Asymmetric Image Encryption and Authentication Based on Equal Modulus Decomposition in the Fresnel Transform Domain

A novel asymmetric image encryption and authentication scheme based on equal modulus decomposition (EMD) in the Fresnel transform domain is proposed. First, the Fresnel spectrum of the plaintext is sparsely sampled. Then a sparse presentation of the Fresnel spectrum is divided into two complex-value...

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Main Authors: Guangyu Luan, Aichuan Li, Dongmei Zhang, Dongxin Wang
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Photonics Journal
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8572731/
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author Guangyu Luan
Aichuan Li
Dongmei Zhang
Dongxin Wang
author_facet Guangyu Luan
Aichuan Li
Dongmei Zhang
Dongxin Wang
author_sort Guangyu Luan
collection DOAJ
description A novel asymmetric image encryption and authentication scheme based on equal modulus decomposition (EMD) in the Fresnel transform domain is proposed. First, the Fresnel spectrum of the plaintext is sparsely sampled. Then a sparse presentation of the Fresnel spectrum is divided into two complex-valued masks with equal modulus based on EMD, both of which are necessary for decryption and authentication. The decrypted image renders little information on the original image visually. Furthermore, a nonlinear correlation is used to authenticate the decrypted image with the plaintext. In the scheme proposed here, the illuminating wavelength and the diffraction distance strengthen the security of the proposed scheme significantly, and the two complex-valued masks are both essential for decryption and authentication. The percentage of extracted pixels does not have to be determined deliberately. The feasibility and validity of the scheme have been proved by numerical simulations.
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institution Kabale University
issn 1943-0655
language English
publishDate 2019-01-01
publisher IEEE
record_format Article
series IEEE Photonics Journal
spelling doaj-art-9803c8f6abea4606a29ff6c5ec18b76b2025-08-20T03:32:46ZengIEEEIEEE Photonics Journal1943-06552019-01-011111710.1109/JPHOT.2018.28862958572731Asymmetric Image Encryption and Authentication Based on Equal Modulus Decomposition in the Fresnel Transform DomainGuangyu Luan0https://orcid.org/0000-0002-9628-6319Aichuan Li1Dongmei Zhang2Dongxin Wang3College of Electrical and Information, Heilongjiang Bayi Agricultural University, Daqing, ChinaCollege of Electrical and Information, Heilongjiang Bayi Agricultural University, Daqing, ChinaCollege of Electrical and Information, Heilongjiang Bayi Agricultural University, Daqing, ChinaCollege of Electrical and Information, Heilongjiang Bayi Agricultural University, Daqing, ChinaA novel asymmetric image encryption and authentication scheme based on equal modulus decomposition (EMD) in the Fresnel transform domain is proposed. First, the Fresnel spectrum of the plaintext is sparsely sampled. Then a sparse presentation of the Fresnel spectrum is divided into two complex-valued masks with equal modulus based on EMD, both of which are necessary for decryption and authentication. The decrypted image renders little information on the original image visually. Furthermore, a nonlinear correlation is used to authenticate the decrypted image with the plaintext. In the scheme proposed here, the illuminating wavelength and the diffraction distance strengthen the security of the proposed scheme significantly, and the two complex-valued masks are both essential for decryption and authentication. The percentage of extracted pixels does not have to be determined deliberately. The feasibility and validity of the scheme have been proved by numerical simulations.https://ieeexplore.ieee.org/document/8572731/Asymmetric image encryptionimage authenticationequal modulus decompositionFresnel transform.
spellingShingle Guangyu Luan
Aichuan Li
Dongmei Zhang
Dongxin Wang
Asymmetric Image Encryption and Authentication Based on Equal Modulus Decomposition in the Fresnel Transform Domain
IEEE Photonics Journal
Asymmetric image encryption
image authentication
equal modulus decomposition
Fresnel transform.
title Asymmetric Image Encryption and Authentication Based on Equal Modulus Decomposition in the Fresnel Transform Domain
title_full Asymmetric Image Encryption and Authentication Based on Equal Modulus Decomposition in the Fresnel Transform Domain
title_fullStr Asymmetric Image Encryption and Authentication Based on Equal Modulus Decomposition in the Fresnel Transform Domain
title_full_unstemmed Asymmetric Image Encryption and Authentication Based on Equal Modulus Decomposition in the Fresnel Transform Domain
title_short Asymmetric Image Encryption and Authentication Based on Equal Modulus Decomposition in the Fresnel Transform Domain
title_sort asymmetric image encryption and authentication based on equal modulus decomposition in the fresnel transform domain
topic Asymmetric image encryption
image authentication
equal modulus decomposition
Fresnel transform.
url https://ieeexplore.ieee.org/document/8572731/
work_keys_str_mv AT guangyuluan asymmetricimageencryptionandauthenticationbasedonequalmodulusdecompositioninthefresneltransformdomain
AT aichuanli asymmetricimageencryptionandauthenticationbasedonequalmodulusdecompositioninthefresneltransformdomain
AT dongmeizhang asymmetricimageencryptionandauthenticationbasedonequalmodulusdecompositioninthefresneltransformdomain
AT dongxinwang asymmetricimageencryptionandauthenticationbasedonequalmodulusdecompositioninthefresneltransformdomain