- Research Article
- Open Access
A Secret Image Sharing Method Using Integer Wavelet Transform
EURASIP Journal on Advances in Signal Processingvolume 2007, Article number: 063281 (2007)
A new image sharing method, based on the reversible integer-to-integer (ITI) wavelet transform and Shamir's threshold scheme is presented, that provides highly compact shadows for real-time progressive transmission. This method, working in the wavelet domain, processes the transform coefficients in each subband, divides each of the resulting combination coefficients into shadows, and allows recovery of the complete secret image by using any or more shadows . We take advantages of properties of the wavelet transform multiresolution representation, such as coefficient magnitude decay and excellent energy compaction, to design combination procedures for the transform coefficients and processing sequences in wavelet subbands such that small shadows for real-time progressive transmission are obtained. Experimental results demonstrate that the proposed method yields small shadow images and has the capabilities of real-time progressive transmission and perfect reconstruction of secret images.
Shamir A: How to share a secret. Communications of the ACM 1979,22(11):612-613. 10.1145/359168.359176
Thien C-C, Lin J-C: Secret image sharing. Computers and Graphics 2002,26(5):765-770. 10.1016/S0097-8493(02)00131-0
Blakley GR: Safeguarding cryptographic keys. Proceedings of AFIPS National Computer Conference, June 1979, New York, NY, USA 48: 313–317.
Chen S-K, Lin J-C: Fault-tolerant and progressive transmission of images. Pattern Recognition 2005,38(12):2466-2471. 10.1016/j.patcog.2005.04.002
Wang R-Z, Su C-H: Secret image sharing with smaller shadow images. Pattern Recognition Letters 2006,27(6):551-555. 10.1016/j.patrec.2005.09.021
Kim H, Li CC: Lossless and lossy image compression using biorthogonal wavelet transforms with multiplierless operations. IEEE Transactions on Circuits and Systems II 1998,45(8):1113-1118. 10.1109/82.718821
Zandi A, Allen J, Schwartz E, Boliek M: CREW: compression with reversible embedded wavelets. Proceedings of the 5th Data Compression Conference, March 1995, Snowbird, Utah, USA 212–221.
Calderbank AR, Daubechies I, Sweldens W, Yeo B-L: Wavelet transforms that map integers to integers. Applied and Computational Harmonic Analysis 1998,5(3):332-369. 10.1006/acha.1997.0238
Adams MD, Ward RK: Symmetric-extension-compatible reversible integer-to-integer wavelet transforms. IEEE Transactions on Signal Processing 2003,51(10):2624-2636. 10.1109/TSP.2003.816886
Said A, Pearlman WA: A new, fast, and efficient image codec based on set partitioning in hierarchical trees. IEEE Transactions on Circuits and Systems for Video Technology 1996,6(3):243-250. 10.1109/76.499834
Vaishampayan VA: Design of multiple description scalar quantizers. IEEE Transactions on Information Theory 1993,39(3):821-834. 10.1109/18.256491
Wang Y, Reibman AR, Lin S: Multiple description coding for video delivery. Proceedings of the IEEE 2005,93(1):57-70.
Sayood K: Introduction to Data Compression. 2nd edition. Morgan Kaufmann, San Francisco, Calif, USA; 2000.
Proakis JG, Salehi M: Communication Systems Engineering. 2nd edition. Prentice-Hall, Englewood Cliffs, NJ, USA; 2001.
Sherwood PG, Zeger K: Progressive image coding for noisy channels. IEEE Signal Processing Letters 1997,4(7):189-191. 10.1109/97.596882
Chande V, Farvardin N: Progressive transmission of images over memoryless noisy channels. IEEE Journal on Selected Areas in Communications 2000,18(6):850-860. 10.1109/49.848239
Boulgouris NV, Thomos N, Strintzis MG: Transmission of images over noisy channels using error-resilient wavelet coding and forward error correction. IEEE Transactions on Circuits and Systems for Video Technology 2003,13(12):1170-1181. 10.1109/TCSVT.2003.819187
The Library of Congress website https://doi.org/memory.loc.gov/ammem/gmdhtml/milhome.html