A unified evaluation of iterative projection algorithms for phase retrieval

TL;DR

This paper evaluates various iterative projection algorithms used for phase retrieval, highlighting their effectiveness as lens substitutes for aberration-free imaging and discussing strategies to accelerate their performance.

Contribution

It provides a comprehensive evaluation of iterative algorithms for phase retrieval and explores methods to improve their computational efficiency.

Findings

Iterative projection algorithms enable lensless, diffraction-limited imaging.

Acceleration strategies can significantly improve algorithm performance.

Algorithms effectively replace optical lenses in phase retrieval applications.

Abstract

Iterative projection algorithms are successfully being used as a substitute of lenses to recombine, numerically rather than optically, light scattered by illuminated objects. Images obtained computationally allow aberration-free diffraction-limited imaging and the possibility of using radiation for which no lenses exist. The challenge of this imaging technique is transfered from the lenses to the algorithms. We evaluate these new computational ``instruments'' developed for the phase retrieval problem, and discuss acceleration strategies.