PMID: 15376585Sep 21, 2004Paper

Optimal context quantization in lossless compression of image data sequences

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Søren ForchhammerJakob Dahl Andersen

Abstract

In image compression context-based entropy coding is commonly used. A critical issue to the performance of context-based image coding is how to resolve the conflict of a desire for large templates to model high-order statistic dependency of the pixels and the problem of context dilution due to insufficient sample statistics of a given input image. We consider the problem of finding the optimal quantizer Q that quantizes the K-dimensional causal context Ct = (Xt-t1,Xt-t2,...,X t-tK) of a source symbol Xt into one of a set of conditioning states. The optimality of context quantization is defined to be the minimum static or minimum adaptive code length of given a data set. For a binary source alphabet an optimal context quantizer can be computed exactly by a fast dynamic programming algorithm. Faster approximation solutions are also proposed. In case of m-ary source alphabet a random variable can be decomposed into a sequence of binary decisions, each of which is coded using optimal context quantization designed for the corresponding binary random variable. This optimized coding scheme is applied to digital maps and alpha-plane sequences. The proposed optimal context quantization technique can also be used to establish a lower bou...Continue Reading

References

Feb 6, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Søren Forchhammer, Ole Riis Jensen
Feb 12, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·D Taubman
Feb 13, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·X WuW H Wong
Feb 16, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·B Martins, S Forchhammer
Jan 1, 1997·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·X Wu

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Citations

Jan 27, 2006·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Mantao XuPasi Fränti
May 17, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Yong Zhang, Donald A Adjeroh

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