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Solution to Assignment 2
Problem 1: Mapping from Clipping Rect to ViewPort Consider the following figure:
To make all the points along a horizontal line in the clipping window map onto all the points in the viewport, we must have the relationship: a/b = c/d Where,
b = (x_max - x_min) c = xs - u d = w Therefore: (x - x_min)/(x_max - x_min) = (xs - u)/w. Solving algebraically for xs, we have: xs = u + w*(x - x_min) / (x_max - x_min) We can solve for the vertical mapping similarly: ys = v + h*(y - y_min) / (y_max - y_min)
Problem 2: Alquerque There are many ways to solve this problem. Here is one solution with the referee included: C code for solution to alquerque problem
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Constance Royden--croyden@mathcs.holycross.edu
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