Weighted simultaneous iterative reconstruction technique for single-axis tomography

Ultramicroscopy

Volumn 136, Issue , 2014, Pages 15-25

  Wolf, D ^a   Lubk, A ^a   Lichte, H ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Back projection; Electron tomography; Electrostatic potential; Missing wedge; Weighting filter

Indexed keywords

BACK-PROJECTION; ELECTRON TOMOGRAPHY; ELECTROSTATIC POTENTIALS; MISSING WEDGE; WEIGHTING FILTER;

CONVERGENCE OF NUMERICAL METHODS; ELECTRIC IMPEDANCE TOMOGRAPHY; IMAGE RECONSTRUCTION; TRANSMISSION ELECTRON MICROSCOPY;

ITERATIVE METHODS;

ALGORITHM; ANALYTIC METHOD; ARTICLE; DIMENSIONAL MEASUREMENT ACCURACY; ELECTRON TOMOGRAPHY; NOISE; SINGLE AXIS TOMOGRAPHY; THREE DIMENSIONAL IMAGING; TILTING; TRANSMISSION ELECTRON MICROSCOPY; WEIGHTED BACK PROJECTION; WEIGHTED SIMULTANEOUS ITERATIVE RECONSTRUCTION TECHNIQUE;

EID: 84883516932     PISSN: 03043991     EISSN: 18792723     Source Type: Journal    
DOI: 10.1016/j.ultramic.2013.07.016     Document Type: Article

References (33)

1. Midgley P.A., Dunin-Borkowski R.E. Electron tomography and holography in materials science. Nature Materials 2009, 8(4):271-280.
2. Möbus G., Doole R.C., Inkson B.J. Spectroscopic electron tomography. Ultramicroscopy 2003, 96(3-4):433-451.
3. Wolf D., Lubk A., Lichte H., Friedrich H. Towards automated electron holographic tomography for 3D mapping of electrostatic potentials. Ultramicroscopy 2010, 110(5):390-399.
4. Frank J. Introduction. principles of electron tomography. Electron Tomography, Methods for Three-Dimensional Visualization of Structures in the Cell 2006, 1-16. Springer, Berlin. J. Frank (Ed.).
5. Jensen G.J., Briegel A. How electron cryotomography is opening a new window onto prokaryotic ultrastructure. Current Opinion in Structural Biology 2007, 17(2):260-267.
6. Friedrich H., de Jongh P.E., Verkleij A.J., de Jong K.P. Electron tomography for heterogeneous catalysts and related nanostructured materials. Chemical Reviews 2009, 109(5):1613-1629.
7. Jinnai H., Spontak R.J. Transmission electron microtomography in polymer research. Polymer 2009, 50(5):1067-1087.
8. Wolf D., Lichte H., Pozzi G., Prete P., Lovergine N. Electron holographic tomography for mapping the three-dimensional distribution of electrostatic potential in III-V semiconductor nanowires. Applied Physics Letters 2011, 98(26). 264103-3.
9. Kawase N., Kato M., Nishioka H., Jinnai H. Transmission electron microtomography without the "missing wedge" for quantitative structural analysis. Ultramicroscopy 2007, 107(1):8-15.
10. Duden T., Gautam A., Dahmen U. KSpaceNavigator as a tool for computer-assisted sample tilting in high-resolution imaging, tomography and defect analysis. Ultramicroscopy 2011, 111(11):1574-1580.
11. Vainshtein B. Finding the structure of objects from projections. Soviet Physics - Crystallography 1970, 15(5):781-787.
12. Gilbert P. The reconstruction of a three-dimensional structure from projections and its application to electron microscopy. II. Direct methods. Proceedings of the Royal Society of London, Series B 1972, 182:89-102.
13. Brooks R.A., Chiro G.D. Principles of computer assisted tomography (cat) in radiographic and radioisotopic imaging. Physics in Medicine and Biology 1976, 21(5):689.
14. Radermacher M. Weighted back-projection methods. Electron Tomography, Methods for Three-Dimensional Visualization of Structures in the Cell 2006, 245-274. Springer, Berlin. J. Frank (Ed.).
15. Gilbert P.F.C. Iterative methods for the three-dimensional reconstruction of an object from projections. Journal of Theoretical Biology 1972, 36(1):105-117.
16. Midgley P.A., Weyland M. 3D electron microscopy in the physical sciences: the development of Z-contrast and EFTEM tomography. Ultramicroscopy 2003, 96(3-4):413-431.
17. Gordon R., Bender R., Herman G.T. Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography. Journal of Theoretical Biology 1970, 29(3):471-481.
18. Batenburg K., Bals S., Sijbers J., Kübel C., Midgley P., Hernandez J., Kaiser U., Encina E., Coronado E., Van Tendeloo G. 3D imaging of nanomaterials by discrete tomography. Ultramicroscopy 2009, 109(6):730-740.
19. Goris B., Van den Broek W., Batenburg K., Heidari Mezerji H., Bals S. Electron tomography based on a total variation minimization reconstruction technique. Ultramicroscopy 2012, 113(0):120-130.
20. Natterer F. The Mathematics of Computerized Tomography 2001, Society for Industrial and Applied Mathematics, Philadelphia.
21. Hansen P.C. Rank-Deficient and Discrete Ill-Posed Problems. Numerical Aspects of Linear Inversion 1998, SIAM, Philadelphia.
22. R. Leary, Z. Saghi, P.A. Midgley, D.J. Holland, Compressed sensing electron tomography, Ultramicroscopy 131 (2013) 70-91. http://dx.doi.org/10.1016/j.ultramic.2013.03.019.
23. Lanzavecchia S., Cantele F., Bellon P., Zampighi L., Kreman M., Wright E., Zampighi G. Conical tomography of freeze-fracture replicas. a method for the study of integral membrane proteins inserted in phospholipid bilayers. Journal of Structural Biology 2005, 149(1):87-98.
24. Radon J. Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten. Berichte ueber die Verhandlungen der Saechsischen Akademie der Wissenschaften zu Leipzig, Mathematisch - Naturwissenschaftliche Klasse 1917, 69:262-277.
25. Natterer F., Wübbeling F. Mathematical Methods in Image Reconstruction 2001, Society for Industrial and Applied Mathematics, Philadelphia.
26. Harauz G., van Heel M. Exact filters for general geometry three dimensional reconstruction. Optik 1986, 73:146-156.
27. The W-SIRT algorithm implemented in Digital Micrograph may be obtained upon request to the authors. If you publish work using the W-SIRT algorithm, please reference us by citation on this paper.
28. M. Radermacher, W. Hoppe, Properties of 3-D reconstruction from projections by conical tilting compared to single axis tilting, in: Proceedings of the Seventh European Congress, 1980, pp. 132-133.
29. Beanland R., Sãnchez A., Hernandez-Garrido J., Wolf D., Midgley P. Electron tomography of III-V quantum dots using dark field 002 imaging conditions. Journal of Microscopy 2010, 237(2):148-154.
30. Lehmann M., Lichte H. Tutorial on off-axis electron holography. Microscopy and Microanalysis 2002, 8(06):447-466.
31. IMOD Software Package for Image Processing, Modeling and Display, Boulder Laboratory, University of Colorado.
32. Schowalter M., Rosenauer A., Lamoen D., Kruse P., Gerthsen D. Ab initio computation of the mean inner coulomb potential of wurtzite-type semiconductors and gold. Applied Physics Letters 2006, 88(23). 232108-3.
33. Wang Y., Chou T., Libera M., Voelkl E., Frost B. Measurement of polystyrene mean inner potential by transmission electron holography of latex spheres. Microscopy and Microanalysis 1998, 4:146-157.