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Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011
DOI : 10.5121/sipij.2011.2214 170
Digital Signature and Watermark Methods
For Image Authentication using Cryptography
Analysis
1
M.Sreerama Murty, 2
D.Veeraiah, 3
A.Srinivas Rao
1
Department of Computer Science and Engineering
Sai Spurthi Institute of Technology,Khamamm,Andhra Pradesh,India
sreerammaturi@yahoo.com
2
Department of Computer Science and Engineering
Sai Spurthi Institute of Technology,Khamamm,Andhra Pradesh,India
veeraiahdvc@gmail.com
3
Department of Computer Science and Engineering
Sai Spurthi Institute of Technology,Khamamm,Andhra Pradesh,India
srinivas.ada@gmail.com
Abstract
The digital signature and watermarking methods are used for image authentication. Digital signature
encodes the signature in a file separate from the original image. Cryptographic algorithms have suggested
several advantages over the traditional encryption algorithms such as high security, speed, reasonable
computational overheads and computational power. A digital watermark and signature method for image
authentication using cryptography analysis is proposed. The digital signature created for the original
image and apply watermark. Images are resized before transmission in the network. After digital signature
and water marking an image, apply the encryption and decryption process to an image for the
authentication. The encryption is used to securely transmit data in open networks for the encryption of an
image using public key and decrypt that image using private key.
Keywords: Digital Signature, Water Marking, Cryptography, Authentication, security
1. Introduction
1.1 Digital Signature
Digital signature is a sort of Cryptography. Cryptography means keeping communications
private. Its mainly used for the converting of the information is encryption and decryption. No
one can’t access the information without access key.
The main process of the digital signature is similarly as the handwritten signauture.its like
paper signature and it having the digital certificate using this verifies the identity.
Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011
171
1.2 Watermarking
Watermarking is a sub-discipline of information hiding. It is the process of embedding
information into a digital signal in a way that is difficult to remove. It’s providing copyright
protection for intellectual method that’s in digital format.
1.3 Cryptography
The cryptography is providing better mechanisms for information security. In this analysis to
provide the public and private keys for recovery the original information. The ability store and
transfer sensitive information. By using the different encryption methods for generating public
keys, decryption using for private keys.
This method applied to digital signatures and watermarking for to provide high security in
transactions.
2. Literature Survey
2. 1 “Digital Signature and Digital Watermark Scheme for Image Authentication”
This paper is investigate the combination of digital signature and watermarking is applied a host
image for authentication process. The original images are having the water mark and apply the
digital signature on it before the transmission in the internet.
2.2 “A New Algorithm of Encryption and Decryption of Images Using Chaotic
Mapping”
The combination of chaotic theory and cryptography forms an important field of information
security. In this paper implement encryption and decryption using chaotic mapping applying
plain-image.
2.3“Image Encryption Using Block-Based Transformation Algorithm”
Encryption is used to securely transmit data in open networks. In this paper developed for the
confidential image data from unauthorized access. The original images was divided into sub
images and apply the transformation algorithms for better security.
3. Methodologies
3.1 Digital signature and Watermarking
Digital signature is a sort of Cryptography. Cryptography means keeping communications
private. It deals with encryption, decryption and authentication.
3.1.1. Secret key or Symmetric Cryptography
In this processes sender and receiver massages have to know the similarly key for encryption and
decryption of a message.
Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011
172
3.1.2 Public key or Asymmetric Cryptography
Asymmetric Cryptography involves two related keys, one of which only the the private key and
the other 'public key.
3.1.3 Creation of Digital Signature
The creation of digital signature is done by getting the details from administrator, and the created
signature is posted to the signature table and this is used by the certification authority. This is
done by the certification authority and creates a personal identification to the person. This is
carried out by using the Digital Signature Algorithm and the Secure Hashing algorithm. This
digital signature provides a personalization.
Fig 3.1.1: Using the SHA with the DSA
3.1.4 Digital Signature Algorithm
(i) GLOBAL PUBLIC-KEY COMPONENTS
1. p = a prime number, where 2L-1
< p < 2L
for 512 = < L = <1024 and L a multiple of
64
2. q = a prime divisor of p - 1, where 2159
< q < 2160
3. g = h(p-1)/q
mod p, where h is any integer with 1 < h < p - 1 such that h(p-1)/q
mod P>1
(g has order q mod p).
(ii) THE USER’S PRIVATE KEY:
x = a randomly or pseudo randomly generated integer with 0 < x < q
(iii) USER’S PUBLIC KEY:
y = gx
mod p
(iv) USER’S PER-MESSAGE SECRET NUMBER:
k = a randomly or pseudo randomly generated integer with 0 < k < q
Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011
173
3.2. Watermarking Digital Signature
Digital image watermarking schemes mainly fall into two broad categories:
3.2.1 Spatial-domain techniques
The spatial –domain techniques consist of two categories, these are
a) Least-Significant Bit (LSB): The given image contains pixels these pixels are indicated by
the 8-bit sequence, the watermarks are linked two the last, bit of selected pixels of the original
image. its used to hide the information and attackers could not destroy the information.
b) SSM-Modulation-Based Technique: These technique are applied in the water marking
algorithms with an linked information and attached to the original image with pseudo noise signal
,its modulated by the watermark.
3.2.2 Frequency-domain techniques
The frequency-domain techniques mainly used for watermarking of the human visual system are
better captured by the spectral coefficients.
The transforms are broadly categorized in two ways
(a) Discrete Cosine Transformation (DCT)
(b) Discrete Wavelet Transformation (DWT)
The following figures are explained about Discrete Cosine Transformation and Discrete Wavelet
Transformation.
Original Image Water Marked Image
Fig: 3.2.2.1 One Level DWT
Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011
174
Original Image Water Marked Imag
Fig: 3.2.2 .2 Two Level DWT
Original Image Water Marked Image
Fig: 3.2.2.4 Three Levels DWT
The above process of 2-D discrete wavelet transforms are divided into three sub images for
providing the watermarking for host image.
3.2.3 Authentication using image verification
This is done by authentication verifier, initially he logins with person date of birth and
passport/driving license information and extracts the signature, and these details are submitted for
the verification process. By this image verification is done and can know the details.
4. Cryptography
An encryption system is also called a cipher, or a cryptosystem. The message consists of
plaintext, and cipher text. Denote the plaintext and the cipher text by P and C, respectively. The
encryption procedure of a cipher can be described as C = EKe (P), where Ke is the encryption key
and E is the encryption function. Similarly, the decryption procedure is P = DKd (C), where Kd is
the decryption key and D is the decryption function. For public-key ciphers, the encryption key
Ke is published, and the decryption key Kd is kept private, for which no additional secret channel
is needed for key transfer.
Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011
175
Fig: 4.1 Encryption and Decryption
5. Experimental Results
5.1 Water Marking
The given picture shows the watermarking in the bottom at left corner
Figure 5.1.1 watermarking
Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011
176
5.2 Watermarking as digital signature
The given picture shows the watermarking with digital signature in the bottom at left corner
Fig 5.2.1 watermarking as digital signature
5.3 Encryption for image
The given picture shows the encryption for image
Fig: 5.3.1 Encryption
Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011
177
5.4 Decryption for image
The given picture shows the decryption for image
Fig: 5.4.1 Decryption
6. Conclusion
Digital signature and watermark are two techniques used for copyright protection and
authentication, respectively. In this paper a digital signature and watermark methods are used
cryptography analysis proposed for image security. Experiments show our scheme is robust to
reasonable compression rate while preserving good image quality, and capable to authentication.
7. Future Work
Future work will be focused on more robust signature extraction method and possible ways to
recover the illegally modified image without the original image.
References
[1] G.L. Friedman, “The Trustworthy Digital Camera: Restoring Credibility to the Photographic
image”, IEEE Transaction on Consumer Electronics, Vol. 39, No.4, 1993, pp. 905-910.
[2] J. Cox, J. Killian, F.T. Leighton, and T. Shamoon, “Secure Spread Spectrum Watermarking for
Multimedia”, IEEE Transactions on Image Processing, Vol.6, No. 12, 1997, pp.1673-1678.
[3] C.-Y. Lin and S.-F. Chang, “A Robust Image Authentication Method Distinguishing JPEG
Compression from Malicious Manipulation”, IEEE Transaction on Circuits and Systems of Video
Technology, Vol. 11, No. 2, 2001, pp.153-168.
[4] J. Fridrich, “Robust Bit Extraction from Images”, in Proceedings of IEEE International
Conference on Multimedia Computing and Systems (ICMCS’99), Vol. 2, 1999, pp. 536-540.
[5] S.S.Maniccam, N.G. Bourbakis, “Lossless image compression and encryption using SCAN”,
Pattern Recognition 34 (2001), 1229-1245
Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011
178
[6] Chin-Chen Chang, Min-Shian Hwang, Tung-Shou Chen, “A new encription algorithm for image
cryptosystems”, The Journal of Systems and Software 58 (2001), 83-91
[7] Jiun-In Guo, Jui-Cheng Yen, “A new mirror-like image encryption algorithm and its VLSI
architecture”, Department of Electronics Engineering National Lien-Ho College of Technology
and Commerce, Miaoli, Taiwan, Republic of China
[8] Jui-Cheng Yen, Jiun-In Guo, “A new chaotic image encryption algorithm“,Department of
Electronics Engineering National Lien-HoCollege of Technology and Commerce, Miaoli, Taiwan,
Republic of China, E-mail: jcyen@mail.lctc.edu.tw
[9] Shuqun Zhang and Mohammed A. Karim, “Color image encryption using double random phase
encoding”, MICROWAVE AND OPTICALTECHNOLOGY LETTERS Vol. 21, No. 5, June 5
1999, 318-322
[10] Young-Chang Hou, “Visual cryptography for color images”, PatternRecognition 36 (2003),
www.elsevier.com/locate/patcog, 1619-1629
[11] C. Yen and J. I. Guo, “A new image encryption algorithm and its VLSI architecture.” in
Proceedings of IEEE workshop on signal processing systems, pp. 430–437, 1999.
[12] M. V. Droogenbroech, R. Benedett, "Techniques for a selective encryption of uncompressed and
compressed images," In ACIVS’02, Ghent, Belgium. Proceedings of Advanced Concepts for
Intelligent Vision Systems,2002.
[13] S. Changgui, B. Bharat, "An efficient MPEG videoencryption algorithm, " Proc e edings of the
symposium on reliable distributed systems, 2002, page(s):708,711.
[14] A. Mitra, , Y V. Subba Rao, and S. R. M. Prasnna, "A new image encryption approach using
combinational permutation techniques," Journal of computer Science, vol. 1, no. 1, p.127, 2006,
Available:http://www.enformatika.org
[15] A. Sinha, K. Singh, "Image enc rypt ion by us ing f r a c t iona l Fo ur i e r t r ans fo rm and J igs
aw t ransform in image bi t planes,"Source: optical engineering, spie-int society optical
engineering, vol. 44, no. 5 , 2005, pp.15-18.
[16] M. Sonka, V. Hlavac. and R. Boyle, "Digital image processing," in: image Processing, Analysis,
and Machine Vision, 1998, 2nd ed. http://www.pws.com
[17 ] D. Feldman, "A brief introduction to: information theory, excess entropy and computational
mechanics," college of the atlantic 105 eden street, bar harbor, me 04609, 2002,
http://hornacek.coa.edu/ computer society Press, 1998, pp. 381-386.
Acknowledgements
The Grateful thanks to authors for their helping and valuable comments that have developing of
this paper.
Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011
179
Authors
M.Sreerama Murthy Recived M.Tech in Computer Science and Engineering
from University College of Engineering, JNTU, Kakinada.B.Tech in
Information Technology from Sai Spurthi Institute of Technology
(JNTU,Hyderabad). And now presently working as Assistant Professor Sai
Spurthi Institute of Technology,Khammam.His research interests includes
Mobile Computing,Image Processing,DataMining ,Computer Networks and
Embedded Systems.
D. Veeraiah Recived M.Tech in Computer Scince and Engineering from
Anurag Engineering Coolge (JNTUH),B.Tech in Information Technology from
Mother Teresa Institute of Science and Technology( JNTU,Hyderabad). And
now presently working as Assoc. Professor Sai Spurthi Institute of
Technology,Khammam.His research interests includes Image
Processing,Computer Networks,Mobile Computing,Compiler Design.
A.Srinivas Rao Recived M.Tech in Computer Scince and Engineering from
Anurag Engineering College (JNTUH),B.Tech in Information Technology
from Mother Teresa Institute of Science and Technology( JNTU,Hyderabad).
And now presently working as Assoc. Professor Sai Spurthi Institute of
Technology,Khammam.His research interests includes Mobile
Computing,Image Processing,Computer Networks,Compiler Design

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Digital Signature and Watermark Methods for Image Authentication Using Cryptography Analysis

  • 1. Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011 DOI : 10.5121/sipij.2011.2214 170 Digital Signature and Watermark Methods For Image Authentication using Cryptography Analysis 1 M.Sreerama Murty, 2 D.Veeraiah, 3 A.Srinivas Rao 1 Department of Computer Science and Engineering Sai Spurthi Institute of Technology,Khamamm,Andhra Pradesh,India sreerammaturi@yahoo.com 2 Department of Computer Science and Engineering Sai Spurthi Institute of Technology,Khamamm,Andhra Pradesh,India veeraiahdvc@gmail.com 3 Department of Computer Science and Engineering Sai Spurthi Institute of Technology,Khamamm,Andhra Pradesh,India srinivas.ada@gmail.com Abstract The digital signature and watermarking methods are used for image authentication. Digital signature encodes the signature in a file separate from the original image. Cryptographic algorithms have suggested several advantages over the traditional encryption algorithms such as high security, speed, reasonable computational overheads and computational power. A digital watermark and signature method for image authentication using cryptography analysis is proposed. The digital signature created for the original image and apply watermark. Images are resized before transmission in the network. After digital signature and water marking an image, apply the encryption and decryption process to an image for the authentication. The encryption is used to securely transmit data in open networks for the encryption of an image using public key and decrypt that image using private key. Keywords: Digital Signature, Water Marking, Cryptography, Authentication, security 1. Introduction 1.1 Digital Signature Digital signature is a sort of Cryptography. Cryptography means keeping communications private. Its mainly used for the converting of the information is encryption and decryption. No one can’t access the information without access key. The main process of the digital signature is similarly as the handwritten signauture.its like paper signature and it having the digital certificate using this verifies the identity.
  • 2. Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011 171 1.2 Watermarking Watermarking is a sub-discipline of information hiding. It is the process of embedding information into a digital signal in a way that is difficult to remove. It’s providing copyright protection for intellectual method that’s in digital format. 1.3 Cryptography The cryptography is providing better mechanisms for information security. In this analysis to provide the public and private keys for recovery the original information. The ability store and transfer sensitive information. By using the different encryption methods for generating public keys, decryption using for private keys. This method applied to digital signatures and watermarking for to provide high security in transactions. 2. Literature Survey 2. 1 “Digital Signature and Digital Watermark Scheme for Image Authentication” This paper is investigate the combination of digital signature and watermarking is applied a host image for authentication process. The original images are having the water mark and apply the digital signature on it before the transmission in the internet. 2.2 “A New Algorithm of Encryption and Decryption of Images Using Chaotic Mapping” The combination of chaotic theory and cryptography forms an important field of information security. In this paper implement encryption and decryption using chaotic mapping applying plain-image. 2.3“Image Encryption Using Block-Based Transformation Algorithm” Encryption is used to securely transmit data in open networks. In this paper developed for the confidential image data from unauthorized access. The original images was divided into sub images and apply the transformation algorithms for better security. 3. Methodologies 3.1 Digital signature and Watermarking Digital signature is a sort of Cryptography. Cryptography means keeping communications private. It deals with encryption, decryption and authentication. 3.1.1. Secret key or Symmetric Cryptography In this processes sender and receiver massages have to know the similarly key for encryption and decryption of a message.
  • 3. Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011 172 3.1.2 Public key or Asymmetric Cryptography Asymmetric Cryptography involves two related keys, one of which only the the private key and the other 'public key. 3.1.3 Creation of Digital Signature The creation of digital signature is done by getting the details from administrator, and the created signature is posted to the signature table and this is used by the certification authority. This is done by the certification authority and creates a personal identification to the person. This is carried out by using the Digital Signature Algorithm and the Secure Hashing algorithm. This digital signature provides a personalization. Fig 3.1.1: Using the SHA with the DSA 3.1.4 Digital Signature Algorithm (i) GLOBAL PUBLIC-KEY COMPONENTS 1. p = a prime number, where 2L-1 < p < 2L for 512 = < L = <1024 and L a multiple of 64 2. q = a prime divisor of p - 1, where 2159 < q < 2160 3. g = h(p-1)/q mod p, where h is any integer with 1 < h < p - 1 such that h(p-1)/q mod P>1 (g has order q mod p). (ii) THE USER’S PRIVATE KEY: x = a randomly or pseudo randomly generated integer with 0 < x < q (iii) USER’S PUBLIC KEY: y = gx mod p (iv) USER’S PER-MESSAGE SECRET NUMBER: k = a randomly or pseudo randomly generated integer with 0 < k < q
  • 4. Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011 173 3.2. Watermarking Digital Signature Digital image watermarking schemes mainly fall into two broad categories: 3.2.1 Spatial-domain techniques The spatial –domain techniques consist of two categories, these are a) Least-Significant Bit (LSB): The given image contains pixels these pixels are indicated by the 8-bit sequence, the watermarks are linked two the last, bit of selected pixels of the original image. its used to hide the information and attackers could not destroy the information. b) SSM-Modulation-Based Technique: These technique are applied in the water marking algorithms with an linked information and attached to the original image with pseudo noise signal ,its modulated by the watermark. 3.2.2 Frequency-domain techniques The frequency-domain techniques mainly used for watermarking of the human visual system are better captured by the spectral coefficients. The transforms are broadly categorized in two ways (a) Discrete Cosine Transformation (DCT) (b) Discrete Wavelet Transformation (DWT) The following figures are explained about Discrete Cosine Transformation and Discrete Wavelet Transformation. Original Image Water Marked Image Fig: 3.2.2.1 One Level DWT
  • 5. Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011 174 Original Image Water Marked Imag Fig: 3.2.2 .2 Two Level DWT Original Image Water Marked Image Fig: 3.2.2.4 Three Levels DWT The above process of 2-D discrete wavelet transforms are divided into three sub images for providing the watermarking for host image. 3.2.3 Authentication using image verification This is done by authentication verifier, initially he logins with person date of birth and passport/driving license information and extracts the signature, and these details are submitted for the verification process. By this image verification is done and can know the details. 4. Cryptography An encryption system is also called a cipher, or a cryptosystem. The message consists of plaintext, and cipher text. Denote the plaintext and the cipher text by P and C, respectively. The encryption procedure of a cipher can be described as C = EKe (P), where Ke is the encryption key and E is the encryption function. Similarly, the decryption procedure is P = DKd (C), where Kd is the decryption key and D is the decryption function. For public-key ciphers, the encryption key Ke is published, and the decryption key Kd is kept private, for which no additional secret channel is needed for key transfer.
  • 6. Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011 175 Fig: 4.1 Encryption and Decryption 5. Experimental Results 5.1 Water Marking The given picture shows the watermarking in the bottom at left corner Figure 5.1.1 watermarking
  • 7. Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011 176 5.2 Watermarking as digital signature The given picture shows the watermarking with digital signature in the bottom at left corner Fig 5.2.1 watermarking as digital signature 5.3 Encryption for image The given picture shows the encryption for image Fig: 5.3.1 Encryption
  • 8. Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011 177 5.4 Decryption for image The given picture shows the decryption for image Fig: 5.4.1 Decryption 6. Conclusion Digital signature and watermark are two techniques used for copyright protection and authentication, respectively. In this paper a digital signature and watermark methods are used cryptography analysis proposed for image security. Experiments show our scheme is robust to reasonable compression rate while preserving good image quality, and capable to authentication. 7. Future Work Future work will be focused on more robust signature extraction method and possible ways to recover the illegally modified image without the original image. References [1] G.L. Friedman, “The Trustworthy Digital Camera: Restoring Credibility to the Photographic image”, IEEE Transaction on Consumer Electronics, Vol. 39, No.4, 1993, pp. 905-910. [2] J. Cox, J. Killian, F.T. Leighton, and T. Shamoon, “Secure Spread Spectrum Watermarking for Multimedia”, IEEE Transactions on Image Processing, Vol.6, No. 12, 1997, pp.1673-1678. [3] C.-Y. Lin and S.-F. Chang, “A Robust Image Authentication Method Distinguishing JPEG Compression from Malicious Manipulation”, IEEE Transaction on Circuits and Systems of Video Technology, Vol. 11, No. 2, 2001, pp.153-168. [4] J. Fridrich, “Robust Bit Extraction from Images”, in Proceedings of IEEE International Conference on Multimedia Computing and Systems (ICMCS’99), Vol. 2, 1999, pp. 536-540. [5] S.S.Maniccam, N.G. Bourbakis, “Lossless image compression and encryption using SCAN”, Pattern Recognition 34 (2001), 1229-1245
  • 9. Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011 178 [6] Chin-Chen Chang, Min-Shian Hwang, Tung-Shou Chen, “A new encription algorithm for image cryptosystems”, The Journal of Systems and Software 58 (2001), 83-91 [7] Jiun-In Guo, Jui-Cheng Yen, “A new mirror-like image encryption algorithm and its VLSI architecture”, Department of Electronics Engineering National Lien-Ho College of Technology and Commerce, Miaoli, Taiwan, Republic of China [8] Jui-Cheng Yen, Jiun-In Guo, “A new chaotic image encryption algorithm“,Department of Electronics Engineering National Lien-HoCollege of Technology and Commerce, Miaoli, Taiwan, Republic of China, E-mail: jcyen@mail.lctc.edu.tw [9] Shuqun Zhang and Mohammed A. Karim, “Color image encryption using double random phase encoding”, MICROWAVE AND OPTICALTECHNOLOGY LETTERS Vol. 21, No. 5, June 5 1999, 318-322 [10] Young-Chang Hou, “Visual cryptography for color images”, PatternRecognition 36 (2003), www.elsevier.com/locate/patcog, 1619-1629 [11] C. Yen and J. I. Guo, “A new image encryption algorithm and its VLSI architecture.” in Proceedings of IEEE workshop on signal processing systems, pp. 430–437, 1999. [12] M. V. Droogenbroech, R. Benedett, "Techniques for a selective encryption of uncompressed and compressed images," In ACIVS’02, Ghent, Belgium. Proceedings of Advanced Concepts for Intelligent Vision Systems,2002. [13] S. Changgui, B. Bharat, "An efficient MPEG videoencryption algorithm, " Proc e edings of the symposium on reliable distributed systems, 2002, page(s):708,711. [14] A. Mitra, , Y V. Subba Rao, and S. R. M. Prasnna, "A new image encryption approach using combinational permutation techniques," Journal of computer Science, vol. 1, no. 1, p.127, 2006, Available:http://www.enformatika.org [15] A. Sinha, K. Singh, "Image enc rypt ion by us ing f r a c t iona l Fo ur i e r t r ans fo rm and J igs aw t ransform in image bi t planes,"Source: optical engineering, spie-int society optical engineering, vol. 44, no. 5 , 2005, pp.15-18. [16] M. Sonka, V. Hlavac. and R. Boyle, "Digital image processing," in: image Processing, Analysis, and Machine Vision, 1998, 2nd ed. http://www.pws.com [17 ] D. Feldman, "A brief introduction to: information theory, excess entropy and computational mechanics," college of the atlantic 105 eden street, bar harbor, me 04609, 2002, http://hornacek.coa.edu/ computer society Press, 1998, pp. 381-386. Acknowledgements The Grateful thanks to authors for their helping and valuable comments that have developing of this paper.
  • 10. Signal & Image Processing : An International Journal (SIPIJ) Vol.2, No.2, June 2011 179 Authors M.Sreerama Murthy Recived M.Tech in Computer Science and Engineering from University College of Engineering, JNTU, Kakinada.B.Tech in Information Technology from Sai Spurthi Institute of Technology (JNTU,Hyderabad). And now presently working as Assistant Professor Sai Spurthi Institute of Technology,Khammam.His research interests includes Mobile Computing,Image Processing,DataMining ,Computer Networks and Embedded Systems. D. Veeraiah Recived M.Tech in Computer Scince and Engineering from Anurag Engineering Coolge (JNTUH),B.Tech in Information Technology from Mother Teresa Institute of Science and Technology( JNTU,Hyderabad). And now presently working as Assoc. Professor Sai Spurthi Institute of Technology,Khammam.His research interests includes Image Processing,Computer Networks,Mobile Computing,Compiler Design. A.Srinivas Rao Recived M.Tech in Computer Scince and Engineering from Anurag Engineering College (JNTUH),B.Tech in Information Technology from Mother Teresa Institute of Science and Technology( JNTU,Hyderabad). And now presently working as Assoc. Professor Sai Spurthi Institute of Technology,Khammam.His research interests includes Mobile Computing,Image Processing,Computer Networks,Compiler Design