Accessing a program started in another term

[Colin Ingram <synergizedmusic@gmail.com>]

Lets say, I'm at work and I start a remote session for an interactive 
program, like octave.  Then I go home with and my remote terminal 
session and the octave program are still running at work.  Is there a 
way for me to take control of that terminal and interact with the 
running octave program?  I use octave as an example but I'm looking for 
solution (if it exists) that would be generally applicable.

Colin