G = Goodman, Joseph W. Statistical Optics. Hoboken, NJ: Wiley-Interscience, 2000. ISBN: 9780471399162.
B = Bertero, Mario, and Patrizia Boccacci. Introduction to Inverse Problems in Imaging. London, NY: Taylor & Francis, 1998. ISBN: 9780750304351.
| LEC # | TOPICS | READINGS |
|---|---|---|
| 1 | Introduction: Statistical Optics, Inverse Problems | |
| 2 | Fourier Optics Overview | |
| 3 | Random Variables: Basic Definitions, Moments | G2.1-4 |
| 4 | Random Variables: Transformations, Gaussians | G2.5-9 |
| 5 | Examples: Probability Theory and Statistics | Notes |
| 6 | Random Processes: Definitions, Gaussian, Poisson | G3.1-7 |
| 7 | Examples: Gaussian Processes | Notes |
| 8 | Random Processes: Analytic Representation | G3.8-10 |
| 9 | Examples: Complex Gaussian Processes | Notes |
| 10 | 1st-Order Light Statistics | G4.1-4 |
| 11 | Examples: Thermal and Laser Light | Notes |
| 12 | 2nd-Order Light Statistics: Coherence | G5.1-3 |
| 13 | Example: Integrated Intensity | G6.1 |
| 14 | The van Cittert-Zernicke Theorem | G5.4-6 |
| 15 | Example: Diffraction from an Aperture | G5.7 |
| 16 | The Intensity Interferometer Speckle | G6.3 7.5 |
| 17 | Examples: Stellar Interferometer, Radio Astronomy, Optical Coherence Tomography | Notes |
| 18 | Effects of Partial Coherence on Imaging | Class |
| 19 | Information Theory: Entropy, Mutual Information | Notes |
| 20 | Example: Gaussian Channels | Notes |
| 21 | Convolutions, Sampling, Fourier Transforms Information-Theoretic View of Inverse Problems | B2.1-7 and Notes |
| 22 | Imaging Channels Regularization | B3.1-5, 5.1-3 |
| 23 | Inverse Problem Case Study: Tomography Radon Transform, Slice Projection Theorem | B8.2-3 9.5, 11.1 |
| 24 | Filtered Backprojection | B11.2-3 |
| 25 | Super-Resolution and Image Restoration | B10.1-5, 11.4-5 |
| 26 | Information-Theoretic Performance of Inversion Methods | Class |