Graphics Reference
In-Depth Information
Substituting Equation 2.5 with the simplified expression in Equation 2.7 the 3D warping
equation can be written as;
?
?
h
?
?
?
?
Z
*
m
~
*
Z
?
m
~
?
0
?
?
A
*
t
Equation 2.8
??
?
?0?
?
?
?
??
With
t
z
= 0, the depth value of the 3D space point is same in the original camera (camera
coordinate systemoftheoriginalview)andthevirtualcamera(coordinatesystemofthevir-
tualcamera).Therefore,
Z
*
= Z
andEquation2.8canbefurtherreducedto;
?
h
?
*
?
t
x
?
m
~
*
m
~
A t
?
0
?
with
t
?
0
?
Equation 2.9
??
Z
??
?
?
0?
?
?
?
0?
?
