Phase Retrieval with Application to Optical Imaging
  This review article provides a contemporary overview of phase retrieval in optical imaging, linking the relevant optical physics to the information processing methods and algorithms. Its purpose is to describe the current state of the art in this area, identify challenges, and suggest vision and areas where signal processing methods can have a large impact on optical imaging and on the world of imaging at large, with applications in a variety of fields ranging from biology and chemistry to physics and engineering. 
Yoav Shechtman, Yonina C. Eldar, Oren Cohen, Henry N. Chapman, Jianwei   Miao and Mordechai Segev
cs.IT math.IT