Physics – Computational Physics
Scientific paper
2011-09-24
Physics
Computational Physics
12 pages, 47 references, 6 figures, 5 tables. Movies available at http://www.cims.nyu.edu/~dimitris
Scientific paper
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.
Giannakis Dimitrios
Ourmazd Abbas
Schwander Peter
Yoon Chun Hong
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