Mired

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Planckian-locus-in-mireds.png
Close up of the Planckian locus in the CIE 1960 color space, with the isotherms in mireds.
Planckian-locus.png
Close up of the Planckian locus in the CIE 1960 color space, with the isotherms in kelvins.
Note the even spacing of the isotherms when using the reciprocal temperature scale. The even spacing of the isotherms on the locus implies that the mired scale is a better measure of perceptual color difference than the temperature scale. The range of isothermal color temperatures for both diagrams is from 1000 K (1000 MK−1) to 10000 K (100 MK−1).

Contracted from the term micro reciprocal degree, the mired is a unit of measurement used to express color temperature. Values in mireds are calculated by the formula:

Contents

where T is the colour temperature in units of kelvins and M denotes the resulting mired dimensionless number. The constant 1000000 K is one million kelvins.

The SI term for this unit is the reciprocal megakelvin (MK−1), shortened to mirek, but this term has not gained traction. [1]

For convenience, decamireds are sometimes used, with each decamired equaling ten mireds.

The use of the term mired dates back to Irwin G. Priest's observation in 1932 that the just noticeable difference between two illuminants is based on the difference of the reciprocals of their temperatures, rather than the difference in the temperatures themselves. [2]

Examples

A blue sky, which has a color temperature T of about 25000 K, has a mired value of M = 40 mireds, while a standard electronic photography flash, having a color temperature T of 5000 K, has a mired value of M = 200 mireds.

Applications

Photographic filter and gel

Mired difference can be quickly approximated with a nomogram Color temperature - mired shift.svg
Mired difference can be quickly approximated with a nomogram

In photography, mireds are used to indicate the color temperature shift provided by a filter or gel for a given film and light source. For instance, to use daylight film (5700 K) to take a photograph under a tungsten light source (3200 K) without introducing a color cast, one would need a corrective filter or gel providing a mired shift

This corresponds to a color temperature blue (CTB) filter. [3] [4] Color gels with negative mired values appear green or blue, while those with positive values appear amber or red.

CCT calculation

A number of mathematical methods, including Robertson's, calculate the correlated color temperature of a light source from its chromaticity values. These methods exploit the relatively even spacing of the mired uint internally. [5]

Color description

Apple's HomeKit uses the mired unit for specifying color temperature. [6]

Related Research Articles

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<span class="mw-page-title-main">CIELAB color space</span> Standard color space with color-opponent values

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<span class="mw-page-title-main">Planckian locus</span> Locus of colors of incandescent black bodies within a color space

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In colorimetry, the CIE 1976L*, u*, v*color space, commonly known by its abbreviation CIELUV, is a color space adopted by the International Commission on Illumination (CIE) in 1976, as a simple-to-compute transformation of the 1931 CIE XYZ color space, but which attempted perceptual uniformity. It is extensively used for applications such as computer graphics which deal with colored lights. Although additive mixtures of different colored lights will fall on a line in CIELUV's uniform chromaticity diagram, such additive mixtures will not, contrary to popular belief, fall along a line in the CIELUV color space unless the mixtures are constant in lightness.

<span class="mw-page-title-main">CIE 1960 color space</span>

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Effect of an illuminant on the color appearance of objects by conscious or subconscious comparison with their color appearance under a reference illuminant.

<span class="mw-page-title-main">Tristimulus colorimeter</span> Device to measure color values

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The von Kries coefficient law in color adaptation describes the relationship between the illuminant and the human visual system sensitivity. The law accounts for the approximate color constancy in the human visual system. It is the oldest and most widely used law to quantify color adaptation, and is used widely in the field of vision and chromatic adaptation.

Hunter Lab is a color space defined in 1948 by Richard S. Hunter. It was designed to be computed via simple formulas from the CIEXYZ space, but to be more perceptually uniform. Hunter named his coordinates L, a and b. Hunter Lab was a precursor to CIELAB, created in 1976 by the International Commission on Illumination (CIE), which named the coordinates for CIELAB as L*, a*, b* to distinguish them from Hunter's coordinates.

References

  1. Ohta, Noboru; Robertson, Alan R. (2005). Colorimetry: Fundamentals and Applications. Wiley. p. 84. ISBN   0-470-09472-9.
  2. Priest, Irwin G. (February 1932). "A proposed scale for use in specifying the chromaticity of incandescent illuminants and various phases of daylight" (abstract). JOSA . 23 (2): 41–45. doi:10.1364/JOSA.23.000041.
  3. Brown, Blain (2002). Cinematography: Theory and Practice : Imagemaking for Cinematographers. Focal Press. p. 172. ISBN   0-240-80500-3.
  4. "Mired Shift Gel Table" (PDF).
  5. Robertson, Alan R. (November 1968). "Computation of Correlated Color Temperature and Distribution Temperature". JOSA . 58 (11): 1528–1535. Bibcode:1968JOSA...58.1528R. doi:10.1364/JOSA.58.001528.
  6. "HMCharacteristicTypeColorTemperature". Apple Developer Documentation.