Earth:Color rendering index

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Short description: Measure of ability of a light source to reproduce colors in comparison with a standard light source
Emitted light spectrum determines the CRI of the lamp. An incandescent lamp (middle image) has a continuous spectrum and therefore a higher CRI than a fluorescent lamp (lower image). The top image shows the setup of the demonstration from above.
Color rendering index shown as color accuracy

A color rendering index (CRI) is a quantitative measure of the ability of a light source to reveal the colors of various objects faithfully in comparison with a natural or standard light source. Light sources with a high CRI are desirable in color-critical applications such as neonatal care[1] and art restoration.

Color rendering, as defined by the International Commission on Illumination (CIE), is the effect of an illuminant on the color appearance of objects by conscious or subconscious comparison with their color appearance under a reference or standard illuminant.[2]

The CRI of a light source does not indicate the apparent color of the light source; that information is given by the correlated color temperature (CCT). The CRI is determined by the light source's spectrum. An incandescent lamp has a continuous spectrum, a fluorescent lamp has a discrete line spectrum; implying that the incandescent lamp has the higher CRI.

The value often quoted as "CRI" on commercially available lighting products is properly called the CIE Ra value, "CRI" being a general term and CIE Ra being the international standard color rendering index.

Numerically, the highest possible CIE Ra value is 100 and would only be given to a source whose spectrum is identical to the spectrum of daylight, very close to that of a black body (incandescent lamps are effectively black bodies), dropping to negative values for some light sources. Low-pressure sodium lighting has a negative CRI; fluorescent lights range from about 50 for the basic types, up to about 98 for the best multi-phosphor type. Typical white-color LEDs have a CRI of 80 or more, while some manufacturers claim that their LEDs achieve a CRI of up to 98.[3]

CIE Ra's ability to predict color appearance has been criticized in favor of measures based on color appearance models, such as CIECAM02 and for daylight simulators, the CIE metamerism index.[4] CRI is not a good indicator for use in visual assessment of light sources, especially for sources below 5000 kelvin (K).[5][6] New standards, such as the IES TM-30, resolve these issues and have begun replacing the usage of CRI among professional lighting designers.[7] However, CRI is still common among household lighting products.

History

Researchers use daylight as the benchmark to which to compare color rendering of electric lights. In 1948, daylight was described as the ideal source of illumination for good color rendering because "it (daylight) displays (1) a great variety of colors, (2) makes it easy to distinguish slight shades of color, and (3) the colors of objects around us obviously look natural".[8]

Around the middle of the 20th century, color scientists took an interest in assessing the ability of artificial lights to accurately reproduce colors. European researchers attempted to describe illuminants by measuring the spectral power distribution (SPD) in "representative" spectral bands, whereas their North American counterparts studied the colorimetric effect of the illuminants on reference objects.[9]

The CIE assembled a committee to study the matter and accepted the proposal to use the latter approach, which has the virtue of not needing spectrophotometry, with a set of Munsell samples. Eight samples of varying hue would be alternately lit with two illuminants, and the color appearance compared. Since no color appearance model existed at the time, it was decided to base the evaluation on color differences in a suitable color space, CIEUVW. In 1931, the CIE adopted the first formal system of colorimetry, which is based on the trichromatic nature of the human visual system.[10][11] CRI is based upon this system of colorimetry.[12]

To deal with the problem of having to compare light sources of different correlated color temperatures (CCT), the CIE settled on using a reference black body with the same color temperature for lamps with a CCT of under 5000 K, or a phase of CIE standard illuminant D (daylight) otherwise. This presented a continuous range of color temperatures to choose a reference from. Any chromaticity difference between the source and reference illuminants were to be abridged with a von Kries-type chromatic adaptation transform. There are two extent versions of CRI: the more commonly used Ra of (CIE 1995) (actually from 1974) and R96a of (CIE 1999).

Test method

The CRI is calculated by comparing the color rendering of the test source to that of a "perfect" source, which is a black body radiator for sources with correlated color temperatures under 5000 K, and a phase of daylight otherwise (e.g., D65). Chromatic adaptation should be performed so that like quantities are compared. The Test Method (also called Test Sample Method or Test Color Method) needs only colorimetric, rather than spectrophotometric, information.[6][13]

CIE 1960 UCS. Planckian locus and co-ordinates of several illuminants shown in illustration below.
(u, v) chromaticity diagram with several CIE illuminants
  1. Using the 2° standard observer, find the chromaticity co-ordinates of the test source in the CIE 1960 color space.[14]
  2. Determine the correlated color temperature (CCT) of the test source by finding the closest point to the Planckian locus on the (u, v) chromaticity diagram.
  3. If the test source has a CCT < 5000 K, use a black body for reference, otherwise use CIE standard illuminant D. Both sources should have the same CCT.
  4. Ensure that the chromaticity distance (DC) of the test source to the Planckian locus is under 5.4×10−3 in the CIE 1960 UCS. This ensures the meaningfulness of the result, as the CRI is only defined for light sources that are approximately white.[15] [math]\displaystyle{ \text{DC} = \Delta_{uv} = \sqrt{(u_r - u_t)^2 + (v_r - v_t)^2}. }[/math]
  5. Illuminate the first eight standard samples, from the fifteen listed below, alternately using both sources.
  6. Using the 2° standard observer, find the co-ordinates of the light reflected by each sample in the CIE 1964 color space.
  7. Chromatically adapt each sample by a Von Kries transform.
  8. For each sample, calculate the Euclidean distance [math]\displaystyle{ \Delta E_i }[/math] between the pair of co-ordinates.
  9. Calculate the special (i.e., particular) CRI using the formula [math]\displaystyle{ R_i = 100 - 4.6 \Delta E_i }[/math][16][17]
  10. Find the general CRI (Ra) by calculating the arithmetic mean of the special CRIs.

Note that the last three steps are equivalent to finding the mean color difference, [math]\displaystyle{ \Delta \bar{E}_{UVW} }[/math] and using that to calculate [math]\displaystyle{ R_a }[/math]:

[math]\displaystyle{ R_a = 100 - 4.6 \Delta \bar{E}_{UVW}. }[/math]

Chromatic adaptation

Chromatic adaptation of TCSs lit by CIE FL4 (short, black vectors, to indicate before and after) to a black body of 2940 K (cyan circles)

(CIE 1995) uses this von Kries chromatic transform equation to find the corresponding color (uc,i, vc,i) for each sample. The mixed subscripts (t, i) refer to the inner product of the test illuminant spectrum and the spectral reflexivity of sample i:

[math]\displaystyle{ u_{c,i} = \frac{10.872 + 0.404 (c_r/c_t) c_{t,i} - 4 (d_r/d_t) d_{t,i}}{16.518 + 1.481 (c_r/c_t) c_{t,i} - (d_r/d_t) d_{t,i}}, }[/math]

[math]\displaystyle{ v_{c,i} = \frac{5.520}{16.518 + 1.481 (c_r/c_t) c_{t,i} - (d_r/d_t) d_{t,i}}, }[/math]

[math]\displaystyle{ c = (4.0 - u - 10.0 v) / v, }[/math]

[math]\displaystyle{ d = (1.708 v - 1.481 u + 0.404) / v, }[/math]

where subscripts r and t refer to reference and test light sources respectively.

Test color samples

Name Appr. Munsell Appearance under daylight Swatch
TCS01 7,5 R 6/4 Light greyish red
TCS02 5 Y 6/4 Dark greyish yellow
TCS03 5 GY 6/8 Strong yellow green
TCS04 2,5 G 6/6 Moderate yellowish green
TCS05 10 BG 6/4 Light bluish green
TCS06 5 PB 6/8 Light blue
TCS07 2,5 P 6/8 Light violet
TCS08 10 P 6/8 Light reddish purple
TCS09 4,5 R 4/13 Strong red
TCS10 5 Y 8/10 Strong yellow
TCS11 4,5 G 5/8 Strong green
TCS12 3 PB 3/11 Strong blue
TCS13 5 YR 8/4 Light yellowish pink
TCS14 5 GY 4/4 Moderate olive green (leaf)

As specified in (CIE 1995), the original test color samples (TCS) are taken from an early edition of the Munsell Atlas. The first eight samples, a subset of the eighteen proposed in (Nickerson 1960), are relatively low saturated colors and are evenly distributed over the complete range of hues.[18] These eight samples are employed to calculate the general color rendering index [math]\displaystyle{ R_a }[/math]. The last six samples provide supplementary information about the color rendering properties of the light source; the first four for high saturation, and the last two as representatives of well-known objects. The reflectance spectra of these samples may be found in (CIE 2004),[19] and their approximate Munsell notations are listed aside.[20]

CIE CRI TCS SPDs.svg

R96a method

CIE CRI TCS chromaticities.svg

In the CIE's 1991 Quadrennial Meeting, Technical Committee 1-33 (Color Rendering) was assembled to work on updating the color rendering method, as a result of which the R96a method was developed. The committee was dissolved in 1999, releasing (CIE 1999), but no firm recommendations, partly due to disagreements between researchers and manufacturers.[21]

The R96a method has a few distinguishing features:[22]

  • A new set of test color samples
  • Six reference illuminants: D65, D50, black bodies of 4200 K, 3450 K, 2950 K, and 2700 K.
  • A new chromatic adaptation transform: CIECAT94.
  • Color difference evaluation in CIELAB.
  • Adaptation of all colors to D65 (since CIELAB is well-tested under D65).

It is conventional to use the original method; R96a should be explicitly mentioned if used.

New test color samples

TCS01* TCS02* TCS03* TCS04* TCS05* TCS06* TCS07* TCS08* TCS09* TCS10*
L* 40.9 61.1 81.6 72.0 55.7 51.7 30.0 51.0 68.7 63.9
a* 51.0 28.8 −4.2 −29.4 −43.4 −26.4 23.2 47.3 14.2 11.7
b* 26.3 57.9 80.3 58.9 35.6 −24.6 −49.6 −13.8 17.4 17.3

As discussed in (Sándor Schanda), (CIE 1999) recommends the use of a ColorChecker chart owing to the obsolescence of the original samples, of which only metameric matches remain.[23] In addition to the eight ColorChart samples, two skin tone samples are defined (TCS09* and TCS10*). Accordingly, the updated general CRI is averaged over ten samples, not eight as before. Nevertheless, (Hung 2002) has determined that the patches in (CIE 1995) give better correlations for any color difference than the ColorChecker chart, whose samples are not equally distributed in a uniform color space.

Example

The CRI can also be theoretically derived from the spectral power distribution (SPD) of the illuminant and samples, since physical copies of the original color samples are difficult to find. In this method, care should be taken to use a sampling resolution fine enough to capture spikes in the SPD. The SPDs of the standard test colors are tabulated in 5 nm increments (CIE 2004), so it is suggested to use interpolation up to the resolution of the illuminant's spectrophotometry.

Starting with the SPD, let us verify that the CRI of reference illuminant F4 is 51. The first step is to determine the tristimulus values using the 1931 standard observer. Calculation of the inner product of the SPD with the standard observer's color matching functions (CMFs) yields (X, Y, Z) = (109.2, 100.0, 38.9) (after normalizing for Y = 100). From this follow the xy chromaticity values:

The tight isotherms are from 2935 K to 2945 K. FL4 marked with a cross.

[math]\displaystyle{ x = \frac{109.2}{109.2 + 100.0 + 38.9} = 0.4402, }[/math]

[math]\displaystyle{ y = \frac{100}{109.2 + 100.0 + 38.9} = 0.4031. }[/math]

The next step is to convert these chromaticities to the CIE 1960 UCS in order to be able to determine the CCT:

[math]\displaystyle{ u = \frac{4 \times 0.4402}{-2 \times 0.4402 + 12 \times 0.4031 + 3} = 0.2531, }[/math]

[math]\displaystyle{ v = \frac{6 \times 0.4031}{-2 \times 0.4402 + 12 \times 0.4031 + 3} = 0.3477. }[/math]

Relative SPD of FL4 and a black body of equal CCT. Not normalized.

Examining the CIE 1960 UCS reveals this point to be closest to 2938 K on the Planckian locus, which has a coordinate of (0.2528, 0.3484). The distance of the test point to the locus is under the limit (5.4×10−3), so we can continue the procedure, assured of a meaningful result:

[math]\displaystyle{ \begin{align} \text{DC} &= \sqrt{(0.2531 - 0.2528)^2 + (0.3477 - 0.3484)^2} \\ &= 8.12 \times 10^{-4} \lt 5.4 \times 10^{-3}. \end{align} }[/math]

We can verify the CCT by using McCamy's approximation algorithm to estimate the CCT from the xy chromaticities:

[math]\displaystyle{ \text{CCT}_\text{est.} = -449 n^3 + 3525 n^2 - 6823.3 n + 5520.33, }[/math]

where [math]\displaystyle{ n = \frac{x - 0.3320}{y - 0.1858} }[/math].

Substituting [math]\displaystyle{ (x, y) = (0.4402, 0.4031) }[/math] yields n = 0.4979 and CCTest. = 2941 K, which is close enough. (Robertson's method can be used for greater precision, but we will be content with 2940 K in order to replicate published results.) Since 2940 < 5000, we select a Planckian radiator of 2940 K as the reference illuminant.

The next step is to determine the values of the test color samples under each illuminant in the CIEUVW color space. This is done by integrating the product of the CMF with the SPDs of the illuminant and the sample, then converting from CIEXYZ to CIEUVW (with the u, v coordinates of the reference illuminant as white point):

Illuminant TCS1 TCS2 TCS3 TCS4 TCS5 TCS6 TCS7 TCS8
Reference U 39.22 17.06 −13.94 −40.83 −35.55 −23.37 16.43 44.64
V 2.65 9.00 14.97 7.88 −2.86 −13.94 −12.17 −8.01
W 62.84 61.08 61.10 58.11 59.16 58.29 60.47 63.77
CIE FL4 U 26.56 10.71 −14.06 −27.45 −22.74 −13.99 9.61 25.52
V 3.91 11.14 17.06 9.42 −3.40 −17.40 −15.71 -10.23
W 63.10 61.78 62.30 57.54 58.46 56.45 59.11 61.69
CIE FL4
(CAT) 		U 26.34 10.45 −14.36 −27.78 −23.10 −14.33 9.37 25.33
V 4.34 11.42 17.26 9.81 −2.70 −16.44 −14.82 −9.47
W 63.10 61.78 62.30 57.54 58.46 56.45 59.11 61.69

From this we can calculate the color difference between the chromatically adapted samples (labeled "CAT") and those illuminated by the reference. (The Euclidean metric is used to calculate the color difference in CIEUVW.) The special CRI is simply [math]\displaystyle{ R_i = 100 - 4.6 \Delta E_{UVW} }[/math].

TCS1 TCS2 TCS3 TCS4 TCS5 TCS6 TCS7 TCS8
[math]\displaystyle{ \Delta E_{UVW} }[/math] 12.99 7.07 2.63 13.20 12.47 9.56 7.66 19.48
Ri 40.2 67.5 87.9 39.3 42.6 56.0 64.8 10.4

Finally, the general color rendering index is the mean of the special CRIs: 51.

The cyan circles indicate the TCS under the reference illuminant. The short, black, vectors indicate the TCS under the test illuminant, before and after chromatic adaptation transformation (CAT). (The vectors are short because the white points are close.) The post-CAT end of the vector lies NW, mirroring the chromaticity vector between the reference and test illuminants. The special CRIs are reflected in the length of the dotted lines linking the chromaticities of the samples under the reference and chromatically adapted test illuminants, respectively. Short distances, as in the case of TCS3, result in a high special CRI (87.9), whereas long distances, as in the case of TCS8, result in a low special CRI (10.4). In simpler terms, TCS3 reproduces better under FL4 than does TCS8 (relative to a black body).

Typical values

Light source CCT (K) CRI Ra
Low-pressure sodium (LPS/SOX) 1800 −44
Clear mercury-vapor 6410 17
High-pressure sodium (HPS/SON) 2100 24
Coated mercury-vapor 3600 49
Halophosphate warm-white fluorescent 2940 51
Halophosphate cool-white fluorescent 4230 64
Tri-phosphor warm-white fluorescent 2940 73
Halophosphate cool-daylight fluorescent 6430 76
"White" SON 2700 82
Standard LED Lamp 2700–5000 83
Quartz metal halide 4200 85
Tri-phosphor cool-white fluorescent 4080 89
High-CRI LED lamp (blue LED) 2700–5000 95
Ceramic discharge metal-halide lamp 5400 96
Ultra-high-CRI LED lamp (violet LED) 2700–5000 99
Incandescent/halogen bulb 3200 100

A reference source, such as blackbody radiation, is defined as having a CRI of 100. This is why incandescent lamps have that rating, as they are, in effect, almost blackbody radiators.[24][25] The best possible faithfulness to a reference is specified by CRI = 100, while the very poorest is specified by a CRI below zero. A high CRI by itself does not imply a good rendition of color, because the reference itself may have an imbalanced SPD if it has an extreme color temperature.

Special value: R9

Ra is the average value of R1–R8; other values from R9 to R15 are not used in the calculation of Ra, including R9 "saturated red", R13 "skin color (light)", and R15 "skin color (medium)", which are all difficult colors to faithfully reproduce. R9 is a vital index in high-CRI lighting, as many applications require red lights, such as film and video lighting, medical lighting, art lighting, etc. However, in the general CRI (Ra) calculation R9 is not included.

R9 is one of the numbers of Ri refers to test color samples (TCS), which is one score in extended CRI. It is the number rates the light source's color revealing ability towards TCS 09. And it describes the specific ability of light to accurately reproduce the red color of objects. Many lights manufacturers or retailers do not point out the score of R9, while it is a vital value to evaluate the color rendition performance for film and video lighting, as well as any applications that need high CRI value. So, generally, it is regarded as a supplement of color rendering index when evaluating a high-CRI light source.

R9 value, TCS 09, or in other words, the red color is the key color for many lighting applications, such as film and video lighting, textile printing, image printing, skin tone, medical lighting, and so on. Besides, many other objects which are not in red color, but actually consists of different colors including red color. For instance, the skin tone is impacted by the blood under the skin, which means that the skin tone also includes red color, although it looks much like close to white or light yellow. So, if the R9 value is not good enough, the skin tone under this light will be more paleness or even greenish in your eyes or cameras.[26]

Criticism

Ohno and others have criticized CRI for not always correlating well with subjective color rendering quality in practice, particularly for light sources with spiky emission spectra such as fluorescent lamps or white LEDs. Another problem is that the CRI is discontinuous at 5000 K,[27] because the chromaticity of the reference moves from the Planckian locus to the CIE daylight locus. (Davis Ohno) identify several other issues, which they address in their color quality scale (CQS):

  • The color space in which the color distance is calculated (CIEUVW) is obsolete and nonuniform. Use CIELAB or CIELUV instead.
  • The chromatic adaptation transform used (Von Kries transform) is inadequate. Use CMCCAT2000 or CIECAT02 instead.
  • Calculating the arithmetic mean of the errors diminishes the contribution of any single large deviation. Two light sources with similar CRI may perform significantly differently if one has a particularly low special CRI in a spectral band that is important for the application. Use the root-mean-square deviation instead.
  • The metric is not perceptual; all errors are equally weighted, whereas humans favor certain errors over others. A color can be more saturated or less saturated without a change in the numerical value of ∆Ei, while in general a saturated color is experienced as being more attractive.
  • A negative CRI is difficult to interpret. Normalize the scale from 0 to 100 using the formula [math]\displaystyle{ R_\text{out} = 10 \ln \left[\exp(R_\text{in}/10) + 1\right] }[/math].
  • The CRI cannot be calculated for light sources that do not have a CCT (non-white light).
  • Eight samples are not enough since manufacturers can optimize the emission spectra of their lamps to reproduce them faithfully, but otherwise perform poorly. Use more samples (they suggest fifteen for CQS).
  • The samples are not saturated enough to pose difficulty for reproduction.
  • CRI merely measures the faithfulness of any illuminant to an ideal source with the same CCT, but the ideal source itself may not render colors well if it has an extreme color temperature, due to a lack of energy at either short or long wavelengths (i.e., it may be excessively blue or red). Weight the result by the ratio of the gamut area of the polygon formed by the fifteen samples in CIELAB for 6500 K to the gamut area for the test source. 6500 K is chosen for reference since it has a relatively even distribution of energy over the visible spectrum and hence high gamut area. This normalizes the multiplication factor.

Alternatives

(CIE 2007) "reviews the applicability of the CIE color rendering index to white LED light sources based on the results of visual experiments". Chaired by Davis, CIE TC 1-69(C) is currently investigating "new methods for assessing the color rendition properties of white-light sources used for illumination, including solid-state light sources, with the goal of recommending new assessment procedures [...] by March, 2010".[28]

For a comprehensive review of alternative color rendering indexes see (Guo Houser).

(Smet 2011) reviewed several alternative quality metrics and compared their performance based on visual data obtained in nine psychophysical experiments. It was found that a geometric mean of the GAI index and the CIE Ra correlated best with naturalness (r=0.85), while a color quality metric based on memory colors (MCRI[29]) correlated best for preference (r = 0.88). The differences in performance of these metrics with the other tested metrics (CIE Ra; CRI-CAM02UCS; CQS; RCRI; GAI; geomean (GAI, CIE Ra); CSA; Judd Flattery; Thornton CPI; MCRI) were found to be statistically significant with p < 0.0001.[30]

Dangol, et al., performed psychophysical experiments and concluded that people's judgments of naturalness and overall preference could not be predicted with a single measure, but required the joint use of a fidelity-based measure (e.g., Qp) and a gamut-based measure (e.g., Qg or GAI.).[31] They carried out further experiments in real offices evaluating various spectra generated for combination existing and proposed color rendering metrics.[32][33][34]

Due to the criticisms of CRI many researchers have developed alternative metrics, though relatively few of them have had wide adoption.

Gamut area index (GAI)

Developed in 2010 by Rea and Freyssinier, the gamut area index (GAI) is an attempt to improve over the flaws found in the CRI.[35] They have shown that the GAI is better than the CRI at predicting color discrimination on standardized Farnsworth-Munsell 100 Hue Tests and that GAI is predictive of color saturation.[10] Proponents of using GAI claim that, when used in conjunction with CRI, this method of evaluating color rendering is preferred by test subjects over light sources that have high values of only one measure. Researchers recommend a lower and an upper limit to GAI. Use of LED technology has called for a new way to evaluate color rendering because of the unique spectrum of light created by these technologies. Preliminary tests have shown that the combination of GAI and CRI used together is a preferred method for evaluating color rendering.[36][37]

Color quality scale (CQS)

Further information: Earth:Color quality scale

(Pousset Obein) developed a psychophysical experiment in order to evaluate light quality of LED lightings. It is based on colored samples used in the "color quality scale". Predictions of the CQS and results from visual measurements were compared.

Film and video high-CRI LED lighting

Further information: Earth:High-CRI LED lighting

Problems have been encountered attempting to use LED lighting on film and video sets. The color spectra of LED lighting primary colors does not match the expected color wavelength bandpasses of film emulsions and digital sensors. As a result, color rendition can be completely unpredictable in optical prints, transfers to digital media from film (DIs), and video camera recordings. This phenomenon with respect to motion picture film has been documented in an LED lighting evaluation series of tests produced by the Academy of Motion Picture Arts and Sciences scientific staff.[38]

To that end, various other metrics such as the TLCI (television lighting consistency index) have been developed to replace the human observer with a camera observer.[39] Similar to the CRI, the metric measures quality of a light source as it would appear on camera on a scale from 0 to 100.[40] Some manufacturers say that their products have TLCI values of up to 99.[41]

References

  1. ↑ "Neonatal intensive care unit lighting: Update and Recommendations". https://www.researchgate.net/publication/305334032. 
  2. ↑ "CIE 17.4-1987 International Lighting Vocabulary". http://www.cie.co.at/publ/abst/17-4-89.html. 
  3. ↑ "LZC-00GW00 Data Sheet". LED ENGIN. March 16, 2015. http://www.ledengin.com/files/products/LZC/LZC-00GW00.pdf. 
  4. ↑ Sándor, Norbert; Schanda, János (September 1, 2006), "Visual colour rendering based on colour difference evaluations", Lighting Research and Technology 38 (3): 225–239, doi:10.1191/1365782806lrt168oa .
    Conference version of this article:
    Sándor, Norbert; Schanda, János (2005), "Visual colour-rendering experiments", AIC Colour '05: 10th Congress of the International Colour Association: 511–514, http://www.knt.vein.hu/staff/schandaj/SJCV-Publ-2005/521.pdf 
  5. ↑ Guo, Xin; Houser, Kevin W. (2004), "A review of colour rendering indices and their application to commercial light sources", Lighting Research and Technology 36 (3): 183–199, doi:10.1191/1365782804li112oa 
  6. ↑ 6.0 6.1 CIE (1995), Method of Measuring and Specifying Colour Rendering Properties of Light Sources, Publication 13.3, Vienna: Commission Internationale de l'Eclairage, ISBN 978-3-900734-57-2, http://www.cie.co.at/publ/abst/13-3-95.html, retrieved 2008-01-19  (A verbatim re-publication of the 1974, second edition. Accompanying disk D008: Computer Program to Calculate CRIs. )
  7. ↑ Illuminating Engineering Society. 2018. IES Method for Evaluating Light Source Color Rendition, IES Technical Memorandum (TM) 30-18.
  8. ↑ P. J. Bouma (1948). Physical aspects of colour; an introduction to the scientific study of colour stimuli and colour sensations. (Eindhoven: Philips Gloeilampenfabrieken (Philips Industries) Technical and Scientific Literature Dept.). 
  9. ↑ American approach is expounded in (Nickerson 1960), and the European approach in (Barnes 1957), and (Crawford 1959). See (Schanda Sándor) for a historical overview.
  10. ↑ 10.0 10.1 Rea, M. S.; Freyssinier, J. P. (2010). "Color rendering: Beyond pride and prejudice". Color Research and Application 35 (6): 401–409. doi:10.1002/col.20562. 
  11. ↑ "Background". Guide to Light and Color in Retail Merchandising (Alliance for Solid-State Illumination Systems and Technologies) 8 (1): 5. March 2010. http://www.lrc.rpi.edu/programs/solidstate/assist/pdf/AR-ColorGuideforRetailLighting-March2010.pdf. 
  12. ↑ Rea, M.; Deng, L.; Wolsey, R. (2004). "Light Sources and Color". NLPIP Lighting Answers. Troy, NY: Rensselaer Polytechnic Institute. http://www.lrc.rpi.edu/nlpip/publicationDetails.asp?id=901&type=2. 
  13. ↑ Nickerson, Dorothy; Jerome, Charles W. (April 1965), "Color rendering of light sources: CIE method of specification and its application", Illuminating Engineering (IESNA) 60 (4): 262–271 
  14. ↑ Note that when CRI was designed in 1965, the most perceptually uniform chromaticity space was the CIE 1960 UCS, the CIE 1976 UCS not yet having been invented.
  15. ↑ (CIE 1995), Section 5.3: Tolerance for reference illuminant
  16. ↑ Per (Schanda Sándor), (Schanda 2002) and, as demonstrated in the Example section, the coefficient was chosen as 4.6 so that the CRI of the CIE standard illuminant F4, an obsolete "warm white" calcium halophosphate fluorescent lamp would be 51. Today's fluorescent "full-spectrum lights" boast CRIs approaching 100; e.g., Philips TL950 or EP patent 1184893. (Thornton 1972) compares older products; (Guo Houser) compares newer ones.
  17. ↑ It appeared that [math]\displaystyle{ R_i }[/math] could be negative ([math]\displaystyle{ \Delta E_i \ge 22 }[/math]), and this was indeed calculated for some lamp test colors, especially TCS9 (strong red).
  18. ↑ See the CIE 1960 UCS diagram towards the end of the Example section.
  19. ↑ TCS spectra in CSV form , Korea Research Institute of Standards and Science.
  20. ↑ Munsell Renotation Data, Munsell Color Science Laboratory, Rochester Institute of Technology
  21. ↑ "Authors' response to SA Fotios and JA Lynes" in (Sándor Schanda): "The main message of our investigations is an answer to the lamp industry, who still use the colour rendering index and the lamp efficacy as parameters for optimizing their lamp spectra, and have turned down the work of CIE TC 1-33 by stating that there are not enough visual experiments showing the shortcomings of the CIE colour rendering calculation method."[failed verification]
  22. ↑ Bodrogi (2004), p. 11, Past research to improve the CRI.
  23. ↑ X-Rite ColorChecker Chart.
  24. ↑ "Blackbody Radiator - an overview | ScienceDirect Topics". https://www.sciencedirect.com/topics/engineering/blackbody-radiator. 
  25. ↑ Fixtures, Access (2017-01-26). "CRI: What Is the Color Rendering Index? Is It Accurate?" (in en-US). https://www.accessfixtures.com/color-rendering-index/. 
  26. ↑ "Why R9 is important for High CRI Lighting?". https://www.mmsvideolight.com/why-r9-is-important-for-high-cri-lighting/. [yes|permanent dead link|dead link}}]
  27. ↑ "Authors' response to SA Fotios and JA Lynes" in (Sándor Schanda): "It is quite obvious that just at 5000 K, where the reference illuminant has to be changed, the present system shows discontinuity."[failed verification]
  28. ↑ CIE Activity Report. Division 1: Vision and Color. , p. 21, January 2008.
  29. ↑ Smet K. A. G., Ryckaert W. R., Pointer M. R., Deconinck G., Hanselaer P. Colour Appearance Rating of Familiar Real Objects. Colour Research and Application 2011; 36(3):192–200.
  30. ↑ Smet K. A. G., Ryckaert W. R., Pointer M. R., Deconinck G., Hanselaer P. Correlation between color quality metric predictions and visual appreciation of light sources.
  31. ↑ Dangol, R.; Islam, M.; Hyvärinen, M.; Bhusal, P.; Puolakka, M.; Halonen, L. (December 2013), "Subjective preferences and colour quality metrics of LED light sources", Lighting Research and Technology 45 (6): 666–688, doi:10.1177/1477153512471520, ISSN 1477-1535 
  32. ↑ Dangol, R; Islam, MS; Hyvärinen, M; Bhushal, P; Puolakka, M; Halonen, L (2015). "User acceptance studies for LED office lighting: Preference, naturalness and colourfulness". Lighting Research & Technology 47: 36–53. doi:10.1177/1477153513514424. 
  33. ↑ Islam, MS; Dangol, R; Hyvärinen, M; Bhusal, P; Puolakka, M; Halonen, L (2013). "User acceptance studies for LED office lighting: Lamp spectrum, spatial brightness and illuminance". Lighting Research & Technology 47: 54–79. doi:10.1177/1477153513514425. 
  34. ↑ Baniya, R. R.; Dangol, R.; Bhusal, P.; Wilm, A.; Baur, E.; Puolakka, M.; Halonen, L. (2015). "User-acceptance studies for simplified light-emitting diode spectra". Lighting Research and Technology 47 (2): 177–191. doi:10.1177/1477153513515264. 
  35. ↑ Rea, M. S.; Freysinnier-Nova, J. P. (2008). "Color rendering: A tale of two metrics". Color Research and Application 33 (3): 192–202. doi:10.1002/col.20399. 
  36. ↑ "Light Levels". Guide to Light and Color in Retail Merchandising (Alliance for Solid-State Illumination Systems and Technologies) 8 (1): 12. March 2010. http://www.lrc.rpi.edu/programs/solidstate/assist/pdf/AR-ColorGuideforRetailLighting-March2010.pdf. Retrieved 2020-09-14. 
  37. ↑ "Color Rendering". Recommendations for Specifying Color Properties of Light Sources for Retail Merchandising (Alliance for Solid-State Illumination Systems and Technologies) 8 (2): 6. March 2010. http://www.lrc.rpi.edu/programs/solidstate/assist/pdf/AR-SpecifyColorRec-March2010.pdf. Retrieved 2020-09-14. 
  38. ↑ "Solid State Lighting Report". September 3, 2014. http://www.oscars.org/science-technology/sci-tech-projects/solid-state-lighting-report. 
  39. ↑ "EBU Technology & Innovation - Television Lighting Consistency Index 2012". May 31, 2016. https://tech.ebu.ch/tlci-2012. 
  40. ↑ "The Guild of Television Cameramen: TLCI Results". http://www.gtc.org.uk/tlci-results.aspx. 
  41. ↑ "High TLCI LEDs for Film and Photography". https://www.yujiintl.com/film-lighting.html. 

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