Find Google+ avatar for given email address without OAuth
In my app I want to show the Google+ profile picture for a user. The only function, I found, in the API to get the profile picture needs a userId. However, I only have their email adress and not their Google+ userID. Moreover the person, whose image I want to get, should not be forced to log in and authorize my app, as this person is mostly not identical to the user of the app. So I think I need to get their userId by email. I read through the Google+ API documentation but can't find a way to do this, but I can't believe that this is not possible. So my question is: How can I get the Google+