1.. Permission is granted to copy, distribute and/or modify this
2.. document under the terms of the GNU Free Documentation License,
3.. Version 1.1 or any later version published by the Free Software
4.. Foundation, with no Invariant Sections, no Front-Cover Texts
5.. and no Back-Cover Texts. A copy of the license is included at
6.. Documentation/userspace-api/media/fdl-appendix.rst.
7..
8.. TODO: replace it to GFDL-1.1-or-later WITH no-invariant-sections
9
10********************************
11Detailed Colorspace Descriptions
12********************************
13
14
15.. _col-smpte-170m:
16
17Colorspace SMPTE 170M (V4L2_COLORSPACE_SMPTE170M)
18=================================================
19
20The :ref:`smpte170m` standard defines the colorspace used by NTSC and
21PAL and by SDTV in general. The default transfer function is
22``V4L2_XFER_FUNC_709``. The default Y'CbCr encoding is
23``V4L2_YCBCR_ENC_601``. The default Y'CbCr quantization is limited
24range. The chromaticities of the primary colors and the white reference
25are:
26
27
28
29.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
30
31.. flat-table:: SMPTE 170M Chromaticities
32    :header-rows:  1
33    :stub-columns: 0
34    :widths:       1 1 2
35
36    * - Color
37      - x
38      - y
39    * - Red
40      - 0.630
41      - 0.340
42    * - Green
43      - 0.310
44      - 0.595
45    * - Blue
46      - 0.155
47      - 0.070
48    * - White Reference (D65)
49      - 0.3127
50      - 0.3290
51
52
53The red, green and blue chromaticities are also often referred to as the
54SMPTE C set, so this colorspace is sometimes called SMPTE C as well.
55
56The transfer function defined for SMPTE 170M is the same as the one
57defined in Rec. 709.
58
59.. math::
60
61    L' = -1.099(-L)^{0.45} + 0.099 \text{, for } L \le-0.018
62
63    L' = 4.5L \text{, for } -0.018 < L < 0.018
64
65    L' = 1.099L^{0.45} - 0.099 \text{, for } L \ge 0.018
66
67Inverse Transfer function:
68
69.. math::
70
71    L = -\left( \frac{L' - 0.099}{-1.099} \right) ^{\frac{1}{0.45}} \text{, for } L' \le -0.081
72
73    L = \frac{L'}{4.5} \text{, for } -0.081 < L' < 0.081
74
75    L = \left(\frac{L' + 0.099}{1.099}\right)^{\frac{1}{0.45} } \text{, for } L' \ge 0.081
76
77The luminance (Y') and color difference (Cb and Cr) are obtained with
78the following ``V4L2_YCBCR_ENC_601`` encoding:
79
80.. math::
81
82    Y' = 0.2990R' + 0.5870G' + 0.1140B'
83
84    Cb = -0.1687R' - 0.3313G' + 0.5B'
85
86    Cr = 0.5R' - 0.4187G' - 0.0813B'
87
88Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
89[-0.5…0.5]. This conversion to Y'CbCr is identical to the one defined in
90the :ref:`itu601` standard and this colorspace is sometimes called
91BT.601 as well, even though BT.601 does not mention any color primaries.
92
93The default quantization is limited range, but full range is possible
94although rarely seen.
95
96
97.. _col-rec709:
98
99Colorspace Rec. 709 (V4L2_COLORSPACE_REC709)
100============================================
101
102The :ref:`itu709` standard defines the colorspace used by HDTV in
103general. The default transfer function is ``V4L2_XFER_FUNC_709``. The
104default Y'CbCr encoding is ``V4L2_YCBCR_ENC_709``. The default Y'CbCr
105quantization is limited range. The chromaticities of the primary colors
106and the white reference are:
107
108
109
110.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
111
112.. flat-table:: Rec. 709 Chromaticities
113    :header-rows:  1
114    :stub-columns: 0
115    :widths:       1 1 2
116
117    * - Color
118      - x
119      - y
120    * - Red
121      - 0.640
122      - 0.330
123    * - Green
124      - 0.300
125      - 0.600
126    * - Blue
127      - 0.150
128      - 0.060
129    * - White Reference (D65)
130      - 0.3127
131      - 0.3290
132
133
134The full name of this standard is Rec. ITU-R BT.709-5.
135
136Transfer function. Normally L is in the range [0…1], but for the
137extended gamut xvYCC encoding values outside that range are allowed.
138
139.. math::
140
141    L' = -1.099(-L)^{0.45} + 0.099 \text{, for } L \le -0.018
142
143    L' = 4.5L \text{, for } -0.018 < L < 0.018
144
145    L' = 1.099L^{0.45} - 0.099 \text{, for } L \ge 0.018
146
147Inverse Transfer function:
148
149.. math::
150
151    L = -\left( \frac{L' - 0.099}{-1.099} \right)^\frac{1}{0.45} \text{, for } L' \le -0.081
152
153    L = \frac{L'}{4.5}\text{, for } -0.081 < L' < 0.081
154
155    L = \left(\frac{L' + 0.099}{1.099}\right)^{\frac{1}{0.45} } \text{, for } L' \ge 0.081
156
157The luminance (Y') and color difference (Cb and Cr) are obtained with
158the following ``V4L2_YCBCR_ENC_709`` encoding:
159
160.. math::
161
162    Y' = 0.2126R' + 0.7152G' + 0.0722B'
163
164    Cb = -0.1146R' - 0.3854G' + 0.5B'
165
166    Cr = 0.5R' - 0.4542G' - 0.0458B'
167
168Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
169[-0.5…0.5].
170
171The default quantization is limited range, but full range is possible
172although rarely seen.
173
174The ``V4L2_YCBCR_ENC_709`` encoding described above is the default for
175this colorspace, but it can be overridden with ``V4L2_YCBCR_ENC_601``,
176in which case the BT.601 Y'CbCr encoding is used.
177
178Two additional extended gamut Y'CbCr encodings are also possible with
179this colorspace:
180
181The xvYCC 709 encoding (``V4L2_YCBCR_ENC_XV709``, :ref:`xvycc`) is
182similar to the Rec. 709 encoding, but it allows for R', G' and B' values
183that are outside the range [0…1]. The resulting Y', Cb and Cr values are
184scaled and offset according to the limited range formula:
185
186.. math::
187
188    Y' = \frac{219}{256} * (0.2126R' + 0.7152G' + 0.0722B') + \frac{16}{256}
189
190    Cb = \frac{224}{256} * (-0.1146R' - 0.3854G' + 0.5B')
191
192    Cr = \frac{224}{256} * (0.5R' - 0.4542G' - 0.0458B')
193
194The xvYCC 601 encoding (``V4L2_YCBCR_ENC_XV601``, :ref:`xvycc`) is
195similar to the BT.601 encoding, but it allows for R', G' and B' values
196that are outside the range [0…1]. The resulting Y', Cb and Cr values are
197scaled and offset according to the limited range formula:
198
199.. math::
200
201    Y' = \frac{219}{256} * (0.2990R' + 0.5870G' + 0.1140B') + \frac{16}{256}
202
203    Cb = \frac{224}{256} * (-0.1687R' - 0.3313G' + 0.5B')
204
205    Cr = \frac{224}{256} * (0.5R' - 0.4187G' - 0.0813B')
206
207Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
208[-0.5…0.5] and quantized without further scaling or offsets.
209The non-standard xvYCC 709 or xvYCC 601 encodings can be
210used by selecting ``V4L2_YCBCR_ENC_XV709`` or ``V4L2_YCBCR_ENC_XV601``.
211As seen by the xvYCC formulas these encodings always use limited range quantization,
212there is no full range variant. The whole point of these extended gamut encodings
213is that values outside the limited range are still valid, although they
214map to R', G' and B' values outside the [0…1] range and are therefore outside
215the Rec. 709 colorspace gamut.
216
217
218.. _col-srgb:
219
220Colorspace sRGB (V4L2_COLORSPACE_SRGB)
221======================================
222
223The :ref:`srgb` standard defines the colorspace used by most webcams
224and computer graphics. The default transfer function is
225``V4L2_XFER_FUNC_SRGB``. The default Y'CbCr encoding is
226``V4L2_YCBCR_ENC_601``. The default Y'CbCr quantization is limited range.
227
228Note that the :ref:`sycc` standard specifies full range quantization,
229however all current capture hardware supported by the kernel convert
230R'G'B' to limited range Y'CbCr. So choosing full range as the default
231would break how applications interpret the quantization range.
232
233The chromaticities of the primary colors and the white reference are:
234
235
236
237.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
238
239.. flat-table:: sRGB Chromaticities
240    :header-rows:  1
241    :stub-columns: 0
242    :widths:       1 1 2
243
244    * - Color
245      - x
246      - y
247    * - Red
248      - 0.640
249      - 0.330
250    * - Green
251      - 0.300
252      - 0.600
253    * - Blue
254      - 0.150
255      - 0.060
256    * - White Reference (D65)
257      - 0.3127
258      - 0.3290
259
260
261These chromaticities are identical to the Rec. 709 colorspace.
262
263Transfer function. Note that negative values for L are only used by the
264Y'CbCr conversion.
265
266.. math::
267
268    L' = -1.055(-L)^{\frac{1}{2.4} } + 0.055\text{, for }L < -0.0031308
269
270    L' = 12.92L\text{, for }-0.0031308 \le L \le 0.0031308
271
272    L' = 1.055L ^{\frac{1}{2.4} } - 0.055\text{, for }0.0031308 < L \le 1
273
274Inverse Transfer function:
275
276.. math::
277
278    L = -((-L' + 0.055) / 1.055) ^{2.4}\text{, for }L' < -0.04045
279
280    L = L' / 12.92\text{, for }-0.04045 \le L' \le 0.04045
281
282    L = ((L' + 0.055) / 1.055) ^{2.4}\text{, for }L' > 0.04045
283
284The luminance (Y') and color difference (Cb and Cr) are obtained with
285the following ``V4L2_YCBCR_ENC_601`` encoding as defined by :ref:`sycc`:
286
287.. math::
288
289    Y' = 0.2990R' + 0.5870G' + 0.1140B'
290
291    Cb = -0.1687R' - 0.3313G' + 0.5B'
292
293    Cr = 0.5R' - 0.4187G' - 0.0813B'
294
295Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
296[-0.5…0.5]. This transform is identical to one defined in SMPTE
297170M/BT.601. The Y'CbCr quantization is limited range.
298
299
300.. _col-oprgb:
301
302Colorspace opRGB (V4L2_COLORSPACE_OPRGB)
303===============================================
304
305The :ref:`oprgb` standard defines the colorspace used by computer
306graphics that use the opRGB colorspace. The default transfer function is
307``V4L2_XFER_FUNC_OPRGB``. The default Y'CbCr encoding is
308``V4L2_YCBCR_ENC_601``. The default Y'CbCr quantization is limited
309range.
310
311Note that the :ref:`oprgb` standard specifies full range quantization,
312however all current capture hardware supported by the kernel convert
313R'G'B' to limited range Y'CbCr. So choosing full range as the default
314would break how applications interpret the quantization range.
315
316The chromaticities of the primary colors and the white reference are:
317
318
319.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
320
321.. flat-table:: opRGB Chromaticities
322    :header-rows:  1
323    :stub-columns: 0
324    :widths:       1 1 2
325
326    * - Color
327      - x
328      - y
329    * - Red
330      - 0.6400
331      - 0.3300
332    * - Green
333      - 0.2100
334      - 0.7100
335    * - Blue
336      - 0.1500
337      - 0.0600
338    * - White Reference (D65)
339      - 0.3127
340      - 0.3290
341
342
343
344Transfer function:
345
346.. math::
347
348    L' = L ^{\frac{1}{2.19921875}}
349
350Inverse Transfer function:
351
352.. math::
353
354    L = L'^{(2.19921875)}
355
356The luminance (Y') and color difference (Cb and Cr) are obtained with
357the following ``V4L2_YCBCR_ENC_601`` encoding:
358
359.. math::
360
361    Y' = 0.2990R' + 0.5870G' + 0.1140B'
362
363    Cb = -0.1687R' - 0.3313G' + 0.5B'
364
365    Cr = 0.5R' - 0.4187G' - 0.0813B'
366
367Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
368[-0.5…0.5]. This transform is identical to one defined in SMPTE
369170M/BT.601. The Y'CbCr quantization is limited range.
370
371
372.. _col-bt2020:
373
374Colorspace BT.2020 (V4L2_COLORSPACE_BT2020)
375===========================================
376
377The :ref:`itu2020` standard defines the colorspace used by Ultra-high
378definition television (UHDTV). The default transfer function is
379``V4L2_XFER_FUNC_709``. The default Y'CbCr encoding is
380``V4L2_YCBCR_ENC_BT2020``. The default R'G'B' quantization is limited
381range (!), and so is the default Y'CbCr quantization. The chromaticities
382of the primary colors and the white reference are:
383
384
385
386.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
387
388.. flat-table:: BT.2020 Chromaticities
389    :header-rows:  1
390    :stub-columns: 0
391    :widths:       1 1 2
392
393    * - Color
394      - x
395      - y
396    * - Red
397      - 0.708
398      - 0.292
399    * - Green
400      - 0.170
401      - 0.797
402    * - Blue
403      - 0.131
404      - 0.046
405    * - White Reference (D65)
406      - 0.3127
407      - 0.3290
408
409
410
411Transfer function (same as Rec. 709):
412
413.. math::
414
415    L' = 4.5L\text{, for }0 \le L < 0.018
416
417    L' = 1.099L ^{0.45} - 0.099\text{, for } 0.018 \le L \le 1
418
419Inverse Transfer function:
420
421.. math::
422
423    L = L' / 4.5\text{, for } L' < 0.081
424
425    L = \left( \frac{L' + 0.099}{1.099}\right) ^{\frac{1}{0.45} }\text{, for } L' \ge 0.081
426
427Please note that while Rec. 709 is defined as the default transfer function
428by the :ref:`itu2020` standard, in practice this colorspace is often used
429with the :ref:`xf-smpte-2084`. In particular Ultra HD Blu-ray discs use
430this combination.
431
432The luminance (Y') and color difference (Cb and Cr) are obtained with
433the following ``V4L2_YCBCR_ENC_BT2020`` encoding:
434
435.. math::
436
437    Y' = 0.2627R' + 0.6780G' + 0.0593B'
438
439    Cb = -0.1396R' - 0.3604G' + 0.5B'
440
441    Cr = 0.5R' - 0.4598G' - 0.0402B'
442
443Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
444[-0.5…0.5]. The Y'CbCr quantization is limited range.
445
446There is also an alternate constant luminance R'G'B' to Yc'CbcCrc
447(``V4L2_YCBCR_ENC_BT2020_CONST_LUM``) encoding:
448
449Luma:
450
451.. math::
452    :nowrap:
453
454    \begin{align*}
455    Yc' = (0.2627R + 0.6780G + 0.0593B)'& \\
456    B' - Yc' \le 0:& \\
457        &Cbc = (B' - Yc') / 1.9404 \\
458    B' - Yc' > 0: & \\
459        &Cbc = (B' - Yc') / 1.5816 \\
460    R' - Yc' \le 0:& \\
461        &Crc = (R' - Y') / 1.7184 \\
462    R' - Yc' > 0:& \\
463        &Crc = (R' - Y') / 0.9936
464    \end{align*}
465
466Yc' is clamped to the range [0…1] and Cbc and Crc are clamped to the
467range [-0.5…0.5]. The Yc'CbcCrc quantization is limited range.
468
469
470.. _col-dcip3:
471
472Colorspace DCI-P3 (V4L2_COLORSPACE_DCI_P3)
473==========================================
474
475The :ref:`smpte431` standard defines the colorspace used by cinema
476projectors that use the DCI-P3 colorspace. The default transfer function
477is ``V4L2_XFER_FUNC_DCI_P3``. The default Y'CbCr encoding is
478``V4L2_YCBCR_ENC_709``. The default Y'CbCr quantization is limited range.
479
480.. note::
481
482   Note that this colorspace standard does not specify a
483   Y'CbCr encoding since it is not meant to be encoded to Y'CbCr. So this
484   default Y'CbCr encoding was picked because it is the HDTV encoding.
485
486The chromaticities of the primary colors and the white reference are:
487
488
489
490.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
491
492.. flat-table:: DCI-P3 Chromaticities
493    :header-rows:  1
494    :stub-columns: 0
495    :widths:       1 1 2
496
497    * - Color
498      - x
499      - y
500    * - Red
501      - 0.6800
502      - 0.3200
503    * - Green
504      - 0.2650
505      - 0.6900
506    * - Blue
507      - 0.1500
508      - 0.0600
509    * - White Reference
510      - 0.3140
511      - 0.3510
512
513
514
515Transfer function:
516
517.. math::
518
519    L' = L^{\frac{1}{2.6}}
520
521Inverse Transfer function:
522
523.. math::
524
525    L = L'^{(2.6)}
526
527Y'CbCr encoding is not specified. V4L2 defaults to Rec. 709.
528
529
530.. _col-smpte-240m:
531
532Colorspace SMPTE 240M (V4L2_COLORSPACE_SMPTE240M)
533=================================================
534
535The :ref:`smpte240m` standard was an interim standard used during the
536early days of HDTV (1988-1998). It has been superseded by Rec. 709. The
537default transfer function is ``V4L2_XFER_FUNC_SMPTE240M``. The default
538Y'CbCr encoding is ``V4L2_YCBCR_ENC_SMPTE240M``. The default Y'CbCr
539quantization is limited range. The chromaticities of the primary colors
540and the white reference are:
541
542
543
544.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
545
546.. flat-table:: SMPTE 240M Chromaticities
547    :header-rows:  1
548    :stub-columns: 0
549    :widths:       1 1 2
550
551    * - Color
552      - x
553      - y
554    * - Red
555      - 0.630
556      - 0.340
557    * - Green
558      - 0.310
559      - 0.595
560    * - Blue
561      - 0.155
562      - 0.070
563    * - White Reference (D65)
564      - 0.3127
565      - 0.3290
566
567
568These chromaticities are identical to the SMPTE 170M colorspace.
569
570Transfer function:
571
572.. math::
573
574    L' = 4L\text{, for } 0 \le L < 0.0228
575
576    L' = 1.1115L ^{0.45} - 0.1115\text{, for } 0.0228 \le L \le 1
577
578Inverse Transfer function:
579
580.. math::
581
582    L = \frac{L'}{4}\text{, for } 0 \le L' < 0.0913
583
584    L = \left( \frac{L' + 0.1115}{1.1115}\right) ^{\frac{1}{0.45} }\text{, for } L' \ge 0.0913
585
586The luminance (Y') and color difference (Cb and Cr) are obtained with
587the following ``V4L2_YCBCR_ENC_SMPTE240M`` encoding:
588
589.. math::
590
591    Y' = 0.2122R' + 0.7013G' + 0.0865B'
592
593    Cb = -0.1161R' - 0.3839G' + 0.5B'
594
595    Cr = 0.5R' - 0.4451G' - 0.0549B'
596
597Y' is clamped to the range [0…1] and Cb and Cr are clamped to the
598range [-0.5…0.5]. The Y'CbCr quantization is limited range.
599
600
601.. _col-sysm:
602
603Colorspace NTSC 1953 (V4L2_COLORSPACE_470_SYSTEM_M)
604===================================================
605
606This standard defines the colorspace used by NTSC in 1953. In practice
607this colorspace is obsolete and SMPTE 170M should be used instead. The
608default transfer function is ``V4L2_XFER_FUNC_709``. The default Y'CbCr
609encoding is ``V4L2_YCBCR_ENC_601``. The default Y'CbCr quantization is
610limited range. The chromaticities of the primary colors and the white
611reference are:
612
613
614
615.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
616
617.. flat-table:: NTSC 1953 Chromaticities
618    :header-rows:  1
619    :stub-columns: 0
620    :widths:       1 1 2
621
622    * - Color
623      - x
624      - y
625    * - Red
626      - 0.67
627      - 0.33
628    * - Green
629      - 0.21
630      - 0.71
631    * - Blue
632      - 0.14
633      - 0.08
634    * - White Reference (C)
635      - 0.310
636      - 0.316
637
638
639.. note::
640
641   This colorspace uses Illuminant C instead of D65 as the white
642   reference. To correctly convert an image in this colorspace to another
643   that uses D65 you need to apply a chromatic adaptation algorithm such as
644   the Bradford method.
645
646The transfer function was never properly defined for NTSC 1953. The Rec.
647709 transfer function is recommended in the literature:
648
649.. math::
650
651    L' = 4.5L\text{, for } 0 \le L < 0.018
652
653    L' = 1.099L ^{0.45} - 0.099\text{, for } 0.018 \le L \le 1
654
655Inverse Transfer function:
656
657.. math::
658
659    L = \frac{L'}{4.5} \text{, for } L' < 0.081
660
661    L = \left( \frac{L' + 0.099}{1.099}\right) ^{\frac{1}{0.45} }\text{, for } L' \ge 0.081
662
663The luminance (Y') and color difference (Cb and Cr) are obtained with
664the following ``V4L2_YCBCR_ENC_601`` encoding:
665
666.. math::
667
668    Y' = 0.2990R' + 0.5870G' + 0.1140B'
669
670    Cb = -0.1687R' - 0.3313G' + 0.5B'
671
672    Cr = 0.5R' - 0.4187G' - 0.0813B'
673
674Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
675[-0.5…0.5]. The Y'CbCr quantization is limited range. This transform is
676identical to one defined in SMPTE 170M/BT.601.
677
678
679.. _col-sysbg:
680
681Colorspace EBU Tech. 3213 (V4L2_COLORSPACE_470_SYSTEM_BG)
682=========================================================
683
684The :ref:`tech3213` standard defines the colorspace used by PAL/SECAM
685in 1975. In practice this colorspace is obsolete and SMPTE 170M should
686be used instead. The default transfer function is
687``V4L2_XFER_FUNC_709``. The default Y'CbCr encoding is
688``V4L2_YCBCR_ENC_601``. The default Y'CbCr quantization is limited
689range. The chromaticities of the primary colors and the white reference
690are:
691
692
693
694.. tabularcolumns:: |p{4.4cm}|p{4.4cm}|p{8.7cm}|
695
696.. flat-table:: EBU Tech. 3213 Chromaticities
697    :header-rows:  1
698    :stub-columns: 0
699    :widths:       1 1 2
700
701    * - Color
702      - x
703      - y
704    * - Red
705      - 0.64
706      - 0.33
707    * - Green
708      - 0.29
709      - 0.60
710    * - Blue
711      - 0.15
712      - 0.06
713    * - White Reference (D65)
714      - 0.3127
715      - 0.3290
716
717
718
719The transfer function was never properly defined for this colorspace.
720The Rec. 709 transfer function is recommended in the literature:
721
722.. math::
723
724    L' = 4.5L\text{, for } 0 \le L < 0.018
725
726    L' = 1.099L ^{0.45} - 0.099\text{, for } 0.018 \le L \le 1
727
728Inverse Transfer function:
729
730.. math::
731
732    L = \frac{L'}{4.5} \text{, for } L' < 0.081
733
734    L = \left(\frac{L' + 0.099}{1.099} \right) ^{\frac{1}{0.45} }\text{, for } L' \ge 0.081
735
736The luminance (Y') and color difference (Cb and Cr) are obtained with
737the following ``V4L2_YCBCR_ENC_601`` encoding:
738
739.. math::
740
741    Y' = 0.2990R' + 0.5870G' + 0.1140B'
742
743    Cb = -0.1687R' - 0.3313G' + 0.5B'
744
745    Cr = 0.5R' - 0.4187G' - 0.0813B'
746
747Y' is clamped to the range [0…1] and Cb and Cr are clamped to the range
748[-0.5…0.5]. The Y'CbCr quantization is limited range. This transform is
749identical to one defined in SMPTE 170M/BT.601.
750
751
752.. _col-jpeg:
753
754Colorspace JPEG (V4L2_COLORSPACE_JPEG)
755======================================
756
757This colorspace defines the colorspace used by most (Motion-)JPEG
758formats. The chromaticities of the primary colors and the white
759reference are identical to sRGB. The transfer function use is
760``V4L2_XFER_FUNC_SRGB``. The Y'CbCr encoding is ``V4L2_YCBCR_ENC_601``
761with full range quantization where Y' is scaled to [0…255] and Cb/Cr are
762scaled to [-128…128] and then clipped to [-128…127].
763
764.. note::
765
766   The JPEG standard does not actually store colorspace
767   information. So if something other than sRGB is used, then the driver
768   will have to set that information explicitly. Effectively
769   ``V4L2_COLORSPACE_JPEG`` can be considered to be an abbreviation for
770   ``V4L2_COLORSPACE_SRGB``, ``V4L2_XFER_FUNC_SRGB``, ``V4L2_YCBCR_ENC_601``
771   and ``V4L2_QUANTIZATION_FULL_RANGE``.
772
773***************************************
774Detailed Transfer Function Descriptions
775***************************************
776
777.. _xf-smpte-2084:
778
779Transfer Function SMPTE 2084 (V4L2_XFER_FUNC_SMPTE2084)
780=======================================================
781
782The :ref:`smpte2084` standard defines the transfer function used by
783High Dynamic Range content.
784
785Constants:
786    m1 = (2610 / 4096) / 4
787
788    m2 = (2523 / 4096) * 128
789
790    c1 = 3424 / 4096
791
792    c2 = (2413 / 4096) * 32
793
794    c3 = (2392 / 4096) * 32
795
796Transfer function:
797    L' = ((c1 + c2 * L\ :sup:`m1`) / (1 + c3 * L\ :sup:`m1`))\ :sup:`m2`
798
799Inverse Transfer function:
800    L = (max(L':sup:`1/m2` - c1, 0) / (c2 - c3 *
801    L'\ :sup:`1/m2`))\ :sup:`1/m1`
802
803Take care when converting between this transfer function and non-HDR transfer
804functions: the linear RGB values [0…1] of HDR content map to a luminance range
805of 0 to 10000 cd/m\ :sup:`2` whereas the linear RGB values of non-HDR (aka
806Standard Dynamic Range or SDR) map to a luminance range of 0 to 100 cd/m\ :sup:`2`.
807
808To go from SDR to HDR you will have to divide L by 100 first. To go in the other
809direction you will have to multiply L by 100. Of course, this clamps all
810luminance values over 100 cd/m\ :sup:`2` to 100 cd/m\ :sup:`2`.
811
812There are better methods, see e.g. :ref:`colimg` for more in-depth information
813about this.
814