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Most fractal coding schemes employ an iterative decoding algorithm in order to reconstruct the approximation of the original signal from the fractal code. A necessary condition for obtaining a unique solution is the convergence of the reconstruction process. This paper reports on investigations concerning a necessary and sufficient condition for convergence… (More)

Voronoi cells for vector quantization subject to an entropy constraint are considered. It is shown that the constraint on the output entropy leads to a weaker and even vanishing dependency of the Voronoi cell's volume on the probability density function. Using some simplifying assumptions like linearization of a small part of the –dimensional input space… (More)

Two methods to overcome the problems with large vector quantization (VQ) codebooks are lattice VQ (L V Q) and product codes. The approach described in this paper takes advantage of both methods by applying residual VQ with LVQ at all stages. Using LVQ in conjunction with entropy coding is strongly motivated by the fact that entropy constrained but… (More)

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