## Math 155, Lecture 1, Winter 2008

## Mathematical Imaging

**Lecture Meeting Time:** MWF 1.00PM - 1:50PM.

** Lecture Location:** MS 6229.

** Discussion Section:** Thursday 1.00PM - 1:50PM, BOELTER 5419.

**Instructor:** Luminita A. Vese

**Office:** MS 7620D

**Office hours:** M 3-4pm, W 3-4pm, F 2-3pm, or by appointment.

**E-mail:** lvese@math.ucla.edu

**Teaching Assistant:** Pascal Getreuer, E-mail: getreuer@math.ucla.edu

**Office:** MS 6160.

**Office hours:** Thursdays 2-4pm.

**Textbooks:**
2nd edition or 3rd edition (better) of
__
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 and R.E. Woods, __*Digital Image
Processing, 3rd edition*, Prentice-Hall, 2008 (instead of the 2nd edition).
__
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

http://www.pic.ucla.edu/piclab/
MATLAB documentation
More about Matlab
Quick Matlab Documentation (thanks to Prof. C. Anderson, UCLA)
Class Web Page: http://www.math.ucla.edu/~lvese/155.1.08w/

**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 (we did not discuss "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
TBA

**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.

**Examinations:**
__One Midterm Exam:__ Friday, February 15, 2007 (in lecture).
__One Final Exam:__ Code: 06 - Tuesday, March 18, 2008, 8:00am-11:00am.

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__

__
Fig4.03(a).jpg__

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__

__
Review material offered by the book authors__

**Homework Assignments, Projects & Practice Problems:**

**HW #1** Due on Friday, January 18 (deadline extension: by Wednesday, January 23)

__
HW1.pdf__

Image to download Fig2.21(a).jpg

Image to download Fig3.08(a).jpg

**HW #2** Due on Friday, January 25, or on Monday, January 28

__
HW2.pdf__

Image to download Fig3.37(a).jpg

**HW #3** Due on Friday, February 1

__
HW3.pdf__

Image to download Fig3.37(a).jpg

Image to download Fig3.40(a).jpg

Image to download Fig5.26a.jpg

**HW #4** Due on Friday, February 8

__
HW4.pdf__

Image to download Fig5.26a.jpg

**HW #5** Due on Friday, February 15

__
HW5.pdf__

Image to download Fig4.11(a).jpg

**HW #6** Due on Wednesday, February 27

__
HW6.pdf__

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, March 7

__
HW7.pdf__

Image to download Fig4.41(a).jpg

Image to download Fig.4.41(b).jpg

Image to download Fig5.26(a).jpg

Image to download Fig5.07(a).jpg (original circuit board X-ray)

**HW #8** Due on Tuesday, March 18

__
HW8.pdf__

Image to download Fig5.26(a).jpg

Image to download Fig10.15a.jpg

__
About the final exam __