Invited Article: A unified evaluation of iterative projection algorithms for phase retrieval

2006/03/31 by Stefano Marchesini, S. Marchesini · 2 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Advanced Electron Microscopy Techniques and Applications #Advanced X-ray Imaging Techniques #Optical measurement and interference techniques #math.OC #physics.optics

paper · pdf · doi:10.1063/1.2403783

published as Review of Scientific Instruments 78, 011301 (2007) · 12 pages, 9 figures, revtex

arxiv created 2006/12/22 · openalex publication_date 2007/01/01 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/29

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 transferred from the lenses to the algorithms. We evaluate these new computational "instruments" developed for the phase-retrieval problem, and discuss acceleration strategies.

Citations

• X-ray image reconstruction from a diffraction pattern alone
• Function minimization by conjugate gradients
• SPEDEN: reconstructing single particles from their diffraction patterns

Cited by

• Quantum Phase Extraction in Isospectral Electronic Nanostructures
• The charge-flipping algorithm in crystallography