1051-553: Linear Mathematics for Imaging II

last modified 3 April 2013 

Spring 20123

Room 76-1235, MW 10AM - 12N

  1. Course
    1. Four (4) credit hours
    2. Four (4) lecture hours per week
    3. Prerequisites: 1051-320 or permission of the instructor
    4. Corequisites:  None
  2. Instructor: Roger Easton
    1. Office: Carlson 2112
    2. Phone: 475-5969
    3. Email: easton@cis.rit.edu
    4. Weekly Schedule 20123 (TBD)
    5. Office Hours TBD
    6. I will be in Vercelli (Italy) the first week of class -- Phil Salvaggio will be substituting to do a review and to demonstrate the applications of the material .
  1. Course Catalog Description
          This course develops the concepts of vector analysis.
  1. 1051-553 Course Materials
            Curriculum
            
            Paul Romanczyk's Mathematica  tool for adding sinusoidal waves  --- link to Mathematica Player download    
            Online tool to invert matrix (up to 9 × 9)  

            Text Materials:
                  

            Supplemental Materials:
           Series expansions you should know (pdf)
                 Notes on "Differentiation, Integration, and Fourier Series" (pdf; Fourier starts on p.10)

  1.  "The Fourier Transform," R.N. Bracewell, in Scientific American, June 1989, pp. 86-95.
  2. "Numerical Transforms," R.N. Bracewell, in Science, v.248, 11 May 1990, pp. 687-704
  3. "Fourier Analysis Using a Spreadsheet," R.A. Dory and J.H. Harris, in Computers in Physics, Nov.-Dec. 1988, pp. 83-86.
  4. "A Plain Man's (sic) Guide to the FFT," P. Kraniauskas, in IEEE Signal Processing Magazine, v. 11, April 1994, pp.24-35.
  5. "Tom, Dick, and Mary Discover the DFT," J.R. Deller, Jr. in IEEE Signal Processing Magazine, v. 11, April 1994, pp. 36-50.
  6. "SIGNALS, Interactive Software for One-Dimensional Signal Processing," R.L. Easton, Jr., Computer Applications in Engineering Education v. 1, December 1993, pp. 486-501.
  7. "Fast Fourier Transform for Fun and Profit," W.M. Gentleman and G. Sande, in Proceedings - Fall Joint Computer Conference, 1966, pp. 563-578.
  8. "Gauss and the History of the Fast Fourier Transform," M.T. Heideman, D.H. Johnson, and C.S. Burrus, IEEE ASSP Magazine, v. 1, #4, October 1984, pp. 14-21.

 

Software Resources

Phil Salvaggio's Matlab script (attached) to illustrate diagonalization

Phil Salvaggio's demo of real-time filtering with the Point Grey cameras (tar file)

A software program written in Java by former undergraduate student Juliet Bernstein for illustrating the concepts in this course is available for the three most common personal computer platforms (Windows, Macintosh OSX, and Linux). The program is free and the both source and compiled code are available at:

    http://www.signalshow.com

The site also has links to YouTube videos that illustrate the use and features of the program.

The DOS program from which this was developed is also available as a zipped file from the CIS FTP site:
         http://www.cis.rit.edu/people/faculty/easton/signals/signals.zip
This runs quite well in DOSBox, which is available for many platforms from http://www.dosbox.com/  (see last page of "course information" for some help)
The user manual for the DOS version of SIGNALS is available online at:  http://www.cis.rit.edu/resources/software/sig_manual/

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

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


             Homework
                   HW#1 (due W, 20 March 2013)                SS#1
                   HW#2 (due W, 27 March 2013)                SS#2
                   HW#3 (due W, 3 April 2013)                    SS#3
                   HW#4 (due W, 10 April 2013)                  SS#4
                   HW#5 (due W, 17 April 2013)                  SS#5
                   HW#6 (due W, 1 May 2013)                    SS#6  (revised 6 May 2013)


             Examinations
                

            FINAL EXAM (?)
                        
                         


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