You can choose to imagine them, but I think it ought to be pretty apparent (at least in most situations) whether you are perceiving something that is "out there" beyond you, or whether you have chosen to summon the image from memory or from a new construct.
See, that's my sticking point here in reference to the gods. No one has ever seen a god and yet Epicurus says we have an image of them?
PS...
Has anyone tracked down the "the gods are giant-people-shaped and speak Greek" citation?