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Phase retrieval by iterated projections.
- V. Elser
- PhysicsJournal of the Optical Society of America. A…
- 7 November 2001
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.
Biological imaging by soft x-ray diffraction microscopy
- D. Shapiro, P. Thibault, D. Sayre
- BiologyProceedings of the National Academy of Sciences…
- 11 October 2005
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.
Searching with iterated maps
- V. Elser, I. Rankenburg, P. Thibault
- Computer ScienceProceedings of the National Academy of Sciences
- 9 January 2007
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.
Fixed-Point Algorithms for Inverse Problems in Science and Engineering
- Heinz H. Bauschke, R. Burachik, P. L. Combettes, V. Elser, D. R. Luke, Henry Wolkowicz
- MathematicsSpringer Optimization and Its Applications
- 1 June 2011
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.
Sloppy-model universality class and the Vandermonde matrix.
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.
Reconstruction algorithm for single-particle diffraction imaging experiments.
The relatively transparent scaling behavior of the EMC algorithm provides an estimate of the data processing resources required for future single-particle imaging experiments.
Time-resolved protein nanocrystallography using an X-ray free-electron laser
The first time-resolved femtosecond serial X-ray crystallography results from an irreversible photo-chemical reaction at the Linac Coherent Light Source are obtained.
Upper Bound on the Packing Density of Regular Tetrahedra and Octahedra
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.
The linac coherent light source single particle imaging road map
This paper summarizes the workshop findings and presents the roadmap toward reaching atomic resolution, 3D imaging at free-electron laser sources.
Reconstruction of a yeast cell from X-ray diffraction data.
- P. Thibault, V. Elser, C. Jacobsen, D. Shapiro, D. Sayre
- Computer ScienceActa crystallographica. Section A, Foundations of…
- 1 July 2006
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.