(Solved) : Image M N Given Figure 2 Consists 16 Images Given Oriented Windowed Sinusoidal 2 D Functio Q33162415 . . . .

The image Iˆ = Iˆ(m,n) given in figure 2 consists of 16 imagesgiven by the oriented and windowed sinusoidal 2-D functions. Thesize of I = I (m,n) is 256×256 pixels.

(a) Prove that Fig.1 shows the abs of the Fourier transform ofIˆ = Iˆ(m,n) given in Fig.2.

(b) If the size of the image Iˆ = Iˆ(m,n) is 256×256 pixelswrite Iˆ = Iˆ(m,n)

(c) Write down the 2-D function Ia(x,y) representingthe image corresponding to the oriented and windowed sinusoidalimage before sampling if each pixel has size 1mm×1mm.

FIG 1

FIG 2

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