Fundamental Data Compression,

Dedication

List of Figures

List of Algorithms

Preface

Acknowledgements

Chapter 1: Introduction

1.1 Data compression problems

1.2 Lossless and lossy compression

1.3 Deriving algorithmic solutions

1.4 Measure of compression quality

1.5 Limits on lossless compression

Summary

Learning outcomes

Exercises

Laboratory

Assessment

Chapter 2: Coding symbolic data

2.1 Information, data and codes

2.2 Symbolic data

2.3 Variable length codes

Chapter 3: Run-length algorithms

3.1 Run-length

3.2 Hardware data compression (HDC)

3.3 Algorithm Design

Summary

Learning outcomes

Exercises

Laboratory

Assessment

Chapter 4: Huffman coding

4.1 Static Huffman coding

4.2 Shannon-Fano approach

4.3 Optimal Huffman codes

4.4 Implementation efficiency

4.5 Extended Huffman coding

Summary

Learning outcomes

Exercises

Laboratory

Assessment

Chapter 5: Adaptive Huffman coding

5.1 Adaptive approach

5.2 Compressor

5.3 Decompressor

5.4 Disadvantages of Huffman algorithms

Summary

Learning outcomes

Exercises

Laboratory

Assessment

Chapter 6: Arithmetic coding

6.1 Probabilities and subintervals

6.2 Model and coders

6.3 Simple case

6.4 General case

Summary

Learning outcomes

Exercises

Laboratory

Assessment

Chapter 7: Dictionary-based compression

7.1 Patterns in a string

7.2 LZW coding

7.3 LZ77 family

7.4 LZ78 family

7.5 Applications

7.6 Comparison

Summary

Learning outcomes

Exercises

Laboratory

Assessment

Chapter 8: Prediction and transforms

8.1 Predictive approach

8.2 Move to Front coding

8.3 Burrows-Wheeler Transform (BWT)

8.4 Transform approach

8.5 Discrete Cosine Transform (DCT)

8.6 Subband coding

8.7 Wavelet transforms

Summary

Learning outcomes

Exercises

Laboratory

Assessment

Chapter 9: Audio compression

9.1 Modelling sound

9.2 Sampling

9.3 Quantisation

9.3.1 Scalar quantisation

9.4 Compression performance

9.5 Speech compression

9.6 Music compression

Summary

Learning outcomes

Exercises

Assessment

Chapter 10: Image compression

10.1 Image data

10.2 Bitmap images

10.3 Vector graphics

10.4 Bitmap and vector graphics

Rasterising

Vectorisation

10.5 Colour

10.6 Classifying images by colour

10.7 Classifying images by appearance

10.8 Image compression

Summary

Learning outcomes

Exercises

Laboratory

Assessment

Chapter 11: Video compression

11.1 Analogue video

11.2 Digital video

11.3 Moving pictures

11.4 MPEG

11.5 Basic principles

11.6 Temporal compression algorithms

11.7 Group of pictures

11.8 Motion estimation

11.9 Work in different video formats

Summary

Learning outcomes

Exercises

Assessment

Appendix A: Brief history

Appendix B: Matrices

Appendix C: Fourier series and harmonic analysis

Appendix D: Pseudocode notation

Appendix E: Notation

Index