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1.. -*- coding: utf-8; mode: rst -*-
2
3********************************
4Detailed Colorspace Descriptions
5********************************
6
7
8.. _col-smpte-170m:
9
10Colorspace SMPTE 170M (V4L2_COLORSPACE_SMPTE170M)
11=================================================
12
13The :ref:`smpte170m` standard defines the colorspace used by NTSC and
14PAL and by SDTV in general. The default transfer function is
15``V4L2_XFER_FUNC_709``. The default Y'CbCr encoding is
16``V4L2_YCBCR_ENC_601``. The default Y'CbCr quantization is limited
17range. The chromaticities of the primary colors and the white reference
18are:
19
20
21
22.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
23
24.. flat-table:: SMPTE 170M Chromaticities
25    :header-rows:  1
26    :stub-columns: 0
27    :widths:       1 1 2
28
29    * - Color
30      - x
31      - y
32    * - Red
33      - 0.630
34      - 0.340
35    * - Green
36      - 0.310
37      - 0.595
38    * - Blue
39      - 0.155
40      - 0.070
41    * - White Reference (D65)
42      - 0.3127
43      - 0.3290
44
45
46The red, green and blue chromaticities are also often referred to as the
47SMPTE C set, so this colorspace is sometimes called SMPTE C as well.
48
49The transfer function defined for SMPTE 170M is the same as the one
50defined in Rec. 709.
51
52.. math::
53
54    L' = -1.099(-L)^{0.45} + 0.099 \text{, for } L \le-0.018
55
56    L' = 4.5L \text{, for } -0.018 < L < 0.018
57
58    L' = 1.099L^{0.45} - 0.099 \text{, for } L \ge 0.018
59
60Inverse Transfer function:
61
62.. math::
63
64    L = -\left( \frac{L' - 0.099}{-1.099} \right) ^{\frac{1}{0.45}} \text{, for } L' \le -0.081
65
66    L = \frac{L'}{4.5} \text{, for } -0.081 < L' < 0.081
67
68    L = \left(\frac{L' + 0.099}{1.099}\right)^{\frac{1}{0.45} } \text{, for } L' \ge 0.081
69
70The luminance (Y') and color difference (Cb and Cr) are obtained with
71the following ``V4L2_YCBCR_ENC_601`` encoding:
72
73.. math::
74
75    Y' = 0.2990R' + 0.5870G' + 0.1140B'
76
77    Cb = -0.1687R' - 0.3313G' + 0.5B'
78
79    Cr = 0.5R' - 0.4187G' - 0.0813B'
80
81Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
82[-0.5…0.5]. This conversion to Y'CbCr is identical to the one defined in
83the :ref:`itu601` standard and this colorspace is sometimes called
84BT.601 as well, even though BT.601 does not mention any color primaries.
85
86The default quantization is limited range, but full range is possible
87although rarely seen.
88
89
90.. _col-rec709:
91
92Colorspace Rec. 709 (V4L2_COLORSPACE_REC709)
93============================================
94
95The :ref:`itu709` standard defines the colorspace used by HDTV in
96general. The default transfer function is ``V4L2_XFER_FUNC_709``. The
97default Y'CbCr encoding is ``V4L2_YCBCR_ENC_709``. The default Y'CbCr
98quantization is limited range. The chromaticities of the primary colors
99and the white reference are:
100
101
102
103.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
104
105.. flat-table:: Rec. 709 Chromaticities
106    :header-rows:  1
107    :stub-columns: 0
108    :widths:       1 1 2
109
110    * - Color
111      - x
112      - y
113    * - Red
114      - 0.640
115      - 0.330
116    * - Green
117      - 0.300
118      - 0.600
119    * - Blue
120      - 0.150
121      - 0.060
122    * - White Reference (D65)
123      - 0.3127
124      - 0.3290
125
126
127The full name of this standard is Rec. ITU-R BT.709-5.
128
129Transfer function. Normally L is in the range [0…1], but for the
130extended gamut xvYCC encoding values outside that range are allowed.
131
132.. math::
133
134    L' = -1.099(-L)^{0.45} + 0.099 \text{, for } L \le -0.018
135
136    L' = 4.5L \text{, for } -0.018 < L < 0.018
137
138    L' = 1.099L^{0.45} - 0.099 \text{, for } L \ge 0.018
139
140Inverse Transfer function:
141
142.. math::
143
144    L = -\left( \frac{L' - 0.099}{-1.099} \right)^\frac{1}{0.45} \text{, for } L' \le -0.081
145
146    L = \frac{L'}{4.5}\text{, for } -0.081 < L' < 0.081
147
148    L = \left(\frac{L' + 0.099}{1.099}\right)^{\frac{1}{0.45} } \text{, for } L' \ge 0.081
149
150The luminance (Y') and color difference (Cb and Cr) are obtained with
151the following ``V4L2_YCBCR_ENC_709`` encoding:
152
153.. math::
154
155    Y' = 0.2126R' + 0.7152G' + 0.0722B'
156
157    Cb = -0.1146R' - 0.3854G' + 0.5B'
158
159    Cr = 0.5R' - 0.4542G' - 0.0458B'
160
161Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
162[-0.5…0.5].
163
164The default quantization is limited range, but full range is possible
165although rarely seen.
166
167The ``V4L2_YCBCR_ENC_709`` encoding described above is the default for
168this colorspace, but it can be overridden with ``V4L2_YCBCR_ENC_601``,
169in which case the BT.601 Y'CbCr encoding is used.
170
171Two additional extended gamut Y'CbCr encodings are also possible with
172this colorspace:
173
174The xvYCC 709 encoding (``V4L2_YCBCR_ENC_XV709``, :ref:`xvycc`) is
175similar to the Rec. 709 encoding, but it allows for R', G' and B' values
176that are outside the range [0…1]. The resulting Y', Cb and Cr values are
177scaled and offset according to the limited range formula:
178
179.. math::
180
181    Y' = \frac{219}{256} * (0.2126R' + 0.7152G' + 0.0722B') + \frac{16}{256}
182
183    Cb = \frac{224}{256} * (-0.1146R' - 0.3854G' + 0.5B')
184
185    Cr = \frac{224}{256} * (0.5R' - 0.4542G' - 0.0458B')
186
187The xvYCC 601 encoding (``V4L2_YCBCR_ENC_XV601``, :ref:`xvycc`) is
188similar to the BT.601 encoding, but it allows for R', G' and B' values
189that are outside the range [0…1]. The resulting Y', Cb and Cr values are
190scaled and offset according to the limited range formula:
191
192.. math::
193
194    Y' = \frac{219}{256} * (0.2990R' + 0.5870G' + 0.1140B') + \frac{16}{256}
195
196    Cb = \frac{224}{256} * (-0.1687R' - 0.3313G' + 0.5B')
197
198    Cr = \frac{224}{256} * (0.5R' - 0.4187G' - 0.0813B')
199
200Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
201[-0.5…0.5] and quantized without further scaling or offsets.
202The non-standard xvYCC 709 or xvYCC 601 encodings can be
203used by selecting ``V4L2_YCBCR_ENC_XV709`` or ``V4L2_YCBCR_ENC_XV601``.
204As seen by the xvYCC formulas these encodings always use limited range quantization,
205there is no full range variant. The whole point of these extended gamut encodings
206is that values outside the limited range are still valid, although they
207map to R', G' and B' values outside the [0…1] range and are therefore outside
208the Rec. 709 colorspace gamut.
209
210
211.. _col-srgb:
212
213Colorspace sRGB (V4L2_COLORSPACE_SRGB)
214======================================
215
216The :ref:`srgb` standard defines the colorspace used by most webcams
217and computer graphics. The default transfer function is
218``V4L2_XFER_FUNC_SRGB``. The default Y'CbCr encoding is
219``V4L2_YCBCR_ENC_601``. The default Y'CbCr quantization is limited range.
220
221Note that the :ref:`sycc` standard specifies full range quantization,
222however all current capture hardware supported by the kernel convert
223R'G'B' to limited range Y'CbCr. So choosing full range as the default
224would break how applications interpret the quantization range.
225
226The chromaticities of the primary colors and the white reference are:
227
228
229
230.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
231
232.. flat-table:: sRGB Chromaticities
233    :header-rows:  1
234    :stub-columns: 0
235    :widths:       1 1 2
236
237    * - Color
238      - x
239      - y
240    * - Red
241      - 0.640
242      - 0.330
243    * - Green
244      - 0.300
245      - 0.600
246    * - Blue
247      - 0.150
248      - 0.060
249    * - White Reference (D65)
250      - 0.3127
251      - 0.3290
252
253
254These chromaticities are identical to the Rec. 709 colorspace.
255
256Transfer function. Note that negative values for L are only used by the
257Y'CbCr conversion.
258
259.. math::
260
261    L' = -1.055(-L)^{\frac{1}{2.4} } + 0.055\text{, for }L < -0.0031308
262
263    L' = 12.92L\text{, for }-0.0031308 \le L \le 0.0031308
264
265    L' = 1.055L ^{\frac{1}{2.4} } - 0.055\text{, for }0.0031308 < L \le 1
266
267Inverse Transfer function:
268
269.. math::
270
271    L = -((-L' + 0.055) / 1.055) ^{2.4}\text{, for }L' < -0.04045
272
273    L = L' / 12.92\text{, for }-0.04045 \le L' \le 0.04045
274
275    L = ((L' + 0.055) / 1.055) ^{2.4}\text{, for }L' > 0.04045
276
277The luminance (Y') and color difference (Cb and Cr) are obtained with
278the following ``V4L2_YCBCR_ENC_601`` encoding as defined by :ref:`sycc`:
279
280.. math::
281
282    Y' = 0.2990R' + 0.5870G' + 0.1140B'
283
284    Cb = -0.1687R' - 0.3313G' + 0.5B'
285
286    Cr = 0.5R' - 0.4187G' - 0.0813B'
287
288Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
289[-0.5…0.5]. This transform is identical to one defined in SMPTE
290170M/BT.601. The Y'CbCr quantization is limited range.
291
292
293.. _col-oprgb:
294
295Colorspace opRGB (V4L2_COLORSPACE_OPRGB)
296===============================================
297
298The :ref:`oprgb` standard defines the colorspace used by computer
299graphics that use the opRGB colorspace. The default transfer function is
300``V4L2_XFER_FUNC_OPRGB``. The default Y'CbCr encoding is
301``V4L2_YCBCR_ENC_601``. The default Y'CbCr quantization is limited
302range.
303
304Note that the :ref:`oprgb` standard specifies full range quantization,
305however all current capture hardware supported by the kernel convert
306R'G'B' to limited range Y'CbCr. So choosing full range as the default
307would break how applications interpret the quantization range.
308
309The chromaticities of the primary colors and the white reference are:
310
311
312.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
313
314.. flat-table:: opRGB Chromaticities
315    :header-rows:  1
316    :stub-columns: 0
317    :widths:       1 1 2
318
319    * - Color
320      - x
321      - y
322    * - Red
323      - 0.6400
324      - 0.3300
325    * - Green
326      - 0.2100
327      - 0.7100
328    * - Blue
329      - 0.1500
330      - 0.0600
331    * - White Reference (D65)
332      - 0.3127
333      - 0.3290
334
335
336
337Transfer function:
338
339.. math::
340
341    L' = L ^{\frac{1}{2.19921875}}
342
343Inverse Transfer function:
344
345.. math::
346
347    L = L'^{(2.19921875)}
348
349The luminance (Y') and color difference (Cb and Cr) are obtained with
350the following ``V4L2_YCBCR_ENC_601`` encoding:
351
352.. math::
353
354    Y' = 0.2990R' + 0.5870G' + 0.1140B'
355
356    Cb = -0.1687R' - 0.3313G' + 0.5B'
357
358    Cr = 0.5R' - 0.4187G' - 0.0813B'
359
360Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
361[-0.5…0.5]. This transform is identical to one defined in SMPTE
362170M/BT.601. The Y'CbCr quantization is limited range.
363
364
365.. _col-bt2020:
366
367Colorspace BT.2020 (V4L2_COLORSPACE_BT2020)
368===========================================
369
370The :ref:`itu2020` standard defines the colorspace used by Ultra-high
371definition television (UHDTV). The default transfer function is
372``V4L2_XFER_FUNC_709``. The default Y'CbCr encoding is
373``V4L2_YCBCR_ENC_BT2020``. The default R'G'B' quantization is limited
374range (!), and so is the default Y'CbCr quantization. The chromaticities
375of the primary colors and the white reference are:
376
377
378
379.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
380
381.. flat-table:: BT.2020 Chromaticities
382    :header-rows:  1
383    :stub-columns: 0
384    :widths:       1 1 2
385
386    * - Color
387      - x
388      - y
389    * - Red
390      - 0.708
391      - 0.292
392    * - Green
393      - 0.170
394      - 0.797
395    * - Blue
396      - 0.131
397      - 0.046
398    * - White Reference (D65)
399      - 0.3127
400      - 0.3290
401
402
403
404Transfer function (same as Rec. 709):
405
406.. math::
407
408    L' = 4.5L\text{, for }0 \le L < 0.018
409
410    L' = 1.099L ^{0.45} - 0.099\text{, for } 0.018 \le L \le 1
411
412Inverse Transfer function:
413
414.. math::
415
416    L = L' / 4.5\text{, for } L' < 0.081
417
418    L = \left( \frac{L' + 0.099}{1.099}\right) ^{\frac{1}{0.45} }\text{, for } L' \ge 0.081
419
420Please note that while Rec. 709 is defined as the default transfer function
421by the :ref:`itu2020` standard, in practice this colorspace is often used
422with the :ref:`xf-smpte-2084`. In particular Ultra HD Blu-ray discs use
423this combination.
424
425The luminance (Y') and color difference (Cb and Cr) are obtained with
426the following ``V4L2_YCBCR_ENC_BT2020`` encoding:
427
428.. math::
429
430    Y' = 0.2627R' + 0.6780G' + 0.0593B'
431
432    Cb = -0.1396R' - 0.3604G' + 0.5B'
433
434    Cr = 0.5R' - 0.4598G' - 0.0402B'
435
436Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
437[-0.5…0.5]. The Y'CbCr quantization is limited range.
438
439There is also an alternate constant luminance R'G'B' to Yc'CbcCrc
440(``V4L2_YCBCR_ENC_BT2020_CONST_LUM``) encoding:
441
442Luma:
443
444.. math::
445    :nowrap:
446
447    \begin{align*}
448    Yc' = (0.2627R + 0.6780G + 0.0593B)'& \\
449    B' - Yc' \le 0:& \\
450        &Cbc = (B' - Yc') / 1.9404 \\
451    B' - Yc' > 0: & \\
452        &Cbc = (B' - Yc') / 1.5816 \\
453    R' - Yc' \le 0:& \\
454        &Crc = (R' - Y') / 1.7184 \\
455    R' - Yc' > 0:& \\
456        &Crc = (R' - Y') / 0.9936
457    \end{align*}
458
459Yc' is clamped to the range [0…1] and Cbc and Crc are clamped to the
460range [-0.5…0.5]. The Yc'CbcCrc quantization is limited range.
461
462
463.. _col-dcip3:
464
465Colorspace DCI-P3 (V4L2_COLORSPACE_DCI_P3)
466==========================================
467
468The :ref:`smpte431` standard defines the colorspace used by cinema
469projectors that use the DCI-P3 colorspace. The default transfer function
470is ``V4L2_XFER_FUNC_DCI_P3``. The default Y'CbCr encoding is
471``V4L2_YCBCR_ENC_709``. The default Y'CbCr quantization is limited range.
472
473.. note::
474
475   Note that this colorspace standard does not specify a
476   Y'CbCr encoding since it is not meant to be encoded to Y'CbCr. So this
477   default Y'CbCr encoding was picked because it is the HDTV encoding.
478
479The chromaticities of the primary colors and the white reference are:
480
481
482
483.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
484
485.. flat-table:: DCI-P3 Chromaticities
486    :header-rows:  1
487    :stub-columns: 0
488    :widths:       1 1 2
489
490    * - Color
491      - x
492      - y
493    * - Red
494      - 0.6800
495      - 0.3200
496    * - Green
497      - 0.2650
498      - 0.6900
499    * - Blue
500      - 0.1500
501      - 0.0600
502    * - White Reference
503      - 0.3140
504      - 0.3510
505
506
507
508Transfer function:
509
510.. math::
511
512    L' = L^{\frac{1}{2.6}}
513
514Inverse Transfer function:
515
516.. math::
517
518    L = L'^{(2.6)}
519
520Y'CbCr encoding is not specified. V4L2 defaults to Rec. 709.
521
522
523.. _col-smpte-240m:
524
525Colorspace SMPTE 240M (V4L2_COLORSPACE_SMPTE240M)
526=================================================
527
528The :ref:`smpte240m` standard was an interim standard used during the
529early days of HDTV (1988-1998). It has been superseded by Rec. 709. The
530default transfer function is ``V4L2_XFER_FUNC_SMPTE240M``. The default
531Y'CbCr encoding is ``V4L2_YCBCR_ENC_SMPTE240M``. The default Y'CbCr
532quantization is limited range. The chromaticities of the primary colors
533and the white reference are:
534
535
536
537.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
538
539.. flat-table:: SMPTE 240M Chromaticities
540    :header-rows:  1
541    :stub-columns: 0
542    :widths:       1 1 2
543
544    * - Color
545      - x
546      - y
547    * - Red
548      - 0.630
549      - 0.340
550    * - Green
551      - 0.310
552      - 0.595
553    * - Blue
554      - 0.155
555      - 0.070
556    * - White Reference (D65)
557      - 0.3127
558      - 0.3290
559
560
561These chromaticities are identical to the SMPTE 170M colorspace.
562
563Transfer function:
564
565.. math::
566
567    L' = 4L\text{, for } 0 \le L < 0.0228
568
569    L' = 1.1115L ^{0.45} - 0.1115\text{, for } 0.0228 \le L \le 1
570
571Inverse Transfer function:
572
573.. math::
574
575    L = \frac{L'}{4}\text{, for } 0 \le L' < 0.0913
576
577    L = \left( \frac{L' + 0.1115}{1.1115}\right) ^{\frac{1}{0.45} }\text{, for } L' \ge 0.0913
578
579The luminance (Y') and color difference (Cb and Cr) are obtained with
580the following ``V4L2_YCBCR_ENC_SMPTE240M`` encoding:
581
582.. math::
583
584    Y' = 0.2122R' + 0.7013G' + 0.0865B'
585
586    Cb = -0.1161R' - 0.3839G' + 0.5B'
587
588    Cr = 0.5R' - 0.4451G' - 0.0549B'
589
590Y' is clamped to the range [0…1] and Cb and Cr are clamped to the
591range [-0.5…0.5]. The Y'CbCr quantization is limited range.
592
593
594.. _col-sysm:
595
596Colorspace NTSC 1953 (V4L2_COLORSPACE_470_SYSTEM_M)
597===================================================
598
599This standard defines the colorspace used by NTSC in 1953. In practice
600this colorspace is obsolete and SMPTE 170M should be used instead. The
601default transfer function is ``V4L2_XFER_FUNC_709``. The default Y'CbCr
602encoding is ``V4L2_YCBCR_ENC_601``. The default Y'CbCr quantization is
603limited range. The chromaticities of the primary colors and the white
604reference are:
605
606
607
608.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
609
610.. flat-table:: NTSC 1953 Chromaticities
611    :header-rows:  1
612    :stub-columns: 0
613    :widths:       1 1 2
614
615    * - Color
616      - x
617      - y
618    * - Red
619      - 0.67
620      - 0.33
621    * - Green
622      - 0.21
623      - 0.71
624    * - Blue
625      - 0.14
626      - 0.08
627    * - White Reference (C)
628      - 0.310
629      - 0.316
630
631
632.. note::
633
634   This colorspace uses Illuminant C instead of D65 as the white
635   reference. To correctly convert an image in this colorspace to another
636   that uses D65 you need to apply a chromatic adaptation algorithm such as
637   the Bradford method.
638
639The transfer function was never properly defined for NTSC 1953. The Rec.
640709 transfer function is recommended in the literature:
641
642.. math::
643
644    L' = 4.5L\text{, for } 0 \le L < 0.018
645
646    L' = 1.099L ^{0.45} - 0.099\text{, for } 0.018 \le L \le 1
647
648Inverse Transfer function:
649
650.. math::
651
652    L = \frac{L'}{4.5} \text{, for } L' < 0.081
653
654    L = \left( \frac{L' + 0.099}{1.099}\right) ^{\frac{1}{0.45} }\text{, for } L' \ge 0.081
655
656The luminance (Y') and color difference (Cb and Cr) are obtained with
657the following ``V4L2_YCBCR_ENC_601`` encoding:
658
659.. math::
660
661    Y' = 0.2990R' + 0.5870G' + 0.1140B'
662
663    Cb = -0.1687R' - 0.3313G' + 0.5B'
664
665    Cr = 0.5R' - 0.4187G' - 0.0813B'
666
667Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
668[-0.5…0.5]. The Y'CbCr quantization is limited range. This transform is
669identical to one defined in SMPTE 170M/BT.601.
670
671
672.. _col-sysbg:
673
674Colorspace EBU Tech. 3213 (V4L2_COLORSPACE_470_SYSTEM_BG)
675=========================================================
676
677The :ref:`tech3213` standard defines the colorspace used by PAL/SECAM
678in 1975. In practice this colorspace is obsolete and SMPTE 170M should
679be used instead. The default transfer function is
680``V4L2_XFER_FUNC_709``. The default Y'CbCr encoding is
681``V4L2_YCBCR_ENC_601``. The default Y'CbCr quantization is limited
682range. The chromaticities of the primary colors and the white reference
683are:
684
685
686
687.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
688
689.. flat-table:: EBU Tech. 3213 Chromaticities
690    :header-rows:  1
691    :stub-columns: 0
692    :widths:       1 1 2
693
694    * - Color
695      - x
696      - y
697    * - Red
698      - 0.64
699      - 0.33
700    * - Green
701      - 0.29
702      - 0.60
703    * - Blue
704      - 0.15
705      - 0.06
706    * - White Reference (D65)
707      - 0.3127
708      - 0.3290
709
710
711
712The transfer function was never properly defined for this colorspace.
713The Rec. 709 transfer function is recommended in the literature:
714
715.. math::
716
717    L' = 4.5L\text{, for } 0 \le L < 0.018
718
719    L' = 1.099L ^{0.45} - 0.099\text{, for } 0.018 \le L \le 1
720
721Inverse Transfer function:
722
723.. math::
724
725    L = \frac{L'}{4.5} \text{, for } L' < 0.081
726
727    L = \left(\frac{L' + 0.099}{1.099} \right) ^{\frac{1}{0.45} }\text{, for } L' \ge 0.081
728
729The luminance (Y') and color difference (Cb and Cr) are obtained with
730the following ``V4L2_YCBCR_ENC_601`` encoding:
731
732.. math::
733
734    Y' = 0.2990R' + 0.5870G' + 0.1140B'
735
736    Cb = -0.1687R' - 0.3313G' + 0.5B'
737
738    Cr = 0.5R' - 0.4187G' - 0.0813B'
739
740Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
741[-0.5…0.5]. The Y'CbCr quantization is limited range. This transform is
742identical to one defined in SMPTE 170M/BT.601.
743
744
745.. _col-jpeg:
746
747Colorspace JPEG (V4L2_COLORSPACE_JPEG)
748======================================
749
750This colorspace defines the colorspace used by most (Motion-)JPEG
751formats. The chromaticities of the primary colors and the white
752reference are identical to sRGB. The transfer function use is
753``V4L2_XFER_FUNC_SRGB``. The Y'CbCr encoding is ``V4L2_YCBCR_ENC_601``
754with full range quantization where Y' is scaled to [0…255] and Cb/Cr are
755scaled to [-128…128] and then clipped to [-128…127].
756
757.. note::
758
759   The JPEG standard does not actually store colorspace
760   information. So if something other than sRGB is used, then the driver
761   will have to set that information explicitly. Effectively
762   ``V4L2_COLORSPACE_JPEG`` can be considered to be an abbreviation for
763   ``V4L2_COLORSPACE_SRGB``, ``V4L2_YCBCR_ENC_601`` and
764   ``V4L2_QUANTIZATION_FULL_RANGE``.
765
766***************************************
767Detailed Transfer Function Descriptions
768***************************************
769
770.. _xf-smpte-2084:
771
772Transfer Function SMPTE 2084 (V4L2_XFER_FUNC_SMPTE2084)
773=======================================================
774
775The :ref:`smpte2084` standard defines the transfer function used by
776High Dynamic Range content.
777
778Constants:
779    m1 = (2610 / 4096) / 4
780
781    m2 = (2523 / 4096) * 128
782
783    c1 = 3424 / 4096
784
785    c2 = (2413 / 4096) * 32
786
787    c3 = (2392 / 4096) * 32
788
789Transfer function:
790    L' = ((c1 + c2 * L\ :sup:`m1`) / (1 + c3 * L\ :sup:`m1`))\ :sup:`m2`
791
792Inverse Transfer function:
793    L = (max(L':sup:`1/m2` - c1, 0) / (c2 - c3 *
794    L'\ :sup:`1/m2`))\ :sup:`1/m1`
795
796Take care when converting between this transfer function and non-HDR transfer
797functions: the linear RGB values [0…1] of HDR content map to a luminance range
798of 0 to 10000 cd/m\ :sup:`2` whereas the linear RGB values of non-HDR (aka
799Standard Dynamic Range or SDR) map to a luminance range of 0 to 100 cd/m\ :sup:`2`.
800
801To go from SDR to HDR you will have to divide L by 100 first. To go in the other
802direction you will have to multiply L by 100. Of course, this clamps all
803luminance values over 100 cd/m\ :sup:`2` to 100 cd/m\ :sup:`2`.
804
805There are better methods, see e.g. :ref:`colimg` for more in-depth information
806about this.
807