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Rec. ITU-R BT.2100-0 5<br />

Parameter<br />

Reference PQ OETF<br />

Use of this OETF will yield<br />

the reference OOTF when<br />

displayed on a reference<br />

monitor employ<strong>in</strong>g the<br />

reference EOTF.<br />

where<br />

TABLE 4 (end)<br />

E<br />

OETF<br />

E<br />

EOTF<br />

Y F<br />

EOTF<br />

1<br />

D<br />

Values<br />

1<br />

1<br />

OOTF E<br />

<br />

EOTF <br />

c1<br />

c2Y<br />

FD<br />

<br />

<br />

1<br />

c3Y<br />

10000<br />

E′ is the result<strong>in</strong>g non-l<strong>in</strong>ear signal (R', G', B') <strong>in</strong> the <strong>range</strong> [0:1]<br />

F D, E, are as specified <strong>in</strong> the opto-optical transfer function<br />

m 1, m 2, c 1, c 2, c 3 are as specified <strong>in</strong> the electro-optical transfer function<br />

NOTE 4a – This same non-l<strong>in</strong>earity (<strong>and</strong> its <strong>in</strong>verse) should be <strong>use</strong>d when it is necessary to convert between<br />

the non-l<strong>in</strong>ear representation <strong>and</strong> the l<strong>in</strong>ear representations.<br />

NOTE 4b –In this Recommendation, when refer<strong>in</strong>g to the lum<strong>in</strong>ance of a s<strong>in</strong>gle colour component (R D, G D,<br />

B D), it means the lum<strong>in</strong>ance of an equivalent achromatic signal with all three colour components hav<strong>in</strong>g that<br />

same value.<br />

m1<br />

m1<br />

<br />

<br />

<br />

m2<br />

F D<br />

TABLE 5<br />

Hybrid Log-Gamma (HLG) system reference non-l<strong>in</strong>ear transfer functions<br />

Parameter<br />

Input signal to HLG OETF<br />

HLG Reference OETF 5a<br />

Input signal to HLG EOTF<br />

Values<br />

Scene l<strong>in</strong>ear light.<br />

The OETF maps relative scene l<strong>in</strong>ear light <strong>in</strong>to the non-l<strong>in</strong>ear signal value.<br />

E<br />

OETF<br />

E<br />

E 2<br />

<br />

a<br />

lnE<br />

b<br />

c<br />

0 E 1<br />

1<br />

E<br />

where:<br />

E is the signal <strong>for</strong> each colour component {R S, G S, B S} proportional to scene<br />

l<strong>in</strong>ear light <strong>and</strong> scaled by camera exposure, normalized to the <strong>range</strong> [0:12]. 5b<br />

E′ is the result<strong>in</strong>g non-l<strong>in</strong>ear signal {R', G', B'} <strong>in</strong> the <strong>range</strong> [0:1] .<br />

a = 0.17883277, b = 0.28466892, c = 0.55991073<br />

Non-l<strong>in</strong>ear HLG encoded value.<br />

The EOTF maps the non-l<strong>in</strong>ear HLG signal <strong>in</strong>to display light.

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