| 1 | Introduction: Statistical Optics, Inverse Problems (PDF - 1.3 MB) |
| 2 | Fourier Optics Overview (PDF - 1.4 MB) |
| 3 | Random Variables: Basic Definitions, Moments |
| 4 | Random Variables: Transformations, Gaussians |
| 5 | Examples: Probability Theory & Statistics |
| 6 | Random Processes: Definitions, Gaussian, Poisson |
| 7 | Examples: Gaussian Processes |
| 8 | Random Processes: Analytic Representation |
| 9 | Examples: Complex Gaussian Processes |
| 10 | 1st-Order Light Statistics |
| 11 | Examples: Thermal & Laser Light |
| 12 | 2nd-Order Light Statistics: Coherence |
| 13 | Example: Integrated Intensity |
| 14 | The van Cittert-Zernicke Theorem |
| 15 | Example: Diffraction From An Aperture |
| 16 | The Intensity Interferometer
Speckle (PDF - 2.4 MB) |
| 17 | Examples: Stellar Interferometer, Radio Astronomy,
Optical Coherence Tomography |
| 18 | Effects of Partial Coherence on Imaging |
| 19 | Information Theory: Entropy, Mutual Information (PDF) |
| 20 | Example: Gaussian Channels |
| 21 | Convolutions, Sampling, Fourier Transforms
Information-Theoretic View of Inverse Problems (PDF) |
| 22 | Imaging Channels
Regularization |
| 23 | Inverse Problem Case Study: Tomography
Radon Transform, Slice Projection Theorem |
| 24 | Filtered Backprojection |
| 25 | Super-Resolution and Image Restoration |
| 26 | Information-Theoretic Performance of Inversion Methods |