DIGITAL IMAGE PROCESSING: HISTOGRAM EQUALIZATION HELP

Write the function compute histoagram that takes a grayscale image as input and returns a length 256 vector h which is the normalized histogram of the values in the image. h should have values from 0 to 1 and its components should sum to 1. Write the function plot histogram that takes as input a histogram (as returned from compute_histogram) and plots it similar to the plots shown below. The x-axis should range from 0 to 255 and be labeled "intensity value". The y-axis should range from 0 to the maximum value of the histogram and should be labeled "PMF" (for probability mass function) Write the function histogram transform which takes as input a histogram (as returned from compute histogram) and returns a length 256 vector T which represents the transformation function for histogram equalization. That is, when you index into T using a pixel value from an input image (offset by 1), you get the value of the pixel in the output image. Thus T is a look-up-table for the transformation. T should be computed using equation 3.3-8 (3r edio) or equation 3-15 (4th edition) in the text. Write the function equalize which takes as input a grayscale image and returns the grayscale image which is the histogram equalized version of the input. This function should