3 papers
math.NA2020
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…
math.NA2018
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…
math.NA2018
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…