A playground for looking at Fourier phase retrieval (from an observation of the squared norm of a Fourier transform) in microscopy applications.
- David W. Hogg (SCDA) (NYU) (MPIA)
This project is heavily influenced by discussions with
- Charlie Epstein (Penn)
- Leslie Greengard (SCDA) (NYU)
- Jeremy Magland (SCDA)
Copyright 2015 David W. Hogg.
Any code in this repository is licensed for use and re-use
under the open-source MIT License.
See the file LICENSE
for more details.
- The problem of inferring the phase of a Fourier transform (of, say, an image) from an observation of the squared-norm of that Fourier transform comes up in problems of x-ray diffraction and diffraction microscopy. In principle it also might arise in adaptive optics.
- The problem is analogous to (or identical to, in some sense) inferring a function from an observation of its auto-correlation.
- We will concentrate on methods that involve either explicit optimization of a justified objective function or else some kind of probabilistic inference.