But how is the curve of the lens controlled? Is it some sort of surface tension guided by the edge height of the enclosing ring?
this is me thinking in terms of "what things about an inflatable structure change how spherical it becomes, when inflated" and adding in "what does it do to optics"
not an optician, a physicist or an inflatable toy clown.
Presumably that's the purpose of the heat-curing process described in their paper, as UV won't be able to penetrate arbitrarily deep into the polymer.