• Lecture: Jul 21, 23, 28, 30 and Aug 1.
• Homepage: http://www.math.ust.hk/~masyleung/Teaching/CAS/
• Textbook: Image Processing and Analysis, Variational, PDE, Wavelet, and Stochastic Methods by Tony Chan and Jianhong Shen, SIAM.

 

Instructor

• Instructor: Hongkai Zhao
• Email: zhao (at) math.uci.edu

 

Teaching Assistant

• Teaching Assistant: Shingyu Leung
• Email: masyleung (at) ust.hk
• Office hour: 7/21, 7/30: 2-3; 7/23, 7/28: 330-430

• A link to resources on compressive sensing has been added. (8/1)
• Three papers have been uploaded. Please check the section "Refereces" below. They include the nonlocal mean paper by Buades, Coll and Morel, the TVL1 paper by Chan and Esedoglu, and also the paper on EM with local adaptivity by Leung, Liang, Solna and Zhao. (8/1)
• A sample program for Geodesic Active Contour has been uploaded. Please check the section "Geodesic Active Contour (MATLAB)" below. (7/30)
• A sample program for Perona-Malik filter has been uploaded. Please check the section "Perona-Malik Filter (MATLAB)" below. (7/28)
• concerning the exercise on edge detector (assigned on Jul 23), please use the image cameraman.jpg in the "sample images" section below, or you can [click here].
• gaussian.m has a bug. the line z = exp(-(m^2 - n^2)^2/(2*sd^2)); should read z = exp(-(m^2 + n^2)/(2*sd^2));. it has now been fixed.

• A. Buades, B. Coll, J.M Morel, "A review of image denoising algorithms, with a new one" , Multiscale Modeling and Simulation (SIAM interdisciplinary journal), Vol 4 (2), pp: 490-530, 2005.
• Chan, T. F.; Esedoglu, S. Aspects of total variation regularized L^1 function approximation. UCLA CAM Report 04-07 (February 2004). SIAM J. Appl. Math. 65:5 (2005), pp. 1817-1837.
• Shingyu Leung, Gang Liang, Knut Solna and Hongkai Zhao, Expectation-Maximization Algorithm with Local Adaptivity. SIAM J. Imaging Sci., Volume 2, Issue 3, Pages 834-857, 2009.
• Compressive Sensing Resources

• [MATLAB tutorial maintained by MATHWORKS]
• [A good introduction to MATLAB] Elements of MATLAB - L. Fosdick, E. Jessup, C. Schauble, 1993
• [A good introduction for SERIOUS MATLAB users] Writing Fast MATLAB Code - P. Getreuer, 2009

• example1.m: sample MATLAB script file 1.
• example2.m: sample MATLAB script file 2.
• example3.m: sample MATLAB script file 3.
• img2var.m: read-in image and convert the data from uint8 (8-bit unsigned integer) to double (double precision).
• noiseadd.m: add noise (uniform/Gaussian/Salt-and-pepper) to the image.
• snr.m: compute the SNR (signal-to-noise ratio).
• gaussian.m: Gaussian image denoising filer.

• [Click here for individual image]
• [zip ball]

• [Click here]

• PeronaMalik.m
• PMDriver.m
• Solution at t=2
• Solution at t=4
• Solution at t=6
• Solution at t=8
• Solution at t=10

• GeodesicActiveContour.m
• GACDriver.m
• Solution at t=0
• Solution at t=200
• Solution at t=400
• Solution at t=600
• Solution at t=800