Multidimensional Signal, Image, and Video Processing and Coding

Chapter 1. Two-Dimensional Signals and Systems

1.1 Two-Dimensional Signals

1.2 2-D Discrete-Space Fourier Transform

Conclusions

Problems

References

Chapter 2. Sampling in Two Dimensions

2.1 Sampling Theorem—Rectangular Case

2.2 Sampling Theorem—General Regular Case

2.3 Change of Sample Rate

2.4 Sample-Rate Change—General Case

Conclusions

Problems

References

Chapter 3. Two-Dimensional Systems and Z-Transforms

3.1 Linear Spatial or 2-D Systems

3.2 Z-Transforms

3.3 Regions of Convergence

3.4 Some Z-Transform Properties

3.5 2-D Filter Stability

Conclusions

Problems

References

Chapter 4. 2-D Discrete-Space Transforms

4.1 Discrete Fourier Series

4.2 Discrete Fourier Transform

2-D Discrete Cosine Transform

4.4 Subband/Wavelet Transform

4.5 Fast Transform Algorithms

4.6 Sectioned Convolution Methods

Conclusions

Problems

References

Chapter 5. Two-Dimensional Filter Design

5.1 FIR Filter Design

5.2 IIR Filter Design

5.3 Subband/Wavelet Filter Design

Conclusions

Problems

References

Chapter 6. Image Perception and Sensing

6.1 Light and Luminance

6.2 Still Image Visual Properties

6.3 Time-Variant Human Visual System Properties

6.4 Color

6.5 Color Spaces

6.6 Image Sensors and Displays

Conclusions

Problems

References

Chapter 7. Image Enhancement and Analysis

7.1 Simple Image Processing Filters

7.2 Image Enhancement

7.3 Image Analysis

7.4 Object Detection

Conclusions

Problems

References

Chapter 8. Image Estimation and Restoration

8.1 Two-Dimensional Random Fields

8.2 Estimation for Random Fields

8.3 Two-Dimensional Recursive Estimation

8.4 Inhomogeneous Gaussian Estimation

8.5 Estimation in the Subband/Wavelet Domain

8.6 Bayesian and Maximum a Posteriori Estimation

8.7 Image Identification and Restoration

8.8 Non-Bayesian Methods

8.9 Image Superresolution

8.10 Color Image Processing

Conclusions

Problems

References

Appendix: Random Processes

Chapter 9. Digital Image Compression

9.1 Introduction

9.2 Transformation

9.3 Quantization

9.4 Entropy Coding

9.5 DCT Coder

9.6 SWT Coder

9.7 JPEG 2000

9.8 Color Image Coding

9.9 Directional Transforms

9.10 Robustness Considerations

Conclusions

Problems

References

Appendix on Information Theory

Chapter 10. Three-Dimensional and Spatiotemporal Processing

10.1 3-D Signals and Systems

10.2 3-D Sampling and Reconstruction

10.3 Spatiotemporal Signal Processing

10.4 Spatiotemporal Markov Models

Conclusions

Problems

References

Chapter 11. Digital Video Processing

11.1 Interframe Processing

11.2 Motion Estimation and Motion Compensation

11.3 Motion-Compensated Filtering

11.4 Bayesian Method for Estimating Motion

11.5 Restoration of Degraded Video and Film

11.6 Super-Resolution of Video

Conclusions

Problems

References

Appendix: Digital Video Formats

Chapter 12. Digital Video Compression

12.1 Intraframe Coding

12.2 Interframe Coding

12.3 Early Interframe Coding Standards

12.4 Interframe SWT Coders

12.5 Scalable Video Coders

12.6 Current Interframe Coding Standards

12.7 Nonlocal Intraprediction

12.8 Object-Based Coding

12.9 Comments on the Sensitivity of Compressed Video

Conclusions

Problems

References

Chapter 13. Video Transmission over Networks

13.1 Video on IP Networks

13.2 Robust SWT Video Coding (Bajić)

13.3 Error-Resilience Features of H.264/AVC

13.4 Joint Source–Network Coding

Conclusions