https://doi.org/10.1140/epjp/s13360-026-07619-3
Regular Article
Image compression scheme based on semi-tensor product and thumbnail assisted recognition
1
School of Software, Taiyuan University of Technology, 030024, Taiyuan, China
2
School of Information Science and Engineering, Yanshan University, 066004, Oinhuangdao, China
3
School of Computer Science and Technology, Taiyuan University of Technology, 030024, Taiyuan, China
a
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Received:
26
February
2026
Accepted:
25
March
2026
Published online:
14
April
2026
Abstract
With the rapid growth of the scale and application of the Internet of Things (IoT), the security of cloud image transmission has become increasingly prominent. This paper combines the visual visibility of thumbnail-preserving encryption and the security of chaotic encryption, and proposes an image compression encryption algorithm with thumbnail assisted recognition for cloud images. Moreover, a two-dimensional (2D) hyperchaotic map named 2D-PMHM with negative control parameters is proposed, and the excellent pseudo-randomness and hyperchaotic performance of the proposed chaotic map is proved by various performance analysis indexes. Meanwhile, it is applied in both the thumbnail encryption process and compression-encryption process. During thumbnail generation, the important visual information is extracted using semi-tensor product (STP), non-negative matrix factorization (NMF), and the degree of visual invisibility K. In addition, the original image is quickly scrambled and encrypted by the proposed extensible fractal chaotic sorting matrix (E-FCSM), and then compressed and sampled by 2D compressed sensing (CS). Finally, the final ciphertext image is formed by changing pixel values by multi-dimensional cross diffusion method. Comparing the experimental simulation results with other existing schemes, the proposed approach has higher algorithm security while resisting noise attacks and crop attacks, and the secure thumbnails have a higher proportion of successful resistance to face detection.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
