  We consider the imaging problem of the reconstruction of a three-dimensional
object via optical diffraction tomography under the assumptions of the Born
approximation. Our focus lies in the situation that a rigid object performs an
irregular, time-dependent rotation under acoustical or optical forces. In this
study, we compare reconstruction algorithms in case i) that two-dimensional
images of the complex-valued wave are known, or ii) that only the intensity
(absolute value) of these images can be measured, which is the case in many
practical setups. The latter phase-retrieval problem can be solved by an
all-at-once approach based utilizing a hybrid input-output scheme with TV
regularization.
