Consider a scene with a polygon of intensity $P$ on a background of intensity $0.$ The edge of the polygon in continuous space is described by the equation $y=0\mathrm{.}3x.$ We will generate a $1010$ pixel image of this scene where the figure below depicts $12$ pixels in the bottom left of the image.

y

rity $P$

a$)$ Compute the $1010$ image pixel values that are generated if we sample the continuous data at pixel centers $($the center of the drawn boxes$).$ Explain why this polygon might appear visually undesirable.

b$)$ Compute the pixel values using the antialiasing algorithm that averages intensity over each pixel area $($box filter$).$

c$)$ Will this antialiasing scheme used for part b$)$ prevent aliasing in the Nyquist sense? Explain.