  We establish an $\varepsilon$-regularity result for the derivative of a map
of bounded variation that minimizes a strongly quasiconvex variational integral
of linear growth, and, as a consequence, the partial regularity of such BV
minimizers. This result extends the regularity theory for minimizers of
quasiconvex integrals on Sobolev spaces to the context of maps of bounded
variation. Previous partial regularity results for BV minimizers in the linear
growth set-up were confined to the convex situation.
