The practice of concealing secret messages into index-based images has generally suffered from problems of image quality degradation and hiding capacity restriction. A steganographic scheme using an improved codebook partition is proposed in this paper. The proposed scheme partitions the codebook into different member sub-clusters in terms of their similarity between the codewords for increasing the hiding capacity and reducing the image distortion. Any size of a sub-cluster was allowed in the proposed scheme, so as to improve the traditional approaches in which the size of a sub-cluster was restricted to the power of two. As a result of this revised scheme, an increased hiding capacity and a reduction in image distortion are obtained, as indicated from experimental results. The average performance of the proposed scheme is superior to that of those standard methods.
The ubiquitiformal fracture energy is proposed in the paper and its explicit expression is obtained. Moreover, the numerical results for concrete are found to be in good agreement with those for the critical strain energy release rate. The discrepancy between the numerical results of the traditional fracture energy and the critical strain energy release rate can be explained reasonably, which implies that the ubiquitiformal fracture energy should be taken as an available fracture parameter of materials. Finally, it is numerically found for some concrete that there is not size effect for the ubiquitiformal fracture energy.
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