Angel and Shreiner: Interactive Computer Graphics, Seventh
Edition
Chapter 1 Odd Solutions
1.1 The main advantage of the pipeline is that each primitive can be
processed independently. Not only does this architecture lead to fast
performance, it reduces memory requirements because we need not keep all
1.3 We derive this algorithm later in Chapter 6. First, we can form the
tetrahedron by finding four equally spaced points on a unit sphere centered
at the origin. One approach is to start with one point on the zaxis
(0,0,1). We then can place the other three points in a plane of constant z.
One of these three points can be placed on the yaxis. To satisfy the
1.5 In Exercise 1.4, we saw that we could intersect the line of which the
line segment is part independently against each of the sides of the window.
1.7 In a one–point perspective, two faces of the cube is parallel to the
projection plane, while in a two–point perspective only the edges of the
1.9 Each frame for a 480 x 640 pixel video display contains only about
300k pixels whereas the 2000 x 3000 pixel movie frame has 6M pixels, or
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1.11 A 1024 x 1280 display has a 4 to 5 aspect ratio. Hence, if the diagonal
is 50 cm and we want square pixels, the screen must be approximately 31
cm x 39 mm. Each pixel is then about 0.3 mm on each side. A smooth
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