Several strategies in phase retrieval are unified by an iterative "difference map" constructed from a pair of elementary projections and three real parameters, which illuminates the distinction between its fixed points and the recovered object.Expand

This work represents a previously uncharacterized application of x-ray diffraction microscopy to a specimen of this complexity and provides confidence in the feasibility of the ultimate goal of imaging biological specimens at 10-nm resolution in three dimensions.Expand

We introduce the EMC algorithm for reconstructing a particle's three-dimensional (3D) diffraction intensity from very many photon shot-noise limited two-dimensional measurements, when the particle… Expand

It is shown here that the scope of these algorithms is surprisingly broad, with applications as diverse as protein folding and Sudoku, as an alternative to tree-based and stochastic searching.Expand

The material presented provides a survey of the state-of-the-art theory and practice in fixed-point algorithms, identifying emerging problems driven by applications, and discussing new approaches for solving these problems.Expand

It is observed that the eigenvalue spectra for the sensitivity of sloppy models have a striking, characteristic form with a density of logarithms of eigenvalues which is roughly constant over a large range.Expand

The relatively transparent scaling behavior of the EMC algorithm provides an estimate of the data processing resources required for future single-particle imaging experiments.Expand

The existence, in any packing of regular tetrahedra, of a set of disjoint spheres centered on tetrahedral edges, so that each sphere is not fully covered by the packing, is shown.Expand

This ptychographic reconstruction improves the image contrast of single-atom defects in MoS2 substantially, reaching an information limit close to 5α, which corresponds to an Abbe diffraction-limited resolution of 0.39 ångström.Expand

Acta crystallographica. Section A, Foundations of…

1 July 2006

TLDR

Two refinements of the iterative constraint-based scheme are developed to address the current experimental realities of this imaging technique, which include missing central data and noise.Expand