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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
382 Chapter 7 Level of Detail
is really an edge contraction. Positive thresholds allow nonconnected vertices to be
paired.
The algorithm also requires taking the set of valid pairs and associating with each
pair a metric that is used to prior itize the pairs. The smaller the metric, the more
likely the pair should be contracted. This is accomplished by associating with each
vertex V = (X,1), treated as a homogeneous vector, a symmetric 4 ×4 matrix Q(V),
and choosing the metric to be the quadratic form
E(X) = V
T
QV =
.
X
T
1
/
A
B
B
T
c

X
1
= X
T
AX + 2B
T
X + c
where A isa3× 3 symmetric matr ix, B is a 3 × 1 vector, and c is a scalar. Note
that E(X) = d for a constant ...
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Publisher Resources

ISBN: 9781482267303