|
Solving structure with sparse, randomly-oriented x-ray data |
Optics Express, Vol. 20, Issue 12, pp. 13129-13137 (2012)
http://dx.doi.org/10.1364/OE.20.013129
Enhanced HTML 
Acrobat PDF (968 KB)
Abstract
Single-particle imaging experiments of biomolecules at x-ray free-electron lasers (XFELs) require processing hundreds of thousands of images that contain very few x-rays. Each low-fluence image of the diffraction pattern is produced by a single, randomly oriented particle, such as a protein. We demonstrate the feasibility of recovering structural information at these extremes using low-fluence images of a randomly oriented 2D x-ray mask. Successful reconstruction is obtained with images averaging only 2.5 photons per frame, where it seems doubtful there could be information about the state of rotation, let alone the image contrast. This is accomplished with an expectation maximization algorithm that processes the low-fluence data in aggregate, and without any prior knowledge of the object or its orientation. The versatility of the method promises, more generally, to redefine what measurement scenarios can provide useful signal.
© 2012 OSA
OCIS Codes
(000.2190) General : Experimental physics
(040.0040) Detectors : Detectors
(040.7480) Detectors : X-rays, soft x-rays, extreme ultraviolet (EUV)
(110.7440) Imaging systems : X-ray imaging
(110.3055) Imaging systems : Information theoretical analysis
(110.4155) Imaging systems : Multiframe image processing
ToC Category:
Imaging Systems
History
Original Manuscript: March 23, 2012
Revised Manuscript: April 30, 2012
Manuscript Accepted: May 16, 2012
Published: May 25, 2012
Virtual Issues
Vol. 7, Iss. 8 Virtual Journal for Biomedical Optics
Citation
Hugh T. Philipp, Kartik Ayyer, Mark W. Tate, Veit Elser, and Sol M. Gruner, "Solving structure with sparse, randomly-oriented x-ray data," Opt. Express 20, 13129-13137 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-12-13129
Sort: Year | Journal | Reset
References
- R. Neutze, R. Wouts, D. van der Spoel, E. Weckert, and J. Hajdu, “Potential for biomolecular imaging with femtosecond x-ray pulses,” Nature406, 752–757 (2000). [CrossRef] [PubMed]
- V. Elser, “Noise limits on reconstructing diffraction signals from random tomographs,” IEEE Trans. Inf. Theory55, 4715–4722 (2009). [CrossRef]
- N.-T. D. Loh and V. Elser, “Reconstruction algorithm for single-particle diffraction imaging experiments,” Phys. Rev. E80, 026705 (2009). [CrossRef]
- N. D. Loh, M. J. Bogan, V. Elser, A. Barty, S. Boutet, S. Bajt, J. Hajdu, T. Ekeberg, F. R. N. C. Maia, J. Schulz, M. M. Seibert, B. Iwan, N. Timneanu, S. Marchesini, I. Schlichting, R. L. Shoeman, L. Lomb, M. Frank, M. Liang, and H. N. Chapman, “Cryptotomography: reconstructing 3D Fourier intensities from randomly oriented single-shot diffraction patterns,” Phys. Rev. Lett.104, 225501 (2010). [CrossRef] [PubMed]
- H. T. Philipp, L. J. Koerner, M. S. Hromalik, M. W. Tate, and S. M. Gruner, “Femtosecond radiation experiment detector for x-ray free-electron laser (XFEL) coherent x-ray imaging,” IEEE Trans. Nucl. Sci.57, 3795–3799 (2010).
- H. T. Philipp, M. W. Tate, and S. M. Gruner, “Low-flux measurements with Cornell’s LCLS integrating pixel array detector.” J. Inst.6, C11006 (2011). [CrossRef]
- L. E. Baum, T. Petrie, G. Soules, and N. Weiss, “A maximization technique occurring in the statistical analysis of probabilistic functions of Markov chains,” Ann. Math. Statist.41, 164–171 (1970). [CrossRef]
- G. Huldt, A. Szoke, and J. Hajdu, “Diffraction imaging of single particles and biomolecules,” J. Struct. Biol.144, 219–227 (2003). [CrossRef] [PubMed]
- R. R. Coifman, Y. Shkolnisky, F. J. Sigworth, and A. Singer, “Graph Laplacian tomography from unknown random projections,” IEEE Trans. Image Proc.17, 1891–1899 (2008). [CrossRef]
- D. Giannakis, P. Schwander, and A. Ourmazd, “The symmetries of image formation by scattering. I. Theoretical framework,” arXiv:1009.5035 (2010).
- P. Thibault, M. Dierolf, A. Menzel, O. Bunk, C. David, and F. Pfeiffer, “High-resolution scanning x-ray diffraction microscopy,” Science321, 379–382 (2008). [CrossRef] [PubMed]
- D. H. Bilderback, J. D. Brock, D. S. Dale, K. D. Finkelstein, M. A. Pfeifer, and S. M. Gruner, “Energy recovery linac (ERL) coherent hard x-ray sources,” New J. Phys.12, 035011 (2010). [CrossRef]
- C. E. Shannon, “A Mathematical Theory of Communication,” Bell Syst. Tech. J.,27, 379–423, 623–656 (1948).
Cited By |
 Alert me when this paper is cited |
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.
Multimedia
| Multimedia Files | Recommended Software |
| » Media 1: MPG (3102 KB) | QuickTime |
Related Journal Articles 
- Application of a Plastic Scintillating Fiber Array for Low-Energy X-Ray Imaging (AO)
- Time-Resolved Ten-Channel Monochromatic Imaging of Inertial Confinement Fusion Plasmas (AO)
- Ultrafast, jitter-free x-ray streak camera that uses single-photon counting (OL)
- Characterization of a CCD-Based Digital X-Ray Imaging System for Small-Animal Studies: Properties of Spatial Resolution (AO)
- Predicting the Response of a Submillimeter Bolometer to Cosmic Rays (AO)
Related Conference Papers
- Photorefractive X-ray Imaging
- Terahertz Detectors and Emitters Based on Plasma Wave Oscillations in Nanometer Gate Length Transistors
- EUV Spectroscopy of Tin-Doped Laser Plasma Sources
- High Spatial Resolution and Large Field Intensity by a Set of Two Modified Zone Plates
- Ultrafast nanoscale imaging of magnetization dynamics
« Previous Article | Next Article »
OSA is a member of 