1 Introduction. - 1. 1 The Need for Data Compression. - 1. 2 Data Compression Techniques. - 1. 3 The Problemthe Tile Effect. - 1. 4 Our ApproachTwo Source Decomposition. - 1. 5 Organization. - 2 RBCThe Theory behind the Algorithms. - 2. 1 Introduction. - 2. 2 Modeling. - 2. 3 Autoregressive Models. - 2. 4 Noncausal Models. - 2. 5 Two Source Decomposition. - 2. 6 The 1d RBC Algorithm. - 2. 7 Boundary Response for First Order AR Models. - 2. 8 2d Minimum Variance Models. - 2. 9 Examples of 2d Noncausal Image Models. - 2. 10 2d Boundary Response via Transform Methods. - 2. 11 The 2d RBC Algorithm. - 2. 12 Approximate Boundary Response. - 2. 13 Advantages of RBC. - 3 Bit Allocation and Quantization for Transform Coding. - 3. 1 Introduction. - 3. 2 Choice of Transform and Quantizer. - 3. 3 Bit Allocation. - 3. 4 Integer Bit Allocation. - 3. 5 Zero Level Quantizers. - 3. 6 Choice of RD Function for Bit Allocation. - 3. 7 RBC Rate Distortion Analysis. - 3. 8 Ensemble Design for DCT and RBC. - 3. 9 Color Coding. - 4 Zonal Coding. - 4. 1 Introduction. - 4. 2 Original Images. - 4. 3 Simulation Facilities. - 4. 4 Image Quality Measures. - 4. 5 1d Coding Results. - 4. 6 2d Coding Results. - 4. 7 Hybrid Coding. - 4. 8 Conclusions. - 5 Adaptive Coding Based on Activity Classes. - 5. 1 Introduction. - 5. 2 Adaptive DCT. - 5. 3 Adaptive RBC. - 5. 4 Coding Results. - 5. 5 Conclusions. - 6 Adaptive Coding Based on Quad Tree Segmentation. - 6. 1 Introduction. - 6. 2 Adaptive Segmentation. - 6. 3 The Quad Tree Approach. - 6. 4 Coding the Segmentation. - 6. 5 Reconstruction. - 6. 6 Coding the Residual. - 6. 7 Results. - 6. 8 Conclusions. - 7 QVQVector Quantization of the Quad Tree Residual. - 7. 1 Introduction. - 7. 2 Vector Quantization. - 7. 3 Differential and Interpolate VQ. - 7. 4 VQ of the Quad Tree Residual. - 7. 5 Coding Results. - 7. 6 Conclusions. - 8 Conclusions. - 8. 1Introduction. - 8. 2 New Results. - 8. 3 Coding Recommendations. - 8. 4 Future Work. - Appendix A Ordinary and Partial Differential and Difference Equations. - A. 1 Introduction. - A. 2 Second Order Ordinary Differential Equations. - A. 3 Second Order Ordinary Difference Equations. - A. 4 Second Order Partial Differential Equations. - A. 5 Second Order Partial Difference Equations. - Appendix B Properties of the Discrete Sine Transform. - B. 1 Introduction. - Definition. - Notation. - Tridiagonal Toeplitz Matrices. - B. 2 DST Evaluation Technique. - B. 3 Exponential Sequences. - B. 4 Constant Sequences. - B. 5 Linear Sequences. - B. 6 Hyperbolic Sequences. - B. 7 Sinusoidal Sequences. - Appendix C Transform Domain Variance Distributions. - C. 1 Introduction. - C. 2 1d RBC. - Normalized Variance Distribution. - Variance Reduction Ratio. - C. 3 1d DCT. - Appendix D Coding Parameters for Adaptive Coding Based on Activity Classes. - D. 1 Introduction. - D. 2 Adaptive DCT Coding Parameters. - D. 3 Adaptive RBC Coding Parameters. - References. Language: English