SVD Based Robust Digital Watermarking For Still Images Using Wavelet Transform

D.C. Wyld, et al. (Eds): CCSEA 2011, CS & IT 02, pp. 155–167, 2011.
© CS & IT-CSCP 2011 DOI: 10.5121/csit.2011.1216
SVD Based Robust Digital Watermarking For Still
Images Using Wavelet Transform
S.Ramakrishnan1
, T.Gopalakrishnan2
, K.Balasamy3
1,3
Department of Information Technology
ram_f77@yahoo.com
balasamyk@yahoo.co.in
2
Department of Electrical and Electronics Engineering
tgkme@yahoo.com
Dr.Mahalingam College of Engineering and Technology, Tamilnadu, India.
ABSTRACT
This paper aims at developing a hybrid image watermarking algorithm which satisfies both
imperceptibility and robustness requirements. In order to achieve our objectives we have used
singular values of Wavelet Transformation’s HL and LH sub bands to embed watermark.
Further to increase and control the strength of the watermark, we use a scale factor. An optimal
watermark embedding method is developed to achieve minimum watermarking distortion. A
secret embedding key is designed to securely embed the fragile watermarks so that the new
method is robust to counterfeiting, even when the malicious attackers are fully aware of the
watermark embedding algorithm. Experimental results are provided in terms of Peak signal to
noise ratio (PSNR), Normalized cross correlation (NCC) and gain factor to demonstrate the
effectiveness of the proposed algorithm. Image operations such as JPEG compression from
malicious image attacks and, thus, can be used for semi-fragile watermarking.
KEYWORDS
Watermarking, Wavelet transform, multiscale embedding, Wavelet subspaces.
1. INTRODUCTION
Digital media offers several distinct advantages over analog media, such as high quality, easy
editing, high performance and easy duplication. The high spreading of broadband networks and
new developments in digital technology has made ownership protection and authentication of
digital multimedia a very important issue. Digital watermarking provides a possible solution to
the problem of easy editing and duplication of images, since it makes possible to identify the
author of an image by embedding secret information in it.
Watermarking systems are robust or fragile. Robust watermarks are designed to resist any
modifications and are designed for the copyright protection. Fragile watermarks are designed to
fail whenever the cover work is modified and to give some measure of the tampering. Fragile

156 Computer Science & Information Technology (CS & IT)
watermarks are used in authentication. The fragile watermarks can be embedded in either the
space domain or the transformed domain of an image. In the space domain, several fragile
watermarking methods that utilize the least significant bit (LSB) of image data. A digital
signature of the most significant bits of an image block is replaced by the least significant bits of
the same block on a secret user key.
Watermarking techniques can be broadly classified into two categories spatial domain methods
and Frequency (transform) domain methods [3] and [4]. Spatial domain methods are based on
direct modification of the values of the image pixels, so the watermark has to be imbedded in this
way. Such methods are simple and computationally efficient, because they modify the color,
luminance or brightness values of a digital image pixels, therefore their application is done very
easily, and requires minimal computational power.
Frequency (transform) domain methods are based on the using of some invertible transformations
like discrete cosine transform (DCT), discrete Fourier transform (DFT), discrete wavelet
transform (DWT) etc. to the host image. Embedding of a watermark is made by modifications of
the transform coefficients, accordingly to the watermark or its spectrum. Finally, the inverse
transform is applied to obtain the marked image. This approach distributes irregularly the
watermark over the image pixels after the inverse transform, thus making detection or
manipulation of the watermark more difficult. The watermark signal is usually applied to the
middle frequencies of the image, keeping visually the most important parts of the image (low
frequencies) and avoiding the parts (presented by high frequencies), which are easily destructible
by compression or scaling operations. These methods are more complicated and require more
computational power. The rest approaches are based on various modifications of both methods
above, using useful details of them to increase the quality of whole watermarking process.
It is well known that there are three main mutually conflicting properties of information hiding
schemes: capacity, robustness and indefectibility [4]. It can be expected that there is no a single
watermarking method or algorithm with the best quality in the sense that three mentioned above
properties have the maximum value at once. But at the same time it is obvious that one can reach
quite acceptable quality by means of combining various watermarking algorithms and by means
of manipulations in the best way operations both in the spatial and in the frequency domains of an
image. In paper [5] an approach to combining of DWT and DCT to improve the performance of
the watermarking algorithms, which are based solely on the DWT, is proposed. Watermarking
was done by embedding the watermark in the first and second level DWT sub-bands of the host
image, followed by the application of DCT on the selected DWT sub bands. The combination of
these two transforms improved the watermarking performance considerably when compared to
the DWT-only watermarking approach. As a result this approach is at the same time resistant
against copy attack. In addition, the fragile information is inserted in a way which preserves
robustness and reliability of the robust part.
The paper is organized as follows. An introduction about the paper is given in Section I. The
proposed approach is presented in Section II. Experimental results are demonstrated in Section
III. Conclusions and scope for future work are drawn in Section IV.

Computer Science & Information Technology (CS & IT) 157
1.2. DIGITAL IMAGE WATERMARKING IN THE WAVELET DOMAIN
Wi
Watermark W IN
Information Watermark
K
I K Key I Image Key attacks Processing
Image
Fig.1 Digital image watermarking framework Image Key
The DWT can be implemented as a multistage transformation. An image is decomposed into four
subbands denoted LL, LH, HL, and HH at level 1 in the DWT domain, where LH, HL, and HH
represent the finest scale wavelet coefficients and LL stands for the coarse-level coefficients. The
LL subband can further be decomposed to obtain another level of decomposition. The
decomposition process continues on the LL subband until the desired number of levels
determined by the application is reached. Since human eyes are much more sensitive to the low-
frequency part (the LL subband), the watermark can be embedded in the other three subbands to
maintain better image quality. The basic idea behind the SVD-based watermarking techniques is
to find the SVD of the cover image or each block of the cover image, and then modify the
singular values to embed the watermark.
L - Low Frequency Sub bands
H- High Frequency Sub bands
1,2 – Decomposition Levels
Fig.2. Wavelet transformation on images
Lahouari Ghouti , Ahmed Bouridane, Mohammad K. Ibrahim and Said Boussakta [2] have
proposed a new perceptual model, which is only dependent on the image activity and is not
dependent on the multifilter sets used. To achieve higher watermark robustness, the watermark
embedding scheme is based on the principles of spread-spectrum communications.
Watermark
Coding
Watermark
embedding
Image transformation
Watermark
recovery

Satisfying both imperceptibility and robustness for an image watermarking technique always
remains a challenge because both are conflicting requirements. Since performing SVD on an
image is computationally expensive, a hybrid DWT-SVD-based watermarking scheme is
developed that requires less computation effort yielding better performance. Rather than
embedding watermark directly into the wavelet coefficients, Chih-Chin Lai and Cheng-Chih Tsai
have proposed to embed watermark in to the elements of singular values of the image’s DWT sub
bands. [4]
In order achieve both image authentication and protection simultaneously, Chun-Shien Lu , and
Hong-Yuan Mark Liao [5] proposes a cocktail watermarking which can resist different kinds of
attacks and embed 2 watermarks (fragile & Robust). Existing systems have used invariant
properties of DCT coefficients and relationships between the coefficients for watermark
embedding but they modify a large amount of data and produces maximum distortion. So a new
method that uses Gaussian mixture model, Expectation Maximization algorithm, secret
embedding key and private key for watermark embedding is proposed by Hua Yuan and Xiao-
Ping Zhang [6].
Though there are existing systems that provides perceptual invisibility and robustness,
YiweiWang, John F. Doherty & Robert E. Van Dyck [8] have proposed a new wavelet based
technique for ownership verification by giving importance to the private control over the
watermark and using randomly generated orthonormal filter banks. Liehua Xie and Gonzalo R.
Arce [9] have proposed a concept of using compression algorithms which are based on wavelet
decompositions. In this approach, the SPIHT compression algorithm is executed to obtain a
hierarchical list of the significant coefficients and at least 3 coefficients that correspond to the
ones with the largest absolute is selected. The watermark is embedded into the host image based
on the selected coefficients.
Mauro Barni, Franco Bartolini and Alessandro Piva [10] have proposed a new algorithm different
from other existing systems in wavelet domain where the masking is performed pixel by pixel by
taking into account the texture and the luminance content of all the image sub bands.A blind
watermarking scheme that is robust against JPEG compression, Gaussian noise, salt and pepper
noise, median filtering, and ConvFilter attacks was proposed by Ning Bi, Qiyu Sun, Daren
Huang, Zhihua Yang, and Jiwu Huang [11]. This new approach uses Multiband wavelet
transform and they embed the watermark bits in the mean trend of some middle-frequency sub
images in the wavelet domain.
T. M. Ng and H. K. Garg [12] use a Laplacian model in place of Gaussian distribution along with
the ML detection for better performance. Existing systems make use of wavelet coefficients and
embed watermark bits directly into the coefficients whereas the system proposed by Shih-Hao
Wang and Yuan-Pei Lin [13] groups the wavelet coefficients into super tress and embed
watermarks by quantizing super trees.
Generally different resolutions of an image can be obtained using wavelet decomposition. Since
human eyes are insensitive to the image singularities revealed by high frequency sub-bands,
adding watermark to these singularities increases the quality of the image by providing
imperceptibility. But the existing wavelets have limited ability to reveal singularities in all
directions. So Xinge You, Liang Du & Liang Du [15] construct the new nontensor product
wavelet filter banks, which can capture the singularities in all directions.A novel multipurpose
digital image watermarking method [16] has been proposed based on the multistage vector
quantizer structure, which can be applied to image authentication and copyright protection
applications.

Let X be the original gray-level image of size N1 X N2, and the digital watermark be a binary
image of size M1 X M2 as shown in Fig 2 and Fig 3. The middle-frequency range of the host
image will be processed during the watermark embedding. For more robust and invisible
embedding, the amount of information to be embedded should be reduced [7].
The original image X and digital watermark W are represented as
X = { x ( i , j ) , 0 < i < N1, 0 < j < N2 }
W ={ w( i , j ) , 0 < i < M1, 0 < j < M2 }
1.2.1 WATERMARK EMBEDDING
Step 1. For a given Ν×Ν image, apply the discrete wavelet Transform up to 3rd
level,
which produce a total of 9 bands wavelet coefficients.
Step 2. The middle frequency sub-bands HL and LH from 2nd
level of wavelet
decomposition are used to get 3rd
level decomposition.
Step 3 . The watermark of size M×M is converted into binary pattern.
Step 4. The binary image is scaled to the size of original host image and then duplicated.
Step 5. Pseudo random sequence is generated using a secret key and combined with the
duplicated watermark to increase robustness.
Fig 3 .Watermark Image Fig 4 .Host Image
Step 6. The resultant watermark is then embedded into the middle frequency sub-bands
of host image.
Step 7. Finally, inverse DWT is performed to produce the watermarked image.
2.2 WATERMARK EXTRACTION
Step 1.For a given Ν×Ν watermarked image, apply the discrete wavelet Transform up to
3rd
level, which produce a total of 9 bands of wavelet coefficients.
Step 2.The middle frequency sub-bands HL and LH from 2nd
level of wavelet
decomposition are used to get 3rd
level decomposition.
Step 3.Same secret key used in the embedding process enables to generate the random
sequence.
Step 4.Finally, the watermark is extracted from the selected wavelet coefficients.
Step 5. After extracting the final watermark, compares it with the original watermark, to
find the any attacks happened in the original data.

2. PROPOSED WORK
2.1 WATERMARK EMBEDDING
Fig.5. Block Diagram for Watermark Embedding Algorithm
A 1-level Haar DWT is performed on the original image to decompose it into four sub bands (i.e.,
LL, LH, HL, and HH). Then select LH and HL sub bands and perform Singular value
decomposition (SVD) on them. Next the watermark is divided into 2 parts. The singular values in
HL and LH sub bands are modified using the half of the watermark image and then SVD is
applied to them [5]. Also, a scale factor is used along with it to control the strength of the
watermark to be inserted. As a result we obtain two sets of modified DWT coefficients (LH & HL
sub-bands) and two sets of non modified DWT coefficients (LL & HH sub-bands). Inverse DWT
is applied on them to obtain the watermarked image. This is illustrated in fig 4.
A novel multiscale fragile watermarking method that embeds watermarks at multiscale wavelet
subspaces is presented, based on statistical modeling of the image in the wavelet domain. The EM
algorithm consists of two steps. The E step calculates the individual state probabilities for each
wavelet coefficient Ps,i,Pl,i. and the M step involves simple closed-form updates for the variances
[σs
2
,σi
2
] and the overall state probabilities [Ps, Pl]. An overview of the watermark embedding
process authentication messages are first translated into binary bit streams [8]. Then the wavelet
subspaces at multiple scales are divided into a number of wavelet watermarking blocks depending
on the number of message bits being embedded and the number of wavelet scales these bits will
spread into. The binary bit streams are then embedded into the wavelet watermarking blocks by
forming some special relationships defined by the code map. The whole watermarking
embedding process is secure and robust to malicious attacks because it is performed on a private
key basis that guides a secret mapping between embedded bits and their corresponding wavelet
watermarking blocks.
To make the large variance parameter σi
2
the same value as σٰi
2
, each large coefficient si will be
modified by a certain amount si, such that
( )
2
2 2 2
1
1 P j
i i i l l
i
E E E
K
σ σ+
=
 − = −
  
∆∑
- (1)
Perform 1-level
Haar DWT on
original image
Apply SVD on
LH & HL bands
Divide the
watermark in to
2 parts
Modify the singular
values in LH & HL
bands using each
half of watermark
Obtain 2 sets of
Modified DWT
coefficients
Apply SVD on
LH & HL bands
Apply inverse
DWT
Watermarked
image
Multiscale
Embedding

Where P is the number of coefficients that are modified and K is the total number of coefficients
in the wavelet subspace. It is straightforward to see that once (1) is satisfied, the variance
differences contributed by each coefficient modification will compensate the overall variance
parameter difference.
Suppose σi
2
and σٰi
2
are the large variance parameters of two sets of the wavelet coefficients,
denoted by S and S’. Let si,i=1,..P, represent the P coefficients to be modified in the set S with σi
2
, and the total number of coefficients in that wavelet subspace is K. If each coefficient si, i=1,..P,
is modified by a respective amount si, in order to make σi
2
and σٰi
2
equal, then the optimal way of
modification with least image mean square distortion is that all coefficient si are modified with a
constant proportional rate α , that is, si=αsi, i=1,..P, where the constant α is determined by the
following equation:
2 2 2 2
1
(1 ) ( )
P j
i l lii
E E Kα σ σ=
 + − = − ∑ - (2)
It is noted that the two large variance parameters σi
2
and σٰi
2
should be obtained through the EM
algorithm. Therefore, an iterative approach involving the modification and the EM algorithm in
each single step is required to finally adjust the large variance parameter σi
2
to the target value σٰi
2
as shown in the fig .5.
Fig 6. Flowchart for calculating coefficient

2.2 WATERMARK EXTRACTION
A 1-level Haar DWT is performed on the watermarked (possibly distorted) image. The image is
decomposed it into four sub bands: LL, LH, HL, and HH. Select LH and HL sub bands and
perform Singular value decomposition (SVD) on them. Orthogonal matrices of host image are
combined with the singular value (diagonal vector) of watermarked image and scale factor is
removed from it. Each half of the watermark is extracted from the respective sub-bands .Both half
of the watermarks are combined to obtain the embedded watermark. The extraction process is
shown in Fig.6.
Fig.7. Block Diagram for Watermark Extraction Algorithm
3. EXPERIMENTAL RESULTS
A. Performance criteria
In the evaluation of the performance of the watermarking scheme, we use the normalized mean
square error MSE between the original and watermarked images, respectively, and peak signal to
noise ratio PSNR. The image pixels are assumed to be 8 bits to give a maximum pixel value of
255.
B. Experimental results
The DWT based watermark technique has been applied to several images, including the
256X256 sizes of Cameraman, Lena, Mandrill, and Peppers. In these experiments, we have
chosen a random sequence for creating the watermark matrices. The embedded watermarks cause
imperceptible distortion at levels that provide reliable detection.
PSNR (Peak signal to noise ratio) is used to measure the invisibility of the embedded
watermark in carrier image. The experimental value is 55.88db.
NC (normalized cross-correlation) is used to measure the similarity between the extracted
watermark and the original watermark. The value is 0.9966.
Perform 1- level Haar
DWT on original
image
Apply SVD on
LH & HL bands
Inverse Multiscale
Embedding
Combine both the
watermarks to get the
embedded
watermarks
Extract each half of
watermark from
corresponding bands
Combine orthogonal
matrices of original
image & diagonal
matrix of watermarked
image

In order to test the performance of the proposed watermark algorithm, we used a set of
experiments to verify the results of three attacks. From Table1, note that the proposed method can
effectively resist attacks such as Gaussian, salt & pepper and Poisson noises.
Original Image Watermark Watermarked Image
Fig.8. Original, Watermark and Watermarked image of the Proposed Approach
Table1. PSNR values with different noise densities
NOISE NOISE
DENSITY
MSE PSNR-
db
Gaussia
n Noise
0.001
0.005
0.0034
0.0039
28.712
0
28.528
0
Salt &
Pepper
0.001
0.005
1.5259
e-005
1.5259
e-005
53.198
0
48.634
2
Poisson --- 0.0030 31.992
4
0.5 1 1.5 2 2.5 3 3.5 4
46
48
50
52
54
56
58
60
62
GAIN FACTOR
PSNRdb
Fig.9. Gain factor vs PSNR

We observe that the watermarking strength S(I) decreases when the parameter Gain factor ρ
increases, see Table 2 for the experimental results. So in the simulation, the watermarking
strength parameter S(I) and ρ(I) and for an image is chosen as follows:
ρ(I) = 0
S(I) = S(ρ(I),I)
Table 2. PSNR and NCC for different gain factors
GAIN
FACTOR
PSNR-db NCC
0.5 60.4523 0.3565
1 55.889 0.9969
1.5 53.9383 0.7617
2 52.1956 0.6192
2.5 50.8678 0.5503
3 49.7159 0.5108
3.5 48.6042 0.4855
4 47.7310 0.4678
In most of our simulation, the PSNR value is greater than 45 dB as shown in Table 2. This shows
that the algorithm has enough visual imperceptibility and high robustness against various attacks.
S(I)=max{S:PSNR(I,)>=45}
4. CONCLUSION AND FUTURE WORK
The DWT technique provides better imperceptibility and higher robustness against attacks, at the
cost of the DWT compared to DCT schemes. Each watermark bit is embedded in various
frequency bands and the information of the watermark bit is spread throughout large spatial
regions. As a result, the watermarking technique is robust to attacks in both frequency and time
domains. The experimental results show the proposed embedding technique can survive the
cropping of an image, image enhancement and the JPEG lossy compression. However,
improvements in their performance can still be obtained by viewing the image watermarking
problem as an optimization problem. In this paper we applied genetic algorithms. By carefully
defining the “user key,” multiple watermarking and repeatedly embedding to harden the

robustness are available. Our technique could also be applied to the multi resolution image
structures with some modification about the choice of middle frequency coefficients.
In this proposed method the values of the PSNRs of the watermarked images are always greater
than 40 dB and it can effectively resist common image processing attacks, especially by JPEG
compression and low-pass filtering.
REFERENCES
[1] Athanasios Nikolaidis and Ioannis Pitas.(May 2003) ‘Asymptotically Optimal Detection for Additive
Watermarking in the DCT and DWT Domains’, IEEE Transactions On Image Processing
Vol.12,No.5, pp.563-571.
[2] Ahmed Bouridane ,Lahouari Ghouti ,Mohammad K. Ibrahim and Said Boussakta.(April 2006 )
‘Digital Image Watermarking Using Balanced Multiwavelets’ IEEE Transactions On Signal
Processing Vol. 54, No. 4, pp. 1519-1536.
[3] Chun-Hsien Chou and Kuo-Cheng Liu.(November 2010) ‘A Perceptually Tuned Watermarking
Scheme for Color Images’, IEEE Transactions On Image Processing Vol.19, No.11,pp. 2966- 2982.
[4] Chih-Chin Lai and Cheng-Chih Tsai.(November 2010) ‘Digital Image Watermarking Using Discrete
Wavelet Transform and Singular Value Decomposition’, IEEE Transactions On Instrumentation And
Measurement Vol.59, No.11, pp. 3060-3063.
[5] Chun-Shien Lu and Hong-Yuan Mark Liao.(October 2001) ‘Multipurpose Watermarking for Image
Authentication and Protection’ IEEE Transactions On Image Processing Vol. 10, No.10, pp.1579-
1592.
[6] Hua Yuan and Xiao-Ping Zhang.(October 2006),‘Multiscale Fragile Watermarking Based on the
Gaussian Mixture Model’, IEEE Transactions On Image Processing Vol.15, No.10, pp.3189-3200.
[7] Hu Zhihua,(2009) ‘Binary Image Watermarking Algorithm Based on SVD’, International
Conference on Intelligent Human-Machine Systems and Cybernetics pp.400-403.
[8] John, F. Doherty,YiweiWang, and Robert E. Van Dyck,( February 2002) ‘A Wavelet-Based
Watermarking Algorithm for Ownership Verification of Digital Images’, IEEE Transactions On
Image Processing Vol.11, No.2, pp 77-88.
[9] Liehua Xie and Gonzalo R. Arce, Fellow.( November 2001 ) ‘A Class of Authentication Digital
Watermarks for Secure Multimedia Communication’, IEEE Transactions On Image Processing
Vol.10, No.11, pp.1754-1764.
[10] Mauro Barni, Franco Bartolini and Alessandro Piva.(May 2001) “Improved Wavelet-Based
Watermarking Through Pixel-Wise Masking” IEEE Transactions On Image Processing Vol.10, No.5,
pp.783-791.
[11] Ning Bi, Qiyu Sun, Daren Huang, Zhihua Yang, and Jiwu Huang.(August 2007) ‘Robust Image
Watermarking Based on Multiband Wavelets and Empirical Mode Decomposition’, IEEE
Transactions On Image Processing Vol.16, No. 8, pp.1956-1966.
[12] Ng, T. M. and Garg, H. K.(April 2005 ) ‘Maximum-Likelihood Detection in DWT Domain Image
Watermarking Using Laplacian Modeling’, IEEE Signal Processing Letters Vol.12, No.4, pp. 285-
288.
[13] Shih-Hao Wang and Yuan-Pei Lin.(August 2007) ‘Wavelet Tree Quantization for Copyright
Protection Watermarking’, IEEE Transactions On Image Processing Vol.16, No.8, pp.1956-1966.
[14] Sabrina Lin, W. , Steven, K. Tjoa, H. Vicky Zhao and Ray Liu, K. J. Fello.,(September 2009),‘Digital
Image Source Coder Forensics Via Intrinsic Fingerprints’ IEEE Transactions On Information
Forensics And Security Vol.4,No.3,pp.460-475.

[15] Xinge You, Liang Du, Yiu-ming Cheung and Qiuhui Chen.(December 2010) ‘A Blind Watermarking
Scheme Using New Non tensor Product Wavelet Filter Banks’, IEEE Transactions On Image
Processing, Vol.19, No.12, pp.3271-3284.
[16] Zhe-Ming Lu, Dian-Guo Xu and Sheng-He Sun,( June 2005) ‘Multipurpose Image Watermarking
Algorithm Based on Multistage Vector Quantization’ IEEE Transactions On Image Processing
Vol.14,No.6, pp.822-831.
[17] Chiou-Ting Hsu and Ja-Ling Wu,( January 1999), “Hidden Digital Watermarks in Images” IEEE
Transactions On Image Processing,Vol. 8, No. 1, pp 65-67.
[18] Digital watermarking, http://en.wikipedia.org/wiki/watermarking.
[19] DWT materials, http://en.wikipedia.org/wiki/DWT
[20] Rafael C Gonzalez, Richard Eugene Woods, ‘Digital Image Processing’ (second edition). Upp er
Saddle River,. NJ: Prentice Hall, 2002
[21] Jillian Cannons, Pierre Moulin,( October 2004),’Design and Statistical Analysis of a Hash-Aided
Image Watermarking System’, IEEE Transactions On Image Processing, Vol. 13, No. 10.
[22] Masoud Alghoniemy and Ahmed H. Tewfik,( February 2004) ‘Geometric Invariance in Image
Watermarking’, IEEE Transactions On Image Processing, Vol. 13, No. 2.
[23] Nasir Memon and Ping Wah Wong, (April 2001), ‘A Buyer–Seller Watermarking Protocol’, IEEE
Transactions On Image Processing, Vol. 10, No. 4.
[24] Gerrit C. Langelaar and Reginald L. Lagendijk, (January 2001), ‘Optimal Differential Energy
Watermarking of DCT Encoded Images and Video’, IEEE Transactions On Image Processing, Vol.
10, No. 1.
[25] Liehua Xie and Gonzalo R. Arce,( November 2001), ‘A Class of Authentication Digital Watermarks
for Secure Multimedia Communication’, IEEE Transactions On Image Processing, Vol. 10, No. 11.
[26] Changsheng Xu, Jiankang Wu, and Qibin Sun.(April 2000),’ ‘Audio registration and its application to
digital watermarking. Security and Watermarking of Multimedia Contents’, Proc.SPIE-3971:393–
401, 2000.
[27] G. Xuan, Y. Q. Shi, J. Gao, D. Zou, C. Yang, Z. Zhang, P. Chai, C. Chen, and W. Chen,(June 2005),
‘.Steganalysis based on multiple features formed by statistical moments of wavelet characteristic
functions’. In Proceedings 7th Information Hiding Workshop, Barcelona,Spain, June 6–8, 2005, 2005.
[28] G. Xuan, Q. Yao, C. Yang, J. Gao, P. Chai, Y. Q. Shi, and Z. Ni.( November 2006), ‘ Lossless data
hiding using histogram shifting method based on integer wavelets’. Proc. Int. Workshop on Digital
Watermarking, volume 4283, pages 323–332, November 2006.
[29] W. S. E. Yang and W. Sun.(June 2006), ‘On information embedding when watermarks and cover
texts are correlated’. In IEEE International Symposium on Information Theory, pages 346–350, 2006.
[30] Nakajima Yasumasa, Ichihara Shintaro, and Mogami Kazuto.(Sepetember 1999), ‘Digital camera and
image authentication system using the same’. Japanese Patent, JP 11215452, 1999.
[31] B.-L. Yeo and M. M. Yeung.(July 1999), ‘Watermarking 3D objects for verification’. IEEE Computer
Graphics and Applications, 19(1):36–45, 1999.
[32] M. Yeung and F. Mintzer.(October 1997), ‘An invisible watermarking technique for image
verification’.In Proc. Int. Conf. Image Processing, volume 1, pages 680–683, 1997.
[33] Gwo-Jong Yu, Chun-Shien Lu, H. Y. M. Liao, and Jang-Ping Sheu.(June 2000), ‘Mean quantization
blind watermarking for image authentication’. In IEEE Int. Conf. on Image Processing,volume 3,
pages 706–709, 2000.

Authors
Dr.S.Ramakrishnan received the B.E. degree in Electronics and
Communication Engineering in 1998 from the Bharathidasan University, Trichy,
and the M.E. degree in Communication Systems in 2000 from the Madurai
Kamaraj University, Madurai. He received his PhD degree in Information and
Communication Engineering from Anna University, Chennai in 2007.
He has 11 years of teaching experience and 1 year industry experience. He is a
Professor and the Head of the Department of Information Technology,
Dr.Mahalingam College of Engineering and Technology, Pollachi, India.
Dr.Ramakrishnan is a Reviewer of 14 International Journals such as IEEE
Transactions on Image Processing, IET Journals(Formally IEE), ACM Reviewer for Computing Reviews,
Elsevier Science, International Journal of Vibration and Control, IET Generation, Transmission &
Distribution, etc. He is in the editorial board of 4 International Journals. He is a Guest Editor of special
issues in 2 international journals. He has published 45 papers in international, national journals and
conference proceedings.Dr.S.Ramakrishnan has published a book for LAP, Germany. He has also
reviewed 2 books for McGraw Hill International Edition and 1 book for ACM Computing Reviews. He is
the convenor of IT board in Anna University of Technology- Coimbatore Board of Studies(BoS). He is
guiding 6 PhD research scholars. His areas of research include digital image processing, soft
computing,human-computer interaction and digital signal processing.
Mr.K.Balasamy received the B.E. degree in Information Technology Engineering
in 2006 from the Anna University, Chennai, and the M.E. degree in Computer
Science and Engineering in 2009 from the Anna University of Technology,
Coimbatore. He is a research scholar under the faculty of Computer Science and
Engineering in Anna University of Technology, Coimbatore.
He is an Assistant Professor in the Department of Information Technology,
Dr.Mahalingam College of Engineering and Technology, Pollachi, India.
His areas of interest include database management, image processing, enterprise
computing.

SVD Based Robust Digital Watermarking For Still Images Using Wavelet Transform

More Related Content

What's hot (15)

Similar to SVD Based Robust Digital Watermarking For Still Images Using Wavelet Transform (20)

More from cscpconf (20)

Recently uploaded (20)

SVD Based Robust Digital Watermarking For Still Images Using Wavelet Transform