Securing color information using Arnold transform in gyrator transform domain

Abuturab, Muhammad Rafiq

doi:10.1016/j.optlaseng.2011.12.006

Cited by 96 publications

(40 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Rodrigo et al have derived the main properties of the GT [26], designed a setup to optically implement this transform [27] and presented several applications of the GT to image processing [7]. The GT has been utilized in image encryption with: RPMs generated by chaos [28], Arnold transform [29] and iterative random phase encoding [30,31,32], among other works.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear image encryption using a fully phase nonzero-order joint transform correlator in the Gyrator domain

Vilardy

Millán

Pérez‐Cabré

2017

Optics and Lasers in Engineering

View full text Add to dashboard Cite

Abstract.A novel nonlinear image encryption scheme based on a fully phase nonzeroorder joint transform correlator architecture (JTC) in the Gyrator domain (GD) is proposed. In this encryption scheme, the two non-overlapping data distributions of the input plane of the JTC are fully encoded in phase and this input plane is transformed using the Gyrator transform (GT); the intensity distribution captured in the GD represents a new definition of the joint Gyrator power distribution (JGPD). The JGPD is modified by two nonlinear operations with the purpose of retrieving the encrypted image, with enhancement of the decrypted signal quality and improvement of the overall security. There are three keys used in the encryption scheme, two random phase masks and the rotation angle of the GT, which are all necessary for a proper decryption. Decryption is highly sensitivity to changes of the rotation angle of the GT as well as to little changes in other parameters or keys. The proposed encryption scheme in the GD still preserves the shift-invariance properties originated in the JTC-based encryption in the Fourier domain. The proposed encryption scheme is more resistant to brute force attacks, chosen-plaintext attacks, known-plaintext attacks, and ciphertext-only attacks, as they have been introduced in the cryptanalysis of the JTC-based encryption system. Numerical results are presented and discussed in order to verify and analyze the feasibility and validity of the novel encryption-decryption scheme.

show abstract

Section: Introductionmentioning

confidence: 99%

Nonlinear image encryption using a fully phase nonzero-order joint transform correlator in the Gyrator domain

Vilardy

Millán

Pérez‐Cabré

2017

Optics and Lasers in Engineering

View full text Add to dashboard Cite

show abstract

“…One is based on matrix transformation to shift coordinates and the other makes use of permutations of the pixel coordinates. Most of the scrambling approaches are based on an Arnold Transform or a combination of the Arnold Transform with other techniques [5]- [8]. However, these methods are applicable only to equilateral images.…”

Section: Introductionmentioning

confidence: 99%

Multilevel Pixel Colour Values Scrambling Based on Shifting Image Technique

Abugharsa¹,

Almangush²

2018

IJCATR

View full text Add to dashboard Cite

-Image scrambling is a useful approach to protect image data by confusing the image and thus prevent it from being misused. The issues concerning the relationship among the adjacent pixels of the scrambled image, the weakness of visual leakage, and similar histogram plots being produced, all affect the image scrambling process. This paper is aimed at determining the iteration level that is extracted from a secure key and a key mask for building a scrambling table which is used in the scrambling processes and modifying the pixel colour values. The technique begins by modified pixel colour values. These pixel colour values are then scrambled by reduce or the increase (modified) the pixel colour values in the image between the range of the colour (0 to 255) by using a vertical and horizontal scrambling method based on a scrambling table. The experimental results of the paper show that the pixel colour values scrambling technique has reduced the relationship among the image elements. This occurs because the entropy value of the scrambled images has increased and the correlation value is lower. Moreover, the scrambling degree of the scrambling technique has larger values for the scrambled image. Subsequently, the pixel colour value modification in the technique helps to confuse and amend the pixel colour values of the scrambled image to produce a different histogram plot when compared with plots made from the original images.

show abstract

“…Since development of the double random phase encryption (DRPE) technique [1], in which the image is encoded to be a white noise pattern with two statistically independent random phase masks (RPM), a number of improved DPRE-based image encryption methods have been proposed, to achieve higher security [2][3][4][5][6][7]. Most of the optical encryption methods can be viewed as symmetric cryptosystems, in which the keys for encryption and decryption are identical [8].…”

Section: Introductionmentioning

confidence: 99%

Asymmetric Multiple-Image Encryption Based on Octonion Fresnel Transform and Sine Logistic Modulation Map

2016

Journal of the Optical Society of Korea

View full text Add to dashboard Cite

A novel asymmetric multiple-image encryption method using an octonion Fresnel transform (OFST) and a two-dimensional Sine Logistic modulation map (2D-SLMM) is presented. First, a new multiple-image information processing tool termed the octonion Fresneltransform is proposed, and then an efficient method to calculate the OFST of an octonion matrix is developed. Subsequently this tool is applied to process multiple plaintext images, which are represented by octonion algebra, holistically in a vector manner. The complex amplitude, formed from the components of the OFST-transformed original images and modulated by a random phase mask (RPM), is used to derive the ciphertext image by employing an amplitude-and phase-truncation approach in the Fresnel domain. To avoid sending whole RPMs to the receiver side for decryption, a random phase mask generation method based on SLMM, in which only the initial parameters of the chaotic function are needed to generate the RPMs, is designed. To enhance security, the ciphertext and two decryption keys produced in the encryption procedure are permuted by the proposed SLMM-based scrambling method. Numerical simulations have been carried out to demonstrate the proposed scheme's validity, high security, and high resistance to various attacks.

show abstract

Securing color information using Arnold transform in gyrator transform domain

Cited by 96 publications

References 29 publications

Nonlinear image encryption using a fully phase nonzero-order joint transform correlator in the Gyrator domain

Nonlinear image encryption using a fully phase nonzero-order joint transform correlator in the Gyrator domain

Multilevel Pixel Colour Values Scrambling Based on Shifting Image Technique

Asymmetric Multiple-Image Encryption Based on Octonion Fresnel Transform and Sine Logistic Modulation Map

Contact Info

Product

Resources

About