  Controlling the propagation and polarization vectors in linear and nonlinear
optical spectroscopy enables to probe the anisotropy of optical responses
providing structural symmetry selective contrast in optical imaging. Here we
present a novel tilted antenna-tip approach to control the optical vector-field
by breaking the axial symmetry of the nano-probe in tip-enhanced near-field
microscopy. This gives rise to a localized plasmonic antenna effect with
significantly enhanced optical field vectors with control of both
\textit{in-plane} and \textit{out-of-plane} components. We use the resulting
vector-field specificity in the symmetry selective nonlinear optical response
of second-harmonic generation (SHG) for a generalized approach to optical
nano-crystallography and -imaging. In tip-enhanced SHG imaging of monolayer
MoS$_2$ films and single-crystalline ferroelectric YMnO$_3$, we reveal
nano-crystallographic details of domain boundaries and domain topology with
enhanced sensitivity and nanoscale spatial resolution. The approach is
applicable to any anisotropic linear and nonlinear optical response, and
provides for optical nano-crystallographic imaging of molecular or quantum
materials.
