|First published||October 18, 1999|
|Committee||TC/SC: TC 100/TA 2|
|Domain||Color space, color model|
sRGB is a standard RGB (red, green, blue) color space that HP and Microsoft created cooperatively in 1996 to use on monitors, printers, and the Web. It was subsequently standardized by the IEC as IEC 61966-2-1:1999. Its predecessor NIF RGB was used in FlashPix and was almost the same. It is usually assumed to be the color space for images that contain no color space information, especially if the images' pixels are stored in 8-bit integers per color channel.
sRGB uses the ITU-R BT.709 primaries--the same as in studio monitors and HDTV--a transfer function (gamma) typical of CRTs, and a viewing environment designed to match typical home and office viewing conditions. This specification allowed sRGB to be directly displayed on typical CRT monitors of the time, which greatly aided its acceptance. sYCC uses BT.601 YCbCr matrix to encode into extended-gamut space, negative R'G'B' values are decoded using extended transfer function.
sRGB defines the chromaticities of the red, green, and blue primaries, the colors where one of the three channels is nonzero and the other two are zero. The gamut of chromaticities that can be represented in sRGB is the color triangle defined by these primaries. As with any RGB color space, for non-negative values of R, G, and B it is not possible to represent colors outside this triangle, which is well inside the range of colors visible to a human with normal trichromatic vision.
sRGB also defines a nonlinear transfer function between the intensity of these primaries and the actual number stored. The curve is similar to the gamma response of a CRT display. This nonlinear conversion means that sRGB is a reasonably efficient use of the values in an integer-based image file to display human-discernible light levels.
Unlike most other RGB color spaces, the sRGB gamma cannot be expressed as a single numerical value. The overall gamma is approximately 2.2, consisting of a linear (gamma 1.0) section near black, and a non-linear section elsewhere involving a 2.4 exponent and a gamma (slope of log output versus log input) changing from 1.0 through about 2.3. The purpose of the linear section is so the curve does not have an infinite slope at zero, which could cause numerical problems.
The sRGB component values , , are in the range 0 to 1 (values in the range of 0 to 255 should be divided by 255.0).
These gamma-expanded values (sometimes called "linear values" or "linear-light values") are multiplied by a matrix to obtain CIE XYZ:
This is actually the matrix for BT.709 primaries, not just for sRGB, the second row is BT.709-2 matrix coefficients.
The CIE XYZ values must be scaled so that the Y of D65 ("white") is 1.0 (X, Y, Z = 0.9505, 1.0000, 1.0890). This is usually true but some color spaces use 100 or other values (such as in CIELAB, when using specified white points).
The first step in the calculation of sRGB from CIE XYZ is a linear transformation, which may be carried out by a matrix multiplication. (The numerical values below match those in the official sRGB specification, which corrected small rounding errors in the original publication by sRGB's creators, and assume the 2° standard colorimetric observer for CIE XYZ.)
These linear RGB values are not the final result; gamma correction must still be applied. The following formula transforms the linear values into sRGB:
These gamma-compressed values (sometimes called "non-linear values") are usually clipped to the 0 to 1 range. This clipping can be done before or after the gamma calculation, or done as part of converting to 8 bits. If values in the range 0 to 255 are required, e.g. for video display or 8-bit graphics, the usual technique is to multiply by 255 and round to an integer.
Amendment 1 to IEC 61966-2-1:1999 describes how to apply the gamma correction to negative values, by applying -f(-x) when x is negative (and f is the sRGBlinear functions described above), as part of the YCbCr definition. This is also used by scRGB.
Amendment 1 also recommends a higher-precision XYZ to RGB matrix using 7 decimal points, to more accurately invert the RGB to XYZ matrix (which remains at the precision shown above):
It is sometimes said that sRGB uses a gamma of 2.2, yet the above transforms show an exponent of 2.4. This is because the net effect of the piecewise decomposition is necessarily a changing instantaneous gamma at each point in the range: it goes from gamma = 1 at zero to a gamma near 2.4 at maximum intensity, with a median value being close to 2.2. The transformation was designed to approximate a gamma of about 2.2, but with a linear portion near zero to avoid having an infinite slope at K = 0, which can cause numerical problems.
Parameterizing the piecewise formulae for using for the 0.04045, for the 12.92, and for the 0.055, the continuity condition at the break point is
Solving with and the standard value yields two solutions, ? or . The IEC 61966-2-1 standard uses the rounded value , which yields . However, if we impose the condition that the slopes match as well then we must have
We now have two equations. If we take the two unknowns to be and then we can solve to give
Substituting and gives and , with the corresponding linear-domain threshold at . These values, rounded to , and , sometimes describe sRGB conversion. Publications by sRGB's creators rounded to and , hence (this was also used in FlashPix), resulting in a small discontinuity in the curve. Some authors adopted these values in spite of the discontinuity. For the standard, the rounded value was kept and the value was recomputed to make the resulting curve continuous, as described above, resulting in a slope discontinuity from 12.92 below the intersection to 12.70 above.
|Screen luminance level||80 cd/m2|
|Illuminant white point||x = 0.3127, y = 0.3290 (D65)|
|Image surround reflectance||20% (~medium gray)|
|Encoding ambient illuminance level||64 lux|
|Encoding ambient white point||x = 0.3457, y = 0.3585 (D50)|
|Encoding viewing flare||1.0%|
|Typical ambient illuminance level||200 lux|
|Typical ambient white point||x = 0.3457, y = 0.3585 (D50)|
|Typical viewing flare||5.0%|
The sRGB specification assumes a dimly lit encoding (creation) environment with an ambient correlated color temperature (CCT) of 5003 K. This differs from the CCT of the illuminant (D65). Using D50 for both would have made the white point of most photographic paper appear excessively blue. The other parameters, such as the luminance level, are representative of a typical CRT monitor.
Due to the standardization of sRGB on the Internet, on computers, and on printers, many low- to medium-end consumer digital cameras and scanners use sRGB as the default (or only available) working color space. However, consumer-level CCDs are typically uncalibrated, meaning that even though the image is being labeled as sRGB, one can't conclude that the image is color-accurate sRGB.
If the color space of an image is unknown and it is an 8- to 16-bit image format, assuming it is in the sRGB color space is a safe choice. An ICC profile may be used; the ICC distributes three such profiles: two profiles conforming to version 4 of the ICC specification, which they recommend, and one profile conforming to version 2, which is still commonly used. Version 2 of ICC profile does not support parametric curve encoding ("para"), that is why to approximate the EOTF it uses 1024 points 1DLUT, which may be not obvious to see that it is piecewise. Display P3 ICC profile encodes sRGB transfer using "para" encode of g, a, b, c, d.
As the sRGB gamut meets or exceeds the gamut of a low-end inkjet printer, an sRGB image is often regarded as satisfactory for home printing. sRGB is sometimes avoided by high-end print publishing professionals because its color gamut is not big enough, especially in the blue-green colors, to include all the colors that can be reproduced in CMYK printing. Images intended for professional printing via a fully color-managed workflow (e.g. prepress output) sometimes use another color space such as Adobe RGB (1998), which accommodates a wider gamut. Such images used on the Internet may be converted to sRGB using color management tools that are usually included with software that works in these other color spaces.
The two dominant programming interfaces for 3D graphics, OpenGL and Direct3D, have both incorporated support for the sRGB gamma curve. OpenGL supports textures with sRGB gamma encoded color components (first introduced with EXT_texture_sRGB extension, added to the core in OpenGL 2.1) and rendering into sRGB gamma encoded framebuffers (first introduced with EXT_framebuffer_sRGB extension, added to the core in OpenGL 3.0). Correct mipmapping and interpolation of sRGB gamma textures has direct hardware support in texturing units of most modern GPUs (for example nVidia GeForce 8 performs conversion from 8-bit texture to linear values before interpolating those values), and does not have any performance penalty.