Introduction to algorithms
Fixed-rate successively refinable scalar quantizers
DCC '96 Proceedings of the Conference on Data Compression
Entropy-Constrained Successively Refinable Scaler Quantization
DCC '97 Proceedings of the Conference on Data Compression
Practical Multi-Resolution Source Coding: TSVQ
DCC '98 Proceedings of the Conference on Data Compression
Quantization as Histogram Segmentation: Globally Optimal Scalar Quantizer Design in Network Systems
DCC '02 Proceedings of the Data Compression Conference
On Optimal Multi-resolution Scalar Quantization
DCC '02 Proceedings of the Data Compression Conference
Codecell Contiguity in Optimal Fixed-Rate and Entropy-Constrained Network Scalar Quantizers
DCC '02 Proceedings of the Data Compression Conference
Algorithms for optimal multi-resolution quantization
Journal of Algorithms
L∞ constrained high-fidelity image compression via adaptive context modeling
IEEE Transactions on Image Processing
Hi-index | 754.84 |
We investigate the max-norm (L∞) properties of multiresolution scalar quantizers (MRSQ). The multiresolution requirement imposes nontrivial constraints on the maximum distortion at each level of the quantizer. To quantify these constraints, we define the overall multiresolution L∞ distortion of an MRSQ to be a weighted sum of L∞ distortions over all refinement levels of the MRSQ. We then seek MRSQ constructions that minimize this average-max distortion measure. An interesting relationship between this problem and the structure of Huffman code trees is established. Lower bounds for the average-max distortion are derived based on this relationship. The derivation of these lower bounds also lead to efficient dynamic programming heuristic solutions.