Graphics Reference
In-Depth Information
Y
surface
vertex
inside
X
edge
Z
outside
Figure 4.10.
Table 4.1
Surface
u
v
n =- u
×
v
P
Equation
1
- i
j
k
000
z
=
0
2
j
k
- i
110
x
+
1
=
0
3
i
j
- k
101
z
+
1
=
0
4
j
- k
i
011
x
=
0
5
- i
k
- j
010
y
+
1
=
0
6
k
- i
j
101
y
=
0
Table 4.2
2 2 2
2 1 2
2 01
LHS expression
102
111
z
+
+
+
+
+
x
+
1
+
0
+
+
0
z
+
1
+
-
+
0
0
x
+
+
+
+
+
y
+
1
+
+
0
+
0
y
+
0
+
0
+
Result
inside
outside
surface
edge
vertex
Hopefully, this simple exercise has revealed just how useful vectors are in resolving a very useful
space-partitioning technique.
 
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