Multiple-image encryption by two-step phase-shifting interferometry and spatial multiplexing of smooth compressed signal

doi:10.1088/1674-1056/27/7/074205

中国物理B ›› 2018, Vol. 27 ›› Issue (7): 74205-074205.doi: 10.1088/1674-1056/27/7/074205

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Multiple-image encryption by two-step phase-shifting interferometry and spatial multiplexing of smooth compressed signal

Xue Zhang(张学), Xiangfeng Meng(孟祥锋), Yurong Wang(王玉荣), Xiulun Yang(杨修伦), Yongkai Yin(殷永凯)

Department of Optics, School of Information Science and Engineering, and Shandong Provincial Key Laboratory of Laser Technology and Application, Shandong University, Jinan 250100, China

收稿日期:2017-12-12 修回日期:2018-03-05 出版日期:2018-07-05 发布日期:2018-07-05
通讯作者: Xiangfeng Meng E-mail:xfmeng@sdu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61775121, 61307003, 61405122, and 11574311), Key R&D Program of Shandong Province, China (Grant No. 2018GGX101002), the Natural Science Foundation of Shandong Province, China (Grant No. R2016FM03), and the Fundamental Research Funds of Shandong University, China (Grant No. 2015GN031).

Multiple-image encryption by two-step phase-shifting interferometry and spatial multiplexing of smooth compressed signal

Xue Zhang(张学), Xiangfeng Meng(孟祥锋), Yurong Wang(王玉荣), Xiulun Yang(杨修伦), Yongkai Yin(殷永凯)

Department of Optics, School of Information Science and Engineering, and Shandong Provincial Key Laboratory of Laser Technology and Application, Shandong University, Jinan 250100, China

Received:2017-12-12 Revised:2018-03-05 Online:2018-07-05 Published:2018-07-05
Contact: Xiangfeng Meng E-mail:xfmeng@sdu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61775121, 61307003, 61405122, and 11574311), Key R&D Program of Shandong Province, China (Grant No. 2018GGX101002), the Natural Science Foundation of Shandong Province, China (Grant No. R2016FM03), and the Fundamental Research Funds of Shandong University, China (Grant No. 2015GN031).

摘要/Abstract

摘要： A multiple-image encryption method based on two-step phase-shifting interferometry (PSI) and spatial multiplexing of a smooth compressed signal is proposed. In the encoding and encryption process, with the help of four index matrices to store original pixel positions, all the pixels of four secret images are firstly reordered in an ascending order; then, the four reordered images are transformed by five-order Haar wavelet transform and performed sparseness operation. After Arnold transform and pixels sampling operation, one combined image can be grouped with the aid of compressive sensing (CS) and spatial multiplexing techniques. Finally, putting the combined image at the input plane of the PSI encryption scheme, only two interferograms ciphertexts can be obtained. During the decoding and decryption, utilizing all the secret key groups and index matrices keys, all the original secret images can be successfully decrypted by a wave-front retrieval algorithm of two-step PSI, spatial de-multiplexing, inverse Arnold transform, inverse discrete wavelet transform, and pixels reordering operation.

关键词: compressive sensing, two-step phase-shifting interferometry, image encryption

Abstract: A multiple-image encryption method based on two-step phase-shifting interferometry (PSI) and spatial multiplexing of a smooth compressed signal is proposed. In the encoding and encryption process, with the help of four index matrices to store original pixel positions, all the pixels of four secret images are firstly reordered in an ascending order; then, the four reordered images are transformed by five-order Haar wavelet transform and performed sparseness operation. After Arnold transform and pixels sampling operation, one combined image can be grouped with the aid of compressive sensing (CS) and spatial multiplexing techniques. Finally, putting the combined image at the input plane of the PSI encryption scheme, only two interferograms ciphertexts can be obtained. During the decoding and decryption, utilizing all the secret key groups and index matrices keys, all the original secret images can be successfully decrypted by a wave-front retrieval algorithm of two-step PSI, spatial de-multiplexing, inverse Arnold transform, inverse discrete wavelet transform, and pixels reordering operation.

Key words: compressive sensing, two-step phase-shifting interferometry, image encryption

中图分类号: (Image reconstruction; tomography)

42.30.Wb

42.25.Hz (Interference) 42.40.Kw (Holographic interferometry; other holographic techniques) 07.60.Ly (Interferometers)

张学, 孟祥锋, 王玉荣, 杨修伦, 殷永凯. Multiple-image encryption by two-step phase-shifting interferometry and spatial multiplexing of smooth compressed signal[J]. 中国物理B, 2018, 27(7): 74205-074205.

Xue Zhang(张学), Xiangfeng Meng(孟祥锋), Yurong Wang(王玉荣), Xiulun Yang(杨修伦), Yongkai Yin(殷永凯). Multiple-image encryption by two-step phase-shifting interferometry and spatial multiplexing of smooth compressed signal[J]. Chin. Phys. B, 2018, 27(7): 74205-074205.

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Multiple-image encryption by two-step phase-shifting interferometry and spatial multiplexing of smooth compressed signal

Multiple-image encryption by two-step phase-shifting interferometry and spatial multiplexing of smooth compressed signal

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