Abstract
The Fourier averaging methods that have been developed to suppress the noise due to the support-film structure, negative stain, and variations of the specimen [10, 2] require a periodic arrangement of the molecule or molecule aggregate; the Fourier transform is extremely powerful in detecting such patterns embedded in noise. After the two-dimensional reciprocal lattice has been determined, no further information is needed for the averaging. The reciprocal lattice uniquely defines the real-space lattice vectors, i.e., the relative translations between the repeats of the unit lattice in the image. After having deter-mined the lattice vectors, one could in principle proceed by repeatedly superposing the image on itself, each time shifted by a multiple combination of the lattice vectors [13]. The convenience of the Fourier filtering method makes this method of averaging obselete, but it is useful for illustrating the basic similarity between Fourier and direct methods (see also [18]).
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Frank, J., Goldfarb, W. (1980). Methods for Averaging of Single Molecules and Lattice-Fragments. In: Baumeister, W., Vogell, W. (eds) Electron Microscopy at Molecular Dimensions. Proceedings in Life Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-67688-8_30
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DOI: https://doi.org/10.1007/978-3-642-67688-8_30
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