Write a MATLAB function called equalize that implements the histogram equalization algorithm that was described in class.

Write a MATLAB function called equalize that implements the histogram equalization algorithm that was described in class. The function header should have the form: function im2 = equalize(im) where im is a uint8 grayscale image and im2 is the uint8 output image. You can use any built-in MATLAB functions in your code except for histeq, which also does histogram equalization. A mark of zero (0) will be given if you use histeq. b. Download images “livingroom.tif” and “woman_darkhair.tif” from the course webpage and process them with both equalize and histeq functions. Include a printout of the images before and after equalization with both functions in your report. Also include a plot of the histogram before and after equalization with both functions. Comment on the outputs.