The Unity desktop in Ubuntu is very slow over VNC for some reason. So, the first step is to switch to Xfce or xubuntu desktop. Also installed x11vnc while at it.

sudo apt-get install xubuntu-desktop x11vnc

For security, it better not to run VNC server all the time, but rather start it when needed. This can be accomplished by the following command at the terminal from the home computer (Macbook):

ssh -t -L 5900:localhost:5900 remote-host 'x11vnc -localhost -display :0

Where remote-host is the work PC. The above command starts x11vnc in the work PC and forwards the port to the home machine. One can now connect to it by typing in another terminal,

open vnc://localhost

It is advisable to create a VNC password for the server in the remote-host for added security. Refer to x11vnc web or man page for instructions. The above command will stop the server once the client exists, or -forever can be used to keep it alive. Then it will need to be stopped by CTRL-c.

Unfortunately, this method works only if the remote-host is logged in. When at the lock-screen in Ubuntu, the virtual terminal runs at display :1 (rather than at :0), so the x11vnc will have to be started with arguments -auth /var/run/lightdm/root/:1. But after unlocking the session, the VT falls back to :0, so x11vnc needs to be restarted with default VT. To work around this problem, I wrote the following script:

#!/bin/bash
vncpa=$HOME/.vnc/passwd
vtpath=/var/run/lightdm/root
vtuser=:0
vtlock=:1
while [ -e "$vtpath/$vtlock" ]; do
   echo "screen locked"
   x11vnc -localhost -rfbauth $vncpa -display $vtlock -auth $vtpath/$vtlock
   sleep 2
done
echo "screen unlocked"
x11vnc -localhost -rfbauth $vncpa -nevershared -forever -display $vtuser -auth $vtpath/$vtuser

Saved it as ~/bin/x11run and made it executable. Note that, access to the folder /var/run/lighdtm requires root privileges, so this script has to be run with sudo. So, to establish the tunnel, start the server and client in a single script, I use the ever-useful expect with ssh.

#!/bin/bash
echo -n "ID: "; read paD
sleep 5 && open vnc://localhost &
/usr/bin/expect << EOF
set timeout 120
spawn ssh -L 5900:localhost:5900 remote-host

expect "remote-host:~$ "
send "sudo ~/bin/x11run\r"

expect "*for user: "
send "$paD\r"

expect eof
interact
EOF

With appropriate modifications to those marked in red, it should work!