This is a class-by-class detailed syllabus that will be updated after every
class.
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and Date |
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Notes |
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Course Policies Introduction Image definitions and basic properties 2D continuous space signals and systems 2D delta functions linearity, space invariance, magnification PSF |
Fessler's 2D Continuous Notes, pp. CS1-CS22 |
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2D continuous
space signals and systems superposition integral, convolution, PSF & Resolution 2D Fourier Transforms definitions, properties , examples, transfer functions |
Noll's 1D & 2D FT Notes
, pp. 8-15 (Review of 1D FT's on 1-7) Fessler's 2D Continuous Notes, pp. CS30-CS43 (Background reading pp. CS23-CS29) |
| 3 - 1/14 | 2D FT more properties, examples 2D sampling Nyquist criterion, sinc interpolation |
same as
previous class |
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Relatives of the 2DFT's 2D Discrete space FT (2D-DSFT), 2D Fourier Series 2D Discrete FT (2D-DFT) definitions, relationhips to continuous FT FFT's |
Noll's FT Notes , pp. 12-14 Fessler's 2D Continuous Notes, pp. CS44-CS48 |
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2D discete space systems 2D Kronecker delta functions linearity, space invariance, etc. PSF, convolution, separable convolution, edge effect |
Lim, Sections 1.0-1.2 Fessler's 2D Discrete Space Notes, pp. 1.1-1.14 Fessler's 2D FT Notes, pp. 3.1-3.6 |
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2D Discete Discrete FT properties convolution FT methods of implmenentation of linear convolution |
Lim, Sections 1.3, 3.0-3.2 Fessler's 2D Discrete Space Notes, pp. 1.15-1.20 Fessler's 2D FT Notes, pp. 3.1-3.10 |
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2D Discete Discrete
FT convolution FT methods of implmenentation of linear convolution |
Lim, Sections
3.2 Fessler's 2D FT Notes, pp. 3.10-3.19 |
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1D DCT 2D DCT properties Computational aspects, FFT's Image Filtering |
Lim, Sections
3.3, 3.4 Fessler's 2D FT Notes, pp. 3.20-3.26 |
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Image Filtering |
Lim, Sections 4.0-4.3.1 Fessler's 1.21-1.25, 4.1-4.4 |
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Image Filtering Visual System Properties anatomy, spectral sensitivity, contrast, point nonlinearities |
Lim, Chapter 7 O'Donnels' Notes Section 3.1-2 http://webvision.med.utah.edu/index.html (parts I and IX) |
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Visual System Properties spatial response, system model optical response, resolution, color |
same as previous class |
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Visual System Properties color Image Enhancement contrast adjustment |
Lim 8.1 Fessler's 8.1-8.8 |
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Image Enhancement noise smoothing - linear, median, other edge preserving edge detection - gradient methods, edge thinning |
Lim 8.2-8.3 Fessler's 8.9-8.19 An example of a non-linear edge preserving filter - the anisotropic diffusion filter (this link is to a chapter of a grad student thesis) |
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Image Enhancement edge detection - laplacian methods methods that incorporate smoothing marr-hildreth, canny interpolation and motion detection |
Lim 8.4 Fessler's 8.21-8.32 |
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SPRING BREAK |
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This class will be cancelled and
rescheduled. |
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| 16 - 3/6 |
Image Enhancement interpolation and motion detection Spectral Estimation |
Lim 6.0-6.1 Fessler's Notes 6.1-6.5 |
| 17 - 3/11 |
Spectral Estimation random processes through LSI systems Weiner filters |
Lim 6.2 Fessler's Notes 6.6-6.16 |
| 18 - 3/13 |
Spectral Estimation Image Resoration estimation of degradation Weiner filters revisited |
Lim 9.0-9.2 Fessler's Notes 9.1-9.8 |
| 19 - 3/18 |
Image Restoration |
same |
| 20 - 3/20 |
Image Restoration blind deconvolution deblurring, inverse filtering deblurring with noise - Weiner filtering II temporal filtering |
Lim 9.3-9.6 Fessler's Notes 9.9-9.13 |
| 21 - 3/25 |
Statistical Image Restoration matrix formulation, circulant blur filters Gaussian MAP estimator alternate penalty functions (incl. non-quadratic penalties) |
Fessler's Notes R.1-R.9,
R.15 |
| 22 - 3/27 |
Image Coding intro quantization distortion measures companding |
Lim 10.0-10.1 Fessler's Notes 10.1-10.6 Reading on transform coding |
| 23 - 4/1 |
Image Coding optimization vector quantization |
Lim 10.1 Fessler's Notes 10.7-10.11 |
| 24 - 4/3 |
Image Coding vector quantization codeword assignment - uniform and variable length codeword assignment - Huffman coding |
Lim 10.2 Fessler's Notes 10.12-10.15 |
| 25 - 4/8 |
Image Coding waveform coding - PCM, Robert's method, Pyramid coding |
Lim 10.3-4 Fessler's Notes 10.16-10.19 |
| 26 - 4/10 |
Image Coding transform coding - Karhunen-Loeve transform, Haddamard, DCT, DFT |
Lim 10.4 Fessler's Notes 10.24-10.30 |
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15 - makeup lecture
4-5pm on 4/10
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Image Coding JPEG |
Reading on JPEG 1990 Reading on JPEG 2000 |
| 27 - 4/15 |
Last Class! Teach Evaluations Image Coding wavelet compression techniques bit allocation in tranform coding |
Reading on Wavelet Compression |