3.3 Assume a simple 77 cross-section of an object as shown, each dark box represents a value of 2, and white box represents a value of 0.1) Compute four discrete projections at =0o, =45o, =90o, =135o, namely {p0, p45, p90, p135}2) Use back projection to reconstruct this image with one projection p03) Repeat 2) with two projections p0, and p454) Repeat 2) with three projections p0, p45 and p90,5) Repeat 2) with all four projections p0, p45, p90, and p1356) Now convolve each of the four projections {p0, p45, p90, p135} with a "Shepp-Logan" filter [-0.01, -0.08, 0.2, -0.08, -0.01], and name the results as {pf0, pf45, pf90, pf135} (Hint: discard the first two samples and the last two samples from each of the convolution to maintain the original input length)7) Repeat 5) using {pf0, pf45, pf90, pf135}8) Comment on the difference between the results in 5) and in 7).