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

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

Textbooks:

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
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/155.1.09w/

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.

Examinations:

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
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