Abstract
The Secret Sharing Scheme plays a vital role in cryptography which allows to transmit the secret digital information (image, video, audio, handwriting, etc.,) over a communication channel. This cryptographic technique involves encrypting the secret images into noisy shares and transmitted. The transmitted image shares are reconstructed using simple logical computation. In this paper, we propose a secure (n, n)- Multi-Secret-Sharing (MSS) scheme using image scrambling algorithm which is based on the logistic chaotic sequence generated using the secret key which is retrieved from the geometric pattern named as spirograph which drawn by the users with their private values. Also, decomposition and recombination of image pixels which points to change the position and values of the pixels. The experimental results estimate that the standard metrics NPCR, UACI, Entropy, Coefficient Correlation values proves the rigidness of the implemented algorithm.
Similar content being viewed by others
References
Ahmad M, Shamsher Alam M (2009) A new algorithm of encryption and decryption of images using chaotic mapping. International Journal on computer science and engineering 2(1):46–50
Amin M, Faragallah OS, Abd El-Latif AA (2010) A chaotic block cipher algorithm for image cryptosystems. Commun Nonlinear Sci Numer Simul 15(11):3484–3497
Borujeni E, Shahram, Eshghi M (2009) Chaotic image encryption design using Tompkins-Paige algorithm. Math Probl Eng (2009)
El-Latif, Abd AA et al (2011) Image encryption scheme of pixel bit based on combination of chaotic systems. 2011 Seventh International Conference on Intelligent Information Hiding and Multimedia Signal Processing. IEEE
Han F, Hu J, Xinghuo Y (2006) A biometric encryption approach incorporating fingerprint indexing in key generation. International conference on intelligent computing. Springer, Berlin, Heidelberg, A Biometric Encryption Approach Incorporating Fingerprint Indexing in Key Generation.
Huang X, Ye G, Wong KW (2013) Chaotic image encryption algorithm based on circulant operation. Abstr Appl Anal. Hindawi, 2013
Ismail IA, Amin M, Diab H (2010) A digital image encryption algorithm based a composition of two chaotic logistic maps. IJ Network Security 11.1:1–10
Li B, Jia-wei X (2005) Period of Arnold transformation and its application in image scrambling. J Cent S Univ Technol 12(1):278–282
Lin X-H, Cai L-D (2004) Scrambling research of digital image based on Hilbert curve. Chinese journal of stereology and image analysis 9(4):224–227
Logeshwari R, Rama Parvathi L (2019) A Quantitative and Qualitative Reasoning of Various Visual Cryptographic Schemes to Uphold Secrecy. International Journal of Innovative Technology and Exploring Engineering 8(11):1148–1151
Loukhaoukha K, Chouinard J-Y, Berdai A (2012) A secure image encryption algorithm based on Rubik's cube principle. Journal of Electrical and Computer Engineering 2012:1–13
Prasad M, Sudha KL (2011) Chaos image encryption using pixel shuffling. CCSEA 169–179
Praveenkumar P, Amirtharajan R, Thenmozhi K, Balaguru Rayappan JB (2015) Medical data sheet in safe havens–a tri-layer cryptic solution. Comput Biol Med 62:264–276
Praveenkumar P, Amirtharajan R, Thenmozhi K, Rayappan JBB (2015) Pixel scattering matrix formalism for image encryption—a key scheduled substitution and diffusion approach. AEU-International Journal of Electronics and Communications 69(2):562–572
Praveenkumar P, Amirtharajan R, Thenmozhi K, Rayappan JBB (2015) Triple chaotic image scrambling on RGB–a random image encryption approach. Security and Communication Networks 8(18):3335–3345
Praveenkumar P, Amirtharajan R, Thenmozhi K, Rayappan JBB (2017) Fusion of confusion and diffusion: a novel image encryption approach. Telecommun Syst 65(1):65–78
Rama Parvathi L, Logeshwari R (2019) A Design and Analysis of Geo-Crypto Key Exchange Algorithm for Secure Transmission. International Journal of Recent Technology and Engineering 8:223–226
Ravichandran D, Praveenkumar P, Balaguru Rayappan JB, Amirtharajan R (2016) Chaos based crossover and mutation for securing DICOM image. Comput Biol Med 72:170–184
Shatheesh SI, Devaraj P, Bhuvaneswaran RS (2011) Chaos based image encryption scheme based on enhanced logistic map. International Conference on Distributed Computing and Internet Technology. Springer, Berlin, Heidelberg
Shen J, Jin X, Zhou C (2005) A color image encryption algorithm based on magic cube transformation and modular arithmetic operation. Pacific-Rim conference on multimedia. Springer, Berlin, Heidelberg, A Color Image Encryption Algorithm Based on Magic Cube Transformation and Modular Arithmetic Operation.
Sridevi R et al (2016) Logistic and standard coupled mapping on pre and post shuffled images: a method of image encryption. Asian J Sci Res 10(1):10–23
Steffi AA, Sharma D (2013) Modified algorithm of encryption and decryption of images using chaotic mapping. International Journal of Science and Research (IJSR) 2(2):77–80
Tang Z, Zhang X (2011) Secure image encryption without size limitation using Arnold transform and random strategies. J Multimed 6(2):202
Wang D, Jin Y (2005) Semi-period of doubly even order magic square transformed digital image. Journal-Zhejiang University-Sciences Edition 32(3):273
Ye G (2010) Image scrambling encryption algorithm of pixel bit based on chaos map. Pattern Recogn Lett 31(5):347–354
Ye R, Zhao H (2012) An efficient chaos-based image encryption scheme using affine modular maps. International Journal of Computer Network and Information Security 4(7):41–50
Yin-nu SI, Bao-sheng KANG (2008) Digital image scrambling based on improved Arnold transformation. Computer Technology and Development 18(2):74–76
Zhang L, Liao X, Wang X (2005) An image encryption approach based on chaotic maps. Chaos, Solitons Fractals 24(3):759–765
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Logeshwari, R., Rama Parvathy, L. Generating logistic chaotic sequence using geometric pattern to decompose and recombine the pixel values. Multimed Tools Appl 79, 22375–22388 (2020). https://doi.org/10.1007/s11042-020-08957-9
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11042-020-08957-9