In the interests of avoiding complications due to lighting variation,
one may wish to employ the edge map in the neighbourhood of candidate
landmarks, rather than the local intensity distribution.  That is,
apart from the initial task of detecting landmark candidates, we
substitute the edge map of an image in place of its intensity map
whenever an intensity distribution is called for in the method.
Figure 6.7 demonstrates the results of applying this
technique to the Scene 1, for 
 and
.  The mean error in pose is 0.56cm.
  
Figure 6.7: Estimation
  results for edge-based estimation.  The plot depicts the set of pose
  estimates for the twenty test cases in Scene I with 
  and 
. The mean error is 0.56cm
While Figure 6.7 indicates that the method works
marginally well for pose estimation, particularly along the x axis,
performing purely appearance-based (
) pose estimation using
the edge distribution fares much worse, as shown in
Figure 6.8.  Our hypothesis is that
instabilities and low-intensity noise
 in the edge distribution compromise our assumption of local
linearity.  Furthermore, we are employing linear analysis to
reconstruct the output of a highly non-linear operator.
  
Figure 6.8: Estimation results for edge-based estimation using only
  appearance.  The plot depicts the set of pose estimates for the
  twenty test cases in Scene I with 
 and
  
. The mean error is 2.0cm