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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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In Color science for video, on<br />

page 233, I will describe how<br />

spectral power distributions<br />

(SPDs) in the range 400 nm to<br />

700 nm are related to colors.<br />

The term luminance is often carelessly<br />

and incorrectly used to refer<br />

to luma. See Relative luminance,<br />

on page 206, and Appendix A,<br />

YUV and luminance considered<br />

harmful, on page 595.<br />

Luminance and lightness 20<br />

Nonlinear coding of luminance is essential to maximize<br />

the perceptual performance of an image coding system.<br />

This chapter introduces luminance and lightness, or<br />

what is loosely called brightness.<br />

Luminance, denoted Y, is what I call a linear-light quantity;<br />

it is directly proportional to physical intensity<br />

weighted by the spectral sensitivity of human vision.<br />

Luminance involves light having wavelengths in the<br />

range of about 400 nm to 700 nm; luminance can be<br />

computed as a properly weighted sum of linear-light<br />

red, green, and blue tristimulus components, according<br />

to the principles and standards of the CIE.<br />

Lightness, denoted L*, is defined by the CIE as a<br />

nonlinear transfer function of luminance that approximates<br />

the perception of brightness.<br />

In video, we do not compute the linear-light luminance<br />

of color science; nor do we compute lightness. Instead,<br />

we compute an approximation of lightness, luma<br />

(denoted Y’) as a weighted sum of nonlinear (gammacorrected)<br />

R’, G’, and B’ components. Luma is only<br />

loosely related to true (CIE) luminance. In Constant<br />

luminance, on page 75, I explained why video systems<br />

approximate lightness instead of computing it directly.<br />

I will detail the nonlinear coding used in video in<br />

Gamma, on page 257. In Luma and color differences, on<br />

page 281, I will outline how luma is augmented with<br />

color information.<br />

203

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