NDLI: Multiple-parameter fractional quaternion Fourier transform and its application in colour image encryption

Content Provider	IET Digital Library
Author	Chen, Beijing Yu, Ming Tian, Yuhang Li, Leida Wang, Dingcheng Sun, Xingming
Abstract	In this study, by using the quaternion algebra, multiple-parameter fractional quaternion Fourier transform (MPFrQFT) is proposed to generalise the conventional multiple-parameter fractional Fourier transform (MPFrFT) to quaternion signal processing in a holistic manner. First, the new transform MPFrQFT and its inverse transform are defined. An efficient discrete implementation method of MPFrQFT is then proposed, in which the relationship between MPFrQFT and MPFrFT of four components is utilised for a quaternion signal. Finally, a new colour image encryption algorithm based on the proposed MPFrQFT and the double random phase encoding technique is proposed to evaluate the performance of the proposed MPFrQFT. Experimental results demonstrate that: (i) the computational time of the proposed implementation method is almost a half of the direct method's time; (ii) the proposed MPFrQFT-based encryption algorithm has an overall better performance than eight compared algorithms in security test and robustness test: it is more secure than the compared frequency-based algorithms due to the larger key space and the more sensitive key ‘transform orders’; it is also more robust than the compared spatial-domain algorithms.
Starting Page	2238
Ending Page	2249
Page Count	12
ISSN	17519659
Volume Number	12
e-ISSN	17519667
Issue Number	Issue 12, Dec (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-ipr/12/12
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-ipr.2018.5440
Journal	IET Image Processing
Publisher Date	2018-08-29
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Colour Image Encryption Algorithm Computer Vision And Image Processing Technique Cryptography Double Random Phase Encoding Fourier Transforms Image And Video Coding Image Coding Image Colour Analysis Integral Transforms in Numerical Analysis Inverse Transform Inverse Transforms MPFrQFT-based Encryption Algorithm Multiple-parameter Fractional Quaternion Fourier Transform Quaternion Algebra Quaternion Signal Processing Sensitive Key Transform Orders Signal Processing
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering Computer Vision and Pattern Recognition Software

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