An Introduction to Mathematical Image Processing

IAS, Park City Mathematics Institute, Utah

Undergraduate Summer School 2010

Instructor: Luminita Vese (E-mail: lvese@math.ucla.edu)
Teaching Assistant: Todd Wittman (wittman@math.ucla.edu)

Lecture Meeting Time and Location: Mon, Tue, Thu, Fri 1-2pm (location: Coalition 1&2)
Problem Session: 4.30-5.30, 5.30-6.30 (location: computer lab or tent)
Link to Discussion Page

Recommended Textbooks:

R.C. Gonzalez and R.E. Woods, Digital Image Processing, 3rd edition, Prentice-Hall, 2008.

R.C. Gonzalez, R.E. Woods and S.L. Eddins, Digital Image Processing Using Matlab, 2nd edition, Gatesmark Publishing, 2009.

The following material is obtained from the book web page (including review material for students, solutions (student version), projects):

http://www.imageprocessingplace.com/

Errata to the textbook

Complementary materials designed especially for students

Review Materials

Projects

Useful Links:

Image Processing Using Matlab (prepared by Pascal Getreuer)

MATLAB documentation

Quick Matlab Documentation (thanks to Prof. C. Anderson, UCLA)

Class Web Page: http://www.math.ucla.edu/~lvese/155.1.09w/PCMI_USS_2010/

Topics:
Topics.pdf

Course materials:

Lecture 1 Slides

Lecture Notes

Sample Matlab Codes:

SampleMatlabCode.m

Illustration of shifting the center of the FT in 1D

Matlab code for the example above of computing the DFT in 1D and shifting the center

Matlab code reproducing the result in Fig. 4.3, using the DFT and IDFT (image to download: Fig4.03(a).jpg)


Practice Problems:

Problem Set 1

Problem Set 2

Problem Set 3

Problems and Computer Projects Set 4

Computer Projects:

Computer Projects #1
Fig3.08(a).jpg (MRI spine)
Fig3.40(a).jpg (North Pole of the moon)
Fig2.21(a).jpg (CT image of the human head)

Computer Projects #2
Fig5.26a.jpg
Fig4.11(a).jpg
Fig3.37(a).jpg

Computer Projects #3
Fig5.07(a).jpg (original) Fig5.07(b).jpg (noisy)
Fig5.08(a).jpg (noisy)
Fig5.08(b).jpg (noisy)