Your computer is noticeable - I could ping you or probe you.
But all that is doing is saying "I am here" nothing else.
And if you have your firewalls well set you won't even get that.
So, if you have ADSL and are always on but all you are doing is looking at images then, no, no-one will know what you are doing.
That said!
A lot of people do not have their systems well protected so it could be very easy for someone to have a program installed that could let them see what you are doing and what is on your system.
If you are doing anything, I meant anything, that could get you sent down and your name on some sort of register - unplug your PC from the net or turn your modem off.
I don't care if people think I'm too paranoid - it takes 10 sec to unplug your system and 10 sec to plug it back in again - sure beats 2+ years sitting next to Bubba who thinks you have pretty eyes.
Also, keep everything you don't want anyone else to see on an encrypted disk. Again, better safe than sorry.