Problem 1: Using an image you have chosen, compute the histogram of it.
Add two different kinds of noise on this image (see imnoise). You could use Gaussian/uniform noise and salt and pepper noise. 
Recompute the histogram. What differences do you see? 
Using different kinds of filters, can you remove the noise? E.g. try low pass filter, median
filter. Submit the noisy images, their histograms and filtered image
(i.e. noise removed).

Problem 2: Illumination Experiment: Consider a flat surface at an angle of 30 degrees from the incident light direction. 
Assume albedo of the surface to be a real number between 0 and 1. Also, assume a lens with a fixed F-number (f/d). 
a) Using equation (2.13) in your book, plot the image irradiance as a function of alpha. 
b) Assuming a small aperture lens, what do you notice in the above plot. 
c) Can you plot the image of the plane as captured by this lens? 
d) What happens to the image as the F-number reduces?