Pxylo lo jj

where sinc(z) = sin(nz)/(nz) and Io (p + q)/2 is the dc intensity level. Next, take the Fourier transform of p(x, y) so Equation 5.2.5 can be used to find CIe for the striped object. Note that in general

P(u, v) = F[p(x, y)] ee J J p(x, y) exp[-j(ux + vy)] dx dy 5.2-35

The parameters u and v are spatial frequencies in rad/mm. Also, the theorem:

is used. Hence the two-dimensional Fourier transform of the object can be shown to be p(u, v) = —^ + lo4n25(u, v) + lo4n25(v)

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