< prev | up | next >

PDF logo Phase retrieval with polarization

by Boris Alexeev, Afonso S. Bandeira, Matthew Fickus, and Dustin Mixon

Abstract

In many areas of imaging science, it is difficult to measure the phase of linear measurements. As such, one often wishes to reconstruct a signal from intensity measurements, that is, perform phase retrieval. In this paper, we provide a novel measurement design which is inspired by interferometry and exploits certain properties of expander graphs. We also give an efficient phase retrieval procedure, and use recent results in spectral graph theory to produce a stable performance guarantee that rivals the state of the art.

Approximate citation

Boris Alexeev, Afonso S. Bandeira, Matthew Fickus, and Dustin Mixon
Phase retrieval with polarization
SIAM Journal on Imaging Sciences 7 (2014), no. 1, 35–66.

Useful links

PDF logoDirect PDF link
Journal icon Published journal version
DOI icon Persistent document object identifier (DOI)
arXiv icon arXiv online preprint server version
Google Scholar icon Google Scholar entry
BiBTeX icon Individual BiBTex entry
< prev | up | next >