2011/09/24 by Peter Schwander, Schwander, Peter, Chun Hong Yoon +6 · 1 citation
Computer Science · Physics and Astronomy · #Advanced X-ray Imaging Techniques #Computational Physics (physics.comp-ph) #Digital Holography and Microscopy #FOS: Physical sciences #Topological and Geometric Data Analysis #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.1109.5286
12 pages, 47 references, 6 figures, 5 tables. Movies available at http://www.cims.nyu.edu/~dimitris
arxiv created 2011/09/24 · openalex publication_date 2011/09/24 · arxiv updated 2011/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the symmetries of image formation by scattering enable graph-theoretic manifold-embedding techniques to extract structural and timing information from simulated and experimental snapshots at extremely low signal. The approach constitutes a physically-based, computationally efficient, and noise-robust route to analyzing the large and varied datasets generated by existing and emerging methods for studying structure and dynamics by scattering. We demonstrate three-dimensional structure recovery from X-ray diffraction and cryo-electron microscope image snapshots of unknown orientation, the latter at 12 times lower dose than currently in use. We also show that ultra-low-signal, random sightings of dynamically evolving systems can be sequenced into high quality movies to reveal their evolution. Our approach offers a route to recovering timing information in time-resolved experiments, and extracting 3D movies from two-dimensional random sightings of dynamic systems.