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.