The Reconstruction of a Three-Dimensional Structure from Projections and its Application to Electron Microscopy. Crowther, R., A., DeRosier, D., J., & Klug, A. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 317(1530):319-340, 1970.
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Website abstract bibtex
Paper Website abstract bibtex A transmission electron micrograph is essentially a projection of
the specimen in the direction of view. In order to reconstruct a
three-dimensional image of the specimen, it is necessary to be able
to combine data from a number of different views. A formal solution
of this problem is given in terms of Fourier transforms. Its realization
requires data reduction and interpolation. The final solution is
given by a least squares approach, which also indicates how many
views must be included to give a valid reconstruction of a given
particle to a given degree of resolution. Interpolation procedures
of varying power are given, to be employed according to the economy
with which the available data must be used. An alternative procedure
is described for direct reconstruction without the use of Fourier
transforms, but it is shown to be in general less practicable than
the Fourier approach.
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abstract = {A transmission electron micrograph is essentially a projection of
the specimen in the direction of view. In order to reconstruct a
three-dimensional image of the specimen, it is necessary to be able
to combine data from a number of different views. A formal solution
of this problem is given in terms of Fourier transforms. Its realization
requires data reduction and interpolation. The final solution is
given by a least squares approach, which also indicates how many
views must be included to give a valid reconstruction of a given
particle to a given degree of resolution. Interpolation procedures
of varying power are given, to be employed according to the economy
with which the available data must be used. An alternative procedure
is described for direct reconstruction without the use of Fourier
transforms, but it is shown to be in general less practicable than
the Fourier approach.},
bibtype = {article},
author = {Crowther, R A and DeRosier, D J and Klug, A},
journal = {Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences},
number = {1530}
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