Peter Lorre, Steve Buscemi, or Gollum?

This looks more like Steve Buscemi than I wanted.  Lorre looked very different from movie to movie and year to year. But he always has a sensitive vulnerable quality that was unnerving and kind of implied the cruelty of his characters came from hidden hurts.   I don't know what his private life was like but everyone who worked with him said he was a lovely man just like Steve Buscemi. Anyway I don't think I did Lorre justice here. 

This looks more like Gollum to me and maybe Lorre inspired some of the character design? Anybody know?