Phase retrieval from noisy data based on sparse approximation of object phase and amplitude

Understand

A variational approach to reconstruction of phase and amplitude of a complex-valued object from Poissonian intensity observations is developed.

• The observation model corresponds to the typical optical setups with a phase modulation of wavefronts.
• The transform domain sparsity is applied for the amplitude and phase modeling.
• It is demonstrated that this modeling results in the essential advantage of the developed algorithm for heavily noisy observations corresponding to a short exposure time in optical experiments.