Natural Image Statistics

1. Introduction
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

Part I. Background

2. Linear Filters and Frequency Analysis
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

3. Outline of the Visual System
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

4. Multivariate Probability and Statistics
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

Part II. Statistics of Linear Features

5. Principal Components and Whitening
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

6. Sparse Coding and Simple Cells
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

7. Independent Component Analysis
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

8. Information-Theoretic Interpretations
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

Part III. Nonlinear Features and Dependency of Linear Features

9. Energy Correlation of Linear Features andNormalization
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

10. Energy Detectors and Complex Cells
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

11. Energy Correlations and Topographic Organization
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

12. Dependencies of Energy Detectors: Beyond V1
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

13. Overcomplete and Non-negative Models
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

14. Lateral Interactions and Feedback
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

Part IV. Time, Color, and Stereo

15. Color and Stereo Images
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

16. Temporal Sequences of Natural Images
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

Part V. Conclusion

17. Conclusion and Future Prospects
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

Part VI. Appendix: Supplementary Mathematical Tools

18. Optimization Theory and Algorithms
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

19. Crash Course on Linear Algebra
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

20. The Discrete Fourier Transform
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

21. Estimation of Non-normalized Statistical Models
Aapo Hyvärinen, Jarmo Hurri, Patrik O. Hoyer

Nyckelord: Computer Science, Computer Imaging, Vision, Pattern Recognition and Graphics, Neurosciences, Signal, Image and Speech Processing