Images encryption system based on a fractional joint transform correlator and nonlinear filtering

Vilardy, Juan M.; Garcia-Varela, M. Sagrario Millán; Cabré, Elisabet Pérez

doi:10.7149/opa.47.1.35

Cited by 14 publications

(15 citation statements)

References 15 publications

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“…The DRPE system implemented with a JTC is also vulnerable to CPA [12], KPA [13] and COA [14]. Other modifications of the JTC architecture in different optical processing domains to implement the DRPE system have been proposed by several authors [15][16][17][18][19][20][21][22]. These new proposals simplify the optical setup of the encryption system, increase the security of the encryption system and improve the quality of the decrypted image.…”

Section: Introductionmentioning

confidence: 99%

Optical Image Encryption Using a Nonlinear Joint Transform Correlator and the Collins Diffraction Transform

Perez

2019

Photonics

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The Collins diffraction transform (CDT) describes the optical wave diffraction from the generic paraxial optical system. The CDT has as special cases the diffraction domains given by the Fourier, Fresnel and fractional Fourier transforms. In this paper, we propose to describe the optical double random phase encoding (DRPE) using a nonlinear joint transform correlator (JTC) and the CDT. This new description of the nonlinear JTC-based encryption system using the CDT covers several optical processing domains, such as Fourier, Fresnel, fractional Fourier, extended fractional Fourier and Gyrator domains, among others. The maximum number of independent design parameters or new security keys of the proposed encryption system using the CDT increases three times in comparison with the same encryption system that uses the Fourier transform. The proposed encryption system using the CDT preserves the shift-invariance property of the JTC-based encryption system in the Fourier domain, with respect to the lateral displacement of both the key random mask in the decryption process and the retrieval of the primary image. The viability of this encryption system is verified and analysed by numerical simulations.

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Section: Introductionmentioning

confidence: 99%

Optical Image Encryption Using a Nonlinear Joint Transform Correlator and the Collins Diffraction Transform

Perez

2019

Photonics

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“…(12) given by the term |h α (u, v)| 2 in the denominator, permits the retrieval of the original image in Eq. (14) [14,15,17,18]. The decryption scheme presented in Fig.…”

Section: Decryption Schemementioning

confidence: 99%

Section: Encryption Schemementioning

confidence: 99%

“…This drawback was overcome in [13] by introducing a nonlinear operation in the encrypted function, obtaining simultaneously an enhancement of the decrypted image quality and an improvement of the system security. The DRPE implemented with a JTC architecture has been extended from the Fourier domain to the Fresnel domain [14,15], the fractional Fourier domain [16,17,18] and the GD [19,20]. The optical security system presented in [19] is based on phase-shifting interferometry, and therefore, the encrypted image and the decryption process differ from the DRPE presented in [3,9].…”

Section: Introductionmentioning

confidence: 99%

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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

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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.

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“…One of the main drawbacks of the image encryption systems based on the initial DRPE is that the security of the system is vulnerable to attacks, this weakness is due to the linear property of the DRPE scheme [1][2][3]. The DRPE has been further extended from the Fourier domain to the Fresnel domain [4][5][6], the fractional Fourier domain [7][8][9][10][11][12], the Gyrator domain (GD) [13][14][15][16] and other domains [17][18][19][20], with the purpose of adding more keys and increasing the security of the DRPE system.The Gyrator transform (GT) is a mathematical tool for analysis and processing of twodimensional signals [21]. The GT has been used in optics [22], signal processing [13] and image encryption [13][14][15][16].…”

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confidence: 99%

Image encryption using the Gyrator transform and random phase masks generated by using chaos

Vilardy

Jimenez

Perez

2017

J. Phys.: Conf. Ser.

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Abstract. The Gyrator transform (GT), chaotic random phase masks (CRPMs) and a random permutation of the Jigsaw transform (JT) are utilized to design an images encryption-decryption system. The encryption-decryption system is based on the double random phase encoding (DRPE) in the Gyrator domain (GD), this technique uses two random phase masks (RPMs) to encode the image to encrypt (original image) into a random noise. The RPMs are generated by using chaos, these masks are CRPMs. The parameters of the chaotic function have the control of the generation of the CRPMs. We apply a random permutation to the resulting image of the DRPE technique, with the purpose of obtaining an encrypted image with a higher randomness. In order to successfully retrieve the original image (without errors or noise-free) at the output of the decryption system is necessary to have all the proper keys, which are: the rotation angles of the GTs, the parameters of the chaotic function utilized to generate the two CRPMs and the random permutation of the JT. We check and analyze the validity of the image encryption and decryption systems by means of computing simulations. IntroductionThe image encryption is different from traditional cryptology because the spatial, frequency and redundancy features of the image to encrypt are analysed and processed by the image encryption system [1]. The double random phase encoding (DRPE) is a successful method for optical image encryption [1][2][3], the DRPE uses two random phase masks (RPMs) with the purpose of encoding the image to encrypt (original image) into a stationary white noise pattern (encrypted image). One of the main drawbacks of the image encryption systems based on the initial DRPE is that the security of the system is vulnerable to attacks, this weakness is due to the linear property of the DRPE scheme [1][2][3]. The DRPE has been further extended from the Fourier domain to the Fresnel domain [4][5][6], the fractional Fourier domain [7][8][9][10][11][12], the Gyrator domain (GD) [13][14][15][16] and other domains [17][18][19][20], with the purpose of adding more keys and increasing the security of the DRPE system.The Gyrator transform (GT) is a mathematical tool for analysis and processing of twodimensional signals [21]. The GT has been used in optics [22], signal processing [13] and image encryption [13][14][15][16].In this paper, we propose a nonlinear image encryption-decryption system based on the DRPE, the GT, the chaotic random phase masks (CRPMs) and the Jigsaw transform (JT), in order to overcome the security vulnerabilities of the initial DRPE proposed in Ref. [2]. We use the GT to improve the security of the original DRPE by adding a new key for the encryption system (the

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Images encryption system based on a fractional joint transform correlator and nonlinear filtering

Cited by 14 publications

References 15 publications

Optical Image Encryption Using a Nonlinear Joint Transform Correlator and the Collins Diffraction Transform

Optical Image Encryption Using a Nonlinear Joint Transform Correlator and the Collins Diffraction Transform

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

Image encryption using the Gyrator transform and random phase masks generated by using chaos

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