Hi David,
To add on to your question, I'm still trying to understand why it is happening. I've got the same TV set (Toshiba 15V330DB) and the same problem. It started about ten days ago. The picture disappears right away and in my case it doesn't stay on anymore even after switching the TV set on and off several times.
If I find out the answer to this problem, I'll let you know.
Pazza, October 2010