{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,16]],"date-time":"2026-06-16T17:54:04Z","timestamp":1781632444700,"version":"3.54.5"},"reference-count":36,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2021,1,23]],"date-time":"2021-01-23T00:00:00Z","timestamp":1611360000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["U1836205, 61662009, and 61772008"],"award-info":[{"award-number":["U1836205, 61662009, and 61772008"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the open Foundation of Guizhou Provincial Key Laboratory of Public Big Data","award":["2017BDKFJJ023, 2017BDKFJJ026"],"award-info":[{"award-number":["2017BDKFJJ023, 2017BDKFJJ026"]}]},{"name":"the Science and Technology Foundation of Guizhou","award":["Guizhou Science-Contract-Major-Program [2018]3001,  Guizhou-Science-Contract-Major-Program [2018]3007, Guizhou-Science-Contract-Major-Program [2017]3002, Guizhou-Science-Contract-Support [2019]2004, Guizhou-Science-Contract-Support [2018]2162, Guizhou-Sci"],"award-info":[{"award-number":["Guizhou Science-Contract-Major-Program [2018]3001,  Guizhou-Science-Contract-Major-Program [2018]3007, Guizhou-Science-Contract-Major-Program [2017]3002, Guizhou-Science-Contract-Support [2019]2004, Guizhou-Science-Contract-Support [2018]2162, Guizhou-Sci"]}]},{"name":"The Project of Innovative Group in Guizhou Education Department","award":["[2013]09"],"award-info":[{"award-number":["[2013]09"]}]},{"name":"The Youth Science and Technology Talents Growth Project of the Guizhou Provincial Department of Education","award":["Guizhou-Education-Contract-KY-Word [2018]260"],"award-info":[{"award-number":["Guizhou-Education-Contract-KY-Word [2018]260"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>With the development of mobile communication network, especially 5G today and 6G in the future, the security and privacy of digital images are important in network applications. Meanwhile, high resolution images will take up a lot of bandwidth and storage space in the cloud applications. Facing the demands, an efficient and secure plaintext-related chaotic image encryption scheme is proposed based on compressive sensing for achieving the compression and encryption simultaneously. In the proposed scheme, the internal keys for controlling the whole process of compression and encryption is first generated by plain image and initial key. Subsequently, discrete wavelets transform is used in order to convert the plain image to the coefficient matrix. After that, the permutation processing, which is controlled by the two-dimensional Sine improved Logistic iterative chaotic map (2D-SLIM), was done on the coefficient matrix in order to make the matrix energy dispersive. Furthermore, a plaintext related compressive sensing has been done utilizing a measurement matrix generated by 2D-SLIM. In order to make the cipher image lower correlation and distribute uniform, measurement results quantified the 0\u223c255 and the permutation and diffusion operation is done under the controlling by two-dimensional Logistic-Sine-coupling map (2D-LSCM). Finally, some common compression and security performance analysis methods are used to test our scheme. The test and comparison results shown in our proposed scheme have both excellent security and compression performance when compared with other recent works, thus ensuring the digital image application in the network.<\/jats:p>","DOI":"10.3390\/s21030758","type":"journal-article","created":{"date-parts":[[2021,1,25]],"date-time":"2021-01-25T09:59:40Z","timestamp":1611568780000},"page":"758","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":45,"title":["An Efficient Plaintext-Related Chaotic Image Encryption Scheme Based on Compressive Sensing"],"prefix":"10.3390","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1691-3384","authenticated-orcid":false,"given":"Zhen","family":"Li","sequence":"first","affiliation":[{"name":"College of Computer Science and Technology, State Key Laboratory of Public Big Data, Guizhou University, Guiyang 550025, China"},{"name":"College of Big Data and Information Engineering, Guizhou University, Guiyang 550025, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8733-4596","authenticated-orcid":false,"given":"Changgen","family":"Peng","sequence":"additional","affiliation":[{"name":"College of Computer Science and Technology, State Key Laboratory of Public Big Data, Guizhou University, Guiyang 550025, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6590-5757","authenticated-orcid":false,"given":"Weijie","family":"Tan","sequence":"additional","affiliation":[{"name":"College of Computer Science and Technology, State Key Laboratory of Public Big Data, Guizhou University, Guiyang 550025, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7760-9146","authenticated-orcid":false,"given":"Liangrong","family":"Li","sequence":"additional","affiliation":[{"name":"College of Big Data and Information Engineering, Guizhou University, Guiyang 550025, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2021,1,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2","article-title":"Deterministic Non-period Flows","volume":"20","author":"Lorenz","year":"1963","journal-title":"J. Atmos. Sci."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1750091","DOI":"10.1142\/S0218127417500912","article-title":"A Memristive Hyperchaotic Multiscroll Jerk System with Controllable Scroll Numbers","volume":"27","author":"Wang","year":"2017","journal-title":"Int. J. Bifurc. Chaos"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1080\/0161-118991863745","article-title":"On the derivation of a \u201cchaotic\u201d encryption algorithm","volume":"13","author":"Matthews","year":"1989","journal-title":"Cryptologia"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"27611","DOI":"10.1007\/s11042-019-07881-x","article-title":"A novel image encryption scheme based on Arnold scrambling and Lucas series","volume":"78","author":"Batool","year":"2019","journal-title":"Multimed. Tools Appl."},{"key":"ref_5","unstructured":"Putra, R.K. (2020). Implementasi Arnold\u2019s Cat Map dan Logistic Map dalam Pemanfaatan Enkripsi dan Dekripsi Citra Digital. [Ph.D. Thesis, Institut Teknologi Sepuluh Nopember]."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"106139","DOI":"10.1016\/j.optlaseng.2020.106139","article-title":"Triple color image encryption based on 2D multiple parameter fractional discrete Fourier transform and 3D Arnold transform","volume":"133","author":"Joshi","year":"2020","journal-title":"Opt. Lasers Eng."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"29901","DOI":"10.1007\/s11042-020-09454-9","article-title":"An efficient image encryption algorithm based on multi chaotic system and random DAN coding","volume":"79","author":"Zheng","year":"2020","journal-title":"Multimed. Tools Appl."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"24993","DOI":"10.1007\/s11042-020-09111-1","article-title":"An image encryption scheme based on a hybrid model of DNA computing, chaotic systems and hash functions","volume":"79","author":"Zefreh","year":"2020","journal-title":"Multimed. Tools Appl."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"7469","DOI":"10.3390\/app10217469","article-title":"A Novel Chaos-Based Image Encryption Scheme by Using Randomly DNA Encode and Plaintext Related Permutation","volume":"10","author":"Li","year":"2020","journal-title":"Appl. Sci."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1016\/j.ins.2018.03.055","article-title":"The unified image encryption algorithm based on chaos and cubic S-Box","volume":"450","author":"Zhang","year":"2018","journal-title":"Inf. Sci."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"781","DOI":"10.3390\/app9040781","article-title":"S-box based image encryption application using a chaotic system without equilibrium","volume":"9","author":"Wang","year":"2019","journal-title":"Appl. Sci."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"676","DOI":"10.1016\/j.aeue.2014.02.002","article-title":"Chaos-based color image block encryption scheme using S-box","volume":"68","author":"Liu","year":"2014","journal-title":"AEU Int. J. Electron. Commun."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1319","DOI":"10.1007\/s11071-018-4426-4","article-title":"A novel plaintext-related image encryption scheme using hyper-chaotic system","volume":"94","author":"Li","year":"2018","journal-title":"Nonlinear Dyn."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"158","DOI":"10.1016\/j.neunet.2020.05.016","article-title":"Impulsive synchronization of coupled delayed neural networks with actuator saturation and its application to image encryption","volume":"128","author":"Ouyang","year":"2020","journal-title":"Neural Netw."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1007\/s11071-017-3436-y","article-title":"An image encryption algorithm based on compound homogeneous hyper-chaotic system","volume":"89","author":"Zhu","year":"2017","journal-title":"Nonlinear Dyn."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1497","DOI":"10.3390\/sym12091497","article-title":"A Novel Chaos-Based Color Image Encryption Scheme Using Bit-Level Permutation","volume":"12","author":"Li","year":"2020","journal-title":"Symmetry"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1289","DOI":"10.1109\/TIT.2006.871582","article-title":"Compressed sensing","volume":"52","author":"Donoho","year":"2006","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1109\/MSP.2007.4286571","article-title":"Compressive sensing [lecture notes]","volume":"24","author":"Baraniuk","year":"2007","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1016\/j.sigpro.2018.02.007","article-title":"An image encryption algorithm based on chaotic system and compressive sensing","volume":"148","author":"Chai","year":"2018","journal-title":"Signal Process."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"20855","DOI":"10.1007\/s11042-019-7405-y","article-title":"A new image compression-encryption scheme based on compressive sensing and cyclic shift","volume":"78","author":"Zhu","year":"2019","journal-title":"Multimed. Tools Appl."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"4961","DOI":"10.1007\/s00521-018-3913-3","article-title":"An efficient chaos-based image compression and encryption scheme using block compressive sensing and elementary cellular automata","volume":"32","author":"Chai","year":"2020","journal-title":"Neural Comput. Appl."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"22161","DOI":"10.1109\/ACCESS.2019.2897721","article-title":"A novel image encryption scheme based on nonuniform sampling in block compressive sensing","volume":"7","author":"Zhu","year":"2019","journal-title":"IEEE Access"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/j.optlastec.2019.01.039","article-title":"An image compression and encryption algorithm based on chaotic system and compressive sensing","volume":"115","author":"Gong","year":"2019","journal-title":"Opt. Laser Technol."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"3957","DOI":"10.1007\/s11042-019-7642-0","article-title":"A novel encrypted compressive sensing of images based on fractional order hyper chaotic Chen system and DNA operations","volume":"79","author":"Kayalvizhi","year":"2020","journal-title":"Multimed. Tools Appl."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"5695","DOI":"10.1109\/TSP.2007.900760","article-title":"Optimized Projections for Compressed Sensing","volume":"55","author":"Elad","year":"2007","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"894","DOI":"10.1109\/TGRS.2013.2245509","article-title":"Compressed Sensing-Based Inpainting of Aqua Moderate Resolution Imaging Spectroradiometer Band 6 Using Adaptive Spectrum-Weighted Sparse Bayesian Dictionary Learning","volume":"52","author":"Shen","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1109\/JSTSP.2009.2039173","article-title":"A Stochastic Gradient Approach on Compressive Sensing Signal Reconstruction Based on Adaptive Filtering Framework","volume":"4","author":"Jin","year":"2010","journal-title":"IEEE J. Sel. Top. Signal Process."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Tan, W., Feng, X., Tan, W., Liu, G., Ye, X., and Li, C. (2018, January 12\u201316). An Iterative Adaptive Dictionary Learning Approach for Multiple Snapshot DOA Estimation. Proceedings of the 2018 14th IEEE International Conference on Signal Processing (ICSP), Beijing, China.","DOI":"10.1109\/ICSP.2018.8652431"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/j.optlaseng.2019.04.011","article-title":"A fast image encryption algorithm based on compressive sensing and hyperchaotic map","volume":"121","author":"Xu","year":"2019","journal-title":"Opt. Lasers Eng."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"148","DOI":"10.1016\/j.sigpro.2018.03.010","article-title":"2D Logistic-Sine-coupling map for image encryption","volume":"149","author":"Hua","year":"2018","journal-title":"Signal Process."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"3119","DOI":"10.1142\/S0218127405014052","article-title":"On the dynamical degradation of digital piecewise linear chaotic maps","volume":"15","author":"Li","year":"2005","journal-title":"Int. J. Bifurc. Chaos"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Curiac, D.I., Iercan, D., Dranga, O., Dragan, F., and Banias, O. (2007, January 14\u201320). Chaos-based cryptography: End of the road?. Proceedings of the International Conference on Emerging Security Information, Systems, and Technologies (SECUREWARE 2007), Valencia, Spain.","DOI":"10.1109\/SECUREWARE.2007.4385313"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/j.sigpro.2016.11.016","article-title":"A visually secure image encryption scheme based on compressive sensing","volume":"134","author":"Chai","year":"2017","journal-title":"Signal Process."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"105851","DOI":"10.1016\/j.optlaseng.2019.105851","article-title":"A novel chaotic algorithm for image encryption utilizing one-time pad based on pixel level and DNA level","volume":"125","author":"Wang","year":"2020","journal-title":"Opt. Lasers Eng."},{"key":"ref_35","first-page":"31","article-title":"NPCR and UACI randomness tests for image encryption","volume":"1","author":"Wu","year":"2011","journal-title":"Cyber J. Multidiscip. J. Sci. Technol. J. Sel. Areas Telecommun."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1016\/j.ins.2012.07.049","article-title":"Local Shannon entropy measure with statistical tests for image randomness","volume":"222","author":"Wu","year":"2013","journal-title":"Inf. Sci."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/3\/758\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T05:14:29Z","timestamp":1760159669000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/3\/758"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,23]]},"references-count":36,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2021,2]]}},"alternative-id":["s21030758"],"URL":"https:\/\/doi.org\/10.3390\/s21030758","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,23]]}}}