Q3) (a) Consider a 64x64 image with 4 grey levels. The normalised grey levels are 0, 1/3, 2/3 and 1. The number of pixels with the corresponding grey levels are shown in Table Q3. We would like to apply histogram equalization (HE) to this image.

(i) Draw the histogram of the image.

(ii) Determine the equalized histogram.

(iii) Draw the equalized histogram.

(iv) Is the objective of HE achieved and why?

(v) What happens if you apply HE twice?

Grey level Number of pixels 0 1813 1/3 1506 2/3 574 203 Table Q3