Relaxed Averaged Alternating Reflections for Diffraction Imaging
Optimization and Control
2009-11-10 v1 Mathematical Physics
math.MP
Optics
Abstract
We report on progress in algorithms for iterative phase retrieval. The theory of convex optimization is used to develop and to gain insight into counterparts for the nonconvex problem of phase retrieval. We propose a relaxation of averaged alternating reflectors and determine the fixed point set of the related operator in the convex case. A numerical study supports our theoretical observations and demonstrates the effectiveness of the algorithm compared to the current state of the art.
Cite
@article{arxiv.math/0405208,
title = {Relaxed Averaged Alternating Reflections for Diffraction Imaging},
author = {D. Russell Luke},
journal= {arXiv preprint arXiv:math/0405208},
year = {2009}
}
Comments
13 pages, 19 figures