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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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SMPTE 240M, 1125-Line High-<br />

Definition Production Systems –<br />

Signal Parameters.<br />

In 1993, CCIR was renamed<br />

ITU-R.<br />

ITU-R Rec. BT.1361, Worldwide<br />

unified colorimetry and related<br />

characteristics of future television<br />

and imaging systems.<br />

SMPTE 240M transfer function<br />

SMPTE Standard 240M for 1125/60, 1035i30 HDTV<br />

was adopted two years before Rec. 709 was adopted.<br />

Virtually all HDTV equipment deployed between 1988<br />

and 1998 uses the SMPTE 240M parameters. SMPTE<br />

and ATSC standards for HDTV now specify Rec. 709<br />

parameters; however, the standards previously accommodated<br />

an “interim implementation” having the identical<br />

transfer function to SMPTE 240M. SMPTE 240M’s<br />

transfer function is this:<br />

⎧⎪<br />

4. 0L; 0 ≤ L<<br />

0. 0228<br />

V'240<br />

= ⎨ 045 .<br />

⎩⎪ 1. 1115L −0. 1115; 0. 0228 ≤ L≤1<br />

Eq 23.5<br />

To recover scene tristimulus values, use this relation:<br />

⎧V'240<br />

⎪ ; 0 ≤ V'240<br />

< 0. 0913<br />

⎪ 40 .<br />

L = ⎨<br />

1<br />

⎪⎛<br />

V'240<br />

+ 0. 1115⎞<br />

045 .<br />

⎪⎜<br />

⎟ ; 0. 0913 ≤V'240 ≤1<br />

⎩⎝<br />

1. 1115 ⎠<br />

Eq 23.6<br />

The difference between the SMPTE 240M and Rec. 709<br />

transfer functions is negligible for real images. It is<br />

a shame that international agreement could not have<br />

been reached on the SMPTE 240M parameters that<br />

were widely implemented in 1990, when the CCIR<br />

discussions were taking place. The transfer function of<br />

Rec. 709 is closely representative of current studio<br />

practice, and should be used for all but very unusual<br />

conditions.<br />

Rec. 1361 transfer function<br />

Rec. 1361 is intended to enable future HDTV systems<br />

to achieve wider color gamut than Rec. 709, through<br />

use of tristimulus signals having negative values and<br />

values greater than unity. The Rec. 1361 transfer function<br />

is identical to Rec. 709’s for RGB tristimulus values<br />

within Rec. 709’s range, that is, between 0 and 1. Tristimulus<br />

values from -1 ⁄4 to zero are subject to a transfer<br />

function that is Rec. 709’s function mirrored, and scaled<br />

by a factor of 1 ⁄4, on both axes. Tristimulus values from<br />

unity to + 4 ⁄3 are subject to a straightforward extension<br />

of the Rec. 709 curve.<br />

CHAPTER 23 GAMMA 265

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