How can I segment and label edges in a binary matrix?

I have a binary matrix that contains a polygon with different edges and vertices. Edges are false, non-edges are true. I would like to detect the edges of the polygon (i.e. lines with different orientations) like this:

The aim would be to get an output Matrix, the same size as my input one, where the edge values are labelled according to which edge they correspond to.

I have looked through Matlab's segmentation and edge detection functions but can't seem to find anything that does this.

Thanks for any help.

[Arnav]

Duplicate:

https://www.mathworks.com/matlabcentral/answers/2154325-how-can-i-segment-and-label-edges-in-a-binary-matrix?s_tid=answers_rc1-2_p2_MLT