Math 155, Lecture 1, Winter 2009

Mathematical Imaging

Lecture Meeting Time: MWF 1.00PM - 1:50PM.
Lecture Location: MS 5138.
Discussion Section: Tuesday 1.00PM - 1:50PM, BOELTER 5419.

Instructor: Luminita A. Vese
Office: MS 7620D
Office hours: M 3-4pm, W 2-3pm, F 2-3pm, or by appointment.


Teaching Assistant: Wangyi (Bobby) Liu. E-mail:
Office: MS 3970.
Office hours: Tuesday, 3pm-6pm, in the PIC Lab (Boelter Hall 2817).

  • R.C. Gonzalez and R.E. Woods, Digital Image Processing, 3rd edition, Prentice-Hall, 2008.
  • (Optional) 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
  • MATLAB documentation
  • More about Matlab
  • Quick Matlab Documentation (thanks to Prof. C. Anderson, UCLA)
  • Class Web Page:

    Sections studied in the lecture (3rd EDition):
    (please read other sections that are not covered in class)
  • Introduction
  • 1.4 Fundamental Steps in Digital Image Processing
  • 2.3.4. A Simple Image Formation Model
  • 2.4 Image Sampling and Quantization: 2.4.1, 2.4.2, 2.4.3, 2.4.4.
  • Chapter 3: 3.1
  • 3.1.1, 3.2 (3.2.1-3.2.4 except Bit-plane slicing), 3.3, 3.4, 3.5, 3.6
  • Chapter 4: 4.2.1, 4.2.3, 4.2.4, 4.2.5, 4.4, 4.4.1, 4.4.2, 4.5.1, 4.5.5, 4.6.1, 4.6.2, 4.6.3, 4.6.4, 4.6.5, 4.6.6, 4.6.7.
  • 4.7
  • 4.8
  • ...

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

  • One Midterm Exam: Monday, February 9, 2009, 1.00-2.00pm.
  • One Final Exam: Code: 06 - Thursday, March 19, 2009, 3:00pm-6:00pm, Room MS 5138.
    These are closed note and closed book written exams.

    Grading Policy: HW 30%, Midterm 25%, Final 45%

    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 (including review material for students, solutions (student version), projects):
  • Errata to the textbook
  • Review material offered by the book authors

    Homework Assignments, Projects & Practice Problems:

    HW #1 Due on Wednesday, January 14 or Friday, January 16
    Image to download Fig2.21(a).jpg

    Image to download Fig3.08(a).jpg

    HW #2 Due on Friday, January 23

    HW #3 Due on Friday, January 30
    Image to download Fig3.37(a).jpg

    HW #4 Due on Friday, February 6
    Image to download Fig3.37(a).jpg

    Image to download Fig3.40(a).jpg

    Image to download Fig5.26a.jpg

    HW #5 Due on Friday, February 13
    Image to download Fig5.26a.jpg

    HW #6 Due on Friday, February 20
    Image to download Fig4.11(a).jpg

    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, February 27 or on Monday, March 2nd
    Image to download Fig5.07(a).jpg (original circuit board X-ray)

    HW #8 Due on Friday, March 6
    Image to download Fig5.26(a).jpg
    Image to download Fig5.07(a).jpg (original circuit board X-ray)
    Image to download Fig5.07(b).jpg
    Image to download Fig5.08(a).jpg
    Image to download Fig5.08(b).jpg

    HW #9 Due on Friday, March 13
    Image to download Fig5.26(a).jpg
    Image to download Fig10.15a.jpg

    About the final exam