  We present a calculation of the electromagnetic form factors of the $\rho^+$
meson. Our formalism is based on the point-form of relativistic quantum
mechanics. Electron-$\rho$-meson scattering is formulated as a coupled-channel
problem for a Bakamjian-Thomas mass operator, such that the dynamics of the
exchanged photon is taken explicitly into account. The $\rho$-meson current is
extracted from on-shell matrix elements of the optical potential of the
scattering process. As a consequence of the violation of cluster separability
in the Bakamjian-Thomas framework, our current includes additional, unphysical
contributions, which can be separated from the physical ones uniquely. Our
results for the form factors are in good agreement with other approaches.
