Can I delete a pic from my library from an album?

I am now working in the new Photos version of iPhoto, which has a different convention.

When you delete a pic from the library it deletes it from all the albums. I would like to do the reverse. Now that I have all my pics on a particular subject in a named album, I would like to work in that album, deleting unwanted pics completely, not just in the album, but from the library as well. Is that possible?