| Preface | ix |
| Chapter 1 | Rationality in Progressive Transmission | 1 |
| 1.1 | Introduction | 1 |
| 1.2 | Basic elements of the selection problem | 4 |
| 1.3 | Basic axioms for avoiding forms of behavioral inconsistency | 5 |
| 1.4 | Progressive transmission utility functions | 8 |
| 1.4.1 | Rate control procedure | 13 |
| Chapter 2 | Coder Evaluation Procedure | 15 |
| 2.1 | Introduction | 15 |
| 2.2 | Compound gain: A computational tool for predicting visual distinctness | 17 |
| 2.3 | Comparison between PSNR and CG | 19 |
| 2.3.1 | Images | 20 |
| 2.3.2 | Psychophysical target distinctness | 22 |
| 2.3.3 | Evaluation function | 24 |
| 2.3.4 | Experiment 1 | 25 |
| 2.3.5 | Experiment 2 | 26 |
| 2.3.6 | Statistical accuracy | 26 |
| 2.4 | Objective coder selection procedure | 28 |
| 2.4.1 | An example | 29 |
| 2.5 | Assessment of risk attitudes in rational transmission | 31 |
| 2.5.1 | Objective evaluation | 37 |
| 2.5.2 | Subjective evaluation | 37 |
| Chapter 3 | Visual Distinctness of Prioritized Data | 41 |
| 3.1 | Introduction | 41 |
| 3.2 | Prioritization by distortion measures and by human observers | 44 |
| 3.2.1 | Distortion measures for prioritization protocols | 44 |
| 3.2.2 | Psychophysical experiments | 47 |
| 3.3 | Results and discussion | 49 |
| 3.3.1 | Experiment 1 | 49 |
| 3.3.2 | Experiment 2 | 51 |
| 3.3.3 | Experiment 3 | 52 |
| 3.3.4 | Experiment 4 | 54 |
| Chapter 4 | Integration of Rationality and Cooperation | 61 |
| 4.1 | Introduction | 61 |
| 4.2 | Cooperative decision for bit allocation | 62 |
| 4.3 | Self-control of risk aversion attitude in progressive transmission | 63 |
| 4.4 | Integration of rationality/cooperation in unsteady-state transmission | 65 |
| 4.4.1 | Self-rewarding risk attitude | 67 |
| 4.4.2 | Self-rewarding attitude integrates cooperative action with rationality | 68 |
| 4.5 | Experimental results | 70 |
| 4.5.1 | Subjective coder evaluation | 70 |
| 4.5.2 | Objective coder evaluation | 72 |
| Chapter 5 | Conflict and Cooperation at Very Low Bit Rates | 81 |
| 5.1 | Introduction | 81 |
| 5.2 | Acceleration of benefit gain by increasing risk attitude tolerance | 82 |
| 5.3 | A coalitional game for controlling a quantizer's risk tolerance | 84 |
| 5.4 | A family of solutions for the coalitional game | 86 |
| 5.5 | Assessment of weight functions | 88 |
| 5.6 | Experimental results | 91 |
| 5.6.1 | Subjective coder evaluation | 91 |
| 5.6.2 | Objective coder evaluation | 96 |
| 5.7 | The self-rewarding solution and the dissatisfaction solution | 99 |
| 5.7.1 | Basic properties of the dissatisfaction solution | 99 |
| 5.7.2 | Relationship between the self-rewarding solution and the dissatisfaction solution | 100 |
| Chapter 6 | Justice in Rational Transmission | 105 |
| 6.1 | Introduction | 105 |
| 6.2 | Just quantizer formation | 110 |
| 6.3 | A priori importance of an SOT | 112 |
| 6.3.1 | SOT-restricted games: Cooperation and communication among wavelet coefficients | 113 |
| 6.3.2 | Zerotree solution for SOT-restricted games | 114 |
| 6.4 | Experimental results | 117 |
| 6.4.1 | Subjective coder evaluation | 117 |
| 6.4.2 | Objective coder evaluation | 122 |
| 6.5 | Just transmission | 125 |
| Epilogue: Rationality, Cooperation, and Justice | 129 |
| Appendix A | Fundamentals in Embedded Zerotree Wavelet Coding | 143 |
| A.1 | Introduction | 143 |
| A.2 | Progressive transmission | 144 |
| A.3 | Wavelet transform; decomposition into subbands | 146 |
| A.4 | Compression algorithm based on "zerotrees" | 151 |
| A.4.1 | SPIHT | 153 |
| Appendix B | REWIC Algorithm | 163 |
| B.1 | Algorithms for encoding/decoding an image in REWIC format | 163 |
| B.2 | Algorithms for encoding/decoding an image in RECON format | 168 |
| Appendix C | Information Theoretic Measure | 173 |
| C.1 | Introduction | 173 |
| C.2 | Information conservation constraint | 178 |
| C.2.1 | Selective information gain | 180 |
| C.2.2 | Properties of the selective information gain | 180 |
| C.3 | Significance conservation constraint | 183 |
| C.3.1 | Compound information gain | 183 |
| C.3.2 | Properties of the CG | 185 |
| Appendix D | Best Achievable Compression Ratio | 189 |
| D.1 | Introduction | 189 |
| D.2 | The best achievable compression ratio | 190 |
| D.3 | Effects of lossy compression at the best achievable compression ratio | 193 |
| D.3.1 | Results | 195 |
| Bibliography | 199 |
| Index | 209 |
