The rate-distortion region for multiple descriptions without excess rate
IEEE Transactions on Information Theory
New results in binary multiple descriptions
IEEE Transactions on Information Theory
Fixed-rate successively refinable scalar quantizers
DCC '96 Proceedings of the Conference on Data Compression
Algorithms for optimal multi-resolution quantization
Journal of Algorithms
Achieving the rate-distortion bound with low-density generator matrix codes
IEEE Transactions on Communications
Design of successively refinable trellis-coded quantizers
IEEE Transactions on Information Theory
Multiple description coding with many channels
IEEE Transactions on Information Theory
Multiresolution vector quantization
IEEE Transactions on Information Theory
High performance scalable image compression with EBCOT
IEEE Transactions on Image Processing
A new, fast, and efficient image codec based on set partitioning in hierarchical trees
IEEE Transactions on Circuits and Systems for Video Technology
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In multiresolution coding a source sequence is encoded into a base layer and a refinement layer. The refinement layer, constructed using a conditional codebook, is in general not decodable without the correct reception of the base layer. By relating multiresolution coding with multiple description coding, we show that it is in fact possible to construct multiresolution codes in certain ways so that the refinement layer alone can be used to reconstruct the source to achieve a nontrivial distortion. As a consequence, one can improve the robustness of the existing multiresolution coding schemes without sacrificing the efficiency. Specifically, we obtain an explicit expression of the minimum distortion achievable by the refinement layer for arbitrary finite alphabet sources with Hamming distortion measure. Experimental results show that the information-theoretic limits can be approached using a practical robust multiresolution coding scheme based on low-density generator matrix codes.