![](v3_space.gif) |
![](v3_space.gif) |
![](v3_space.gif) |
![](v3_space.gif) |
![](v3_space.gif) |
![](v3_space.gif) |
![](v3_space.gif) |
![](v3_space.gif) |
![](v3_space.gif) |
![](v3_space.gif) |
![](v3_space.gif) |
![](v3_space.gif) |
![](v3_space.gif) |
These concepts
generalize naturally to 3D
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Homogeneous
coordinates
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Projective 3D
points have four coords: P =
(X,Y,Z,W)
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Duality
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A plane N
is also represented by a 4-vector
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Points and planes
are dual in 3D: N P=0
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Projective
transformations
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Represented
by 4x4 matrices T: P’ =
TP, N’ = N T-1
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