Course Outline

1. Mathematical Preliminaries (1 week)
   • Linear shift invariant systems
   • Fourier and Z transforms
   • Matrix theory - Linear Algebra
   • Random signals and discrete random fields
   • Orthogonality principle in Estimation Theory
      
2. Image Perception and Physical Modeling (1 week)
   • The human eye
   • Light, luminance, and brightness
   • Color modeling and representation
   • Imaging tools (camera, photographic film, stereo imaging)
      
3. Image Capture, Sampling and Quantization (1 week)
   • Scanning, recording, and displaying
   • Sampling theory
   • Quantization: uniform and non-uniform quantization
   • Masking and visual quantization
      
4. Mathematical Modeling (2 weeks)
   • KLT, DFT, FFT, DCT, DST, Hadamard, Haar, and other transforms
   • Properties of transforms: energy compaction, decorrelation
   • Two-dimensional FIR filters: design and implementation
   • Two-dimensional IIR filters: stability, convergence, implementation
   • Mathematical Morphology
   • ARMA models, linear prediction, spectral factorization
      
5. Image Enhancement (1 week)
   • Histogram modeling techniques
   • Smoothing and sharpening
   • Filtering, model-based enhancement
   • Multi-component Image enhancement
      
6. Image Restoration (1 week)
   • Degradation/observation models
   • Inverse filtering, interpolation, extrapolation
      
7. Image Reconstruction from Projections (1 week)
   • Projection-based image processing, tomography
   • Radon Transform
   • Convolution/back projection algorithms
      
8. Image Analysis (1 week)
   • Feature detection and extraction
   • Boundary, region, and moment representation
   • Image segmentation
      
9. Digital Video (3 weeks)
   • What is digital video?
   • Spatio-temporal sampling and reconstruction
   • Motion modeling and estimation
   • Video filtering
      

Number of Lecture Hours:  3-0-0

Text: A Study Guide for Digital Image Processing, by M. Smith and A. Docef.

Grading:

• Homework: 10%
• Midterm Exam: 20%
• Final Exam: 35%
• Project: 35%