9. M. Radermacher, Three-dimensional reconstruction of single particles from random and
nonrandom tilt series. J. Electron Microsc Tech. 9(4), 359–394 (1988). doi:10.1002/jemt.
1060090405
10. M. Radermacher, Weighted back-projection methods, in Electron Tomography: Methods for
Three-Dimensional Visualization of Structures in the Cell, ed. by J, Frank (Springer, New
York, 2006), pp. 245–273. doi:10.1007/978-0-387-69008-7_9
11. J.-M. Carazo, G.T. Herman, C.O.S. Sorzano, R. Marabini, Algorithms for three-dimensional
reconstruction from the imperfect projection data provided by electron microscopy. in
Electron Tomography: Methods for Three-Dimensional Visualization of Structures in the Cell
ed. by J. Frank (Springer, New York, 2006), pp. 217–243. doi:10.1007/978-0-387-69008-7_8
12. J.B. Heymann, G. Cardone, D.C. Winkler, A.C. Steven, Computational resources for
cryo-electron tomography in Bsoft. J. Struct. Biol. 161(3), 232–242 (2008)
13. R.A. Crowther, D.J. De Rosier, A, Klug, The reconstruction of a three-dimensional structure
from projections and its application to electron microscopy. Proc. R. Soc. Lond. 23 June
1970. Ser. A, Math. Phys. Sci. R. Soc. Lond., pp. 319–340
14. C.E. Shannon, Communication in the presence of noise. Proc. IEEE 86(2), 447–457 (1998).
doi:10.1109/JPROC.1998.659497
15. K. Sandberg, D.N. Mastronarde, G. Beylkin, A fast reconstruction algorithm for electron
microscope tomography. J. Struct. Biol. 144(1–2), 61–72 (2003)
16. Y. Chen, F. Forster, Iterative reconstruction of cryo-electron tomograms using nonuniform
fast Fourier transforms. J. Struct. Biol. 185(3), 309–316 (2014). doi:10.1016/j.jsb.2013.12.
001
17. J. Miao, F. Förster, O. Levi, Equally sloped tomography with oversampling reconstruction.
Phys. Rev. B 72(5), 052103 (2005)
18. E. Lee, B.P. Fahimian, C.V. Iancu, C. Suloway, G.E. Murphy, E.R. Wright, D. Castano-Diez,
G.J. Jensen, J. Miao, Radiation dose reduction and image enhancement in biological imaging
through equally-sloped tomography. J. Struct. Biol. 164(2), 221–227 (2008). doi:10.1016/j.
jsb.2008.07.011
19. R. Gordon, R. Bender, G.T. Herman, Algebraic reconstruction techniques (ART) for threedimensional electron microscopy and x-ray photography. J. Theor. Biol. 29(3), 471–481 (1970)
20. P. Gilbert, Iterative methods for the three-dimensional reconstruction of an object from
projections. J. Theor. Biol. 36(1), 105–117 (1972)
21. A.H. Andersen, A.C. Kak, Simultaneous algebraic reconstruction technique (SART): a
superior implementation of the art algorithm. Ultrason. Imaging 6(1), 81–94 (1984)
22. B. Turonova, L. Marsalek, T. Davidovic, P. Slusallek, Progressive stochastic reconstruction
technique (PSRT) for cryo electron tomography. J. Struct. Biol. 189(3), 195–206 (2015).
doi:10.1016/j.jsb.2015.01.011
23. L. Wang, Y. Shkolnisky, A. Singer, in A Fourier-based Approach for Iterative 3D Reconstruction
from Cryo-EM Images. ArXiv e-prints 1307 (2013)
24. U. Skoglund, L.G. Ofverstedt, R.M. Burnett, G. Bricogne, Maximum-entropy three-dimensional
reconstruction with deconvolution of the contrast transfer function: a test application with
adenovirus. J. Struct. Biol. 117(3), 173–188 (1996). doi:10.1006/jsbi.1996.0081
25. S.F. Gull, T.J. Newton, Maximum entropy tomography. Appl. Opt. 25(1), 156 (1986)
26. M.C. Lawrence, M.A. Jaffer, B.T. Sewell, The application of the maximum entropy method to
electron microscopic tomography. Ultramicr 31(3), 285–301 (1989)
27. J.R. Kremer, D.N. Mastronarde, J.R. McIntosh, Computer visualization of three-dimensional
image data using IMOD. J. Struct. Biol. 116(1), 71–76 (1996)
28. P. Engelhardt, Electron tomography of chromosome structure, in Encyclopedia of Analytical
Chemistry (Wiley, New York, 2006). doi:10.1002/9780470027318.a1405
29. M. Kunz, A.S. Frangakis, Super-sampling SART with ordered subsets. J. Struct. Biol. 188(2),
107–115 (2014). doi:10.1016/j.jsb.2014.09.010
30. G.T. Herman, S.W. Rowland, Yau Mm, A comparative study of the use of linear and
modified cubic spline interpolation for image reconstruction. IEEE Trans. Nucl. Sci. 26(2),
2879–2894 (1979). doi:10.1109/TNS.1979.4330555
232
J. Bernard Heymann
nonrandom tilt series. J. Electron Microsc Tech. 9(4), 359–394 (1988). doi:10.1002/jemt.
1060090405
10. M. Radermacher, Weighted back-projection methods, in Electron Tomography: Methods for
Three-Dimensional Visualization of Structures in the Cell, ed. by J, Frank (Springer, New
York, 2006), pp. 245–273. doi:10.1007/978-0-387-69008-7_9
11. J.-M. Carazo, G.T. Herman, C.O.S. Sorzano, R. Marabini, Algorithms for three-dimensional
reconstruction from the imperfect projection data provided by electron microscopy. in
Electron Tomography: Methods for Three-Dimensional Visualization of Structures in the Cell
ed. by J. Frank (Springer, New York, 2006), pp. 217–243. doi:10.1007/978-0-387-69008-7_8
12. J.B. Heymann, G. Cardone, D.C. Winkler, A.C. Steven, Computational resources for
cryo-electron tomography in Bsoft. J. Struct. Biol. 161(3), 232–242 (2008)
13. R.A. Crowther, D.J. De Rosier, A, Klug, The reconstruction of a three-dimensional structure
from projections and its application to electron microscopy. Proc. R. Soc. Lond. 23 June
1970. Ser. A, Math. Phys. Sci. R. Soc. Lond., pp. 319–340
14. C.E. Shannon, Communication in the presence of noise. Proc. IEEE 86(2), 447–457 (1998).
doi:10.1109/JPROC.1998.659497
15. K. Sandberg, D.N. Mastronarde, G. Beylkin, A fast reconstruction algorithm for electron
microscope tomography. J. Struct. Biol. 144(1–2), 61–72 (2003)
16. Y. Chen, F. Forster, Iterative reconstruction of cryo-electron tomograms using nonuniform
fast Fourier transforms. J. Struct. Biol. 185(3), 309–316 (2014). doi:10.1016/j.jsb.2013.12.
001
17. J. Miao, F. Förster, O. Levi, Equally sloped tomography with oversampling reconstruction.
Phys. Rev. B 72(5), 052103 (2005)
18. E. Lee, B.P. Fahimian, C.V. Iancu, C. Suloway, G.E. Murphy, E.R. Wright, D. Castano-Diez,
G.J. Jensen, J. Miao, Radiation dose reduction and image enhancement in biological imaging
through equally-sloped tomography. J. Struct. Biol. 164(2), 221–227 (2008). doi:10.1016/j.
jsb.2008.07.011
19. R. Gordon, R. Bender, G.T. Herman, Algebraic reconstruction techniques (ART) for threedimensional electron microscopy and x-ray photography. J. Theor. Biol. 29(3), 471–481 (1970)
20. P. Gilbert, Iterative methods for the three-dimensional reconstruction of an object from
projections. J. Theor. Biol. 36(1), 105–117 (1972)
21. A.H. Andersen, A.C. Kak, Simultaneous algebraic reconstruction technique (SART): a
superior implementation of the art algorithm. Ultrason. Imaging 6(1), 81–94 (1984)
22. B. Turonova, L. Marsalek, T. Davidovic, P. Slusallek, Progressive stochastic reconstruction
technique (PSRT) for cryo electron tomography. J. Struct. Biol. 189(3), 195–206 (2015).
doi:10.1016/j.jsb.2015.01.011
23. L. Wang, Y. Shkolnisky, A. Singer, in A Fourier-based Approach for Iterative 3D Reconstruction
from Cryo-EM Images. ArXiv e-prints 1307 (2013)
24. U. Skoglund, L.G. Ofverstedt, R.M. Burnett, G. Bricogne, Maximum-entropy three-dimensional
reconstruction with deconvolution of the contrast transfer function: a test application with
adenovirus. J. Struct. Biol. 117(3), 173–188 (1996). doi:10.1006/jsbi.1996.0081
25. S.F. Gull, T.J. Newton, Maximum entropy tomography. Appl. Opt. 25(1), 156 (1986)
26. M.C. Lawrence, M.A. Jaffer, B.T. Sewell, The application of the maximum entropy method to
electron microscopic tomography. Ultramicr 31(3), 285–301 (1989)
27. J.R. Kremer, D.N. Mastronarde, J.R. McIntosh, Computer visualization of three-dimensional
image data using IMOD. J. Struct. Biol. 116(1), 71–76 (1996)
28. P. Engelhardt, Electron tomography of chromosome structure, in Encyclopedia of Analytical
Chemistry (Wiley, New York, 2006). doi:10.1002/9780470027318.a1405
29. M. Kunz, A.S. Frangakis, Super-sampling SART with ordered subsets. J. Struct. Biol. 188(2),
107–115 (2014). doi:10.1016/j.jsb.2014.09.010
30. G.T. Herman, S.W. Rowland, Yau Mm, A comparative study of the use of linear and
modified cubic spline interpolation for image reconstruction. IEEE Trans. Nucl. Sci. 26(2),
2879–2894 (1979). doi:10.1109/TNS.1979.4330555
232
J. Bernard Heymann