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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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Introduction to luma<br />

and chroma 10<br />

Video systems convey image data in the form of one<br />

component that represents lightness, and two components<br />

that represent color, disregarding lightness. This<br />

scheme exploits the reduced color acuity of vision<br />

compared to luminance acuity: As long as lightness is<br />

conveyed with full detail, detail in the color components<br />

can be reduced by subsampling (filtering, or averaging).<br />

This chapter introduces the concepts of luma<br />

and chroma encoding; details will be presented in Luma<br />

and color differences, on page 281.<br />

Luma<br />

A certain amount of noise is inevitable in any image<br />

digitizing system. As explained in Nonlinear image<br />

coding, on page 12, we arrange things so that noise has<br />

a perceptually similar effect across the entire tone scale<br />

from black to white. The lightness component is<br />

conveyed in a perceptually uniform manner that minimizes<br />

the amount of noise (or quantization error) introduced<br />

in processing, recording, and transmission.<br />

Ideally, noise would be minimized by forming a signal<br />

proportional to CIE luminance, as a suitably weighted<br />

sum of linear R, G, and B tristimulus signals. Then, this<br />

signal would be subjected to a transfer function that<br />

imposes perceptual uniformity, such as the CIE L* function<br />

of color science that will be detailed on page 208.<br />

As explained in Constant luminance, on page 75, there<br />

are practical reasons in video to perform these operations<br />

in the opposite order. First, a nonlinear transfer<br />

function – gamma correction – is applied to each of the<br />

87

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