Criteria and Methods for Reliable Three-Dimensional Image Reconstruction

1974 ◽  
Vol 32 ◽  
pp. 330-331
Author(s):  
R. A. Crowther
Keyword(s):  
Image Reconstruction ◽  
Finite Number ◽  
Density Distribution ◽  
Electron Micrographs ◽  
Mathematical Problem ◽  
Three Dimensional ◽  
Ideal Case ◽  
Dimensional Image ◽  
General Object ◽  
The Ideal

The reconstruction of a three-dimensional image of a specimen from a set of electron micrographs reduces, under certain assumptions about the imaging process in the microscope, to the mathematical problem of reconstructing a density distribution from a set of its plane projections.In the absence of noise we can formulate a purely geometrical criterion, which, for a general object, fixes the resolution attainable from a given finite number of views in terms of the size of the object. For simplicity we take the ideal case of projections collected by a series of m equally spaced tilts about a single axis.

Reconstruction of three Dimensional images From Electron Micrographs

1970 ◽  
Vol 28 ◽  
pp. 246-247
Author(s):  
D.J. DeRosier
Keyword(s):  
Heavy Metal ◽  
Image Reconstruction ◽  
Optical Density ◽  
Electron Micrographs ◽  
Three Dimensional ◽  
Dimensional Structure ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Density Measurements ◽  
Dimensional Image

The purpose of image reconstruction is to determine, in an objective way, the three dimensional structure of a particle from a set of two dimensional electron micrographs.1 Data, in the form of optical density measurements, are gathered from the set of micrographs and are used to determine a three dimensional set of densities representing the distribution of matter, or, in most cases, the distribution of the heavy metal stain. This distribution is graphically displayed section by section on transparent sheets which may then be stacked to give the three dimensional image.

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