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 image processing?
  • The basic objects: Images
  • Vector-space formulation of analog images
  • 2D systems
  • 2D Fourier transform
• 2D LSI Systems
  [Analog Images: Part II]
  

  • Orientation estimation
  • Characterization of LSI systems
  • Lab 0 Out
• Examples of LSI Systems and Image Acquisition
  [Analog Images: Part III] [Image Sampling and Acquisition: Part I]
  

  • LSI systems
  • Sampling theory
  • Aliasing problems
  • HW 1 Out
• Image Quantization
  [Image Sampling and Acquisition: Part II]
  

  • Image quantization
  • Grayscale vs. spatial resolution tradeoff
• Image Quantization and Filtering
  [Image Sampling and Acquisition: Part III] [Discrete Images and Filtering: Part I]
  

  • Lloyd-Max quantization
  • Discrete images and filtering
  • Lab 1 Out
• Image Filtering
  [Discrete Images and Filtering: Part II]
  

  • Filtering with masks
  • Equivalent filter characterizations of filters
  • HW 2 Out
• Practical Image Filtering
  [Discrete Images and Filtering: Part III]
  

  • Filter separability
  • Practical considerations for filtering
• IIR Filters and Binary Morphology
  [Discrete Images and Filtering: Part IV] [Morphological Processing: Part I]
  

  • IIR filter implementation
  • Binary morphology
• Gralevel Morphology and Image Normalization
  [Morphological Processing: Part II] [Image Processing Tasks: Part I]
  

  • Graylevel morphology
  • (Local) image normalization
  • Midterm Practice Problems Out
• Midterm Review
  
  

  • Midterm Practice Problems
• Template Matching and Edge Detection
  [Image Processing Tasks: Part II]
  

  • Template matching and matched filters
  • Edge detection and Canny’s algorithm
  • What is image segmentation?
  • HW 3 Out
• Segmentation and Radon Transforms
  [Image Processing Tasks: Part III] [Directional Image Analysis: Part I]
  

  • Image Segmentation
  • Radon transforms
• Radon Transforms and Directional Image Analysis
  [Directional Image Analysis: Part II]
  

  • Radon transforms
  • Directional derivatives
  • Steerability
• Image Reconstruction
  [Image Reconstruction]
  

  • Image reconstruction as an inverse problem
  • Imaging modalities
  • Discretization of inverse problems
  • Linear algebra and least-squares
  • HW 4 and Lab 3 Out
• Least Squares for Image Reconstruction
  
  

  • Least-squares solutions
  • Vector calculus review
  • Singular value decomposition (SVD)
  • Landweber iteration
• (Proximal) Gradient Descent
  
  

  • Regularized least-squares
  • Gradient descent
  • Proximal gradient descent
  • Final Practice Problems Out
• Proximal Gradient Descent and Plug-and-Play Methods
  
  

  • Proximal gradient descent
  • Plug-and-Play methods for image reconstruction
  • Lab 4 Out