12 citations · 18 across the 4 of their papers we have counts for
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Recovering missing data in coherent diffraction imaging
David Barmherzig, Alex B. Barnett, Charles L. Epstein +3
In coherent diffraction imaging (CDI) experiments, the intensity of the scattered wave impinging on an object is measured on an array of detectors. This signal can be interpreted a…
Geometry of the Phase Retrieval Problem
Alexander Barnett, Charles L. Epstein, Leslie Greengard +1
One of the most powerful approaches to imaging at the nanometer or subnanometer length scale is coherent diffraction imaging using X-ray sources. For amorphous (non-crystalline) sa…
A parallel non-uniform fast Fourier transform library based on an "exponential of semicircle" kernel
Alex H. Barnett, Jeremy F. Magland, Ludvig af Klinteberg
The nonuniform fast Fourier transform (NUFFT) generalizes the FFT to off-grid data. Its many applications include image reconstruction, data analysis, and the numerical solution of…
Discrete Inverse Scattering Theory for NMR Pulse Design
Jeremy F. Magland
We introduce a discrete analogue of the scattering theory for the Zakharov-Shabat (ZS) system, and use it to continue the work of C.L. Epstein by deriving an efficient, recursive a…