1051-716 --FOURIER METHODS for IMAGING

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

Meeting Room/Time:
    Quarter 20071: MW, 2:00PM - 4:00PM, Room 76-1155

    Course Information (PDF)

    Course Syllabus (PDF)

     Bibliography (PDF)


Handouts:   (pdf  format)
   01 -- Introduction                                      (1.4 MBytes)
    02 -- Complex Numbers and Functions     (0.25 MBytes) 
    03 -- Classification of Functions                (0.26 MBytes)
    04 -- 1-D Special Functions                      (0.91 MBytes)
    05 -- Stochastic Functions                         (0.30 MBytes)  (Supplemental Material) 
    06 -- 2-D Functions                                  (2.63 MBytes) 
    07 -- Linear Operations                            (0.53 MBytes)


Homework:  (pdf)                                       Solutions:

    01 -- due 9/12/2007 (W)                             SS1
    02 -- due 10/05/2007 (F)                             02   
    03 -- due 10/10/2007 (W)                            03
    04 -- due 10/29/2007 (M)                            04
    05 -- due 11/9/2007 (F)

 

Exams:                                                       Solutions:
   Midterm Wednesday 17 October 2007


"AdobeConnect" Sessions (Formerly "Breeze")

For best results, videos should be downloaded and played locally. You will need QuickTime, which may be downloaded from http://www.apple.com/quicktime/download/

Date Realtime Logon (2PM - 4PM East)
Recorded Archive
Subject
3 Sept 2007 (M)
https://connect.rit.edu/r32135540/ https://connect.rit.edu/p96642991/ Notes Chapter 1, some mention of Chapter 2
5 Sept 2007 (W) https://connect.rit.edu/r50157342/ https://connect.rit.edu/p24289488/
Complex numbers and functions, begin special functions
10 Sept 2007 (M)
https://connect.rit.edu/r91097169/ https://connect.rit.edu/p30581584/ 1-D special functions, up to Dirac delta function
12 Sept 2007 (W)
https://connect.rit.edu/r62794805/
recording failed, use notes as listed
§6.1.11, §6.1.12, §6.1.15, §6.1.16, §6.2 up to §6.2.1
19 Sept 2006 (W)
Optional Problem Session

Derek's Notes
24 Sept 2007 (M)
https://connect.rit.edu/r41943652/
https://connect.rit.edu/p24372361/
discrete convolution
26 Sept 2007 (W)
https://connect.rit.edu/r63733967/
https://connect.rit.edu/p53512945/
Finish 1-D special functions, start 2-D
28 Sept 2007 (F)
https://connect.rit.edu/r49452539/ (2:30PM-4:30PM) https://connect.rit.edu/p58685792/
Begin convolution (§8.1 - §8.4)
(QuickTime Video 390 MB)
1 Oct 2007 (M)
https://connect.rit.edu/r42498906/
https://connect.rit.edu/p77378127/
Convolution, (QuickTime Video 390 MB)
3 Oct 2007 (W)
https://connect.rit.edu/r45064896/
https://connect.rit.edu/p49705360/
Auto- and crosscorrelation (QuickTime 385 MB)
5 Oct 2007 (F)
https://connect.rit.edu/r74807870/
https://connect.rit.edu/p82054328/
Fourier Transform I (QuickTime 440 MB)
8 Oct 2007 (M)
https://connect.rit.edu/r48685724/
https://connect.rit.edu/p81719027/
Fourier Transform II (Hr 1 128 MB)(Hr 2 105 MB)
10 Oct 2007 (W)
https://connect.rit.edu/r53346190/
https://connect.rit.edu/p40173941/
Theorems of FT  (QT video 400MB)
12 Oct 2007 (F)
Problem Session 9-11AM


15 Oct 2007 (M)
https://connect.rit.edu/r38543778/
https://connect.rit.edu/p12072529/
Theorems of FT (QT video 380MB)
22 Oct 2007 (M)
https://connect.rit.edu/r71583747/
https://connect.rit.edu/p42169805/

24 Oct 2007 (W)
https://connect.rit.edu/r24554243/
https://connect.rit.edu/p43526140/
QT video 480 MB
29 Oct 2007 (M)
https://connect.rit.edu/r90521840/
https://connect.rit.edu/p42056459/
Finish 2-D FT, begin filtering (QT video 333 MB)
31 Oct 2007 (W)
https://connect.rit.edu/r47856573/
recording failed, see notes
Filtering of samples, lowpass filtering (QT 347 MB)
5 Nov 2007 (M)
https://connect.rit.edu/r69114898/
https://connect.rit.edu/p80926079/
Highpass, bandpass,  and sharpening filters
7 Nov 2007 (W)
https://connect.rit.edu/r31101097/
https://connect.rit.edu/p99193639/
Allpass (phase) filters, Schlieren imaging (QT 300 MB)
8 Nov 2007 (Th)
https://connect.rit.edu/r35761563/
https://connect.rit.edu/p57688488/
Inverse, matched, Wiener filters (QT 300 MB)