A plain-image correlative semi-selective medical image encryption algorithm using enhanced 2D-logistic map

Bahbibi Rahmatullah

Abstract

Modern medical examinations have produced a large number of medical images. It is a great challenge to transmit and store them quickly and securely. Existing solutions mainly use medical image encryption algorithms, but these encryption algorithms, which were developed for ordinary images, are time-consuming and must cope with insufficient security considerations when encrypting medical images. Compared with ordinary images, medical images can be divided into the region of interest and the region of background. In this paper, based on this characteristic, a plain-image correlative semi-selective medical image encryption algorithm using the enhanced two dimensional Logistic map was proposed. First, the region of interest of a plain medical image is permuted at the pixel level, then for the whole medical image, substitution is performed pixel by pixel. An ideal compromise between encryption speed and security can be achieved by full-encrypting the region of interest and semi-encrypting the region of background. Several main types of medical images and some normal images were selected as the samples for simulation, and main image cryptanalysis methods were used to analyze the results. The results showed that the cipher-images have a good visual quality, high information entropy, low correlation between adjacent pixels, as well as uniformly distribute histogram. The algorithm is sensitive to the initial key and plain-image, and has a large keyspace and low time complexity. The time complexity is lower when compared with the current medical image full encryption algorithm, and the security performance is better when compared with the current medical image selective encryption algorithm. 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

References

Aashiq Banu S, Amirtharajan R (2020) A robust medical image encryption in dual domain : chaos-DNAIWT combined approach. Med Biol Eng Comput 58(7):1445–1458

Abd El-Latif AA, Abd-El-Atty B, Talha M (2017) Robust encryption of quantum medical images. IEEE Access 6:1073–1081. https://doi.org/10.1109/ACCESS.2017.2777869

Abdmouleh, M. K., Khalfallah, A., & Bouhlel, M. S. (2017). A novel selective encryption DWT-based algorithm for medical images. 2017 14th international conference on computer graphics, imaging and visualization, 79–84. https://doi.org/10.1109/CGiV.2017.10

Akkasaligar PT, Biradar S (2020) Selective medical image encryption using DNA cryptography. Inf Sec J: A Global Persp 29(2):91–101. https://doi.org/10.1080/19393555.2020.1718248

Al-haj A, Abandah G, Hussein N (2015) Crypto-based algorithms for secured medical image transmission. IET Inf Secur 9(6):365–373. https://doi.org/10.1049/iet-ifs.2014.0245

Alvarez G, Li S (2006) Some basic cryptographic requirements for chaos-based cryptosystems. Int J Bifurcation Chaos 16(08):2129–2151

Arumugham S, Rajagopalan S, Bosco J, Rayappan B, Amirtharajan R (2018) Networked medical data sharing on secure medium–A web publishing mode for DICOM viewer with three layer authentication. J Biomed Inform 86:90–105. https://doi.org/10.1016/j.jbi.2018.08.010

Arunkumar S, Subramaniyaswamy V, Vijayakumar V, Chilamkurti N, Logesh R (2019) SVD-based robust image steganographic scheme using RIWT and DCT for secure transmission of medical images. Measurement 139:426–437. https://doi.org/10.1016/j.measurement.2019.02.069

Bakshi A, Patel AK (2019) Secure telemedicine using RONI halftoned visual cryptography without pixel expansion. J Inf Sec Appl 46:281–295. https://doi.org/10.1016/j.jisa.2019.03.004

Balasamy K, Suganyadevi S (2021) A fuzzy based ROI selection for encryption and watermarking in medical image using DWT and SVD. Multimed Tools Appl 80:7167–7186

Banik A, Shamsi Z, Laiphrakpam DS (2019) An encryption scheme for securing multiple medical images. J Inf Sec Appl 49:102398. https://doi.org/10.1016/j.jisa.2019.102398

Barik RC, Changder S (2021) A novel and efficient amino acid codon based medical image encryption scheme colligating multiple chaotic maps. Multimed Tools Appl 80:10723–10760

Belazi A, Talha M, Kharbech S, Xiang W (2019) Novel medical image encryption scheme based on chaos and DNA encoding. IEEE Access 7:36667–36681. https://doi.org/10.1109/ACCESS.2019.2906292

Chandrasekaran J, Thiruvengadam SJ (2017) A hybrid chaotic and number theoretic approach for securing DICOM images. Sec Comm Networks 2017:1–12

Chen M, Ma G, Tang C, Lei Z (2020) Generalized optical encryption framework based on Shearlets for medical image. Opt Lasers Eng 128:106026. https://doi.org/10.1016/j.optlaseng.2020.106026

Chen X, Hu C (2017) Adaptive medical image encryption algorithm based on multiple chaotic mapping. Saudi J Biol Sci 24(8):1821–1827. https://doi.org/10.1016/j.sjbs.2017.11.023

Chen X, Hu C-J (2017) Medical image encryption based on multiple chaotic mapping and wavelet transform. Biomed Res 28(20):8834–8837

Chirakkarottu S, Mathew S (2020) A novel encryption method for medical images using 2D Zaslavski map and DNA cryptography. SN Appl Sci 2(1):1–10. https://doi.org/10.1007/s42452-019-1685-8

Cryptography Law, (2019).

Dagadu JC, Li J, Aboagye EO (2019) Medical image encryption based on hybrid chaotic DNA diffusion. Wirel Pers Commun 108(1):591–612. https://doi.org/10.1007/s11277-019-06420-z

Dai Y, Wang H, Wang Y (2016) Chaotic medical image encryption algorithm based on bit-plane decomposition. Int J Pattern Recognit Artif Intell 30(4):1657001. https://doi.org/10.1142/S0218001416570019

Dai Y, Wang H, Zhou Z, Jin Z (2016) Research on medical image encryption in telemedicine systems. Technol Health Care 24(s2):S435–S442. https://doi.org/10.3233/THC-161166

Devi RS, Thenmozhi K, Rayappan JBB, Amirtharajan R, Praveenkumar P (2019) Entropy influenced RNA diffused quantum chaos to conserve medical data privacy. Int J Theor Phys 56(6):1937–1956

Dridi M, Hajjaji MA, Bouallegue B, Mtibaa A (2016) Cryptography of medical images based on a combination between chaotic and neural network. IET Image Process 10(11):830–839. https://doi.org/10.1049/iet-ipr.2015.0868

Fridrich J (1998) Symmetric ciphers based on two-dimensional chaotic maps. Int J Bifurcation Chaos 8(06):1259–1284

Gafsi M, Abbassi N, Hajjaji MA, Malek J, Mtibaa A (2020) Improved chaos-based cryptosystem for medical image encryption and decryption Sci Prog 2020

Ge J (2020) Alcencryption : A secure and efficient algorithm for medical. IEEE Signal Process Lett 125(3):1083–1100. https://doi.org/10.32604/cmes.2020.013039

Gupta R, Pachauri R, Singh AK (2018) An effective approach of secured medical image transmission using encryption method. Mole Cell Biomech 15(2):63. https://doi.org/10.3970/mcb.2018.00114

Hua Z, Yi S, Zhou Y (2018) Medical image encryption using high-speed scrambling and pixel adaptive diffusion. Signal Process 144:134–144. https://doi.org/10.1016/j.sigpro.2017.10.004

Ismail SM, Said LA, Radwan AG, Madian AH, Abu-elyazeed MF (2018) Generalized double-humped logistic map-based medical image encryption. J Advan Res 10:85–98. https://doi.org/10.1016/j.jare.2018.01.009

Jain M, Choudhary RC, Kumar A (2016) Secure medical image steganography with RSA cryptography using decision tree. In: 2016 2nd international conference on contemporary computing and informatics (IC3I), pp 291–295. https://doi.org/10.1109/IC3I.2016.7917977

Jiao G, Peng X, Duan K (2019) Image encryption with the cross diffusion of two chaotic maps. KSII Trans Int Inform Syst (TIIS) 13(2):1064–1079

Jiao G, Zhou S, Li L, Zou Y (2019) Hybrid chaotic encryption algorithm for securing dicom systems. Int J Perform Eng 15(5):1436–1444. https://doi.org/10.23940/ijpe.19.05.p20.14361444

Kanso A, Ghebleh M (2015) An efficient and robust image encryption scheme for medical applications. Commun Nonlinear Sci Numer Simul 24(1–3):98–116. https://doi.org/10.1016/j.cnsns.2014.12.005

Kanso A, GheblehM(2018) An efficient lossless secret sharing scheme for medical images. J Vis Commun Image Represent 56:245–255. https://doi.org/10.1016/j.jvcir.2018.09.018

Khashan OA, Alshaikh M (2020) Edge-based lightweight selective encryption scheme for digital medical images. Multimed Tools Appl 79(35):26369–26388

Khond S, Vijayakumar B (2019) Secure medical image processing using chaos and DNA encryption enhanced using reversible data hiding. Int J Eng Adv Technol (IJEAT) 8(6S):1062–1067. https://doi.org/10.35940/ijeat.F1202.0886S19