  Unsegmented, large-volume liquid scintillator (LS) neutrino detectors have
proven to be a key technology for low-energy neutrino physics. The efficient
rejection of radionuclide background induced by cosmic muon interactions is of
paramount importance for their success in high-precision MeV neutrino
measurements. We present a novel technique to reconstruct GeV particle tracks
in LS, whose main property, the resolution of topological features and changes
in the differential energy loss $\mathrm{d}E/\mathrm{d}x$, allows for improved
rejection strategies. Different to common track reconstruction approaches, our
method does not rely on concrete track / topology hypotheses. Instead, based on
a reference point in space and time, the observed distribution of photon
arrival times at the photosensors and the detector's characteristics in terms
of photon production, propagation and detection (optical model), it
reconstructs the voxelized distribution of optical photon emissions. Techniques
from three-dimensional data analysis can then be applied to extract parameters
describing the topology, e.g., the direction of a track. We performed a first
performance evaluation of our method using single muon events with up to
$10\,\mathrm{GeV}$ from a Geant4 simulation of the LENA detector. The current
results indicate that our approach is competitive with existing reconstruction
methods -- although its full potential has not yet been exploited. We also
remark on other detector technologies in astroparticle physics as well as
applications in medical imaging that could benefit from the fundamental ideas
of our method.
