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
Angel: Interactive Computer Graphics, Fourth Edition Chapter 12 Solutions 12.1 Lets do the problem in two dimensions. The solution in three dimensions is essentially the same. Assume that the vertices are used in a consistent clockwise or counterclockwise
Angel: Interactive Computer Graphics, Fourth Edition Chapter 11 Solutions 11.1 (m + 1)3
a 11.3 As u varies over (a, b), v = ua varies over (0, 1). Substituting into b n the polynomial p(u) = k=0 ck uk , we have q (v ) = v=0 di v i = n=0 ck (b a)v + a)k .
Angel: Interactive Computer Graphics; Fifth Edition Chapter 10 Solutions 10.1 If the upper arm is longer than the lower arm then, as a rst approximation, the robot can reach all points within a sphere centered at the joint on the base. However, this answe
Angel: Interactive Computer Graphics, Fourth Edition Chapter 9 Solutions 9.17 Actually if the map were digitized to a high resolution bump map, it would be dicult to tell it was not correct. In practice, we could probably notice the artifacts at the edges
Angel: Interactive Computer Graphics, Fourth Edition Chapter 8 Solutions 8.1 Suppose that we move across a scanline left to right starting on the outside of a polygon. Assume that 0 corresponds to the background color and 1 is the edge and ll color. As we
Angel: Interactive Computer Graphics, Fifth Edition Chapter 7 Solutions 7.1 First, consider the problem in two dimensions. We are looking for an and such that both parametric equations yield the same point, that is x() = (1 )x1 + x2 = (1 )x3 + x4 , y () =
Angel: Interactive Computer Graphics, Fourth Edition Chapter 6 Solutions 6.1 Point sources produce a very harsh lighting. Such images are characterized by abrupt transitions between light and dark. The ambient light in a real scene is dependent on both th
Angel: Interactive Computer Graphics, Fifth Edition Chapter 5 Solutions 5.1 Eclipses (both solar and lunar) are good examples of the projection of an object (the moon or the earth) onto a nonplanar surface. Any time a shadow is created on curved surface,
Angel: Interactive Computer Graphics, Fourth Edition Chapter 4 Solutions 4.1 If the scaling matrix is uniform then RS = RS(, , ) = R = SR Consider Rx (), if we multiply and use the standard trigonometric identities for the sine and cosine of the sum of tw
Angel: Interactive Computer Graphics, Fifth Edition Chapter 3 Solutions 3.1 The general problem is how to describe a set of characters that might have thickness, curvature, and holes (such as in the letters a and q). Suppose that we consider a simple exam
Angel: Interactive Computer Graphics, Fifth Edition Chapter 2 Solutions 2.9 We can solve this problem separately in the x and y directions. The transformation is linear, that is xs = ax + b, ys = cy + d. We must maintain proportions, so that xs in the sam
Angel: Interactive Computer Graphics, Fifth Edition Chapter 13 Solutions 13.1 Lets do the problem in two dimensions. The solution in three dimensions is essentially the same. Assume that the vertices are used in a consistent clockwise or counterclockwise