Current Optics and Photonics

Optical Society of Korea (한국광학회)
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Joint-transform Correlator Multiple-image Encryption System Based on Quick-response Code Key

  • Chen, Qi (Department of Opto-electronics Engineering, Army Engineering University) ;
  • Shen, Xueju (Department of Opto-electronics Engineering, Army Engineering University) ;
  • Cheng, Yue (Department of Missile Engineering, Army Engineering University) ;
  • Huang, Fuyu (Department of Opto-electronics Engineering, Army Engineering University) ;
  • Lin, Chao (Control Engineering Department, Yantai Aeronautical University) ;
  • Liu, HeXiong (Department of Opto-electronics Engineering, Army Engineering University)
  • Received : 2019.04.15
  • Accepted : 2019.06.22
  • Published : 2019.08.25
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Abstract

A method for joint-transform correlator (JTC) multiple-image encryption based on a quick-response (QR) code key is proposed. The QR codes converted from different texts are used as key masks to encrypt and decrypt multiple images. Not only can Chinese text and English text be used as key text, but also symbols can be used. With this method, users have no need to transmit the whole key mask; they only need to transmit the text that is used to generate the key. The correlation coefficient is introduced to evaluate the decryption performance of our proposed cryptosystem, and we explore the sensitivity of the key mask and the capability for multiple-image encryption. Robustness analysis is also conducted in this paper. Computer simulations and experimental results verify the correctness of this method.

Keywords

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FIG. 1. QR codes with different levels of error correction, generated from the same text “optical image encryption method”: (a) L level, (b) M level, (c) Q level, (d) H level.

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FIG. 2. Schematic diagram of the JTC cryptosystem: (a) encryption scheme, (b) decryption scheme.

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FIG. 3. Flow diagram of the method.

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FIG. 4. Input images and QR code key masks for the simulation.

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FIG. 5. Decrypted results using different keytexts: (a) “Shijiazhuang Engineering College”, (b) “Yantai Aeronautical University”, (c) “Hangzhou Electronic School”, (d) “Control Engineering Department”.

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FIG. 6. (a) The ciphertext with 10% occludedarea. (b)-(d) Decrypeted images of the letters A, B, and C, corresponding to the ciphertext with 10% occlusion. (e) The ciphertext with 25% occludedarea (f)-(h) Decrypeted images of the letters A, B, and C, corresponding to the the ciphertext with 25% occlusion. (i) The ciphertext with 50% occludedarea. (j)-(l) Decrypeted images of the letters A, B, and C, corresponding to the the ciphertext with 50% occlusion.

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FIG. 7. CC versus percent occluded area of the ciphertext.

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FIG. 8. CC value versus areaof the ciphertextcovered by salt-and-pepper noise.

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FIG. 9. Decrypted results using keys with different levels of error correction: (a) L level, (b) M level, (c) Q level, (d) H level.

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FIG. 10. Decrypted results using the wrong key, when the key text is (a) “aptical image encryption method”, (b) “aatical image encryption method”, (c) “aaaical image encryption method”, and (d) “aaaacal image encryption method”.

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FIG. 11. (a) The QR code key generated from the Chinese text “光学图像加密方法”. (b) The QR code key generated from the Chinese text “咣学图像加密方法”. (c) Decrypted result using the key mask generated from the second text “咣学图像加密方法”.

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FIG. 12. Images and QR code key masks on the input plane.

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FIG. 13. Decrypted images using keysconsisting of (a) 12, (b) 13, (c) 14, and (d) 15 “space” symbols.

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FIG. 14. Experimental system: (1) He-Ne laser, (2,12) Attenuators, (3) Filter, (4) Collimating mirror, (5) Rightangle prism, (6) Aperture, (7) SLM, (8,10,13) Beam-splitting prisms, (9) Fourier lens, (11) CCD.

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FIG. 15. Complex ciphertext after denoising.

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FIG. 16. Decrypted results from the experiment, with the QR code masksgenerated from the texts (a) “Shijiazhuang Engineering College”, (b) “Yantai Aeronautical University”, and (c) “Hangzhou Electronic School”.

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