Use of firefly optimization algorithm for fractional fourier transform based reversible data hiding

Abstract

This paper presents a Fractional Fourier transform based reversible data hiding technique to secure the data transmitted over communication network. The proposed algorithm modifies the cover image to improve the robustness of data hiding technique. The cover image is transformed using Fractional Fourier Transform (FrFT) into a time-frequency domain and the optimal pixel locations for hiding the secret data are found using firefly algorithm. Firefly algorithm uses multi-objective function, which is a combination of Structural Similarity Index Measure (SSIM) and Bit Error rate (BER). The histogram shifting technique embeds secret data in the optimal pixel locations. The quality of test images is analyzed under varying payload as well as under varying fractional order. Experimental results conclude that this scheme produces good quality stego image. It has also been found from the simulation results that the proposed algorithm is more robust and reversible against various attacks as it provides lower bit error rate and higher normalization coefficient.

Keywords

Reversible data hiding histogram shifting fractional fourier transform firefly algorithm imperceptibility robustness reversibility

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References

Amsaveni

and Vanathi

P.T.

, A comprehensive study on image steganography and steganalysis techniques, Int J Information and Communication Technology 7(4/5) (2015), 406–424.

Amsaveni

and Vanathi

P.T.

, An efficient reversible data hiding approach for colour images based on Gaussian weighted prediction error expansion and genetic algorithm, Int J Advanced Intelligence Paradigms 7(2) (2015), 156–171.

Yang

, Schmucker

, Funk

, Busch

and Sun

, Integer DCT-based reversible watermarking for images using companding technique, Proceedings of Electronic Imaging, Science and Technology 5306 (2014), 405–415.

Xuan

, Zhu

, Chen

, Shi

Y.Q.

, Ni

and Su

, Distortionless data hiding based on integer Wavelet Transform, IEEE Electronics Letters 38(25) (2003), 1646–1648.

Lin

S.D.

, Shie

S.C.

and Guo

J.Y.

, Improving the robustness of DCT based image watermarking against JPEG compression, Int J Computer Standards and Interfaces 32(1) (2010), 54–60.

Xiang

, Kim

H.J.

and Huang

, Invariant Image watermarking based on statistical features in the low frequency domain, IEEE Transactions on Image Processing 14(12) (2008), 2140–2150.

Amsaveni

and Vanathi

P.T.

, Reversible Data Hiding Based on Radon and Integer Lifting Wavelet Transform, Journal of Microelectronics Electronic Components and Materials 47(2) (2017), 90–98.

Shieh

C.S.

, Huang

H.C.

, Wang

F.H.

and Pan

J.S.

, Genetic watermarking based on transform-Domain techniques, Pattern Recognition 37(3) (2003), 555–565.

and Wang

, A Steganographic method based upon JPEG and particle swarm optimization algorithm, Information Sciences 177 (2007), 3099–3109.

10.

Huang

H.C.

, Yueh

H.C.

and Ajith

, Optimized Watermarking Using Swarm-Based Bacterial Foraging, Journal of Information Hiding and Multimedia Signal Processing 1(1) (2010), 51–58.

11.

Bedi

, Bansal

and Sehgal

, Using PSO in a spatial domain based image hiding scheme with disortion tolerance, Int J Computers and Electrical Engineering 39(2) (2013), 640–654.

12.

Amsaveni

and Arunkumar

, An Efficient Data Hiding Scheme Using Firefly Algorithm In Spatial Domain, IEEE Sponsored Second International Conference on Electronics and Communication System ICECS (2015), 650–655.

13.

Yang

X.S.

, Nature-Inspired Metaheuristic Algorithms, Luniver Press (2008).

14.

, Xiong

, Zhou

and Cai

, Reversible data hiding based on multilevel histogram modification and pixel value grouping, Journal of Visual Communication and Image Representation 40 (2016), 459–469.

15.

Cariolaro

, Erseghe

, Kraniauskas

and Laurenti

, Multiplicity of fractional Fourier transforms and their relationships, IEEE Transactions on Signal Processing 48(1) (2000), 227–241.

16.

Cohen

, Daubechies

and Feauveau

, Bi-orthogonal bases of compactly supported wavelets, Journal of Communications on Pure and Applied Mathematics 45(5) (1992), 485–560.

17.

Bultheel

and Martinez

, Ashattered survey of the Fractional Fourier Transform Report TW 337 Department of Computer Science, K. U. Leuven, (2002).

18.

Candan

, Kutay

M.A.

and Ozaktas

H.M.

, Discrete fractional Fourier transform, IEEE Transactions on Signal Processing 48(5) (2000), 1329–1337.

19.

Yetik

I.S.

, Kutay

M.A.

and Ozaktas

H.M.

, Image representation and compression with the fractional Fourier transform, Journal of Optics Communications 197 (2001), 275–278.

20.

Yang

X.S.

, Firefly Algorithms for multimodal optimization, Lecture Notes in Computer Science 5792 (2009), 169–178.

21.

http://sipi.usc.edu/database/

22.

Khodaei

and Faez

, Image Hiding by using genetic algorithm and LSB substitution, Proceedings of International Conference on Signal and Image Processing (ICSIP 2010). LNCS 6134. (2010), 404–411.

23.

Abbasi

, Xu

, Amin

and Luo

, Efficient Lossless Compression Based Reversible Data Hiding Using Multilayered n-Bit Localization, Security and Communication Networks (2019), 1-13.

24.

Nemani

, Talari

and Vangala

, Estimation of performance metrics for Reversible Data Hiding before encryption, 2017 International Conference on Intelligent Computing and Control Systems (ICICCS), Madurai, (2017), 1176–1181.