CompSci 267: Data Compression -- Spring 2012

1. Introduction
   • terminology and applications
   • performance measures
   • information theory
   • types of codes -- time variance, I/O code rates, decodability
   • fixed finite codes -- enumerative coding, phasing in, multiple-length, start-step-stop
   • fixed infinite codes -- Elias, Even-Rodeh, Fibonacci, Golomb, Rice, variable-byte
2. Coding Techniques
   • variable-sized codes -- Kraft-MacMillan, universal compression
   • compact codes
   • Shannon theorem, Shannon coding
   • Shannon-Fano coding
   • Huffman coding
   • adaptive Huffman coding
   • length-limited Huffman coding
   • alternating runlength Huffman
   • modified Huffman coding
   • fast decoding of Huffman encodings
   • Tunstall codes
   • arithmetic coding
   • variable-cost alphabet
   • coding increasing integer sequences
3. Modeling
   • introduction and categorization
   • dictionary methods (defined-word schemes) -- MTF
   • dictionary methods (free-parse schemes) -- LZ, LZ-77/-78 families
   • context modeling -- PPMC, SCM, Symbol Ranking, BWT
4. Text Compression Systems
   • PC systems and performance
   • error control
   • CRC
5. Lossless Image Compression
   • run-length encoding -- BinHex, PDQ
   • bi-level images -- facsimile, quadtrees, Hilbert curve, JBIG, JBIG2
   • lossless grayscale -- cond'l RLE, MLP, progressive FELICS, JPEG-LS
   • lossless color -- PNG
6. Lossy Compression
   • distortion and perception measures
   • scalar quantization -- uniform, Lloyd-Max, Jayant
   • block truncation coding
   • vector quantization -- LBG, tree-structured, lattice, trellis
   • differential encoding -- DPCM, ADPCM, delta modulation
   • transform coding
   • wavelets
7. Lossy Image Compression
   • expressing color
   • JPEG -- DCT quantization and encoding, JPEG modes
   • MPEG video -- MPEG-1, MPEG-2
8. Audio Compression
   • audio quality, sampling
   • waveform codecs
   • companding -- mu-law, A-law
   • subband coding
   • subband masking
   • MPEG audio -- layers 1,2,3 and MDCT
   • speech