Simon Fraser University
Engaging the World

Course Outlines

Spring 2025 - APMA 990 G100

Selected Topics in Applied Mathematics (4)

Class Number: 2782

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 6 – Apr 7, 2025: Tue, Thu, 2:30–4:20 p.m.
    Burnaby

    Apr 8, 2025: Tue, 2:30–5:50 p.m.
    Burnaby

Description

CALENDAR DESCRIPTION:

Topics vary depending on faculty availability and student interest. Recent offerings include: geophysical fluid dynamics, adaptive numerical methods for differential equations, learning theory, and stability, pattern formation and chaos.

COURSE DETAILS:

Analysis and Computation of Models: Mathematical Image Processing and Analysis

Course instructors: Dr. Steven Ruuth (sruuth@sfu.ca).
 
This course will introduce students to a number of problems in image processing and describe how they can be solved using modern techniques based on the calculus of variations and partial differential equations. Topics will be selected from image restoration (e.g., de-noising, de-blurring, inpainting...), image segmentation (e.g, active contours, the Mumford Shah model of image segmentation,...) and image registration. Relevant mathematical and numerical techniques such as variational calculus and level set methods will be introduced as part of the course. 

Prerequisites: Some undergraduate differential equations and numerical analysis, or permission of the instructors. 

Grading

  • 4 assignments weighted equally 67%
  • Project 33%

Materials

REQUIRED READING:

The lectures will not follow one particular textbook. The topics presented will be selected from a variety of texts and research papers. 


REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Graduate Studies Notes:

Important dates and deadlines for graduate students are found here: http://www.sfu.ca/dean-gradstudies/current/important_dates/guidelines.html. The deadline to drop a course with a 100% refund is the end of week 2. The deadline to drop with no notation on your transcript is the end of week 3.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the university community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the university. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the university. http://www.sfu.ca/policies/gazette/student/s10-01.html

RELIGIOUS ACCOMMODATION

Students with a faith background who may need accommodations during the term are encouraged to assess their needs as soon as possible and review the Multifaith religious accommodations website. The page outlines ways they begin working toward an accommodation and ensure solutions can be reached in a timely fashion.