Gyrator wavelet transform

Mehra, Isha; Fatima, Areeba; Nishchal, Naveen K.

doi:10.1049/iet-ipr.2017.0666

Cited by 15 publications

(7 citation statements)

References 29 publications

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“…Anand proposed a new method for reducing wavelet thresholds and obtained an optimal proof from an asymptotic point of view [ 24 ]. Mehra et al is mainly engaged in image modeling, image decomposition, wavelet transform, and image decomposition [ 25 ].…”

Section: Related Workmentioning

confidence: 99%

[Retracted] Exploring Wavelet Transform‐Based Image Enhancement Algorithm for Image Restoration of Long March National Cultural Park

Wang

2022

Journal of Environmental and Public Health

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China has taken the lead in exploring the construction of large-scale public cultural parks. By restoring the relics of the Long March, we can further promote the spirit of the Red Army, inherit the red gene, contribute to national pride, and contribute to local economic development. A new community will be built with culture, education, tourism, and leisure as the main contents. System aberration, human interference, motion, and system noise can all lead to image quality degradation. Wavelet enhancement technique is to use Wiener filtering in the Fourier region, using other properties of wavelets for filtering. The wavelet analysis method was used to recover the images within the Long March National Park, and the corresponding processing was carried out to achieve a better recovery effect. Through comparative tests, it was found that the algorithm had an average reduction of 223 iterations and an average increase of 11.264 in signal-to-noise ratio when iterating, and the number of iterations was also greatly improved. The higher the wavelet coefficients are, the higher the noise is. This paper introduces a new wavelet transform-based image restoration technique for national parks.

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Section: Related Workmentioning

confidence: 99%

[Retracted] Exploring Wavelet Transform‐Based Image Enhancement Algorithm for Image Restoration of Long March National Cultural Park

Wang

2022

Journal of Environmental and Public Health

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“…One of the modifications developed to deal with these attacks involves the implementation of DRPE schemes which introduce new transform domains between the input and output plane of the system. These include the use of Fresnel transforms (FrTs) [19,20], fractional Fourier transforms [21][22][23][24], and gyrator transforms [25,26], to name a few. Other implemented methods to increase security are the use of nonlinear modifications of the ciphertext [27], the encoding of the plaintext into a phase function [28,29], the use of cryptographic salting [30], and asymmetric encryption [25,[31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Optical encryption using phase modulation generated by thermal lens effect

osorio¹,

Velez-Zea²,

Cabrera³

et al. 2022

J. Opt.

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We present the implementation of an experimental optical encryption configuration in the Fresnel domain using the thermal lens effect to modulate the phase of the illumination beam. We corroborate the basic performance of our cryptosystem by performing the encryption-decryption procedure of a single object. Then, we test the tolerance of the proposed scheme to decrypt decryption with keys registered for different modulations of the illumination beam induced by the phase generated due to thermal lens effect. These different phase modulations are obtained by introducing axial displacements of a sample, where the thermal lens effect is induced by an excitation beam. Considering the phase modulation changes in the illumination due to sample displacements, we propose an undercover procedure to further protect the target information using decoy data. The key associated with the target information is obtained when the probe and excitation beams are focused on the same point of the sample, while the decoy object key is registered when the beams are not focused on the same region of the sample. Finally, we analyzed the resistance of the undercover ciphertext to some of the attacks reported in the literature. All experimental results presented in this work demonstrate the basic capabilities, viability, and versatility of our proposals.

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“…Use the conjugate of the encrypted image or the conjugate of the RPM to decrypt and return to tracing the optical path. In addition, DRPE -based coding methods are prolonged from Fourier transform (FT) to many other domains, such as fractional Fourier transform [7][8][9][10][11][12], Fresnel transform [13,14], Fresnel wavelet transform [15], fractional Mellin transform [16][17][18][19], gyrator transform (GT) [20][21][22][23][24][25], gyrator wavelet transform (GWT) [26,27], ghost Holography [28], etc.…”

Section: Introductionmentioning

confidence: 99%

A Secure Asymmetric Optical Image Encryption Based on Phase Truncation and Singular Value Decomposition in Linear Canonical Transform Domain

Sangwan

Singh

2021

International Journal of Optics

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A new asymmetric optical double image encryption algorithm is proposed, which combines phase truncation and singular value decomposition. The plain text is encrypted with two-stage phase keys to obtain a uniformly distributed cipher text and two new decryption keys. These keys are generated during the encryption process and are different from encryption keys. It realizes asymmetric encryption and improves the security of the system. The unscrambling keys in the encryption operation are mainly related to plain text. At the same time, the system is more resistant to selective plain text attacks; it also improves the sensitivity of decryption keys. With the application of phase truncation, the key space expanded and the security of the cryptographic system is enhanced. The efficacy of the system is calculated by evaluating the estimated error between the input and retrieved images. The proposed technique provides innumerable security keys and is robust against various potential attacks. Numerical simulations verify the effectiveness and security of the proposed technique.

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Gyrator wavelet transform

Cited by 15 publications

References 29 publications

[Retracted] Exploring Wavelet Transform‐Based Image Enhancement Algorithm for Image Restoration of Long March National Cultural Park

[Retracted] Exploring Wavelet Transform‐Based Image Enhancement Algorithm for Image Restoration of Long March National Cultural Park

Optical encryption using phase modulation generated by thermal lens effect

A Secure Asymmetric Optical Image Encryption Based on Phase Truncation and Singular Value Decomposition in Linear Canonical Transform Domain

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