Word Count : 488

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To scan convert the curve (y = \frac{x^3}{12}) using the Midpoint method, we exploit symmetry about the origin because the curve is odd. We consider only (x \ge 0) and reflect points for (x < 0). The Midpoint method is based on choosing the next pixel based on the value of the decision parameter (d) at the midpoint between candidate pixels. Let the pixel grid spacing be 1 unit in both (x) and (y). The function is (f(x) = \frac{x^3}{12}). Start at the origin ((0,0)). For each step, we have two candidate pixels: 1. East (E): ((x+1, y)) 2. North-East (NE): ((x+1, y+1)) Decision parameter at midpoint (M = (x+1, y+\frac{1}{2})) is [ d = f(x+1) - \left(y + \frac{1}{2}\right) ] * ________ ____ __________ ____ ____ __________.
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