Phase retrieval and saddle-point optimization

Abstract

Iterative algorithms with feedback are amongst the most powerful and versatile optimization methods for phase retrieval. Among these, the hybrid input-output algorithm has demonstrated practical solutions to giga-element nonlinear phase retrieval problems, escaping local minima and producing images at resolutions beyond the capabilities of lens-based optical methods. Here, the input-output iteration is improved by a lower dimensional subspace saddle-point optimization.

8 pages, 4 figures, revtex

References in corpus (5)

• Femtosecond Diffractive Imaging with a Soft-X-ray Free-Electron Laser
• X-ray image reconstruction from a diffraction pattern alone
• High-resolution ab initio three-dimensional X-ray diffraction microscopy
• Relaxed Averaged Alternating Reflections for Diffraction Imaging
• Deconstructing the energy landscape: new algorithms for folding heteropolymers

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