Graphics Reference
In-Depth Information
The depth dependent relationship between corresponding points in two perspective views
of the 3D scene can be derived using Equations 2.3 and 2.4 and the outcome represents
the classical disparity equation (see Equation 2.4).
Z
~
RA
1
~
A
t
Equation 2.5
This 3D image warping relationship can be utilized to render arbitrary novel views with
respect to a knownreferenceimage.Thisrequiresthevirtualcamerapositionandorientation
relativetothereference camera to be known with the intrinsic parameters of the virtual
camera. Then if the depth values of thecorresponding3Dspacepointsareknownforevery
pixelintheoriginalimage,novelviewscanbe generatedusingEquation2.5.
The virtual stereoscopic images can be generated through simplifying the 3D image
warping technique (Equation 2.5) to represent horizontal parallax of two virtual camera
positions. The relationship will be derived based on the two stereo camera configurations
asshowninFigure2.10.Thebothconfigurations can be distinguished based on how they
achieve Zero-ParallaxSetting (
ZPS
).
• Toed-in:Thepointofconvergenceat
Z
c
achievesthroughinward-rotationof
theleftand rightcameras.
• Shift-sensor/parallel camera setup: A plane of convergence at
Z
c
is
established through a shift
h
of the camera's CCD (Charged-Couple Device)
sensor.
