Can I re-login a disconnected session?

For some network reasons, my previous SSH sessions to server have disconnected. When I create a new session, I find the previous session still exist:

[root@localhost ~]# who
root     pts/0        2015-03-25 21:35 (10.1.1.1)
root     pts/1        2015-03-25 21:36 (10.1.1.1)
root     pts/2        2015-03-26 01:44 (10.1.1.1)

The pts/0 and pts/1 are previous session terminals. And there are still some progresses running on them, such as vim:

root      2953  2906  0 Mar25 pts/0    00:00:01 vim getpasswd.sh

I want to re-login pts/0 to continue running vim progress, Is it possible? How can I do it?