Game Development Reference
In-Depth Information
2
4
3
5
2
4
−.254
3
5
2
4
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5
.921
.294
−.254
.294
−.100
.951
(f)
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.951
.178
,
2
4
3
5
2
4
3
5
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.995
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−.100
.840
.810
.837
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−1.262
.537
(g)
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6. Assume that the robot is at the position (1, 10, 3), and her right, up, and for-
ward vectors expressed in upright space are [0.866, 0,−0.500], [0, 1, 0], and
[0.500, 0, 0.866], respectively. (Note that these vectors form an orthonormal
basis.) The following points are expressed in object space. Calculate the
coordinates for these points in upright and world space.
(a) (−1, 2, 0)
(b) (1, 2, 0)
(c) (0, 0, 0)
(d) (1, 5, 0.5)
(e) (0, 5, 10)
The coordinates below are in world space. Transform these coordinates
from world space to upright space and object space.
(f) (1, 10, 3)
(g) (0, 0, 0)
(h) (2.732, 10, 2.000)
(i) (2, 11, 4)
(j) (1, 20, 3)
7. Name five examples of nested coordinate-space hierarchies.
Many a small thing has been made large
by the right kind of advertising.
— Mark Twain (1835-1910),
A Connecticut Yankee in King Arthur's Court
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