ch01oddslns - Angel: Interactive Computer Graphics, Fifth...

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Angel: Interactive Computer Graphics, Fifth Edition Chapter 1 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 objects available. The main disadvantage is that we cannot handle most global eFects such as shadows, re±ections, and blending in a physically correct manner. 1.3 We derive this algorithm later in Chapter 6. ²irst, we can form the tetrahedron by ³nding four equally spaced points on a unit sphere centered at the origin. One approach is to start with one point on the z axis (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 y axis. To satisfy the requirement that the points be equidistant, the point must be at (0 , 2 2 / 3 , - 1 / 3). The other two can be found by symmetry to be at ( - 6 / 3 , - 2 / 3 , - 1 / 3) and ( 6 / 3
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ch01oddslns - Angel: Interactive Computer Graphics, Fifth...

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