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 
Calendar
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Spring
2002
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notes
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assignment
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