IMGS-261: Linear Mathematics for Imaging
Last modified 2015-04-21 by Roger Easton

Spring 20142


  1. Course
    1. Four (4) credit hours
    2. Four (4) lecture hours per week
    3. Prerequisites: 1016-305, Calculus IV
    4. Corequisites:  None
    5. Schedule: TTh, 9:00am-10:45am, 76-1235

  2. Instructor: Roger Easton
    1. Office: Carlson 2112
    2. Phone: 475-5969
    3. Email: easton@cis.rit.edu
    4. Weekly Schedule 20142 (pdf)
    5. Office Hours: M 10:30am-11:30am, T 11am-12n, W 2pm-3pm, Th 11pm-12n

  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 (S)

  1. 1051-261 Course Materials
            Course Information and Bibliography (pdf)
            Course Syllabus (pdf)

           Resources:

                SignalShow: A free software program written in Java by former undergraduate student Juliet Bernstein for illustrating the concepts in this course.
                    Available for the three most common personal computer platforms (Windows, Macintosh OSX, and Linux). 
                    The compiled JAVA programs are available at:  http://homes.cs.washington.edu/~juliet/photography/SignalShow.jar
                    The source code is available at: (Dropbox link): https://www.dropbox.com/sh/h3c07v15kf1ptao/PQ1_7n8nEa

                    Videos are posted on YouTube  that illustrate the use and features of the program.

                Signals: A DOS program for demonstrating Fourier transforms of one-dimensional functions; available as a zipped file from the CIS FTP site:
                     http://www.cis.rit.edu/people/faculty/easton/signals/signals.zip
                            The program  runs quite well in "DOSBox," which is available for many platforms (Windows, Mac OSX, Linux)  from http://www.dosbox.com/
                            The user manual for the DOS version of SIGNALS is available online at:  http://www.cis.rit.edu/resources/software/sig_manual/
                             (see me for help with installation, if needed)

                Audacity: http://audacity.sourceforge.net/   (for generating audio waveforms and recording/editing sound files, includes FFT analysis

                Spectrum Lab: (audio spectrum analyzer): http://www.qsl.net/dl4yhf/spectra1.html#download

               Paul Romanczyk's Mathematica  tool for adding sinusoidal waves  --- link to Mathematica Player download    
               Online tool to invert matrix (up to 9 × 9)  

    Text:  
         Fourier Methods in Imaging, Roger L. Easton, Jr., John Wiley and Sons, 2010, available from the RIT Bookstore and the other usual suspects.  
              (I  have some old bound copies of course notes to give away for free, but note that there are some minor differences between the old and new versions)
 

    Supplemental Materials

  1.   Notes on Row and Null subspaces and eigenvectors and eigenvalues of 2×2 circulant matrices (1st edition 1, 24 January 2011)
  2.   Diagonalization of circulant matrices (2×2, 3×3, 4×4)
  3.   Series expansions you should know (pdf) (2nd edition, 23 August 2012)


             Homework                                                                         Solutions
                  HW#1 (due Th, 05 February 2015)                                        SS#1
                  HW#2 (due Th, 12 February 2015)                                        SS#2
                  HW#3 (due Th, 19 February 2015 NOTE CORRECTION)  SS#3
                  HW#4 (due Th, 26 February 2015)                                        SS#4
                  HW#5 (due Th 12 March 2015)                                             SS#5
                  HW#6 (due Tu 31 March 2015)                                             SS#6
                  HW#7 (due Th 09 April 2015)                                               SS#7
                  HW#8 (due Tu 28 April 2015)                                               SS#8
                  HW#9 (due Tu 05 May 2015)                                               SS#9
                  HW#10 (due Tu 12 May 2015)                                             SS#10

                
             MIDTERM EXAM    
                  Exam#1                        Exam #1 Solutions
                  Exam#2                        Exam #2 Solutions
                           

             FINAL EXAM, Tuesday 19 May, 8am - 10am, 76-1235
                                                                                                                                  
                         

    If you don't have a PDF reader, one can be downloaded for free from the Adobe Website.


    Streaming Video
STREAMING VIDEO
Monday Wednesday
Week 1
1/27, 1/29
Week 2
2/3, 2/5
Week 3
2/10, 2/12
Week 4
2/17, 2/19
Video Link pdf of class notes
Week 5
2/24, 2/26
Video Link
Week 6
3/3, 3/5
Week 7
3/10, 3/12
Week 8
3/17, 3/19
Week 9
3/31, 4/2
Week 10
4/7, 4/9
Week 11
4/13, 4/15

Week 12
4/20, 4/22
Week 13
4/27, 4/29
Week 14
5/4, 5/6
Week 15
5/11