The symmetries of image formation by scattering II Applications

• DOI: 10.1364/oe.20.012827
• Publication Date: 2012-05-23T18:23:10Z
• Authors: Peter Schwander; Dimitrios Giannakis; Chun Hong Yoon; Abbas Ourmazd
• Keywords: 0301 basic medicine; 03 medical and health sciences; FOS: Physical sciences; Computational Physics (physics.comp-ph); Physics - Computational Physics

12 pages, 47 references, 6 figures, 5 tables. Movies available at http://www.cims.nyu.edu/~dimitris<br/>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.<br/>