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On the Choice of the Mother Wavelet for Perceptual D ata Hiding

On the Choice of the Mother Wavelet for Perceptual D ata Hiding. Corina Nafornita, Alexandru Isar Politehnica University of Timisoara Email: {corina.nafornita, alexandru.isar@etc.upt.ro}. Goal. P erceptual data hiding in the wavelet domain What is the “ best ” mother wavelet ?

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On the Choice of the Mother Wavelet for Perceptual D ata Hiding

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  1. On the Choice of the Mother Wavelet forPerceptual Data Hiding Corina Nafornita, Alexandru Isar Politehnica University of Timisoara Email: {corina.nafornita, alexandru.isar@etc.upt.ro} ISSCS 2009, Iasi, Romania

  2. Goal • Perceptual data hiding in the wavelet domain • What is the “best” mother wavelet ? • JPEG2000 standard ISSCS 2009, Iasi, Romania

  3. Watermark IDWT DWT Marked Original Mask Barni et al., 2001 Daubechies-6 ISSCS 2009, Iasi, Romania

  4. Pros & cons • Artifacts  low resolution mask • High resolution mask • Watermark can easily be erased • Use all resolution levels (not addresed here) • Simple implementation • No need of original image ISSCS 2009, Iasi, Romania

  5. Mask estimation Low resolution vs. High resolution (Barni et al.,2001) (Nafornita et al.,2006) ISSCS 2009, Iasi, Romania

  6. Choice of the mother wavelet • Both methods use Daubechies-6. • What is the best choice for the mother wavelet? • Set: • db2, db3, … db7 (n vanishing moments) • Daubechies 9/7 (bior4.4), 5/3 LeGall (bior2.2) – used in JPEG2000 standard ISSCS 2009, Iasi, Romania

  7. Test images Lena Texmos1p.512 Baboon Picasso ISSCS 2009, Iasi, Romania

  8. 1/Homogeneous 00.045 Region segmentation 2/Textures 0.045 0.35 3/Contours 0.351 Criterion: normalized localstandard deviation ISSCS 2009, Iasi, Romania

  9. Invisibility: PSNR ISSCS 2009, Iasi, Romania

  10. JPEG compression, Q=50 ISSCS 2009, Iasi, Romania

  11. Median filtering, 3x3 ISSCS 2009, Iasi, Romania

  12. Resizing, 3/4 ISSCS 2009, Iasi, Romania

  13. Cropping, 256x256 ISSCS 2009, Iasi, Romania

  14. JPEG2000, CR=20 ISSCS 2009, Iasi, Romania

  15. Conclusions • For the perceptual watermarking using the DWT the “best” mother wavelet bior2.2 • recommended in the JPEG2000 standard • In most cases, Nafornita et al. 2006 using mother wavelet bior2.2 outperformsBarni et al., 2001 using Daubechies-6 kernel • bior2.2 – more compact support, suitable for edges (contours) ISSCS 2009, Iasi, Romania

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