Compression of 3D Optical Encryption Using Singular Value Decomposition

In this paper, we propose a compressionmethod for optical encryption using singular value decomposition (SVD). Double random phase encryption (DRPE), which employs two distinct random phase masks, is adopted as the optical encryption technique. Since the encrypted data in DRPE have the same size as...

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Main Authors: Kyungtae Park, Min-Chul Lee, Myungjin Cho
Format: Article
Language:English
Published: MDPI AG 2025-08-01
Series:Sensors
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Online Access:https://www.mdpi.com/1424-8220/25/15/4742
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author Kyungtae Park
Min-Chul Lee
Myungjin Cho
author_facet Kyungtae Park
Min-Chul Lee
Myungjin Cho
author_sort Kyungtae Park
collection DOAJ
description In this paper, we propose a compressionmethod for optical encryption using singular value decomposition (SVD). Double random phase encryption (DRPE), which employs two distinct random phase masks, is adopted as the optical encryption technique. Since the encrypted data in DRPE have the same size as the input data and consists of complex values, a compression technique is required to improve data efficiency. To address this issue, we introduce SVD as a compression method. SVD decomposes any matrix into simpler components, such as a unitary matrix, a rectangular diagonal matrix, and a complex unitary matrix. By leveraging this property, the encrypted data generated by DRPE can be effectively compressed. However, this compression may lead to some loss of information in the decrypted data. To mitigate this loss, we employ volumetric computational reconstruction based on integral imaging. As a result, the proposed method enhances the visual quality, compression ratio, and security of DRPE simultaneously. To validate the effectiveness of the proposed method, we conduct both computer simulations and optical experiments. The performance is evaluated quantitatively using peak signal-to-noise ratio (PSNR), structural similarity index (SSIM), and peak sidelobe ratio (PSR) as evaluation metrics.
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spelling doaj-art-069f3a276401448ca45620ad8a74a8e22025-08-20T03:02:51ZengMDPI AGSensors1424-82202025-08-012515474210.3390/s25154742Compression of 3D Optical Encryption Using Singular Value DecompositionKyungtae Park0Min-Chul Lee1Myungjin Cho2School of ICT, Robotics, and Mechanical Engineering, IITC, Hankyong National University, 327 Chungang-ro, Anseong 17579, Republic of KoreaGraduate School of Computer Science and Systems Engineering, Kyushu Institute of Technology, 680-4 Kawazu, Iizuka-shi 820-8502, Fukuoka, JapanSchool of ICT, Robotics, and Mechanical Engineering, IITC, Hankyong National University, 327 Chungang-ro, Anseong 17579, Republic of KoreaIn this paper, we propose a compressionmethod for optical encryption using singular value decomposition (SVD). Double random phase encryption (DRPE), which employs two distinct random phase masks, is adopted as the optical encryption technique. Since the encrypted data in DRPE have the same size as the input data and consists of complex values, a compression technique is required to improve data efficiency. To address this issue, we introduce SVD as a compression method. SVD decomposes any matrix into simpler components, such as a unitary matrix, a rectangular diagonal matrix, and a complex unitary matrix. By leveraging this property, the encrypted data generated by DRPE can be effectively compressed. However, this compression may lead to some loss of information in the decrypted data. To mitigate this loss, we employ volumetric computational reconstruction based on integral imaging. As a result, the proposed method enhances the visual quality, compression ratio, and security of DRPE simultaneously. To validate the effectiveness of the proposed method, we conduct both computer simulations and optical experiments. The performance is evaluated quantitatively using peak signal-to-noise ratio (PSNR), structural similarity index (SSIM), and peak sidelobe ratio (PSR) as evaluation metrics.https://www.mdpi.com/1424-8220/25/15/4742compressiondouble random phase encryptionsingular value decompositionvolumetric computational reconstruction
spellingShingle Kyungtae Park
Min-Chul Lee
Myungjin Cho
Compression of 3D Optical Encryption Using Singular Value Decomposition
Sensors
compression
double random phase encryption
singular value decomposition
volumetric computational reconstruction
title Compression of 3D Optical Encryption Using Singular Value Decomposition
title_full Compression of 3D Optical Encryption Using Singular Value Decomposition
title_fullStr Compression of 3D Optical Encryption Using Singular Value Decomposition
title_full_unstemmed Compression of 3D Optical Encryption Using Singular Value Decomposition
title_short Compression of 3D Optical Encryption Using Singular Value Decomposition
title_sort compression of 3d optical encryption using singular value decomposition
topic compression
double random phase encryption
singular value decomposition
volumetric computational reconstruction
url https://www.mdpi.com/1424-8220/25/15/4742
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AT minchullee compressionof3dopticalencryptionusingsingularvaluedecomposition
AT myungjincho compressionof3dopticalencryptionusingsingularvaluedecomposition