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3D Game Engine Design, 2nd Edition
book

3D Game Engine Design, 2nd Edition

by David Eberly
November 2006
Intermediate to advanced content levelIntermediate to advanced
1040 pages
26h 31m
English
CRC Press
Content preview from 3D Game Engine Design, 2nd Edition
42 Chapter 2 The Graphics System
1
(x
1
, mx
1
)
(x
2
, 0)
(1/m, 1)
(x
0
, mx
0
)
w
x
Figure 2.14 All homogeneous points along a line of slope m, excluding the origin, are equivalent
to the homogeneous point (1/m,1). The points with a w-component of zero are
vectors and are said to be equivalent to the point at infinity.
The division is not a matrix operation, because it involves a quantity dependent on
the input X. The use of the symbol in
Y
1
Y
w
indicates that the 4-tuples are not equal but equivalent in the sense that the division
by w does produce two equal 4-tuples. This equivalence is the basis for projective
geometry.
To understand the equivalence in two
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Publisher Resources

ISBN: 9781482267303