Secure Transmission of Images using SVD & Gödelization1

8/4/2019 Secure Transmission of Images using SVD & Gdelization1

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Secure Transmission ofImages using SVD &

Gdelization Approach

Under the esteemed guidance ofDr. D. Lalitha Bhaskari

By

Sushat K.309206415049


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Abstract

With the increasing use of multimedia data, parallelly there

are many concerns regarding the transmission of this dataover a network. The main concerns are security and datasize.

In this project work, apart from security, we also deal with

the issues of authenticity & confidentiality using PGPmodel.

The multimedia data (image) is first compressed and thenit is transmitted using PGP model for security by using both

SVD & Gdelization approach.


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Introduction

Due to high exploration in the field of technology, thetransmission of digital data over a network has becomeless secure.

There are many algorithms which ensures the security ofdata but there also exists many attack methods thatexploits the weakness of the algorithm, making it insecure.

Hence there is a need to find a better algorithm whichensures security, confidentiality and authentication.


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Existing System

There are many systems which implement encryptionalgorithms to provide security to data. Some of themare:

Data Encryption Standard(DES)

3DES

Advanced Encryption Standard(AES)

Watermarking Techniques


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Proposed System

MultimediaData (M)

Message(M1)

Gdelization

PGPEncryption

EncryptedData

Gdelization: Sender Side


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MultimediaData(M)

Message(M1)

PGPDecryption

EncryptedData

Gdelization : Receiver Side

ReverseGdelization


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MultimediaData (M)

Message(M1)

SVD

PGPEncryption

EncryptedData

SVD: Sender Side


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MultimediaData(M)

Message(M1)

PGPDecryption

EncryptedData

SVD : Receiver Side

SVD


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PGP Encryption


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PGP Decryption


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Gdelization : Proposed by Dr. D. Lalitha Bhaskari & Dr. P. S. Avadhani

Gdelization is a process of converting anypositive integer which is greater than 1 into asequence called Gdel Number Sequence (GNS).

For any positive integer n>1, define

GNS(n) = (x0,x1,xk) where

n= 2x0 * 3x1 * 5x2 Pxk is the prime factorization

of n.


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Read Image pixel values

Generate GNS

Apply Compression UsingAlphabetic Coding

Encoded Compressed String

Gdelization


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Singular Value Decomposition

Singular Value decomposition factorizes asingle matrix into three different matrices.

SVD can be performed on any real (m,n)matrix.

A(m,n) = U(m,m) * S(m,n)*VT(n,n)

Where

A is the original matrix

U is mxm orthogonal matrix

V is nxn orthogonal matrix

S is mxn diagonal matrix with singular values


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Read Image pixel values

Generate their correspondingU,S & V values

Concatenate U,S & V values

Singular Value Decomposition


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Usecase Diagrams

PGP applied after Singular Value

Decomposition

Fig: Usecase for sender side of PGP applied after SVD


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Fig: Usecase for receiver side of PGP applied after SVD


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PGP applied after Gdelization

Fig: Usecase for sender side of PGP applied after Gdelization


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Fig: Usecase for receiver side of PGP applied after Gdelization


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Output Screens

PGP used after Singular Value Decomposition-

Sender Screens

Fig: Using Matlab to perform SVD

Fig: Input Image


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Fig: U,S,V values obtained from matlab.


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Output Screens

Fig:Merging the values in U,Sand V into a single file.

Fig:Giving Merged file toPGP model


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Fig: Cipertext output from PGP for the input file


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PGP used after Singular Value Decomposition-Receiver Screens

Fig: Values of U, S &

V matrix generatedin a single file

Fig: Ciphertext given as input toUser B


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Fig: The Values of U, S & V are split intoseparate files

Fig: Image Redrawnusing the U, S & V

Values.


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PGP used after Gdelization-Sender Screens

Fig: Image given as Input

Fig: Alphabetic

Coded String isstored in a file


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Fig: GeneratedCiphertext of theAlphabetic Coding

Fig: Alphabetic Codedfile given as input to

PGP


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PGP used after Gdelization-Receiver Screens

Fig: The Ciphertext is given as inputto PGP

Fig: The original

alphabetic codeis retrieved


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Fig: PerformingDe-Gdelization

Fig: Retrieving Pixelvalues


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Fig: Drawing image from Pixel values


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ConclusionIn comparison of SVD & Gdelization,

SVD is applied to gray scale images and Gdelizationcan be applied to both gray scale as well as colorimages.

Both SVD & Gdelization provides high level ofsecurity for transmission of images and both havetheir own merits and demerits.

It is up to the user to choose the appropriatemethodology based upon the application.


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Thank You

Documents

Secure Transmission of Images using SVD & Gödelization1