EECS 556 Preliminary Syllabus

Preliminary Topic List:

1. Image definitions and basic properties
2. 2D continuous space signals, systems, Fourier relationships

2D Dirac delta functions
2D systems, linearity, space invariance, magnification
point spread function (PSF, impulse response)
convolution
2D Fourier transforms and properties
sampling
3. 2D discrete space signals, systems, Fourier and other transform relationships
2D Kronecker delta functions
2D systems, linearity, space invariance
convolution
2D discrete FT and properties
circular convolution
discrete cosine transform
FFT
4. 2D filters
Zero phase filters
Specification
Computational issues
5. Visual system properties
6. Image enhancement
Contrast adjustment, histogram transformation
Noise filtering
Edge enhancement, detection
Interpolation, motion estimation
7. Spectral estimation
            Random processes through LSI systems
            Weiner filters

8. Image restoration
Forms of degradation
Noise removal
Blur removal
Signal dependent noise
9. Image coding
Quantization, companding, VQ
Codeword assignment
PCM
Transform coding, KL transform, DCT, wavelets
JPEG
Other topics if time permits:
1.  Non-linear filtering