1051-718 -- DIGITAL IMAGING MATHEMATICS
Quarter 20112

This course introduces the mathematical formalism for describing imaging systems, with emphasis on systems whose response has been constrained to be linear in dynamic range and which also does not depend on spatial location in the scene. In other words, the course develops mathematical models of imaging systems and applies them to problems relevant to imaging.

Roger L. Easton, Jr., rlepci@rit.edu, Office 76-2112, Phone 585-475-5969, FAX 585-475-5988

Office Hours: MTTh, 4-5, F 2-3

Easton Schedule 20112 (pdf)

Meeting Room/Time:
    Quarter 20112: MW, 2PM - 3:50PM, Room 76-2155

    Course Information (PDF)

   Course Syllabus (PDF)


Handouts:   (pdf  format)  

Course Notes on Digital Image Processing (2012-01-22, 16 MBytes)

Course Notes on Digital Image Processing (2012-01-25, 20 MBytes), (includes discussion of covariance and bilateral filtering)

Course Notes on Digital Image Processing (2012-01-29, 21 MBytes), (includes revised discussion of covariance and principal component analysis)

Course Notes on Digital Image Processing (2012-02-01, 21 MBytes), (minor changes -- few sentences on PCA and typo corrections)

Course Notes on Digital Image Processing (2012-02-13, 21 MBytes), (revised 8:30PM 2/13/2012, corrections to discussion of median filter plus some new examples)

Course Notes on Digital Image Processing (2012-02-15, 21.5 MBytes), (examples of Walsh-Hadamard transform, discussion of Radon transform)

Course Notes on Digital Image Processing (2012-02-22, 22.8 MBytes), (discrete computations in optics, section 8.5)


Software Resources

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/
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:  (pdf)                                                                                  Solutions:

      HW1 (due M 5 December 2011)                                                        Solution Set 1
      HW2 (due W 14 December 2011)                                                      Solution Set 2
      HW3 (due W 18 January 2012)                                                          Solution Set 3
      HW4 (due W 1 February 2012)                                                         Solution Set 4
      HW5 (due M 13 February 2012)                                                       Solution Set 5
      HW6 (due F 24 February 2012)

Exams:                                                                                           Solutions:

    
Midterm Exam, W 18 January 2012                                                Solution Set
     Midterm Exam, W 8 February 2012                                                Solution Set (with statistics)
  

Video Recordings (QuickTime)
Week 1 Monday 11/28/2011
Wednesday 11/30/2011
Week 2 Monday 12/05/2011 Wednesday 12/07/2011
Week 3 Monday 12/12/2011 Wednesday 12/14/2011
Week 4 Monday 01/09/2012 Wednesday 01/11/2012
Week 5 Monday 01/16/2012 Midterm Exam (no video)
Week 6 Monday 01/23/2012
(including review of exam)
Wednesday 01/25/2012
Week 7 Monday 01/30/2012 Wednesday 02/01/2012
Week 8 Monday 02/06/2012 8 February 2012
Midterm Exam (no video)
Week 9 Monday 02/13/2012 Wednesday 02/15/2012
Week 10 Monday 02/20/2012 Wednesday 02/22/2012