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. Author manuscript; available in PMC: 2014 Jan 1.
Published in final edited form as: FEBS J. 2012 Dec 17;280(1):28–45. doi: 10.1111/febs.12078

Figure 5.

Figure 5

Principle of reconstruction of 3D structure by Fourier inversion. Using the “Fourier duck” as the prototypical biological specimen, the schematic illustrates that projection images of the object, each with a different orientation, have 2D Fourier transforms that correspond to sections (indicated by red arrows) through the 3D Fourier transform of the original object. Thus, once the 3D Fourier transform is built up from a collection of 2D images spanning a complete range of orientations, Fourier inversion enables recovery of the 3D structure.