Digital image processing is concerned with four basic operations which are image restoration, image enhancement, image classification and image transformation. Image enhancement is predominantly concerned with the modification of image to optimize their appearance to the visual system.

$($a$)$ Summarize the $8-$Bit Image with the aid of image histogram and pixel values.

$($b$)$ Justify the importance of atmospheric correction in image restoration.

$($c$)$ In data merging, recommend the digital image processing operation for analysing changes

during natural disaster.