A Secret Image Sharing Method Using Integer Wavelet Transform

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.

[1]  Ahmad Zandi,et al.  CREW: Compression with Reversible Embedded Wavelets , 1995, Proceedings DCC '95 Data Compression Conference.

[2]  Ran-Zan Wang,et al.  Secret image sharing with smaller shadow images , 2006, Pattern Recognit. Lett..

[3]  G. Blelloch.  Introduction to Data Compression * , 2022 .

[4]  G. R. Blakley,et al.  Safeguarding cryptographic keys , 1899, 1979 International Workshop on Managing Requirements Knowledge (MARK).

[5]  I. Daubechies,et al.  Wavelet Transforms That Map Integers to Integers , 1998 .

[6]  Nariman Farvardin,et al.  Progressive transmission of images over memoryless noisy channels , 2000, IEEE Journal on Selected Areas in Communications.

[7]  HyungJun Kim,et al.  Lossless and lossy image compression using biorthogonal wavelet transforms with multiplierless operations , 1998 .

[8]  Michael G. Strintzis,et al.  Transmission of images over noisy channels using error-resilient wavelet coding and forward error correction , 2003, IEEE Trans. Circuits Syst. Video Technol..

[9]  Vinay A. Vaishampayan,et al.  Design of multiple description scalar quantizers , 1993, IEEE Trans. Inf. Theory.

[10]  Rabab Kreidieh Ward,et al.  Symmetric-extension-compatible reversible integer-to-integer wavelet transforms , 2003, IEEE Trans. Signal Process..

[11]  Kenneth Zeger,et al.  Progressive image coding for noisy channels , 1997, IEEE Signal Processing Letters.

[12]  Yao Wang,et al.  Multiple Description Coding for Video Delivery , 2005, Proceedings of the IEEE.

[13]  William A. Pearlman,et al.  A new, fast, and efficient image codec based on set partitioning in hierarchical trees , 1996, IEEE Trans. Circuits Syst. Video Technol..

[14]  Masoud Salehi,et al.  Communication Systems Engineering , 1994 .

[15]  Adi Shamir,et al.  How to share a secret , 1979, CACM.

[16]  Ja-Chen Lin,et al.  Fault-tolerant and progressive transmission of images , 2005, Pattern Recognit..

[17]  Ja-Chen Lin,et al.  Secret image sharing , 2002, Comput. Graph..