Graphics Reference
In-Depth Information
Figure 8.4.
The translation operator.
As expected, the output points form the exact same geometric shape with the exact
same dimensions. Now, if the four input positions
are the vertices
of an object (e.g., a rectangular photograph), then the operations of Figure 8.4
would
translate
(or move) the photograph to the location defined by the output
positions
(
V
a
,
V
b
,
V
c
,
V
d
)
(
V
at
,
V
bt
,
V
ct
,
V
dt
)
.
Summary of the Translation Operator
Order of operations.
In general, for
all transformation operators
, the order of
operations is important. For example,
V
a
T
(
t
x
,
t
y
)
is different from
T
(
t
x
,
t
y
)
V
a
.
In fact, as will be discussed in Section 8.5,
T
(
t
x
,
t
y
)
V
a
is an undefined operation.
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