Image Processing: Remove double edges

Is there a way to remove edges that appear twice in an image?

For example, for some edges, the 1D neighbourhood may look like:

   1 0 1

where the 1's represent the edges. Is there a way to remove the right-hand edge when this happens so that I am left with simply:

   1 0 0

Perhaps a convolution of some sort would work, but I am unsure how to do this in MATLAB...

Thanks for your help!

Answer 1

[Jonas Reber]

you could take another derivative (2nd) and only keep the positive values

1 0 1 => 0 -1 1 (depenting on the direction you are coming from)