@inproceedings{2b6560168f9b4fe7ad872d7a16e7e41b,
title = "Discrete Random Quaternion Linear Canonical Transform and Its Application to Color Image Encryption",
abstract = "Linear canonical transform (LCT) is widely used in wave propagation modeling and signal processing. This paper proposes a discrete random quaternion LCT (DRQLCT) by integrating quaternion algebra with random discrete LCT (RDLCT), significantly enhancing the flexibility and security of multidimensional signal processing. We establish a unified DRQLCT mathematical model for 1D/2D signals and explore the fundamental properties of DRQLCT. We propose an efficient discrete method to implement DRQLCT that exploits the relationship between the four components of DRQLCT and the RDLCT of the signal. Finally, the DRQLCT is applied to color image encryption and constructs a quaternion-domain randomized encryption system. Results demonstrate that the proposed method performs well in encryption performance and robustness.",
keywords = "Color image encryption, Discrete linear canonical transform, Quaternion algebra, Quaternion Fourier Transform, Random discrete linear canonical transform",
author = "Jingjing Liu and Feng Zhang and Mingfeng Lu",
note = "Publisher Copyright: {\textcopyright} 2025 SPIE.; 17th International Conference on Digital Image Processing, ICDIP 2025 ; Conference date: 25-04-2025 Through 27-04-2025",
year = "2025",
month = jul,
day = "22",
doi = "10.1117/12.3073115",
language = "English",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
editor = "Ting-Chung Poon and Xudong Jiang and Zhaohui Wang and Jindong Tian",
booktitle = "Seventeenth International Conference on Digital Image Processing, ICDIP 2025",
address = "United States",
}