  Light-based additive manufacturing techniques enable a rapid transition from
object design to production. In these approaches, a 3D object is typically
built by successive polymerization of 2D layers in a photocurable resin. A
recently demonstrated technique, however, uses tomographic dose patterning to
establish a 3D light dose distribution within a cylindrical glass vial of
photoresin. Lensing distortion from the cylindrical vial is currently mitigated
by either an index matching bath around the print volume or a cylindrical lens.
In this work, we show that these hardware approaches to distortion correction
are unnecessary. Instead, we demonstrate how the lensing effect can be
computationally corrected by resampling the parallel-beam radon transform into
an aberrated geometry. We also demonstrate a more general application of our
computational approach by correcting for non-telecentricity inherent in most
optical projection systems. We expect that our results will underpin a more
simple and flexible class of tomographic 3D printers where deviations from the
assumed parallel-beam projection geometry are rectified computationally.
