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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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Autores principales: Ismail, Samar M., Said, Lobna A., Radwan, Ahmed G., Madian, Ahmed H., Abu-Elyazeed, Mohamed F.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6052686/
https://www.ncbi.nlm.nih.gov/pubmed/30034869
http://dx.doi.org/10.1016/j.jare.2018.01.009
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author Ismail, Samar M.
Said, Lobna A.
Radwan, Ahmed G.
Madian, Ahmed H.
Abu-Elyazeed, Mohamed F.
author_facet Ismail, Samar M.
Said, Lobna A.
Radwan, Ahmed G.
Madian, Ahmed H.
Abu-Elyazeed, Mohamed F.
author_sort Ismail, Samar M.
collection PubMed
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.
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spelling pubmed-60526862018-07-20 Generalized double-humped logistic map-based medical image encryption Ismail, Samar M. Said, Lobna A. Radwan, Ahmed G. Madian, Ahmed H. Abu-Elyazeed, Mohamed F. J Adv Res Original Article 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. Elsevier 2018-02-03 /pmc/articles/PMC6052686/ /pubmed/30034869 http://dx.doi.org/10.1016/j.jare.2018.01.009 Text en © 2018 Production and hosting by Elsevier B.V. on behalf of Cairo University. http://creativecommons.org/licenses/by-nc-nd/4.0/ This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Original Article
Ismail, Samar M.
Said, Lobna A.
Radwan, Ahmed G.
Madian, Ahmed H.
Abu-Elyazeed, Mohamed F.
Generalized double-humped logistic map-based medical image encryption
title 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_short Generalized double-humped logistic map-based medical image encryption
title_sort generalized double-humped logistic map-based medical image encryption
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6052686/
https://www.ncbi.nlm.nih.gov/pubmed/30034869
http://dx.doi.org/10.1016/j.jare.2018.01.009
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