  This paper is about conic intrinsic volumes and their associated integral
geometry. We pay special attention to the biconic localizations of the conic
intrinsic volumes, the so-called support measures. An analysis of these
quantities has so far been confined to the PhD thesis of Stefan Glasauer
(1995). We rederive the results from this thesis with novel streamlined proofs
and expand them in several ways. Additionally, we introduce a new class of
functionals on polyhedral cones lying between the intrinsic volumes and the
well-studied f-vector, which counts the equidimensional faces of a cone, and
derive a characterization and kinematic formulas for these functionals as well.
