The 3DTV broadcasting chain
(distortion-free when dc = de = Hc and θb = θd)
2.1.2 Depth distance in real space and stereoscopic image space
If an object’s depth position in real space (the environment where images are shot) and stereoscopic image space (the reproduced environment) are Lb and Ld, respectively, then the relationship between these values obeys the following formula using the parameters of Table 1 and the geometrical relationship of the system configuration shown in Fig. 3.
In a parallel configuration, we can set Lc→∞ and Hc = de. In a toed-in configuration, we can set Hc = 0.
Table 2 shows the results of using equation (1) to investigate how the depth position Ld in the reproduced image and the actual depth position (the original camera-to-object distance) Lb are expressed in systems with parallel and toed-in configurations.
In Table 2, no consideration is given to the keystone distortion of the image shape that occurs in toed-in configurations. In other words, this table shows the characteristics at the centre of the image where keystone distortion has little effect.
In the parallel configuration, Lb and Ld obey a proportional relationship regardless of the parameter settings. On the other hand, in the toed-in configuration, Lb and Ld are equal only for a certain specific combination of parameters (Lc = a1·a2·Ls), but otherwise have a non-linear relationship. The graph of Table 2 indicates that different characteristics are exhibited depending on the sizes of Lc and a1·a2·Ls.
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