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Proceedings ArticleDOI

Quaternion gyrator transform and its application to color image encryption

TLDR
Experimental results show that the proposed encryption algorithm for color image performs as well as the DQFTs method in terms of noise robustness, so that it could be a useful tool forcolor image encryption.
Abstract
The gyrator transform has been proposed in optics a few years ago. By using the theory of quaternion numbers, this paper presents the quaternion gyrator transform (QGT). It is shown that the QGT can be computed via the left-side type of quaternion Fourier transforms. The new transform is applied to color image encryption for validation, where the rotation angles are used as encryption keys making it more secure compared to a recent method using discrete quaternion Fourier transforms (DQFTs). Experimental results show that the proposed encryption algorithm for color image performs as well as the DQFTs method in terms of noise robustness, so that it could be a useful tool for color image encryption.

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Citations
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Journal ArticleDOI

Multi-image compression-encryption scheme based on quaternion discrete fractional Hartley transform and improved pixel adaptive diffusion

TL;DR: A new multi-image encryption scheme based on quaternion discrete fractional Hartley transform (QDFrHT) and an improved pixel adaptive diffusion is proposed, which can simultaneously increase the encryption capacity and reduce the consumption of keys.
Journal ArticleDOI

An efficient image encryption using non-dominated sorting genetic algorithm-III based 4-D chaotic maps

TL;DR: A non-dominated sorting genetic algorithm-III (NSGA-III) based 4-D chaotic map is designed, and a novel master-slave model for image encryption is designed to improve the computational speed of the proposed approach.
Journal ArticleDOI

Double color image encryption using iterative phase retrieval algorithm in quaternion gyrator domain.

TL;DR: A novel algorithm to encrypt double color images into a single undistinguishable image in quaternion gyrator domain is described using an iterative phase retrieval algorithm and the phase masks used for encryption are obtained.
Journal ArticleDOI

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

TL;DR: 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 theCompared 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.
Journal ArticleDOI

Combining double random phase encoding for color image watermarking in quaternion gyrator domain

TL;DR: A joint encryption/watermarking system with more security based on double random phase encoding (DRPE) in quaternion gyrator transform domain is addressed and achieves lower complexity by reason of avoiding repetitive operations.
References
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Journal ArticleDOI

Image Denoising by Sparse 3-D Transform-Domain Collaborative Filtering

TL;DR: An algorithm based on an enhanced sparse representation in transform domain based on a specially developed collaborative Wiener filtering achieves state-of-the-art denoising performance in terms of both peak signal-to-noise ratio and subjective visual quality.
Journal ArticleDOI

Optical image encryption based on input plane and Fourier plane random encoding.

TL;DR: A new optical encoding method of images for security applications is proposed and it is shown that the encoding converts the input signal to stationary white noise and that the reconstruction method is robust.
Journal ArticleDOI

Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D complex FFT

TL;DR: In this paper, the authors developed efficient algorithms for quaternion Fourier transform (QFT), QCV, and Qaternion correlation for color image processing, where the conventional two-dimensional (2D) Fourier Transform (FT) is used to implement these quaternions very efficiently.

Efficient Implementation of Quaternion Fourier Transform, Convolution, and Correlation by 2-D

TL;DR: Efficient algorithms for QFT, QCV, and quaternion correlation are developed and the spectrum-product QCV is developed, which is an improvement of the conventional form of QCV and very useful for quaternions filter design.
Journal ArticleDOI

Gyrator transform: properties and applications.

TL;DR: The main properties of the gyrator operation which produces a rotation in the twisting phase planes are formulated and this transform can be easily performed in paraxial optics that underlines its possible application for image processing, holography, beam characterization, mode conversion and quantum information.
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