Assignment for Wednesday 8/27: review material on Multidimensional Signal
ECE418 Lecture Notes, Chapter 1.
Introduction (1.5 hours)
Multidimensional Random Processes (3 hours)
Spectral representation, stationarity, isotropy, ergodicity
Image Modeling (~10 hours)
Model estimation and validation, autoregressive models,
Markov random fields, multiresolution models, graphical models
Camera Sensor Models (1.5 hours)
Photographic film, solid-state imagers
Image Restoration (~12 hours)
Image degradation models, Wiener filters,
MAP estimators, regularized estimators, Bayesian estimators,
set-theoretic estimators, learning, computational methods (EM algorithm,
relaxation, alternating maximization methods, PDEs, belief
propagation for graphical models). Applications to image inpainting,
superresolution; blind deconvolution; image registration; image forensics
Video Processing (6 hours)
3-D and 2-D Motion models; ill-posedness of inverse problem;
block matching; optical flow;
transform-based models, motion-compensated prediction models;
Security Applications (4.5 hours)
Surveillance, authentication, encryption
Biometrics (4.5 hours)
Fingerprint and iris recognition systems
The final grade will be determined based on regular homeworks, one midterm
exam, and a final project or final (as chosen by the student):
Midterm Exam: 30%
Project or Final: 50%
You may use any material you want to solve homework problems. Teaming up
with other students to work out homework problems is acceptable. However,
you will maximize your learning experience by working out homework problems
on your own. In any event, you are required to write out your solutions
Homeworks will typically be due on Wednesdays. Possible grades are:
3 (perfect or nearly perfect), 2 (good but needs improvement),
1 (serious deficiencies) or 0 (unsatisfactory).
Instructor's notes are available electronically.
Recommended books are Bovik's Handbook of Image and Video Processing
(2005) and Woods' book entitled:
Multidimensional Signal, Image and Video Processing and Coding (2006).
Articles in recent scientific and technical literature will also be used
A. C. Bovik, Editor, Handbook of Image and
Video Processing, 2nd edition, 2005
J. W. Woods, Multidimensional Signal, Image, and Video
Processing and Coding, 2006
A. K. Jain , Fundamentals of Digital Image Processing , Prentice-Hall,
A. M. Tekalp, Digital Video Processing , Prentice-Hall, 1995.
P. Moulin, ECE418 Lecture Notes, 1998.
H. Stark and J. W. Woods, Probability, Random Processes, and Estimation
Theory for Engineers, Prentice-Hall, 1994.
A. M. Yaglom, Correlation Theory of Stationary and Related Random
Functions I: Basic Results, Springer-Verlag, 1987.
L. Breiman, Probability, SIAM, 1992.
U. Grenander, Abstract Inference, Wiley, 1981.
H. V. Poor, An Introduction to Signal Detection and Estimation,
2nd Ed., Springer-Verlag, 1994.
A. Gersho and R. M. Gray, Vector Quantization and Signal Compression,
M. Vetterli and J. Kovacevic, Wavelets and Subband Coding, Prentice-Hall,
Some of these books are also available at Reserve desk in the Grainger Library.