Optical encryption using quadratic phase systems

Gopinathan, Unnikrishnan; Singh, Kehar

doi:10.1016/s0030-4018(01)01224-x

Cited by 80 publications

(56 citation statements)

References 23 publications

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“…The correlation coefficient is estimated as: (8) where and are gray-scale pixel values of the original and encrypted images. Table I shows the correlation coefficient values between the original image and the encrypted image for the DRPE and the proposed technique.…”

Section: B Correlation Cofficient Analysismentioning

confidence: 99%

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Optical Image Encryption Based on Chaotic Baker Map and Double Random Phase Encoding

Elshamy

Rashed

Mohamed

et al. 2013

J. Lightwave Technol.

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This paper presents a new technique for optical image encryption based on chaotic Baker map and Double Random Phase Encoding (DRPE). This technique is implemented in two layers to enhance the security level of the classical DRPE. The first layer is a pre-processing layer, which is performed with the chaotic Baker map on the original image. In the second layer, the classical DRPE is utilized. Matlab simulation experiments show that the proposed technique enhances the security level of the DRPE, and at the same time has a better immunity to noise. The first layer is a pre-processing layer, which is performed with the chaotic Baker map on the original image. In the second layer, the classical DRPE is utilized. Matlab simulation experiments show that the proposed technique enhances the security level of the DRPE, and at the same time has a better immunity to noise.

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Section: B Correlation Cofficient Analysismentioning

confidence: 99%

“…Some other methods are based on digital holography [8], [9], Fresnel domain [10], [11], multiplexing [12], [13], polarized light [14], and interferometery [15], [16]. It is important to mention here that the 2-D Discrete Fourier Transform (DFT) is essential to perform a large number of the optical encryption algorithms.…”

Section: Introductionmentioning

confidence: 99%

Optical Image Encryption Based on Chaotic Baker Map and Double Random Phase Encoding

Elshamy

Rashed

Mohamed

et al. 2013

J. Lightwave Technol.

View full text Add to dashboard Cite

show abstract

“…The properties of this system and systems like it have been investigated extensively [71][72][73][74][75]. Various other linear optical systems have also been proposed in similar encryption architectures [76][77][78][79][80][81][82][83][84]. For example, the random phase keys can be located in a fractional Fourier domain [76][77][78][79][80][81] or a Fresnel domain [61,82,83].…”

Section: Optical Image Encryptionmentioning

confidence: 99%

“…For example, the random phase keys can be located in a fractional Fourier domain [76][77][78][79][80][81] or a Fresnel domain [61,82,83]. The most general form of the linear canonical transform, implemented with any arbitrary quadratic phase system, has also been used in an encryption system that uses random phase as a key [84].…”

Section: Optical Image Encryptionmentioning

confidence: 99%

Phase in Optical Image Processing

Naughton¹,

Rastogi²,

Hack³

2010

AIP Conference Proceedings

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Abstract. The use of phase has a long standing history in optical image processing, with early milestones being in the field of pattern recognition, such as VanderLugt's practical construction technique for matched filters, and (implicitly) Goodman's joint Fourier transform correlator. In recent years, the flexibility afforded by phase-only spatial light modulators and digital holography, for example, has enabled many processing techniques based on the explicit encoding and decoding of phase. One application area concerns efficient numerical computations. Pushing phase measurement to its physical limits, designs employing the physical properties of phase have ranged from the sensible to the wonderful, in some cases making computationally easy problems easier to solve and in other cases addressing mathematics' most challenging computationally hard problems. Another application area is optical image encryption, in which, typically, a phase mask modulates the fractional Fourier transformed coefficients of a perturbed input image, and the phase of the inverse transform is then sensed as the encrypted image. The inherent linearity that makes the system so elegant mitigates against its use as an effective encryption technique, but we show how a combination of optical and digital techniques can restore confidence in that security. We conclude with the concept of digital hologram image processing, and applications of same that are uniquely suited to optical implementation, where the processing, recognition, or encryption step operates on full field information, such as that emanating from a coherently illuminated real-world three-dimensional object.

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“…This method uses two random phase masks, one in the input plane and the other in the Fourier plane, to encrypt the primary image into stationary white noise. Unnikrishnan and Singh [7,8,28] first proposed an optical encryption method using random phase encoding in the fractional Fourier domain and its opticallyimplemented approach. There is various lossy and lossless compression approaches also discussed in literature by researcher in [45,46,47,48,49,50,51] using different transform like wavelet, discrete cosine transform, Fractional cosine transform and FRFT etc.…”

Section: Introductionmentioning

confidence: 99%

Hybrid Encryption-Compression Scheme Based on Multiple Parameter Discrete Fractional Fourier Transform with Eigen Vector Decomposition Algorithm

Sharma¹,

Saxena²,

Singh³

2014

IJCNIS

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Abstract-Encryption along with compression is the process used to secure any multimedia content processing with minimum data storage and transmission. The transforms plays vital role for optimizing any encryptioncompression systems. Earlier the original information in the existing security system based on the fractional Fourier transform (FRFT) is protected by only a certain order of FRFT. In this article, a novel method for encryption-compression scheme based on multiple parameters of discrete fractional Fourier transform (DFRFT) with random phase matrices is proposed. The multiple-parameter discrete fractional Fourier transform (MPDFRFT) possesses all the desired properties of discrete fractional Fourier transform. The MPDFRFT converts to the DFRFT when all of its order parameters are the same. We exploit the properties of multipleparameter DFRFT and propose a novel encryptioncompression scheme using the double random phase in the MPDFRFT domain for encryption and compression data. The proposed scheme with MPDFRFT significantly enhances the data security along with image quality of decompressed image compared to DFRFT and FRFT and it shows consistent performance with different images. The numerical simulations demonstrate the validity and efficiency of this scheme based on Peak signal to noise ratio (PSNR), Compression ratio (CR) and the robustness of the schemes against bruit force attack is examined.

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Optical encryption using quadratic phase systems

Cited by 80 publications

References 23 publications

Optical Image Encryption Based on Chaotic Baker Map and Double Random Phase Encoding

Optical Image Encryption Based on Chaotic Baker Map and Double Random Phase Encoding

Phase in Optical Image Processing

Hybrid Encryption-Compression Scheme Based on Multiple Parameter Discrete Fractional Fourier Transform with Eigen Vector Decomposition Algorithm

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