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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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G/PAL See PAL-B/G/H, on page 640.<br />

(or with [Y’, P B , P R ], respectively). G’ associates with Y’ because<br />

green dominates luma. Properly written with primes, but sometimes<br />

sloppily written GBR.<br />

Gamma, decoding (γ D ) The numerical value (greater than unity) of the exponent to which<br />

a video component R’, G’, or B’ is raised, by a power function of<br />

the form (V’) γ D, to obtain a linear-light (luminance or tristimulus)<br />

value. A 5⁄ 2 -power function is inherent in the electron gun of<br />

a CRT display, so decoding gamma typically has the numerical<br />

value 2.5; this value characterizes a display system. The value is<br />

important throughout a video system because the approximate<br />

inverse power function is applied at the camera; R’, G’, and B’<br />

signals, and the derivative luma signal Y’, are conveyed in gammacorrected<br />

form throughout the system.<br />

Gamma, encoding (γ E ) The numerical value (smaller than unity) of the exponent to which<br />

a linear-light (luminance or tristimulus) signal is raised, by a power<br />

function of the form L γ E, to obtain a video signal R’, G’, or B’.<br />

(Subsequently, luma, Y’, is computed.) Encoding gamma today<br />

typically has a value close to 0.5, though the 1953 NTSC and FCC<br />

standards mention 1 ⁄2.2, and 576i standards mention 1 ⁄2.8. For<br />

television, encoding gamma is typically about 1.25 times the<br />

reciprocal of the display gamma; see Rendering intent, on<br />

page 644. Encoding gamma properly has a value less than unity,<br />

though sometimes its reciprocal is quoted.<br />

Gamma, system The product of all of the power function exponents to which<br />

image data is subjected as it traverses a set of subsystems, starting<br />

from linear-light components captured from a scene by a camera<br />

(or from linear-light components captured from a previously<br />

reproduced image by a scanner), and ending with linear-light<br />

components reproduced at an image display. The term is best<br />

avoided owing to the difficulty of identifying exactly what constitutes<br />

the “system,” and because it is used so widely without any<br />

consideration of rendering intent.<br />

Gamma See Gamma, decoding (γ D ), and Gamma, encoding (γ E ), above.<br />

Gamma-corrected A signal to which gamma correction has been applied – that is,<br />

a linear-light signal, such as a tristimulus value, raised to a power<br />

in the range 0.4 to 0.5; see Gamma, encoding (γ E ), above.<br />

Because gamma correction produces a video signal that mimics<br />

the lightness sensitivity of human vision, a gamma-corrected<br />

signal exhibits good perceptual uniformity: Noise or quantization<br />

error introduced into the signal is approximately equally perceptible<br />

across the tone range of the system from black to white.<br />

(Gamma correction also compensates for the nonlinear voltageto-luminance<br />

transfer function inherent in a CRT display.)<br />

Gamma correction The process by which a quantity proportional to intensity, such as<br />

CIE luminance or some other tristimulus signal, is transformed<br />

into a signal by a power function with an exponent in the range<br />

0.4 to 0.5. See Gamma, encoding (γ E ), above. In video, gamma<br />

630 DIGITAL VIDEO AND HDTV ALGORITHMS AND INTERFACES

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