1. On SVD-based watermarking algorithm
Source: Applied Mathematics and Computation, In Press, Corrected Proof, Available online 30 October 2006, 
Author:Kuo-Liang Chung, Wei-Ning Yang, Yong-Huai Huang, Shih-Tung Wu and Yu-Chiao Hsu

2. Outline Related work Propose 2 notes Experiments Conclusions
“SVD-based digital image watermarking scheme”
propose by Chin-ChenChang ,PiyuTsai ,Chia-ChenLin at Pattern Recognition Letters 26 (2005)
Propose 2 notes
Experiments
Conclusions

3. Related work
Motivation
123 U D V

4. Related work Motivation 158 156 159 157 153 155 154 155 154
Original block
JPEG compressed block
158
156
159
157
153
155
154
155
154
U component of original block
U component of JPEG compressed block
0.6127
0.3466
0.0840
0.0122
0.2101
0.0792
0.8102
0.3061
0.6532
0.2678
0.6545
0.4980
0.2699
0.5028

5. Related work Motivation |-0.5008|-|-0.5000| =0.008>0
0.6532
0.2678
0.6545
0.4980
0.2699
0.5028
0.6127
0.3466
0.0840
0.0122
0.2101
0.0792
0.8102
0.3061
| |-| |
=0.008>0
Positive relationship
| |-| |
=0.008>0
Positive relationship

6. Related work Embedding 0.002 < 0.0008 < 0.002 < Match case
0.6127
0.3466
0.0840
0.0122
0.2101
0.0792
0.8102
0.3061
0.6127
0.3466
0.0840
0.0122
0.2101
0.0792
0.8102
0.3061
<
<
Unmatch case
T=0.002 =
-|| |+( )/2| =
-|| |-( )/2|
0.6127
0.3466
0.0840
0.0122
0.2101
0.0792
0.8102
0.3061
<

7. Is not positive relation
Related work
Embedding
Differ > T
Algorithm to increase the differ
Embed 1
Is positive relation
Is not positive relation
Swap two values
Swap two values
No change value
No change value

8. Related work Extraction -0.5056 0.6127 -0.4989 0.3466 -0.5014 0.0840
0.0122
0.2101
0.0792
0.8102
0.3061
| |-| |>T
Extraction 1
| |-| |<-T
Extraction 0
0.6127
0.3466
0.0840
0.0122
0.2101
0.0792
0.8102
0.3061

9. Related work 1 1 Water mark1
PRNG or algorithm to detect the complex blocks
Water mark

10. Propose 2 notes
Note 1: For the U component of the SVD, modifying the coefficients in column vector will cause less visible distortion than modifying the coefficients in row vector.
Note 2: For the VT component of the SVD, modifying the coefficients in the row vector will cause less visible distortion than modifying the coefficients in column vector.

11. Experiment result

12. Experiment result Table 1 PSNR performance under different thresholds
Images
T = 0.002
T = 0.012
T = 0.02
T = 0.04
LenaU LenaUV PeppersU PeppersUV
Table Error rate under three attacks with T = 0.012
JPEG QF = 70
Noise 5%
Cropping 25%
LenaU LenaV PeppersU peppersV

13. Conclusions
Propose 2 notes to increase the invisibility and capacity of the SVD-based watermarking scheme.
Embedding the watermarking in U and V components.