Generalized double-humped logistic map-based medical image encryption
This paper presents the design of the generalized Double Humped (DH) logistic map, used for pseudo-random number key generation (PRNG). The generalized parameter added to the map provides more control on the map chaotic range. A new special map with a zooming effect of the bifurcation diagram is obt...
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doaj-539fbed64a1a46879b36f6947395f6112020-11-24T20:40:28ZengElsevierJournal of Advanced Research2090-12322090-12242018-03-0110C859810.1016/j.jare.2018.01.009Generalized double-humped logistic map-based medical image encryptionSamar M. Ismail0Lobna A. Said1Ahmed G. Radwan2Ahmed H. Madian3Mohamed F. Abu-Elyazeed4Faculty of IET, German University in Cairo (GUC), Cairo 11865, EgyptNISC Research Center, Nile University, Cairo 12588, EgyptDepartment of Engineering Mathematics and Physics, Cairo University, Cairo 12613, EgyptNISC Research Center, Nile University, Cairo 12588, EgyptElectronics and Communication Engineering Department, Cairo University, Cairo 12613, EgyptThis paper presents the design of the generalized Double Humped (DH) logistic map, used for pseudo-random number key generation (PRNG). The generalized parameter added to the map provides more control on the map chaotic range. A new special map with a zooming effect of the bifurcation diagram is obtained by manipulating the generalization parameter value. The dynamic behavior of the generalized map is analyzed, including the study of the fixed points and stability ranges, Lyapunov exponent, and the complete bifurcation diagram. The option of designing any specific map is made possible through changing the general parameter increasing the randomness and controllability of the map. An image encryption algorithm is introduced based on pseudo-random sequence generation using the proposed generalized DH map offering secure communication transfer of medical MRI and X-ray images. Security analyses are carried out to consolidate system efficiency including: key sensitivity and key-space analyses, histogram analysis, correlation coefficients, MAE, NPCR and UACI calculations. System robustness against noise attacks has been proved along with the NIST test ensuring the system efficiency. A comparison between the proposed system with respect to previous works is presented.http://www.sciencedirect.com/science/article/pii/S2090123218300195Double-humpedNegative bifurcationMLEImage encryptionUACINPCR |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Samar M. Ismail Lobna A. Said Ahmed G. Radwan Ahmed H. Madian Mohamed F. Abu-Elyazeed |
spellingShingle |
Samar M. Ismail Lobna A. Said Ahmed G. Radwan Ahmed H. Madian Mohamed F. Abu-Elyazeed Generalized double-humped logistic map-based medical image encryption Journal of Advanced Research Double-humped Negative bifurcation MLE Image encryption UACI NPCR |
author_facet |
Samar M. Ismail Lobna A. Said Ahmed G. Radwan Ahmed H. Madian Mohamed F. Abu-Elyazeed |
author_sort |
Samar M. Ismail |
title |
Generalized double-humped logistic map-based medical image encryption |
title_short |
Generalized double-humped logistic map-based medical image encryption |
title_full |
Generalized double-humped logistic map-based medical image encryption |
title_fullStr |
Generalized double-humped logistic map-based medical image encryption |
title_full_unstemmed |
Generalized double-humped logistic map-based medical image encryption |
title_sort |
generalized double-humped logistic map-based medical image encryption |
publisher |
Elsevier |
series |
Journal of Advanced Research |
issn |
2090-1232 2090-1224 |
publishDate |
2018-03-01 |
description |
This paper presents the design of the generalized Double Humped (DH) logistic map, used for pseudo-random number key generation (PRNG). The generalized parameter added to the map provides more control on the map chaotic range. A new special map with a zooming effect of the bifurcation diagram is obtained by manipulating the generalization parameter value. The dynamic behavior of the generalized map is analyzed, including the study of the fixed points and stability ranges, Lyapunov exponent, and the complete bifurcation diagram. The option of designing any specific map is made possible through changing the general parameter increasing the randomness and controllability of the map. An image encryption algorithm is introduced based on pseudo-random sequence generation using the proposed generalized DH map offering secure communication transfer of medical MRI and X-ray images. Security analyses are carried out to consolidate system efficiency including: key sensitivity and key-space analyses, histogram analysis, correlation coefficients, MAE, NPCR and UACI calculations. System robustness against noise attacks has been proved along with the NIST test ensuring the system efficiency. A comparison between the proposed system with respect to previous works is presented. |
topic |
Double-humped Negative bifurcation MLE Image encryption UACI NPCR |
url |
http://www.sciencedirect.com/science/article/pii/S2090123218300195 |
work_keys_str_mv |
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