Consider an image A containing a picture of a baby smiling, and

an image $B$ containing a picture of the same baby in the same

pose, but which now looks like it is crying. Consider also the

following uncommented Python$-$inspired pseudo$-$code that

returns an image that we will call $C.$

from scipy import absolute as abs

from scipy.fftpack import $($fft$2,$ ifft$2,$

fftshift, ifftshift$)$

def untitled$($A$,$ B$)$:

$"""$An uncommented function that takes

as arguments two $2$D NumPy arrays.

$"""$

$A=$fftshift$(fft2(A))$

$B=$fftshift$(fft2(B))$

$D=$ an image with a disc of zeros at the

centre and ones everywhere else

$A=A**D$

$B=B*\frac{*}{a}bs(D-1)$

ifft$2$shift $(A)$

ifft$2$shift$($B$))$

return $A+B$

i$.$ What is the special property of image $C$ that one can

perceive?

ii$.$ Explain the theory behind why $C$ has this special property.