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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...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier
2018
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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. |
format | Online Article Text |
id | pubmed-6052686 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Elsevier |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT ismailsamarm generalizeddoublehumpedlogisticmapbasedmedicalimageencryption AT saidlobnaa generalizeddoublehumpedlogisticmapbasedmedicalimageencryption AT radwanahmedg generalizeddoublehumpedlogisticmapbasedmedicalimageencryption AT madianahmedh generalizeddoublehumpedlogisticmapbasedmedicalimageencryption AT abuelyazeedmohamedf generalizeddoublehumpedlogisticmapbasedmedicalimageencryption |