Mathematics of Image Processing  (MA439-01) - S. Allen Broughton, Fall 2002

Course Guide and Syllabus

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Course Information

• Instructor:
• Professor S. Allen Broughton,
• Office: G205-A,
• Phone x8179
• Email: allen.broughton@rose-hulman.edu
• Schedule
• Time & Place: 5'th hour, 11:45 to 12:40, MTRF in G220
• Office hours: 8'th hour or by appointment
• Class Webpage: http://www.rose-hulman.edu/class/ma/broughton/courses/ma439/
• Text: course notes and handouts from instructor

Course Goals

1. Introduce mathematical background in image processing, in particular
• vector and matrix models of signals and images
• filtering and convolution
• various transforms such as the Fourier, discrete cosine transform, windowed Fourier transforms
• filter banks and the discrete wavelet transform.
2. Apply mathematical methods to solve problems in image processing in particular data and image compression
.
3. Improve problem solving and modeling skills of students.
4. Improve students' computer skills using image processing models and Matlab.
5. Improve students' ability at mathematical abstraction.
6. Give students additional experiences in mathematical writing and technical writing.

Major Topics Studied

1. Vector and matrix models of signals and images
2. Filtering and convolution
3. Fourier and discrete cosine transform
4. filter banks and wavelets
5. applications to compression

Course Policies

Grading: The course grade will be based on homework assignments or projects, a midterm take-home exam, and a take-home final exam. The time and place for delivery of the exams will be announced during the quarter.

Final Grades: Various components of the course will contribute to the course point total as follows:
 

Midterm  exam	200
Homework and Projects	200
Final Examination	200
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Total	600

Group Work: Some class work and project work will be done in teams.

• Be aware of the Rose-Hulman Honor Code and that honesty and integrity in one's work is of the utmost importance. Inappropriate sharing of work and information, including electronic sharing, will not be tolerated

• Note, however that you are encouraged to collaborate with others on homework, and in class you may be directed to work in groups. If you are in doubt about what is or is not appropriate just ask me. If you consult others in your submitted work you must acknowledge their contributions in writing on the assignments. You will not be penalized for honest collaboration, but don't just copy.

Attendance: You are to be in class and to be there on time. Following Rose’s policy on attendance, after 4 unexcused absences you will lose 5% for each additional unexcused absence.

Computer Policy: Make sure you have Maple and Matlab on your computer or have access to it. As many students will be unfamiliar with Matlab we will schedule one or two classes for the purpose of  gaining Matlab expertise while working on image processing problems.  We may use Maple from time to time. The computers in the classroom may be used for homework or projects whenever there is not a formal lab or class.