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Finally, using the definition of the 2D Fourier transform yields

$equation$

In the polar coordinate system, the central slice theorem can be expressed as

$equation$

### 2.6.4Derivation of the FBP algorithm

We start with the 2D inverse Fourier transform in polar coordinates

$equation$

Because $equation$ we have

$equation$

By using the central slice theorem, we can replace F by P:

$equation$

We recognize that ω| is the ramp filter. Let Q(ω, θ)=|ω|P(ω

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