  Dielectric tensor tomography reconstructs the three-dimensional dielectric
tensors of microscopic objects and provides information about the crystalline
structure orientations and principal refractive indices. Because dielectric
tensor tomography is based on transmission measurement, it suffers from the
missing cone problem, which causes poor axial resolution, underestimation of
the refractive index, and halo artifacts. In this study, we present the
generalization of total variation regularization to three-dimensional tensor
distributions. In particular, demonstrate the reduction of artifacts when
applied to dielectric tensor tomography.
