  We propose and experimentally demonstrate a quantum state tomography protocol
that generalizes the Wallentowitz-Vogel-Banaszek-W\'odkiewicz point-by-point
Wigner function reconstruction. The full density operator of an arbitrary
quantum state is efficiently reconstructed in the Fock basis, using
semidefinite programming, after interference with a small set of calibrated
coherent states. This new protocol is resource- and computationally efficient,
is robust against noise, does not rely on approximate state displacements, and
ensures the physicality of results.
