Three-dimensional diffractive imaging for crystalline monolayers with one-dimensional compact support

Journal of Structural Biology

Volumn 144, Issue 1-2, 2003, Pages 209-218

  Spence, J C H ^a   Weierstall, U ^a   Fricke, T T ^b   Glaeser, R M ^b   Downing, K H ^c  

^a ARIZONA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

Diffraction; Electron crystallography; Phase determination; Protein structure

Indexed keywords

LYSOZYME;

ALGORITHM; AMPLITUDE MODULATION; ARTICLE; CORRELATION COEFFICIENT; CRYOELECTRON MICROSCOPY; CRYSTAL; CRYSTAL STRUCTURE; CRYSTALLOGRAPHY; DATA ANALYSIS; ELECTRON DIFFRACTION; ELECTRON MICROSCOPY; GEOMETRY; IMAGE ANALYSIS; INFORMATION PROCESSING; INTERMETHOD COMPARISON; NOISE; PERFORMANCE; PRIORITY JOURNAL; RECORDING; SAMPLING; SIMULATION; STRUCTURE ANALYSIS; THREE DIMENSIONAL IMAGING; TIME;

EID: 0344552340     PISSN: 10478477     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsb.2003.09.019     Document Type: Article

References (30)

1. Barakat R., Newsam G. Necessary conditions for a unique solution to two-dimensional phase recovery. J. Math. Phys. 25:1984;3190-3193.
2. Bauschke H.H., Combettes P.L., Luke D.R. Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization. J. Opt. Soc. Am. 19:2002;1334.
3. Belemlilga D., Gillet J.M., Becker P.J. Charge and momentum densities of cubic tetracyanoethylene and its insertion compounds. Acta Cryst. B. 55:1999;192.
4. Buerger M.J. Vector Space, and its Application in Crystal-Structure Investigation. 1959;New York, Wiley.
5. Collaborative Computing project Number 4, 1994. The CCP4 Suite: Programs for protein crystallography. Acta Cryst. D 50, 760-763.
6. Diamond R.J. Real-space refinement of structure of hen egg-white lysozyme. J. Mol. Biol. 82:1974;371.
7. Doyle P.A., Turner P.S. Relativistic Hartree-Fock X-ray and electron scattering factors. Acta Cryst. A. 24:1968;390.
8. Elser V. Phase retrieval by iterated projections. J. Opt. Soc. Am. 20:2003;40-55.
9. Fienup J.R. Phase retrieval algorithms: a comparison. Appl. Opt. 21:1982;2758-2769.
10. Fienup R. Reconstruction of a complex-valued object from the modulus of its Fourier-transform using a support constraint. J. Opt. Soc. Am. A. 4:1987;118-123.
11. Fienup J.R., Crimmins T.R., Holsztynski W. Reconstruction of the support of an object from the support of its auto-correlation. J. Opt. Soc. Am. 72:1982;610-624.
12. Fienup J.R. Invariant error metrics for image reconstruction. Appl. Opt. 36:1997;8352-8357.
13. Frank J. Three-Dimensional Electron Microscopy of Macromolecular Assemblies. 1996;Academic Press, San Diego.
14. Grigorieff N., Ceska T., Downing K.H., Baldwin J., Henderson R. Electron-crystallographic refinement of the structure of Bacteriorhodopsin. J. Mol. Biol. 259:1996;393.
15. He H., Marchesini S., Howells M., Weierstall U., Chapman H., Hau-Riege S., Noy A., Spence J.C.H. Inversion of X-ray diffuse scattering to images using prepared objects. Phys. Rev. B. 67:2003;174114. See also He, H. et al., 2003. Experimental lensless soft-X-ray imaging using iterative algorithms: phasing diffuse scattering. Acta Cryst. A 59, 143.
16. Lindaas S., Calef B., Downing K., Howells M., Magowan C., Pinkas D., Jacobsen C. X-ray holography of fast-frozen hydrated biological samples. Thieme J. X-ray Microscopy and Spectromicroscopy. 1998;II-75 Springer, Berlin.
17. Marchesini, S., He, H., Chapman, H., Hau-Riege, S., Noy, A., Howells, M., Weierstall, U., Spence, J., 2003. Imaging without lenses. Phys. Rev. B., in press.
18. Marks L.D. General solution for three-dimensional surface structures using direct methods. Phys. Rev. B. 60:1999;2771.
19. Miao J., Charalambous P., Kirz J., Sayre D. Extending the methodology of X-ray crystallography for imaging of micrometre-sized non-crystalline specimens. Nature. 400:1999;342.
20. Millane R. Phase retrieval in crystallography and optics. J. Opt. Soc. Am. 7:1990;394.
21. Millane R.P.J. Phase problems for periodic images - effects of support and symmetry. J. Opt. Soc. Am. A. 10:1993;1037. See also Millane, R.P., Stroud, W.J., 1997. Reconstructing symmetric images from their undersampled Fourier intensities. J. Opt. Soc. Am. A 14, 568; for use of non-crystallographic symmetry to assist phasing by HIO for macromolecular crystals.
22. Nogales E., Wolf S.G., Downing K. The structure of alpha-beta tubulin dimer by electron crystallography. Nature. 391:1998;199.
23. Read R.J. Improved Fourier coefficients for maps using phases from partial structures with errors. Acta Cryst. A. 42:1986;140-149.
24. Sayre D. Some implications of a theorem due to Shannon. Acta Cryst. 5:1952;843.
25. Seldin J.H., Fienup J.R. Numerical investigation of the uniqueness of phase retrieval. J. Opt. Soc. Am. A. 7:1990;412.
26. Spence J., Weierstall U., Friis J. On lensless imaging of organics with neutrons X-rays, helium atoms and low energy electrons: damage and iterative phase retrival. Microsc. Microanal. 7(Suppl. 2):2001;. p. Proc. MSA.
27. Spence J.C.H., Weierstall U., Howells M. Phase recovery and lensless imaging by iterative methods in optical X-ray, and electron diffraction. Phil. Trans. 360:2002;875.
28. Stark H. Image Recovery: Theory and Applications. 1987;Academic Press, New York.
29. Weierstall U., Chen Q., Spence J., Howells M., Isaacson M., Panepucci R. Image reconstruction from electron and X-ray diffraction patterns using iterative algorithms: experiment and simulation. Ultramics. 90:2001;171.
30. Zuo J.M., Vartanyants I., Gao M., Zhang R., Nagahara L.A. Atomic resolution imaging of a carbon nanotube from diffraction intensities. Science. 300:2003;1419-1421.