I'm building a frameless cabinet and am trying to find some hinges
that'll work with the way I have the doors layed out.

The cabinet is done in 3/4" plywood. The front opening will have a
permanently mounted shelf, and there will be a door for each opening
(top and bottom). The doors will be mounted on the front (not flush
with the openings) Both doors will swing open vertically - either
opening upwards or downwards, with a stay of some sort. There will be a
small gap (probably 1/16") between them and the top door will have a
"lip" (the overhanging cabinet top) just above it.

Because the doors are so close together, the problem with most hinges
is that opening the top door will cause the edge of the door (that is
attached to the hinge) to hit either the bottom door (if the door opens
downward), or the overhanging cabinet top (if it opens upward), as the
door follows the radius of the hinge.

I was wondering if there are any special hinges that will swing open
without having the inner edge of the door protrude as it is opened.
Perhaps some double-jointed european hinge that keeps the radius of the
door edge at zero?

Thanks