I am looking for a reference for this question: given a branched surface in a 3-manifold, how we can construct a lamination fully carried by that branched surface.
any comments would be appreciated.


edit: maybe I should be more specific. I'm reading D.Gabai's paper "foliations and topology of 3-manifolds III" where he constructs finite depth laminations carried by branched surfaces as part of construction of finite depth foliations (the branched surfaces themselves are constructed using a sutured manifold decomposition), so branched surfaces don't seem to be weighted. 



laminations and branched surfaces
Tao Li <https://www2.bc.edu/~taoli/lbs.pdf> constructs an essential lamination for each branched surface satisfying the following conditions:


(1) Its horizontal boundary is incompressible; (2) there is no monogon; (3) there is no Reeb component; (4) there is no sink disk (after eliminating trivial bubbles in the branched surface).


The conditions are necessary except for laminations by planes.


