1051-320: Linear Mathematics for Imaging
Last modified 01/25/2011 by Roger Easton
Winter 20112
- Course
- Four (4) credit hours
- Four (4) lecture hours per week
- Prerequisites: 1016-305, Calculus IV
- Corequisites: None
- Instructor: Roger Easton
- Office: Carlson 2112
- Phone: 475-5969
- Email: easton@cis.rit.edu
- Weekly Schedule 20112
- Office Hours M,T,Th 4-5, F 2-3
- Course Catalog Description
This course develops the
concepts of complex numbers, linear algebra, and Fourier transforms for describing imaging
systems. Class 4, Credit 4 (W)
- 1051-320 Course Materials
Course Information and Bibliography
Course Syllabus
Paul Romanczyk's Mathematica tool for adding sinusoidal waves --- link to Mathematica Player download
Online tool to invert matrix (up to 9 × 9)
Diagonalization of circulant matrices (2×2, 3×3, 4×4)
Text:
Fourier Methods in Imaging, Roger L. Easton, Jr., John Wiley and Sons, 2010, available from the RIT Bookstore and the usual suspects.
(I have some old bound copies of course notes to give away
for free, but note that there are significant differences between the
old and new versions)
Supplemental Materials:
Notes on Row and Null subspaces and eigenvectors and
eigenvalues of 2×2 circulant matrices (Ed. 1, 24 January 2011)
Series expansions you should know (pdf)
Homework
HW#1 (due Th 12/08/2011) Solution Set #1
HW#2 (due Th 12/15/2011) Solution Set #2 (revised 01/12/2012)
HW#3 (due Tu 01/17/2012) Solution Set #3 (revised 01/18/2012)
HW#4 (due Tu 01/31/2012)
HW#5 (due Tu 02/07/2012)
Examinations
Midterm Exam, 01/24/2012 (Tu) Solutions
FINAL EXAM:
If you don't have a PDF reader, one can be downloaded for free
from
the Adobe
Website.