The Central Slice Theorem: An Example

Section 12.4

Problem 21½. Verify the central slice theorem for the object

(a) Calculate the projection of the object using Eq. 12.29,

Then take a one-dimensional Fourier transform of the projection using Eq. 11.59,

(b) Calculate the two-dimensional Fourier transform of the object using Eq. 12.11a,

Then transform (kx,ky) to (θ,k) by converting from Cartesian to polar coordinates in frequency space.

(c) Compare your answers to parts (a) and (b). Are they the same?

Fig. 12.12 from IPMB, showing how to do a projection.

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