Question 1

Describe in your own words why sampling a signal more densely is one way to reduce aliasing. What are the downsides to increasing the rate at which a signal is sampled?

Question 2

Consider a triangle with screen-coordinates vertex positions P0=(1, 1), P1=(3, 1.5), P2=(1, 3.75). Assuming coverage sample points are uniformly distributed in the domain at half-integer coordinates (0.5, 0.5), (1.5, 0.5), etc., how many sample points are covered by the given triangle? For simplicity, assume that a sample point on an edge is considered to be within the triangle. In addition, derive the line equations for the edges of the triangle.