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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
566 Chapter 11 Curves
Figure 11.8 Parameters τ = 0, γ =0, β =−1.
11.8 Parametric Subdivision
For drawing purposes, it is sometimes necessary to produce a piecewise linear ap-
proximation to a curve with n + 1 curve points that will be the line segment end-
points. If t
i
are the selected curve parameters for 0 i n, then the set of points
X
i
= X(t
i
) for 0 i n isreferredtoasasubdivision of the curve. Three methods
are discussed.
11.8.1 Subdivision by Uniform Sampling
The simplest way to subdivide is to uniformly sample [t
min
, t
max
]as t
i
= t
min
+
(t
max
t
min
)i/n for 0 i n. Although easy to compute, the resulting polyline is
not always a good approximation ...
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Publisher Resources

ISBN: 9781482267303