The red stripe exhibits higher brightness and colorfulness in the light than in the shadow, but is seen as having the same object color, including the same chroma, in both areas. Because the brightness increases proportionately to the colorfulness, the stripe also exhibits similar saturation in both areas.
7.5PB and 10BG Munsell hue pages of RGB colors, showing lines of uniform saturation (chroma in proportion to lightness) in red. Note that lines of uniform saturation radiate from near the black point, while lines of uniform chroma are vertical. Also note that compared to the 10BG colors, the 7.5PB colors attain higher saturation as well as higher chroma.
HSL saturation increased 50%; notice that changing HSL saturation also affects the perceived lightness of a color
CIELAB lightness preserved, with a* and b* stripped, to make a
Saturation scale (0% at left, corresponding to black and white).
Examples of saturation. Top left = original image.
Colorfulness, chroma and saturation are attributes of perceived color relating to chromatic intensity. As defined formally by the
International Commission on Illumination (CIE) they respectively describe three different aspects of chromatic intensity, but the terms are often used loosely and interchangeably in contexts where these aspects are not clearly distinguished. The precise meanings of the terms vary by what other functions they are dependent on.
Colorfulness is the "attribute of a visual perception according to which the perceived color of an area appears to be more or less chromatic[clarification needed]". The colorfulness evoked by an object depends not only on its spectral
reflectance but also on the strength of the illumination, and increases with the latter unless the
brightness is very high (
Chroma is the "colorfulness of an area judged as a proportion of the brightness of a similarly illuminated area that appears white or highly transmitting". As a result, chroma is mostly only dependent on the spectral properties, and as such is seen to describe the object color. It is how different from a grey of the same lightness such an object color appears to be.
Saturation is the "colorfulness of an area judged in proportion to its
brightness", which in effect is the perceived freedom from whitishness of the light coming from the area. An object with a given spectral reflectance exhibits approximately constant saturation for all levels of illumination, unless the brightness is very high.
As colorfulness, chroma, and saturation are defined as attributes of perception, they can not be physically measured as such, but they can be quantified in relation to psychometric scales intended to be perceptually even—for example, the chroma scales of the
Munsell system. While the chroma and lightness of an object are its colorfulness and brightness judged in proportion to the same thing ("the brightness of a similarly illuminated area that appears white or highly transmitting"), the saturation of the light coming from that object is in effect the chroma of the object judged in proportion to its lightness. On a
Munsell hue page, lines of uniform saturation thus tend to radiate from near the black point, while lines of uniform chroma are vertical.
The naïve definition of saturation does not specify its response function. In the CIE XYZ and RGB color spaces, the saturation is defined in terms of additive color mixing, and has the property of being proportional to any scaling centered at white or the white point illuminant. However, both color spaces are non-linear in terms of psychovisually perceived
color differences. It is also possible — and sometimes desirable — to define a saturation-like quantity that is linearized in term of the psychovisual perception.
CIE 1976 LAB and LUV color spaces, the unnormalized chroma is the radial component of the cylindrical coordinate
CIE LCh (lightness, chroma, hue) representation of the LAB and LUV color spaces, also denoted as CIE LCh(ab) or CIE LCh for short, and CIE LCh(uv). The transformation of to is given by:
and analogously for CIE LCh(uv).
The chroma in the CIE LCh(ab) and CIE LCh(uv) coordinates has the advantage of being more psychovisually linear, yet they are non-linear in terms of linear component color mixing. And therefore, chroma in CIE 1976 Lab and LUV color spaces is very much different from the traditional sense of "saturation".
In color appearance models
Another, psychovisually even more accurate, but also more complex method to obtain or specify the saturation is to use a
color appearance model like CIECAM02. Here, the chroma color appearance parameter might (depending on the color appearance model) be intertwined with e.g. the physical brightness of the illumination or the characteristics of the emitting/reflecting surface, which is more sensible psychovisually.
The CIECAM02 chroma for example, is computed from a lightness in addition to a naively evaluated color magnitude In addition, a colorfulness parameter exists alongside the chroma It is defined as where is dependent on the viewing condition.
The saturation of a color is determined by a combination of light intensity and how much it is distributed across the spectrum of different wavelengths. The purest (most saturated) color is achieved by using just one wavelength at a high intensity, such as in laser light. If the intensity drops, then as a result the saturation drops. To desaturate a color of given intensity in a
subtractive system (such as
watercolor), one can add white, black,
gray, or the hue's
Various correlates of saturation follow.
CIELUV and CIELAB
CIELUV, saturation is equal to the chroma normalized by the lightness:
where is the chromaticity of the white point, and chroma is defined below.
The CIE has not formally recommended this equation since CIELAB has no chromaticity diagram, and this definition therefore lacks direct connection with older concepts of saturation. Nevertheless, this equation provides a reasonable predictor of saturation, and demonstrates that adjusting the lightness in CIELAB while holding (a*, b*) fixed does affect the saturation.
But the following verbal definition of Manfred Richter and the corresponding formula proposed by Eva Lübbe are in agreement with the human perception of saturation:
Saturation is the proportion of pure chromatic color in the total color sensation.
where is the saturation, the lightness and is the chroma of the color.
CIECAM02, saturation equals the square root of the colorfulness divided by the brightness:
This definition is inspired by experimental work done with the intention of remedying
CIECAM97s's poor performance. is proportional to the chroma thus the CIECAM02 definition bears some similarity to the CIELUV definition.
HSL and HSV
Saturation is also one of three coordinates in the
HSL and HSVcolor spaces. However, in the HSL color space saturation exists independently of lightness. That is, both a very light color and a very dark color can be heavily saturated in HSL; whereas in the previous definitions—as well as in the HSV color space—colors approaching white all feature low saturation.
Excitation purity is the relative distance from the white point. Contours of constant purity can be found by shrinking the spectral locus about the white point. The points along the line segment have the same hue, with pe increasing from 0 to 1 between the white point and position on the
spectral locus (position of the color on the horseshoe shape in the diagram) or (as at the saturated end of the line shown in the diagram) position on the
line of purples.
where is the chromaticity of the white point and is the point on the perimeter whose line segment to the white point contains the chromaticity of the stimulus. Different color spaces, such as CIELAB or CIELUV may be used, and will yield different results.