{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T18:13:23Z","timestamp":1774980803936,"version":"3.50.1"},"reference-count":56,"publisher":"Public Library of Science (PLoS)","issue":"3","license":[{"start":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T00:00:00Z","timestamp":1774915200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"the Key Research Project of Natural Science in Universities of Anhui Province","award":["2023AH051807"],"award-info":[{"award-number":["2023AH051807"]}]},{"name":"the Key Research Project of Natural Science in Universities of Anhui Province","award":["2022AH051864"],"award-info":[{"award-number":["2022AH051864"]}]},{"name":"the Key Research Project of Natural Science in Universities of Anhui Province","award":["2024AH050611"],"award-info":[{"award-number":["2024AH050611"]}]},{"name":"Anhui Xinhua University Level Research Project","award":["2022zr003"],"award-info":[{"award-number":["2022zr003"]}]}],"content-domain":{"domain":["www.plosone.org"],"crossmark-restriction":false},"short-container-title":["PLoS One"],"abstract":"<jats:p>\n                    As color images have become a cornerstone of information exchange in the digital age, ensuring their security is of paramount importance. With the traditional scrambling\u2013diffusion structure, this paper proposes a novel color image encryption algorithm by integrating\u00a0of an\u2009\u221e\u2009-shaped transformation with a closed-loop control mechanism. First, the three channel matrices are merged, and the elements in each row are linked into a closed loop for initial diffusion. Secend, the diffused image is subsequently restructured into a three-row matrix and scrambled using a unique\u2009\u221e\u2009-shaped transformation. Finally, column-wise closed-loop diffusion is applied to generate the cipher image. This algorithm not only achieves effective inter-channel pixel confusion through the\u2009\u221e\u2009-shaped transformation, but also performs additional\u00a0diffusion and confusion under the closed-loop control model. Experimental results demonstrate the algorithm\u2019s excellent overall performance: the key space is as large as 2\n                    <jats:sup>413<\/jats:sup>\n                    , information entropy approaches the ideal value of 8 with increasing image size, and the algorithm exhibits high sensitivity, with NPCR and UACI exceeding 99.6% and 33.4%, respectively. Quantitative evaluation confirms that the proposed algorithm offers strong robustness against differential, statistical, and brute-force attacks.\n                  <\/jats:p>","DOI":"10.1371\/journal.pone.0345460","type":"journal-article","created":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T17:40:34Z","timestamp":1774978834000},"page":"e0345460","update-policy":"https:\/\/doi.org\/10.1371\/journal.pone.corrections_policy","source":"Crossref","is-referenced-by-count":0,"title":["Color image encryption algorithm based on \u221e-shaped transformation and closed-loop control 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