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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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The importance of rendering intent,<br />

and the consequent requirement<br />

for different exponents for<br />

encoding (γ D ) and decoding (γ D ),<br />

has been poorly recognized and<br />

poorly documented in the development<br />

of video.<br />

Eq 23.1<br />

γ ≈ 05 . ; γ ≈ 25 . ;<br />

E D<br />

γ ⋅γ ≈125<br />

.<br />

E D<br />

As I explained in Rendering intent, on page 81, it is<br />

important for perceptual reasons to alter the tone scale<br />

of an image reproduced at a luminance substantially<br />

lower than that of the original scene, reproduced with<br />

limited contrast ratio, or viewed in a dim surround. The<br />

dim surround condition is characteristic of television<br />

viewing. In video, the alteration is accomplished at the<br />

camera by slightly undercompensating the actual power<br />

function of the CRT, to obtain an end-to-end power<br />

function whose exponent is about 1.25, as indicated in<br />

Equation 23.1 in the margin. This achieves end-to-end<br />

reproduction that is subjectively correct (though not<br />

mathematically linear).<br />

Optoelectronic transfer functions (OETFs)<br />

Unfortunately, several different transfer functions have<br />

been standardized and are in use. In the sections to<br />

follow, I will detail these transfer function standards:<br />

• Rec. 709 is an international standard that specifies the<br />

basic parameters of HDTV. Although the Rec. 709<br />

transfer function is intended for HDTV, it is representative<br />

of current SDTV technology, and it is being retrofitted<br />

into SDTV studio standards.<br />

• SMPTE 240M was the first studio HDTV standard; its<br />

transfer function remains in use in some HDTV equipment<br />

deployed today. Recent revisions of SMPTE standards<br />

call for the Rec. 709 transfer function, but<br />

previous revisions allowed an “interim implementation”<br />

using the transfer function of SMPTE 240M-1988.<br />

• Rec. 1361 extends the Rec. 709 coding to accommodate<br />

a wide color gamut; it is not yet deployed.<br />

• sRGB refers to a transfer function used in PCs.<br />

• The transfer function of the original 1953 NTSC specification,<br />

often written 1 ⁄2.2, has been effectively superseded<br />

by Rec. 709.<br />

• The transfer function of European specifications for<br />

576i, often written 1 ⁄2.8, has been effectively superseded<br />

by Rec. 709.<br />

262 DIGITAL VIDEO AND HDTV ALGORITHMS AND INTERFACES

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