  Methods and techniques to measure and image beyond the state-of-the-art have
always been influential in propelling basic science and technology. Because
current technologies are venturing into nanoscopic and molecular-scale
fabrication, atomic-scale measurement techniques are inevitable. One such
emerging sensing method uses the spins associated with nitrogen-vacancy (NV)
defects in diamond. The uniqueness of this NV sensor is its atomic size and
ability to perform precision sensing under ambient conditions conveniently
using light and microwaves (MW). These advantages have unique applications in
nanoscale sensing and imaging of magnetic fields from nuclear spins in single
biomolecules. During the last few years, several encouraging results have
emerged towards the realization of an NV spin-based molecular structure
microscope. Here, we present a projection-reconstruction method that retrieves
the three-dimensional structure of a single molecule from the nuclear spin
noise signatures. We validate this method using numerical simulations and
reconstruct the structure of a molecular phantom \b{eta}-cyclodextrin,
revealing the characteristic toroidal shape.
