  We establish partial regularity for the $\omega$-minimizers of quasiconvex
functionals of power growth. A first-order partial regularity result of $BV$
$\omega$-minimizers is obtained in the linear growth case under a Dini-type
condition on $\omega$. Only assuming the smallness of $\omega$ near the origin,
we show partial H\"{o}lder continuity in the subquadratic case by considering a
normalised excess.
