Application of compressed sensing for secure image coding

  • Authors:
  • Gesen Zhang;Shuhong Jiao;Xiaoli Xu

  • Affiliations:
  • Information and Communication Engineering College, Harbin Engineering University, Harbin, China;Information and Communication Engineering College, Harbin Engineering University, Harbin, China;Information and Communication Engineering College, Harbin Engineering University, Harbin, China

  • Venue:
  • WASA'10 Proceedings of the 5th international conference on Wireless algorithms, systems, and applications
  • Year:
  • 2010

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Abstract

The secure image coding scheme using compressed sensing (CS) is proposed and the secrecy of the scheme is explored. We verify that the CS-based coding scheme can provide a guarantee of secrecy by analysis and simulation. In our approach, random matrices are used as keys of decryption. Based on the feasibility of random symmetric signs matrices in compressed sensing, we obtain a theoretical result that the signal compressed sensing using sparse random binary matrices can be exactly recovered with high probability. Numerical results verify the theory and show matrices proposed in this paper perform equally to the prominent Gaussian matrices when measurement rate is higher than an equivalence threshold.