Fast Phase Retrieval from Deterministic Measurements in Two Dimensions
Presenter
August 17, 2017
Keywords:
- Phase Retrieval, Local Measurements, Two Dimensional Imaging, Ptychography, Fast Algo- rithms
Abstract
The phase retrieval problem has appeared in a multitude of applications for decades. While ad hoc solutions have existed since the early 1970s, recent developments have provided algorithms that offer promising theoretical guarantees under increasingly realistic assumptions. Motivated by ptychographic imaging, we generalize a recent result on phase retrieval of a one dimensional signal to recover a two dimensional image from phaseless measurements, using a tensor product formulation to extend the previous work.