Removing connecting pixel from corner-touching objects.

I have a binary array that has thousands of irregularly shaped objects in it. Occasionally, the corners of two objects touch. How can remove that pixel so that this one object becomes 2 objects? I know i can erode all objects but that affects the area of the objects, which is important to me.

0 0 0 0 0 1 1 1 1 1 1

0 0 0 0 0 1 1 1 1 0 0

1 1 1 1 1 0 0 0 0 0 0

1 1 1 1 1 0 0 0 0 0 0

Answer 1

[Image Analyst]

If you use four connected processing, it won't be touching. Look for that in the input. Most of the functions (e.g. bwlabel) assume 8-connected but will let you specify.