Three-dimensional reconstruction from reduced sets of very noisy images acquired following a single-axis tilt schema: Application of a new three- dimensional reconstruction algorithm and objective comparison with weighted backprojection

Journal of Structural Biology

Volumn 120, Issue 3, 1997, Pages 363-371

  Marabini, R ^a   Rietzel, E ^b   Schroeder, R ^b   Herman, G T ^c   Carazo, J M ^a  

^a CENTRO NACIONAL DE BIOTECNOLOGÍA   (Spain)

^b MAX PLANCK INSTITUTE FOR MEDICAL RESEARCH   (Germany)

^c UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

ART; Blob; Electron tomography; Reconstruction methods; Weighted backprojection

Indexed keywords

ALGORITHM; ANALYTIC METHOD; COMPARATIVE STUDY; CONFERENCE PAPER; DATA ANALYSIS; ELECTRON MICROSCOPY; IMAGE RECONSTRUCTION; MACROMOLECULE; NOISE REDUCTION; NONHUMAN; PRIORITY JOURNAL; THREE DIMENSIONAL IMAGING; TOMOGRAPHY;

EID: 0031414675     PISSN: 10478477     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsbi.1997.3923     Document Type: Conference Paper

References (22)

1. Daubechies I. Orthonormal bases of compactly supported wavelets. Comm. Pure Appl. Math. 41:1988;909-996.
2. Dinges C., Rose H. Simulation of filtered and unfiltered TEM images and diffraction patterns. Phys. Stat. Sol. (A). 150:1995;23-29.
3. Furuie S. S., Herman G. T., Narayan T. K., Kinahan P. E., Karp J. S., Lewit R. M., Matej S. A methodology for testing for statistically significant differences between fully 3D PET reconstruction algorithms. Phys. Med. Biol. 39:1994;343-354.
4. Gordon R., Bender R., Herman G. T. Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography. J. Theor. Biol. 29:1970;471-482.
5. Green D. M., Swets J. A. Signal Detection Theory and Psychophysics. 1988;Peninsula, Los Altos.
6. Herman G. T. Image Reconstruction From Projections: The Fundamentals of Computerized Tomography. 1980;Academic Press, New York.
7. Herman G. T., Yeung K. T. D. Evaluators of image reconstruction algorithms. Int. J. Imag. Sys. Technol. 1:1989;187-195.
8. Hoppe W., Gassmamm J., Hunsmann N., Schramm H. J., Sturm M. Three-dimensional reconstruction of individual negatively stained fatty-acid synthetase molecules from tilt serios in the electron microscope. Hoppe-Seyler's Z. Physiol. Chem. 355:1974;1483-1487.
9. Kaiser J. F. Digital filters. System Analysis by Digital Computer. 1966;Wiley, New York. p. 218-285.
10. Kaczmarz S. Angenährte Auflösung von Systemen linearer Gleichungen. Bull. Int. Acad. Pol. Sci. Lett., A. 35:1937;355-357.
11. Lewitt R. M. Reconstruction algorithms: transform methods. Proc. IEEE. 71:1983;390-408.
12. Lewitt R. Multidimensional digital image representation using generalized Kaiser-Bessel window functions. J. Opt. Soc. Am. A. 7:1990;1834-1846.
13. Lewitt R. Alternatives to voxels for image representation in iterative reconstruction algorithms. Phys. Med. Biol. 37:1992;705-716.
14. R. Marabini, J. M. Carazo, G. T. Herman, 1996a, 3D reconstruction in Electron Microscopy using ART.
15. R. Marabini, J. M. Carazo, G. T. Herman, 1996b, Objective Methods to Compare Volume Reconstructions.
16. Matej S., Herman G. T., Narayan T. K., Furuie S. S., Lewit R. M., Kinahan P. Evaluation of task-oriented performance of several fully 3-D PET reconstruction algorithms. Phys. Med. Biol. 39:1994;355-367.
17. Matej S., Lewitt R. M. Practical considerations for 3D image reconstruction using spherically-symmetric volume elements. IEEE Trans. Med. Img. 15:1996;68-78.
18. Matej S., Furuie S., Herman G. The relevance of statistically significant differences between reconstruction algorithms. IEEE Trans. Img. Proc. 5:1996;554-556.
19. Radermacher M. Weighted backprojection methods. Frank J. Electron Tomography. 1992;91-115 Plenum Press, New York.
20. Sahiner B., Yagle A. E. Iterative inversion of the Radon transform: using image-adaptive wavelet constraints to improve image reconstruction. IEEE Eng. Med. Biol. Mag. 15:1996;112-117.
21. Sherman III J. W. Aperture-Antenna Analysis. Skolnik M. I. Radar Handbook. 1970;9.1-9.40 McGraw-Hill, New York.
22. Slepian D. Analytic solution of two apodization problems. J. Opt. Soc. Am. 55:1965;1110-1115.