  This work presents a new proof of the recent characterization theorem for
generalized Young measures generated by sequences in BV by Kristensen and the
author [Arch. Ration. Mech. Anal. 197 (2010), 539-598]. The present argument is
based on a localization technique together with a local Hahn-Banach argument in
novel function spaces combined with an application of Alberti's Rank-One
Theorem. This strategy avoids employing a relaxation theorem as in the
previously known proof, and the new tools introduced in its course should prove
useful in other contexts as well. In particular, we introduce homogeneous Young
measures, separately at regular and singular points, which exhibit rather
different behaviour than the classical homogeneous Young measures. As an
application, we show how for BV-Young measures with an atomic part one can find
a generating sequence respecting this structure.
