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To improve the encryption performance and security of image encryption systems, a new image encryption algorithm is proposed that employs a compound chaotic map and random cyclic shift. First, a new hybrid chaotic system is designed by coupling logistic, ICMIC, Tent, and Chebyshev (HLITC) maps. Comparison tests with previous chaotic maps in terms of chaotic trajectory, Lyapunov exponent, and approximate entropy illustrate that the new hybrid chaotic map has better chaotic performance. Then, the proposed HLITC chaotic system and spiral transformation are used to develop a new chaotic image encryption scheme using the double permutation strategy. The new HLITC chaotic system is used to generate key sequences used in the image scrambling and diffusion stages. The spiral transformation controlled by the chaotic sequence is used to scramble the pixels of the plaintext image, while the XOR operation based on a chaotic map is used for pixel diffusion. Extensive experiments on statistical analysis, key sensitivity, and key space analysis were conducted. Experimental results show that the proposed encryption scheme has good robustness against brute-force attacks, statistical attacks, and differential attacks and is more effective than many existing chaotic image encryption algorithms.<\/jats:p>","DOI":"10.3390\/e25111516","type":"journal-article","created":{"date-parts":[[2023,11,5]],"date-time":"2023-11-05T07:35:06Z","timestamp":1699169706000},"page":"1516","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["Image Encryption Using a New Hybrid Chaotic Map and Spiral Transformation"],"prefix":"10.3390","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3527-2113","authenticated-orcid":false,"given":"Mingfang","family":"Jiang","sequence":"first","affiliation":[{"name":"School of Computer Science, Hunan First Normal University, Changsha 410205, China"},{"name":"Hunan Provincial Key Laboratory of Informationization for Basic Education, Hunan First Normal University, Changsha 410205, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hengfu","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Computer Science, Hunan First Normal University, Changsha 410205, China"},{"name":"Hunan Provincial Key Laboratory of Informationization for Basic Education, Hunan First Normal University, Changsha 410205, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,11,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1109\/MSP.2014.2329213","article-title":"Big data analysis with signal processing on graphs: Representation and processing of massive data sets with irregular structure","volume":"31","author":"Sandryhaila","year":"2014","journal-title":"IEEE Signal Process. 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