Math 155, Lecture 1, Spring 2006

Mathematical Imaging

Lecture Meeting Time: MWF 1.00PM - 1:50PM.
Lecture Location: MS 5117.
Discussion Section: T 1.00PM - 1:50PM, MS 5117.

Instructor: Luminita A. Vese
Office: MS 7620D
Office hours: M3-4, W3-4pm, Friday after 3pm (schedule subject to change), or by appointment.


Teaching Assistant: Ben Cook, E-mail:
Office: MS 7310.
Office hours: M 2-3, F 12-1 in MS 7310.

Required: Rafael C. Gonzalez and Richard E. Woods, Digital Image Processing, 2nd edition, Prentice-Hall, 2002.
(placed on reserve for 2 hours/overnight at SEL Library).
Recommended: R.C. Gonzalez, R.E. Woods and S.L. Eddins, Digital Image Processing Using Matlab, Prentice-Hall, 2004.

Pre-requisites: courses 32B and 33B, 115A and PIC 10A.

Useful Links:
  • Virtual Office Hours
  • PIC Lab: Boelter Hall 2817 and Mathematical Sciences 3970
  • MATLAB Documentation (thanks to Prof. C. Anderson, UCLA)
  • Class Web Page:
  • Getting started with MATLAB

    Assignments Policy: There will be several homework assignments on theoretical questions and computer projects. Homework will be assigned every week and collected the next week. Please start working from now at the PIC Lab, using the computer language Matlab.

  • One Midterm Exam: Monday, May 15.
    Sections covered for the midterm: 2.3.4, 2.4 (except 2.4.4), 3.1, 3.2, 3.3, 3.4.1, 3.4.2, 3.5, 3.6, 3.7, Chapter 4 (except 4.3.4, 4.6.6, 4.6.7).
    Definitions and proofs of properties of various filters and transforms will be given (up to 5 questions). There will be no programming questions.
  • One Final exam: Friday, June 9.
    These are closed note and closed book written exams.

    Grading Policy: HW 35%, Midterm 30%, Final 35%

    Class materials:
  • 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

    The following material is obtained from the book web page:
  • Errata to the textbook
  • Review material offered by the book authors

    Homework Assignments, Projects & Practice Problems:

    HW #1 Due on Tuesday, April 11 (collected by the T.A. Ben Cook)
    Image to download

    HW #2 Due on Wednesday, April 19
    Image to download Fig3.08(a).jpg

    HW #3 Due on Wednesday, April 26
    Image to download Fig3.37(a).jpg

    Image to download Fig3.40(a).jpg

    HW #4 Due on Wednesday, May 3
    Image to download Fig5.26a.jpg

    HW #5 Due on Wednesday, May 10
    Image to download Fig4.11(a).jpg

    HW #6 Due on Friday, May 19
    Image to download Fig5.7(b).jpg

    Image to download Fig5.8(a).jpg

    Image to download Fig5.8(b).jpg

    HW #7 Due on Friday, May 26
    Image to download Fig4.41(a).jpg

    Image to download Fig4.41(b).jpg

    Image to download Fig5.26(a).jpg

    HW #8 Due on Friday, June 2
    Image to download Fig5.26(a).jpg

    HW #9 Due on Friday, June 9
    Image to download Fig10.15(a).jpg

    Image to download Fig6.38(a).jpg