An <i>n</i>-Dimensional Chaotic Map with Application in Reversible Data Hiding for Medical Images

The drawbacks of a one-dimensional chaotic map are its straightforward structure, abrupt intervals, and ease of signal prediction. Richer performance and a more complicated structure are required for multidimensional chaotic mapping. To address the shortcomings of current chaotic systems, an <i&g...

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Main Authors: Yuli Yang, Ruiyun Chang, Xiufang Feng, Peizhen Li, Yongle Chen, Hao Zhang
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/26/3/254
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author Yuli Yang
Ruiyun Chang
Xiufang Feng
Peizhen Li
Yongle Chen
Hao Zhang
author_facet Yuli Yang
Ruiyun Chang
Xiufang Feng
Peizhen Li
Yongle Chen
Hao Zhang
author_sort Yuli Yang
collection DOAJ
description The drawbacks of a one-dimensional chaotic map are its straightforward structure, abrupt intervals, and ease of signal prediction. Richer performance and a more complicated structure are required for multidimensional chaotic mapping. To address the shortcomings of current chaotic systems, an <i>n</i>-dimensional cosine-transform-based chaotic system (<i>n</i>D-CTBCS) with a chaotic coupling model is suggested in this study. To create chaotic maps of any desired dimension, <i>n</i>D-CTBCS can take advantage of already-existing 1D chaotic maps as seed chaotic maps. Three two-dimensional chaotic maps are provided as examples to illustrate the impact. The findings of the evaluation and experiments demonstrate that the newly created chaotic maps function better, have broader chaotic intervals, and display hyperchaotic behavior. To further demonstrate the practicability of <i>n</i>D-CTBCS, a reversible data hiding scheme is proposed for the secure communication of medical images. The experimental results show that the proposed method has higher security than the existing methods.
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spelling doaj.art-3a196e31182e4362bd983df758b8f9422024-03-27T13:36:58ZengMDPI AGEntropy1099-43002024-03-0126325410.3390/e26030254An <i>n</i>-Dimensional Chaotic Map with Application in Reversible Data Hiding for Medical ImagesYuli Yang0Ruiyun Chang1Xiufang Feng2Peizhen Li3Yongle Chen4Hao Zhang5College of Computer Science and Technology, Taiyuan University of Technology, Jinzhong 030600, ChinaCollege of Software, Taiyuan University of Technology, Jinzhong 030600, ChinaCollege of Software, Taiyuan University of Technology, Jinzhong 030600, ChinaCollege of Software, Taiyuan University of Technology, Jinzhong 030600, ChinaCollege of Computer Science and Technology, Taiyuan University of Technology, Jinzhong 030600, ChinaCollege of Computer Science and Technology, Taiyuan University of Technology, Jinzhong 030600, ChinaThe drawbacks of a one-dimensional chaotic map are its straightforward structure, abrupt intervals, and ease of signal prediction. Richer performance and a more complicated structure are required for multidimensional chaotic mapping. To address the shortcomings of current chaotic systems, an <i>n</i>-dimensional cosine-transform-based chaotic system (<i>n</i>D-CTBCS) with a chaotic coupling model is suggested in this study. To create chaotic maps of any desired dimension, <i>n</i>D-CTBCS can take advantage of already-existing 1D chaotic maps as seed chaotic maps. Three two-dimensional chaotic maps are provided as examples to illustrate the impact. The findings of the evaluation and experiments demonstrate that the newly created chaotic maps function better, have broader chaotic intervals, and display hyperchaotic behavior. To further demonstrate the practicability of <i>n</i>D-CTBCS, a reversible data hiding scheme is proposed for the secure communication of medical images. The experimental results show that the proposed method has higher security than the existing methods.https://www.mdpi.com/1099-4300/26/3/254chaotic mapreversible data hidingprivacy protectionsecure communication
spellingShingle Yuli Yang
Ruiyun Chang
Xiufang Feng
Peizhen Li
Yongle Chen
Hao Zhang
An <i>n</i>-Dimensional Chaotic Map with Application in Reversible Data Hiding for Medical Images
Entropy
chaotic map
reversible data hiding
privacy protection
secure communication
title An <i>n</i>-Dimensional Chaotic Map with Application in Reversible Data Hiding for Medical Images
title_full An <i>n</i>-Dimensional Chaotic Map with Application in Reversible Data Hiding for Medical Images
title_fullStr An <i>n</i>-Dimensional Chaotic Map with Application in Reversible Data Hiding for Medical Images
title_full_unstemmed An <i>n</i>-Dimensional Chaotic Map with Application in Reversible Data Hiding for Medical Images
title_short An <i>n</i>-Dimensional Chaotic Map with Application in Reversible Data Hiding for Medical Images
title_sort i n i dimensional chaotic map with application in reversible data hiding for medical images
topic chaotic map
reversible data hiding
privacy protection
secure communication
url https://www.mdpi.com/1099-4300/26/3/254
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