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off-centre Vignette correction

Posted by Thomas Elliot on Dec 07, 2007; 4:18pm
URL: http://imagej.273.s1.nabble.com/k-means-Clustering-tp3697801p3697802.html

Greetings List, here is an issue that has so far resisted our attempts...

Executive Summary:
Can anyone suggest an approach to deal with a vignetting effect that  
does not begin from the optical center of the image?


Details of the experiment

* All figures referred to here can be seen at http://www.uoguelph.ca/~gyoung02

Background
  Aerial imagery from a tethered helium blimp is used to assess  
nitrogen status of specific horticultural crops.  Images are captured  
using  Kodak DCS-460 and -460c digital cameras from a height of  
approximately  350 feet (107 m).  The images are stored in Kodak's  
proprietary format and imported using proprietary software.  While the  
system has been used in a number of scientific and industrial  
applications, it was obviously intended for photojournalism or  
portrait photography purposes.  This can cause problems when  
quantitative measures of radiance are required.  Aside from the issue  
of non-direct measures of red, green, and blue wavelengths caused by  
the use of a single CCD array (with RGB filters applied in the Bayer  
pattern), there is the more important (I think) issue of vignetting  
effects caused by the geometry of camera system.  A vignette is where  
the intensity (brightness) falls off from the image center, causing  
the edges (and corners especially) to appear darker.  This effect  
becomes most apparent when applying a linear contrast stretch to the  
imagery (Figure 1 at the webpage above).

Research Question
   The differences in radiance between regions of interest within the  
imagery are used to determine if a significant change exists.

Problem
   The presence of vignetting effects may introduce trends that are  
completely independent of the processes under study.  It is therefore  
important that these effects be quantified and removed if possible.
   This can be achieved through a knowledge of the camera response  
model and the radial distortion parameters of the lens.  If this  
information is unavailable (as in my case), various algorithms have  
been developed which can identify the appropriate functions and use  
them to remove vignetting.
   One such algorithm was applied to Figure 1, the result of which can  
be seen in Figure 2.  As you can see, the algorithm has done a fairly  
good job of removing vignetting, but if you look closely you will  
notice a trend, from left to right across the image, where systematic  
brightening seems to be occurring.  This effect is the result of the  
model's assumption that vignetting occurs radially from the optical  
center of the image.  However, by examining an image of a barium  
sulphate test panel taken with the near infrared camera (Figure 3) it  
can be seen the the vignette effect is not centered.  It still appears  
to be radial, but with the optical center being shifted from where it  
should be.  I hypothesize that this effect is due to a misalignment  
between the lens apparatus and CCD chip in the camera body.

The REAL Question
   So my question is, can anyone suggest an approach to deal with a  
vignetting effect that does not begin from the optical center of the  
image?


Regards,

Tom Elliot