Part $(2)$: Histogram Equalization

Consider a $4-$bit grayscale image with pixel values ranging from $0$ to $15.$

Original $4-$Bit Image

Calculate:

The $($unnormalized$)$ histogram for the original image.

The PDF $($normalized$)$ histogram with figure.

The CDF from the histogram $($histogram equalization$).$

Map the original intensities $($r$)$ with the transformed ones $($s$).$please solve every step in details with hand wrritten