An Efficient Phase Image Encryption Scheme Based on Hessenberg Decomposition and Henon Map in Fresnel-Domain

Author(s)	Dr. Nagander Singh Tomer, Mr. Deepak Yadav
Country	India
Abstract	With the rapid growth of digital communication, ensuring the secure transmission of image data has become increasingly important. This paper proposes an optical image encryption that combines phase encoding, Fresnel transform, Hessenberg decomposition and a chaotic Henon map to achieve enhanced security. By combining these techniques, the scheme effectively obscures the visual and statistical characteristics of the original image and generates a highly randomized ciphertext. The performance of the proposed cryptosystem has been validated through extensive simulation studies. Histogram, mesh-plot, and correlation analyses demonstrate that the encrypted images contain no recognizable information about the original images. Furthermore, the high values of CC, PSNR, and SSIM, together with the low MSE values, confirm the accurate reconstruction of the original image after decryption. The results obtained under noise and occlusion attacks indicate that the scheme possesses strong robustness against data corruption and partial information loss. Therefore, the proposed encryption method provides an effective and reliable framework for secure image transmission and storage in modern digital communication systems.
Keywords	Phase image, Fresnel transform, Hessenberg decomposition, Chaotic Henon map.
Field	Mathematics
Published In	Volume 7, Issue 3, May-June 2026
Published On	2026-06-29

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