Lectures

You can download all of the lecture materials here. Please email me if you find any mistakes.

• Course Introduction and 2D Fourier transform
  [Intro Slides] [Analog Images: Part I]
  

  • What is machine perception/image processing?
  • The basic objects: Images
  • Vector-space formulation of analog images
  • 2D systems
  • 2D Fourier transform
• 2D LSI Systems and Image Acquisition
  [Analog Images: Part II] [Image Sampling and Acquisition: Part I]
  

  • Orientation estimation
  • Characterization of LSI systems
  • Sampling theory
  • Aliasing problems
• Image Quantization and Filtering
  [Image Sampling and Acquisition: Part II] [Image Filtering: Part I]
  

  • Image quantization
  • Grayscale vs. spatial resolution tradeoff
  • 2D z-transforms
  • Image filtering
• Image Filtering Considerations and Binary Morphology
  [Image Filtering: Part II] [Morphological Processing: Part I]
  

  • Separability
  • Boundary conditions
  • Useful image processing filters
  • Binary morphology
• Practice Midterm
  [Practice Midterm] [Practice Midterm Solutions]
  

  The midterm will cover all material through the first half of week 4

• Morphological Processing and Common Image Processing Tasks
  [Morphological Processing: Part II] [Image Processing Tasks: Part I]
  

  • Binary morphology
  • Graylevel morphology
  • (Local) image normalization
  • Template matching and matched filters
  • Edge detection and Canny’s algorithm
  • What is image segmentation?
• Image Segmentation and Directional Image Analysis/Processing
  [Image Processing Tasks: Part II] [Directional Image Analysis/Processing]
  

  • Image segmentation
  • Radon transform
  • Structure tensor
  • Steerable filters
  • Edge and ridge detection: Revisited
• Image Reconstruction, Inverse Problems, and Least Squares
  [Image Reconstruction: Part I (Slides)] [Image Reconstruction: Part I (Board)]
  

  • Imaging as an inverse problem
  • Imaging operators and modalities
  • Discretization of inverse problems
  • Least squares
• Proximal Gradient Methods and Plug-and-Play for Image Reconstruction
  [Image Reconstruction: Part II (Board)]
  

  • Convexity
  • Regularized least squares
  • Proximal gradient methods
  • Plug-and-play methods for image reconstruction