There is an alternative approach to the one−point projection problem described in Example 1.8.7 that uses a parametric representation of the projection plane. Suppose the plane is parametrized by x = p0 + sv1 + tv2, and let x = a + u(p1 − a) be a parametrization for the line through the observer’s eye p1 and a point a on the object being drawn. Verify that the line intersects the plane when s, t, and u satisfy
sv1 + tv2 + u(a − p1) = a − p0.
The coordinates of the projected point in the v1v2-plane are s and t. Let P be the pyramid with vertices (0, 1, 1), (0, 2, 1), (0, 2, 2), (0, 1, 2) and (1, 3/2, 3/2); let p1 = (10, 0, 0); let v1 = (0, 1, 0), v2 = (0, 0, 1), and p0 = (3, 0, 0). Calculate and draw the projected image of the pyramid
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