LEC #  TOPICS  KEY DATES 

1  Introduction: Statistical Optics, Inverse Problems  Homework 1 Posted (Fourier Optics Overview) 
2  Fourier Optics Overview  
3  Random Variables: Basic Definitions, Moments  Homework 1 Due Homework 2 Posted (Probability I) 
4  Random Variables: Transformations, Gaussians  
5  Examples: Probability Theory and Statistics  Homework 2 Due Homework 3 Posted (Probability II) 
6  Random Processes: Definitions, Gaussian, Poisson  
7  Examples: Gaussian Processes  Homework 3 Due Homework 4 Posted (Random Processes) 
8  Random Processes: Analytic Representation  
9  Examples: Complex Gaussian Processes  Homework 4 Due Project 1 Begins 
10  1stOrder Light Statistics  
11  Examples: Thermal and Laser Light  
12  2ndOrder Light Statistics: Coherence  
13  Example: Integrated Intensity  Project 1 Report Due Project 2 Begins 
14  The van CittertZernicke Theorem  
15  Example: Diffraction from an Aperture  
16  The Intensity Interferometer Speckle 

17  Examples: Stellar Interferometer, Radio Astronomy, Optical Coherence Tomography  
18  Effects of Partial Coherence on Imaging  Project 2 "LectureStyle" Presentations (2 Hours) 
19  Information Theory: Entropy, Mutual Information  
20  Example: Gaussian Channels  
21  Convolutions, Sampling, Fourier Transforms InformationTtheoretic View of Inverse Problems 

22  Imaging Channels Regularization 

23  Inverse Problem Case Study: Tomography Radon Transform, Slice Projection Theorem 

24  Filtered Backprojection  
25  SuperResolution and Image Restoration  
26  InformationTheoretic Performance of Inversion Methods 