  Quantum teleportation, lying at the heart of a variety of quantum
technologies, has inspired a widespread of research activities, most of which
focused on 2-dimensional qubit states. Multilevel systems, qudits, promise to
upgrade and inspire new technical developments in high-dimensional Hilbert
space. Whereas, for high-dimensional teleportation, it routinely necessitates
several ancillary photons in linear optical schemes. A fundamental open
challenge remains as to whether we can teleport qudit states with bipartite
entanglement only. Here we demonstrate such a high-dimensional teleportation
using photonic orbital angular momentum (OAM). The so-called "perfect vortices"
are exploited both for conducting the prerequisite entanglement concentration
to prepare high-dimensional yet maximal OAM entanglement, and for performing
faithful high-dimensional Bell sate measurements (HDBSM) based on sum-frequency
generation. We experimentally achieve the average teleportation fidelity
0.8788$\pm$0.048 for a complete set of 3-dimensional mutually unbiased bases,
for instance, conditional on three specific HDBSM results. More importantly, we
succeed in realizing the first quantum teleportation of optical images by
exploring full transverse spatial entanglement. From the multi-pixel field of
view in the teleported images recorded by the ICCD camera, we estimate the
effective channel capacity up to \k{appa} > 100. Our scheme holds promise for
future high-volume quantum image transmission.
