中国物理B ›› 2025, Vol. 34 ›› Issue (3): 30503-030503.doi: 10.1088/1674-1056/ada7db

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Hybrid image encryption scheme based on hyperchaotic map with spherical attractors

Zhitang Han(韩智堂)1, Yinghong Cao(曹颖鸿)1,†, Santo Banerjee2, and Jun Mou(牟俊)1,‡   

  1. 1 School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, China;
    2 Department of Mathematical Sciences, Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, Italy
  • 收稿日期:2024-12-01 修回日期:2024-12-19 接受日期:2025-01-09 发布日期:2025-03-15
  • 通讯作者: Yinghong Cao, Jun Mou E-mail:caoyinghong@dlpu.edu.cn;moujun@dlpu.edu.cn
  • 基金资助:
    Project supported by the Basic Scientific Research Projects of Department of Education of Liaoning Province, China (Grant No. LJ212410152049), and the Technological Innovation Projects in the field of artificial intelligence of Liaoning Province, China (Grant No. 2023JH26/10300011).

Hybrid image encryption scheme based on hyperchaotic map with spherical attractors

Zhitang Han(韩智堂)1, Yinghong Cao(曹颖鸿)1,†, Santo Banerjee2, and Jun Mou(牟俊)1,‡   

  1. 1 School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, China;
    2 Department of Mathematical Sciences, Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, Italy
  • Received:2024-12-01 Revised:2024-12-19 Accepted:2025-01-09 Published:2025-03-15
  • Contact: Yinghong Cao, Jun Mou E-mail:caoyinghong@dlpu.edu.cn;moujun@dlpu.edu.cn
  • Supported by:
    Project supported by the Basic Scientific Research Projects of Department of Education of Liaoning Province, China (Grant No. LJ212410152049), and the Technological Innovation Projects in the field of artificial intelligence of Liaoning Province, China (Grant No. 2023JH26/10300011).

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摘要： Existing chaotic encryption schemes primarily focus on single types of images, making the design of hybrid image encryption schemes more suitable for practical applications. In this paper, a hyperchaotic map with a spherical attractor is proposed, which is constructed using spherical coordinates. Dynamical analyses reveal that the hyperchaotic map exhibits global hyperchaos and high complexity, making it capable of generating more complex chaotic sequences suitable for image encryption. A hybrid encryption scheme based on a hyperchaotic map is proposed for two-dimensional (2D) images, three-dimensional (3D) models, and 3D point clouds. Firstly, the pixels of 2D image and the coordinate data of 3D image are fused into a plaintext cube, which is combined with Hash-512 to obtain the initial value of the hyperchaotic map. Chaotic sequences are utilized for cube space internal confusion and dynamic cross-diffusion. The encrypted images demonstrate high information entropy, and the test results show that the encryption scheme effectively protects the images. The proposed hybrid image encryption scheme provides an efficient solution for securing various types of images.

关键词: hyperchaotic map, spherical attractor, global hyperchaos, hybrid image encryption

Abstract: Existing chaotic encryption schemes primarily focus on single types of images, making the design of hybrid image encryption schemes more suitable for practical applications. In this paper, a hyperchaotic map with a spherical attractor is proposed, which is constructed using spherical coordinates. Dynamical analyses reveal that the hyperchaotic map exhibits global hyperchaos and high complexity, making it capable of generating more complex chaotic sequences suitable for image encryption. A hybrid encryption scheme based on a hyperchaotic map is proposed for two-dimensional (2D) images, three-dimensional (3D) models, and 3D point clouds. Firstly, the pixels of 2D image and the coordinate data of 3D image are fused into a plaintext cube, which is combined with Hash-512 to obtain the initial value of the hyperchaotic map. Chaotic sequences are utilized for cube space internal confusion and dynamic cross-diffusion. The encrypted images demonstrate high information entropy, and the test results show that the encryption scheme effectively protects the images. The proposed hybrid image encryption scheme provides an efficient solution for securing various types of images.

Key words: hyperchaotic map, spherical attractor, global hyperchaos, hybrid image encryption

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Gg (Control of chaos, applications of chaos)