Identify double occurrence of directory names
 

Dear All,
I am looking for a shell command that will identify all directories, each of which having the same name as one of its subdirectory.
For example:
or
Thanks

find <root> -type d | grep -E '(/[^/]+)(/.+)?\1(\/|$)'
works for me, but probably not perfect

Thanks,
and how can I filter from these results directories with certain patterns such as
dir1/dir2/dir3/mydir/mydir/ (the name starts with 'myd'
Thanks again