Determining Intersection Points in Images

I have two images and they intersect at one point, but the in two different locations. For example, all though the images intersect at one point, for the first image it could be in column 2 but in the second image, it could be column 98. I am trying to determine the specific columns at points of intersection. Any suggestions on how to approach it? Thanks in advance

The images attached intersect at one location.

[r c] = size(img1) %both images of same size
for x = 1:c
  distance = abs(img1(:,c) - img2(:,c))
  if(distance == 0)
        print x
  end
end

[Image Analyst]

Exactly what is intersecting in those images?

[J Parker]

The images intersect each other at some point.