Abstract
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.
Highlights
With the rapid development of computer and communication networks, Internet has been established worldwide that brings numerous applications such as commercial services, telemedicine, and military document transmissions
The small shadow sizes produced by the proposed method are shown in Figure 5(a) in comparison to those obtained by Thien and Lin’s (TL’s) method [2], Chen and Lin’s (CL’s) method [4] and Wang and Su’s (WS’s) method [5], respectively
The results indicate that our method encoded with Huffman coding (WHu) has slightly smaller shadow images than those of WS’s method, and the proposed method encoded with arithmetic coding (WAr) has significantly smaller shadow images than those of WS’s method
Summary
A new image sharing method, based on the reversible integer-to-integer (ITI) wavelet transform and Shamir’s (r, m) threshold scheme is presented, that provides highly compact shadows for real-time progressive transmission. 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
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