormal wavelet kernels, such as biorthogonal wavelets. By using a common framework for major wavelet based watermarking algorithms and the Parseval's energy conservation theorem for orthonormal transforms, we propose that the distortion performance, measured using the mean square error (MSE), is proportional to the sum of energy of wavelet coefficients to be modified by watermark embedding. The extension of the model to non-orthonormal wavelet kernel is obtained by rescaling the sum of energy of wavelet coefficients to be modified by watermark embedding using a weighting parameter that follows the energy conservation theorems in wavelet frames. The proposed model is useful to find optimum input parameters, such as, the wavelet kernel, coefficient selections and subband choices, for a given wavelet based watermarking algorithm.

Original languageEnglish
Title of host publicationWAVELET APPLICATIONS IN INDUSTRIAL PROCESSING VI
EditorsF Truchetet, O Laligant
Place of PublicationBELLINGHAM
PublisherSPIE
Number of pages12
ISBN (Print)978-0-8194-7498-8
DOIs
Publication statusPublished - 2009
EventConference on Wavelet Applications in Industrial Processing VI - San Jose, Canada
Duration: 21 Jan 200922 Jan 2009

Publication series

NameProceedings of SPIE-The International Society for Optical Engineering
PublisherSPIE-INT SOC OPTICAL ENGINEERING
Volume7248
ISSN (Print)0277-786X

Conference

ConferenceConference on Wavelet Applications in Industrial Processing VI
CountryCanada
Period21/01/0922/01/09

Keywords

  • Watermarking
  • wavelets
  • embedding distortion
  • biorthogonal wavelets
  • IMAGE WATERMARKING

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