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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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Many video engineers are<br />

unfamiliar with color science. They<br />

consider only the first of these two<br />

purposes, and disregard, or remain<br />

ignorant of, the great importance<br />

of perceptually uniform coding.<br />

Original<br />

scene<br />

Gamma in video<br />

In a video system, gamma correction is applied at the<br />

camera for the dual purposes of precompensating the<br />

nonlinearity of the display’s CRT and coding into<br />

perceptually uniform space. Figure 23.2 summarizes the<br />

image reproduction situation for video. At the left,<br />

gamma correction is imposed at the camera; at the<br />

right, the display imposes the inverse function.<br />

Coding into a perceptual domain was important in the<br />

early days of television because of the need to minimize<br />

the noise introduced by over-the-air analog transmission.<br />

However, the same considerations of noise<br />

visibility apply to analog videotape recording. These<br />

considerations also apply to the quantization error that<br />

is introduced upon digitization, when a signal representing<br />

luminance is quantized to a limited number of<br />

bits. Consequently, it is universal to convey video<br />

signals in gamma-corrected form.<br />

processing, and<br />

transmission<br />

system<br />

Scanner/<br />

camera Recording,<br />

Display<br />

Reproduced<br />

image<br />

Figure 23.2 Image reproduction in video.<br />

Luminance from the scene is reproduced at the<br />

display, with a suitable scale factor because we do not seek<br />

to reproduce the absolute luminance level of the scene. However,<br />

the ability of vision to detect that two luminance levels differ is not<br />

uniform from black to white, but is approximately a constant ratio – about 1% –<br />

of the luminance. In video, luminance from the scene is transformed by a function similar<br />

to a square root into a nonlinear, perceptually uniform signal that is transmitted. The<br />

camera is designed to mimic the human visual system, in order to “see” lightness in the<br />

scene the same way that a human observer would. Noise introduced by the transmission<br />

system then has minimum perceptual impact. The nonlinear signal is transformed back to<br />

luminance at the display. In a CRT, a 2.5-power function is intrinsic.<br />

Observer<br />

CHAPTER 23 GAMMA 261

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