rectangular part with a hole in the middle is placed under a digital camera. The

figure below shows the projection of its optical image on the photo sensitive array.

Assume that the camera uses a $3-$bit frame grabber to store the digital image in which the pixel$$s

gray level value is proportional to the light intensity the photo cell detects at that pixel location.

$($That is$,$ a higher value represents a brighter gray level$).$ Also assume that the back lighting

technique is used and the pixels that make up the inner circle and the left and right edges of the

object are half$-$covered.