report on detailed data of investigated colour quality indices version 1€¦ · report on detailed...
TRANSCRIPT
ENG05 Lightning
Report on detailed data of investigated colour
quality indices – version 1.0
Deliverable 3.1.1
of Work Package 3
WP 3 (Human perception of SSL)
Authors:
D. Renoux, J. Nonne
Laboratoire National de Métrologie et d’Essais, France
D. Sabol, P. Nemeček
Slovenský Metrologický Ústav, Slovakia
A report of the EMRP joint research project
ENG05 “Metrology for Solid State Lightning”
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DELIVERABLE REPORT DOCUMENTATION PAGE
1. Work package
WP 3 (Human perception of
SSL)
2. Deliverable number
3.1.1
3. Reporting date
30 Avril 2012
4. Title (and subtitle) Report on detailed data of investigated colour quality indices
5. Author(s) Renoux, Sabol 6. Lead author (e-mail)
7. Contributing researchers (institutes)
LNE (France) Renoux, Nonne;
SMU (Slovakia) Sabol, Nemeček.
8. Other contributing work packages
none
9. Lead researchers in other WPs
none
10. Supplementary notes This report is an internal project report. It is not for general circulation and should
be kept within the JRP ENG05 team. However, the contained list and description of relevant colour rendering
metrics may be published as a scientific paper.
11. Abstract
This report is the first deliverable (no. 3.1.1) of JRP ENG05 work package 3. The report is broken down in four
parts. The two first parts presents two reviews of relevant colour rendering metrics, which are composed: (i)
chronologically as they have been proposed and (ii) divided into groups with according to specific feature or
principle of the metric. Each metric is then described with the author’s introduction, detailed implementation,
general and special index computations, test colour sample set, description of subjective experiment (if any),
the author’s conclusion and our assessment and conclusion. The third part gives the results of the computed
CQIs over a broad dataset of SPDs using graph plot of results and correlation tables between indices/metrics.
Some parameter/component change effect on metrics are given as well as some implementation details.
This document will serve as base for the evaluation of performance of the new proposed or advanced metrics
derived throughout the next tasks, in particular D3.1.2, D3.1.3?
12. Key words: colour rendering, colour quality index, colour metric, colorimetry
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LIST OF FIGURES
ERREUR ! AUCUNE ENTREE DE TABLE D'ILLUSTRATION N'A ETE TROUVEE.
LIST OF TABLES
Table 1: Methods and approaches developed to quantify colour rendition properties of light sources ordered
chronologically providing year of the publication, the method’s name, principle of operation and
promoter(s). ..................................................................................................................................... 2
Table 2: Chronological list of the Reference based CQIs methods ................................................................... 3
Table 3: TCS used for CRI calculation. ............................................................................................................ 4
Table 4: TCS used for CRI calculation. ............................................................................................................ 7
Table 5: TCS used for CRI calculation. ............................................................................................................ 9
Table 6: TCS used for CQS calculation. ......................................................................................................... 11
Table 7: Chronological list of the Gamut based CQIs methods. ..................................................................... 14
Table 8: TCS for the Feeling of contrast CQI. ................................................................................................ 18
Table 9: Chronological list of the CQI metrics explicitly combining approaches to the colour rendition. ..... 18
Table 10: Chronological list of CQIs metrics employing statistical approaches to the colour rendition. ....... 20
Table 11: List of Memory colour based CQIs. ................................................................................................ 23
Table 13 : Correlation between metrics for all SPD ........................................................................................ 37
Table 14 : Correlation between metrics for fluorescent SPD .......................................................................... 37
Table 15 : Correlation between metrics for LED Cluster SPD ....................................................................... 38
LIST OF SYMBOLS
Ri CIE CRI Special index
Ra CIE CRI General index
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LIST OF ABBREVIATIONS
EMRP European Metrology Research Programme
NMI National Measurement Institute
JRP Joint Research Project
WP Work Package
SSL Solid State Lighting
LNE Laboratoire National de Métrologie et d’Essais
SMU Slovenský Metrologický Ústav
CQI Colour Quality Index
LED Light Emitting Diode
FL Fluorescent Light
CFL Compact Fluorescent Light
TCS Test Colour Samples
CRI Colour Rendering Index
CAT Chromatic Adaptation Transform
CCT Colour Correlated Temperature
CQS Colour Quality Scale
CCRI Categorical Colour Rendering Index
RCRI Rank Order Colour Rendering Index
FCI Feeling of Contrast Colour Rendering Index
CSA Cone Surface Area
CPI Colour Preference Index
CRC Colour Rendering Capacity
CDI Colour Discrimination Index
HDI Harmony Distortion Index
Hhr Harmony Rendering Index
HRI Harmony Rendering Index
MCRI Memory Colour Rendering Index
GA Gamut Area
CRV Colour Rendition Vector
HDI Hue Distortion Index
CSI Colour Saturation Index
SPD Spêctral Power Density
QTH Quartz Tungsten Halogen
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TABLE OF CONTENTS
1 INTRODUCTION .......................................................................................................................... 1
2 CHRONOLOGICAL REVIEW OF COLOUR RENDERING QUALITY METRIC ............ 2
3 REFERENCE SOURCE BASED METHOD .............................................................................. 3
3.1 1965: Technical report CIE 13 - 1965: Method of Measuring and Specifying Colour Rendering
Properties of light .......................................................................................................................................... 3
3.2 1967: A Flattery Index..................................................................................................................... 5
3.3 1974: Technical report CIE 13.2-1974: Method of measuring and specifying colour rendering
properties of light sources. ............................................................................................................................ 6
3.4 1974: Colour-preference index ........................................................................................................ 7
3.5 1995: Technical report CIE 13.3-1995: method of measuring and specifying colour rendering
properties of light sources. ............................................................................................................................ 8
3.6 1999: CIE Collection 1999 research note: colour rendering, TC 1-33 closing remarks.................. 8
3.7 2005: Colour quality scale ................................................................................................................ 9
3.8 2009: Modified Colour Rendering Index (“CRI00”) ...................................................................... 11
3.9 2010: CRI CAM02-UCS ................................................................................................................ 13
4 GAMUT BASED METHODS ..................................................................................................... 14
4.1 1972: Colour Discrimination Index ............................................................................................... 14
4.2 1984: Colour Rendering Capacity ................................................................................................. 15
4.3 1993: Colour Rendering Capacity (modified) ............................................................................... 15
4.4 1997: Cone Surface Area ............................................................................................................... 16
4.5 2007: Feeling of Contrast Colour Rendering Index ...................................................................... 17
5 COMBINED CQI METRICS ..................................................................................................... 18
5.1 2007: Colour Rendering & Gamut Area Index (CRI & GAI) ........................................................ 18
5.2 2011: Rank Order Colour Rendering Index (RCRI)...................................................................... 19
6 STATISTICAL APPROACH TO COLOUR RENDITION .................................................... 20
6.1 2001: Categorical Colour Rendering Index (CCRI) ....................................................................... 20
6.2 2009: Statistical Approach to colour quality of solid-state lamps .................................................. 21
7 COLOUR HARMONY IMPRESSION BASED APPROACH ................................................ 22
8 MEMORY COLOUR BASED INDEX ...................................................................................... 23
9 TEST COLOUR SAMPLES FOR COLOUR RENDERING PROPERTIES ASSESSMENT24
9.1 A dataset fro evaluating colour rendering property of lamps ......................................................... 24
9.2 Sample selection for a colour fidelity index ................................................................................... 25
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10 COMPUTATION OF INDICES AND METRICS .................................................................... 26
10.1 Introduction .................................................................................................................................... 26
10.2 Dataset of SPDs .............................................................................................................................. 26
10.3 Graphs of selected SPDs ................................................................................................................ 27
11 GLOBAL COMPARISON BETWEEN COMPUTED METRICS ......................................... 29
11.1 Comparison between CIE CRI Ra 13.3 and CIE Ra96 .................................................................. 29
11.2 Comparison between CIE CRI Ra 13.3 and CQS 7.5 Qa ............................................................... 30
11.3 Comparison between CIE CRI Ra 13.3 and CRI CAM02-UCS .................................................... 30
11.4 Comparison between CIE CRI Ra 13.3 and RCRI ......................................................................... 31
11.5 Comparison between CIE CRI Ra 13.3 and MCRI ........................................................................ 31
11.6 Comparison between CIE CRI Ra 13.3 and CFI ............................................................................ 32
11.7 Comparison between CIE CRI Ra 13.3 and CCRI ......................................................................... 32
11.8 Comparison between CIE CRI Ra 13.3 and CRI00 ....................................................................... 33
11.9 Comparison between CIE CRI Ra 13.3 and HDI/Hhr (CH for 2D) ............................................... 33
11.10 Comparison between CIE CRI Ra 13.3 and GAI ................................................. 34
11.11 Comparison between CIE CRI Ra 13.3 and GAI ................................................. 34
11.12 Comparison between CIE CRI Ra 13.3 and FCI .................................................. 35
11.13 Comparison between CIE CRI Ra 13.3 and CFI modified – CAM02-UCS ........ 35
11.14 Comparison between CIE CRI R96a, CRI R00a and CRI CAM02-UCS ............ 36
11.15 Comparison between proposal of indices/metrics and combined indices/metrics36
12 PEARSON CORRELATION BETWEEN COMPUTED METRICS ..................................... 37
13 PARAMETER/METHOD CHANGE EFFECT ON REFERENCE BASED METRICS ..... 39
13.1 Effect on TCS on CIE CRI Ra 13.3................................................................................................ 39
13.2 Effect of reference method determination on CRI Ra 13.3 ............................................................ 40
13.3 Effect of CAT method on CRV of CQS with adaptation factor D=1 ............................................. 41
13.4 Effect of index formulae change on CCRI ..................................................................................... 41
14 DETAILED IMPLEMENTATION OF COMPUTED METRICS .......................................... 42
14.1 Use of Munsell Atlas 1269 matte colour chips for CCRI categories ............................................. 42
14.2 Comparison of original and updated method for statistical index .................................................. 42
14.3 Best fit of HDI/Rhr computation using dichromatic pairs of colours ............................................ 43
15 DETAILED RESULTS OF COMPUTED METRICS .............................................................. 43
15.1 Colour rendition vectors (CRV) maps ............................................................................................ 43
15.2 Special indices charts ..................................................................................................................... 44
16 SELECTION OF LIGHT SOURCES FOR THE SUBJECTIVE EXPERIMENT ............... 44
16.1 Lamps specifications ...................................................................................................................... 45
16.2 Preliminary results for colour rendition metrics ............................................................................. 45
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17 PRELIMINARY STATEMENTS AND CONCLUSION ......................................................... 46
17.1 Metrics selection and implementation ............................................................................................ 46
17.2 Selection of light sources for the subjective experiment ................................................................ 47
17.3 Conclusion ...................................................................................................................................... 48
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1 INTRODUCTION
This report is the first deliverable for Work Package 3 (WP 3: Human perception of SSL) of the
European Metrology Research Programme (EMRP) project ENG05 Metrology for Solid State Lighting. The
focus of this deliverable is targeted on the SSL properties in photopic regime, in particular colour rendering,
i.e. the ability of the light source to render colour of objects. The colour perception is determined by the
three factors: (i) surface reflectance spectrum, (ii) spectral composition of the light source and (iii) perceptual
properties and mechanisms of the human visual system, which can allow for variations in the light source
spectra while maintaining the same colour perception (colour constancy).
This deliverable provides an overview of already existing colour quality metrics/indices (CQIs), which have
been proposed and tested to the need of quantifying colour rendering capabilities of today light sources
including: halogen (QTH), fluorescent light tubes (FL), compact fluorescent light (CFL), but more
importantly, light emitting diodes (LED) based light sources. This overview will be later used as a reference
point for the tasks of the WP 3 deliverables, in particular: D3.1.2 (Report on indoor test and assessment of
studied CQIs metrics), D3.1.3 (Study of colour rendition index of street luminaires), D3.1.4 (Technical
guideline for use and interpretation of CQIs) and D3.1.5 (Recommendation report to CIE to improve SSL
colour quality. Best practice is drawn from field trials, psycho-visual and CQIs data).
The purpose of deriving a reliable model (colour quality metric), which would be able quantitatively estimate
the perceived colour, is essential for optimisation and achieving the full potential development of LED
lighting.
The deliverable is divided into 4 parts, the two first parts aim to offer two views on the relevant CQI
metrics: (i) chronological evolution of the metrics and (ii) sorted metrics into the groups created according to
common principles for the present metrics:
i) the first part (2) holds a table with chronological list of more or less known methods proposed to
tackle the problem of governing the colour rendition properties. Four entries are presented –
publication year, the name, basic principle of the method and the author(s).
ii) the second part is divided into sections (3 to 9). Each section starts with a brief description of the
common basis of all methods placed in the subsection. After this introduction, each method is
described in the individual subsection, which contains the following entries following by
highlighting the key features of every method.
iii) The third part gives the results of the computed CQIs over a broad dataset of SPDs. The SPDs are
sorted by categories to better visualize the indices/metrics differences for each category. The general
approach is to compare the proposal to the current CRI and to compare proposals between them.
Comparisons are mainly displayed using a chart of CQI value against TCS number. Correlation
tables between indices/metrics are presented for the overall SPDs or for a category of SPDs (FL,
lED clusters). Some effects of metric parameter or component changes are also presented, followed
by few graph reflecting specific implementation of metrics.
iv) The fourth part applies to the measured SPDs selected for the subjective experiment and illustrates
the diversity between technologies, SPD shape (peaks contribution, continuous contribution, CCT)
and indices/metrics results required to conduct a valuable study of colour rendering.
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2 CHRONOLOGICAL REVIEW OF COLOUR RENDERING QUALITY METRIC
Year Method Method Base Author
1965 CIE 13: Method of measuring and specifying
colour rendering properties of light sources (CRI) Reference based index Members of CIE 13
1967 Flattery index (Rf) Reference based index D. B. Judd
1972 Color-discrimination index (CDI) Gamut based index W. A. Thorton
1974 CIE 13.2: Method of measuring and specifying
colour rendering properties of light sources (CRI) Reference based index Members of CIE 13.2
1974 Color-preference index (CPI) Reference based index W. A. Thorton
1985 Colour preference index (CPI) Reference based index H. D. Einhorn
1984 Colour rendering capacity (CRC) Gamut based index H. Xu
1985 Rb index Reference based index T. Seim
1985 Combined color rendering-color preference index Reference based index J. Schanda
1990 Categorical color rendering index (proposed by
Boyton et al)
Statistical approach:
categorical color rendering
with reference source
R. M. Boyton, L. Fargo,
B. L. Collins
1992 Colour rendering capacity (modified) Gamut based index H. Xu
1994 CIE 13.3: Method of measuring and specifying
colour rendering properties of light sources (CRI) Reference based index Members of CIE 13.3
1997 Cone surface area (CSA) Gamut based index S. A. Fotios
1999 Colour rendering – TC 1-33 closing remark Reference based index Member of CIE TC1-33
2001 Categorical color rendering index (CCRI)
(proposed by Yaguchi et al)
Statistical approach:
categorical color rendering
with reference source
H. Yaguchi, Y. Takahashi,
S. Shioiri
2005 Color Quality Scale (CQS) Reference based index Y. Ohno, W. Davis
2007 Feeling of contrast colour rendering index (FCI) Gamut based index K. Hashimoto, T. Yano,
M. Shimizu, Y. Nayatani
2007 Colour rendering & Gamut area index (CRI &
GAI)
Reference based and gamut
based index
M. S. Rea, J.P.
Freyssinier-Nova
2009 Modified Colour Rendering Index (CRI00) Reference based index D. Geisler-Moroder, A.
Dur
2009 Harmony rendering index (HRI) Colour harmony impression
based
F. Szabo, P. Bodrogi, J.
Schanda
2009 4D Colour quality metric: CCT-CFI-CSI-HDI
Statistical approach:
evaluation based on colour
rendering vector
A. Zukauskas, R.
Vaicekauskas, F.
Ivanauskas, H.
Vaitkevicius, M. S. Shur
2010 CIECAM02UCS Colour rendering index
(CIECAM02UCS CRI) Reference based index M. R. Luo
2010 Colour rendering index based on memory colours
(MCRI) Memory colour based index
K. Smet, W. R. Ryckaert,
G. Deconinck, P.
Hanselaer
2011 Memory colour quality metric (Sa) Memory colour based index
K. Smet, W. R. Ryckaert,
M. R. Pointer, G.
Deconinck, P. Hanselaer
2011 Rank order colour rendering index (RCRI) Reference and ordinal scale
based index
P. Bodrogi, S. Bruckner,
T. Q. Khanh
Table 1: Methods and approaches developed to quantify colour rendition properties of light sources ordered
chronologically providing year of the publication, the method’s name, principle of operation and
promoter(s).
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3 REFERENCE SOURCE BASED METHOD
The principle of these methods is based on comparing the colour coordinates of the rendered colour
of a sample illuminated by: (i) the testing light source, and (ii) the corresponding reference light source in a
colour space. The distance between the tested and reference coordinates stands for the colour rendition error
of the tested source compared to the reference. Therefore the reference source methods are naturally colour
fidelity metrics, however they can easily be modified to include subjective aspects like flattery or colour
preference (Flattery index, Colour Quality Scale). The reference light source is assumed to be either
Plankian radiator or daylight depending on Correlated Colour Temperature (CCT) of the tested light source.
The first and so far the only internationally accepted method quantifying colour rendering properties
of light sources was Colour Rendering Index (CRI) established by CIE in 1965. It is archetype of the
reference source based method, which has been updated twice in 1974 and 1994, and many other methods
were derived as modifications of CRI. Therefore key features of CRI will be pointed out in the next sub-
section, which then will be followed by description of other reference source based methods.
Year Method Author
1965 CIE 13: Method of measuring and specifying
colour rendering properties of light sources (CRI) Members of CIE 13
1967 Flattery index (Rf) D. B. Judd
1974 CIE 13.2: Method of measuring and specifying
colour rendering properties of light sources (CRI) Members of CIE 13.2
1974 Color-preference index (CPI) W. A. Thorton
1985 Colour preference index (CPI) H. D. Einhorn
1985 Rb index T. Seim
1985 Combined color rendering-color preference index J. Schanda
1994 CIE 13.3: Method of measuring and specifying
colour rendering properties of light sources (CRI) Members of CIE 13.3
1999 Colour rendering – TC 1-33 closing remark Member of CIE TC1-33
2005 Color Quality Scale (CQS) Y. Ohno, W. Davis
2009 Modified Colour Rendering Index (CRI00) D. Geisler-Moroder, A.
Dur
2010 CIECAM02UCS Colour rendering index
(CIECAM02UCS CRI) M. R. Luo
Table 2: Chronological list of the Reference based CQIs methods
3.1 1965: Technical report CIE 13 - 1965: Method of Measuring and Specifying Colour
Rendering Properties of light
Reference:
CIE Publication No. 13: “Method of measuring and specifying colour rendering properties of light
sources,” CIE, Vienna, (1965).
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Author Introduction: Colour rendering of an illuminant is the effect of the illuminant on the colour
appearance of objects by conscious or subconscious comparison with their colour appearance under a
reference illuminant. The CIE standardised a method of colour rendering index calculation based on test
samples in 1965, later modified in 1974 and 1995.
Method: The CIE test method is a purely calculation method, no visual observations are needed in this
application. The aim of CRI was to develop a metric, which would evaluate the colour rendering
performance of emerging compact fluorescent lamps. It compares the colour rendition of test colour samples
illuminated by the test and reference light source.
Detail Implementation: Two types of the reference light source are assumed: (i) Plankian radiator and (ii)
daylight. The reference light source has to have the exact value of Colour Correlated Temeperature (CCT)
as the tested light source. If CCT of the tested light source is higher than 5000 K then spectral power density
of the daylight is used as the test source and in all the other cases the test source is the Plankian radiator.
As a next step tristimulus values for 8 basic and 6 supplementary coloured samples are calculated
using the spectral power distribution of the test and reference light source respectively.
The colour differences, ΔEi, are calculated in CIE 1960 UCS colour space.
General index:
8
18
1
i
ia RR ,
(3.1)
where Ri is special CRI index.
Special index:
ii ER 6.4100 ,
(3.2)
where ΔEi is defined by the following equation
2*2*2*
iiii WVUE .
(3.3)
Test Colour Samples (TCS): see the Table 3
basic TCS: TCS1 – TCS8
supplementary TCS: TCS9 – TCS14
TCS
1
TCS
2
TCS
3
TCS
4
TCS
5
TCS
6
TCS
7
TCS
8
TCS
9
TCS
10
TCS
11
TCS
12
TCS
13
TCS
14
7.5 R
6/4
5 Y
6/4
5 GY
6/8
2.5 G
6/6
10 BG
6/4
5 PB
6/8
2.5 P
6/8
10 P
6/8
4.5 R
4/13
5 Y
8/10
4.5 G
5/8
3 PB
3/11
5 YR
8/4
5 GY
4/4
Table 3: TCS used for CRI calculation.
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The method was updated in 1974 – CIE 13.2 and 1995 – CIE 13.3.
3.2 1967: A Flattery Index
Reference: D.B. Judd, „A flattery index for artificial illuminants,“ IES Transaction, pp. 593-598, (Oct 1967).
X. G. Beng, K. W. Houser, “A review of colour rendering indices and their application to
commercial light sources,” Light. Res. Technol. 36, pp 183-199, (2004).
Author Introduction: CRI (see Section 3.1) penalizes any departure from the true colours – if lower CRI is
preferred – these distortions were such as to flatter objects and be preferred by observers.
Method: similar to CRI method– but the target colours are the preferred colours as would be seen under the
ideally flattering source.
Detail Implementation: The special indices are computed as they are computed in the CIE 13 in the Section
3.1 with increments added to the preferred coordinates for the TCS. Increments are taken from the works of
Sanders, Buck and Froelich1,2,3
. The adopted values of the colour shifts are applicable for light sources with
CCT above 3500 K.
General index:
)(6.4100 ,Kff ER ,
(3.4)
where KfE , is the weighted arithmetical mean of the chromaticity difference for the test samples under the
test illuminant, with the chromaticity adjusted for one fifth of the preferred chromaticity shift.
TCS: chosen from the CRI TCS (TCS1 to TCS8, TCS13 and TCS14), the weighting is not uniform. The
scaling is adjusted to give a Rf of 90 to the reference source but cannot exceed 100.
Subjective experiment: none
Author’s conclusion: The flattery index is not recommended to be applied in its present form – but is
offered for consideration and further study.
The method was not updated with the latest edition of CIE 13.3
1 C. L. Sanders, “Color preference for natural objects,” Illum. Eng. 54, pp 452, (1959).
2 S. M. Newhall, R. W. Burnham, J. R. Clark, “Comparisons of successive with simultaneous color matching,” J. Opt.
Soc. Am. 47, pp 43, (1957). 3 C. J Bartleson, “Memory colors of familiar objects,” J. Opt. Soc. Am. 50, pp 73, (1960).
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3.3 1974: Technical report CIE 13.2-1974: Method of measuring and specifying colour
rendering properties of light sources.
Reference:
CIE, “Method of measuring and specifying colour rendering properties of light sources,” CIE
Publication No. 13.2, Vienna, (1974).
Author Introduction: This method is to be considered as the fundamental method of measuring and
specifying colour rendering properties of light sources and is recommended for type testing as well as for
testing individual lamps.
Method: the principle of the method remains coherent with the previous method introduced in 1965, see
Section (3.1), however Chromatic Adaptation Transform (CAT) – von Kries type – was added to account for
small chromaticity shifts between the tested and reference illuminants.
Detail Implementation: this metric comprises the same principle and the computation steps as for CIE 13-
1965, described in Section (3.1), in addition of using von Kries CAT applied to obtain adapted chromaticity
coordinates of the TCS under the tested illuminant. In this way it is compensated for different chromaticity
of the illuminants. The adapted chromaticity coordinates are calculated by using the following equations
ik
k
rik
k
r
ik
k
rik
k
r
ik
dd
dc
c
c
dd
dc
c
c
u
,,
,,
,
481.1518.16
4404.0872.10
,
(3.5)
ik
k
rik
k
r
ik
dd
dc
c
cv
,,
,
481.1518.16
520.5
,
(3.6)
where
vuv
c 1041
,
(3.7)
uvv
d 481.1404.0708.11
.
(3.8)
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General index:
8
18
1
i
ia RR ,
(3.9)
where Ri is special CRI index.
Special index:
ii ER 6.4100 ,
(3.10)
where ΔEi is colour difference between the reference and tested light source.
Test Colour Samples (TCS): see the Table 3
basic TCS: TCS1 – TCS8
supplementary TCS: TCS9 – TCS14
TCS
1
TCS
2
TCS
3
TCS
4
TCS
5
TCS
6
TCS
7
TCS
8
TCS
9
TCS
10
TCS
11
TCS
12
TCS
13
TCS
14
7.5 R
6/4
5 Y
6/4
5 GY
6/8
2.5 G
6/6
10 BG
6/4
5 PB
6/8
2.5 P
6/8
10 P
6/8
4.5 R
4/13
5 Y
8/10
4.5 G
5/8
3 PB
3/11
5 YR
8/4
5 GY
4/4
Table 4: TCS used for CRI calculation.
Subjective experiment: none
Author’s conclusion:
The method was updated in 1974 – CIE 13.2 and 1995 – CIE 13.3.
3.4 1974: Colour-preference index
Reference:
W. A. Thorton, “Validation of the color preference index,” J. Illum. Eng. Soc. 4, pp. 48-52, (1974).
X. G. Beng, K. W. Houser, “A review of colour rendering indices and their application to
commercial light sources,” Light. Res. Technol. 36, pp 183-199, (2004).
Method: similar to CRI method (Section 3.1) – but the target colours are the preferred colours under the
reference source.
General index :
ECPI 18.7156 .
(3.11)
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Detail Implementation: The special indices are computed as they are computed in the CIE 13 with an
increment added to the preferred coordinates for the TCS. Increments are taken from the Judd’s work, see
Section 3.2. The increments refer to sky light and artificial illuminants approximating it. The method
applied for illuminants is not too different from that of D65.
TCS: chosen from the CRI TCS (TCS1 to TCS8), the weighting is uniform. The scaling is adjusted to give
a CPI of 100 to the reference source, which can be remarkably exceeded with a maximum of 156 to for a test
source with ideal preference rendering.
The method was not updated with the latest edition of CIE 13.3
3.5 1995: Technical report CIE 13.3-1995: method of measuring and specifying colour
rendering properties of light sources.
Reference:
CIE, “Method of Measuring and Specifying Colour Rendering Properties of Light Sources,” CIE
Publ. No. 109-1995, (1995).
Method: this method is a verbatim re-publication of the method published in 1974 described in detail in
Section Error! Reference source not found..
3.6 1999: CIE Collection 1999 research note: colour rendering, TC 1-33 closing remarks
Reference:
CIE, Colour rendering, TC 1-33 closing remarks, CIE Publ. No. 135/2, (1999).
Author Introduction:
Method: the principle of the method remains the same as in first method introduced in 1965, see Section
(3.1). However, amendments were added, which some of those are not disambiguous:
|Reference illuminant is either restricted to a choice from 6 recommended illuminants (D65,
D50, P4200, P3450, P2950, P2700) or the nearest daylight/black-body illuminant is found
using CIELAB space.
New TCS set: 8 from ColorChecker® and 2 skin complexion (Caucasian and Oriental)
colours.
New chromatic adaptation: Bradford transformation.
The calculation of Ra has to be performed according to a non-technical decision due to lack
of disagreement among the committee members.
Detail Implementation:
|Reference illuminant has to be selected either in CIELAB space or chosen from six
recommended illuminants.
Chromaticity coordinates and Y values are calculated for the new TCS illuminated by the test
and reference illuminant.
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Chromatic adaptation – CIECAT94 – is applied for both data sets transforming them to D65
illuminant adaptation. All further calculations are performed in D65 adapted space.
All x, y, Y parameters are transformed to CIELAB space, where colour differences are also
calculated.
Determination of Ri values and conclude on Ra. The calculation of Ra has to be performed
according to a non-technical decision due to lack of disagreement among the committee
members.
General index:
10
1
9610
196
i
ia RR ,
(3.12)
where: *100 ii EcR ,
(3.13)
where:
248.396 cRc a , for the method, in which 6 target chromaticities are to be used as
reference illuminant.
032.3/96 aLABTCCRc , when the nearest daylight/black-body chromaticity in
CIELAB is used.
TCS :
TCS No. TCS
1
TCS
2
TCS
3
TCS
4
TCS
5
TCS
6
TCS
7
TCS
8
TCS
9
TCS
10
Color
Checker No.
MCC
15
MCC
7
MCC
16
MCC
11
MCC
14
MCC
18
MCC
13
MCC
17
Cauca-
sian
skin
Orien-
tal
skin Munsell
notation
5 R
4/12
5 Y
6/11
5 Y
8/11.1
5 GY
7.08/9.1
0.1G
5.38/9.65
5 B
5/8
7.5 PB
2.9/12.75
2.5 RP
5/12
Table 5: TCS used for CRI calculation.
Subjective experiment : none
Author’s conclusion: the TC hopes to resolve the present issues and until then recommends to experiment
with the described method and compare the obtained values with visual experiments.
3.7 2005: Colour quality scale
Reference:
Y. Ohno, “Color rendering and luminous efficacy of white LED spectra,” SPIE 4th conference on
SSL, (2004).
Y. Ohno, “Spectral design considerations for white LED color rendering,” Opt. Eng. 44(11), 111302,
9 pages, (2005).
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W. Davis, Y. Ohno, “Toward an improved color rendering metric,” SPIE 5th conference on SSL,
(2005).
W.Davis, Y. Ohno, “Approaches to color rendering measurement,” J. Mod. Opt. 56(13), pp 1412-
1419, (2009).
W. Davis, Y. Ohno, “Color quality scale,” Opt. Eng. 49(3), 033602, 16 pages, (2010).
Author Introduction: CQS is proposal of new metric, which aspires to replace the current CRI. It shares the
same principles but employs CIELAB, CMCCAT2000 as CAT, more saturated TCS and weighting function.
Moreover, it does not penalise for increase in the colour saturation but it does penalise for hue deviations.
Method: selection of the reference illuminant is the same as for CRI, see Section 3.1. CMCCAT2000 is
applied in order to correct for chromatic adaptation. Tristimulus values after the chromatic adaptation are
calculated for the TCS illuminated by the test illuminant. The adapted and reference tristimulus values are
transformed to CIELAB colour space. Then colour differences are then calculated excluding the
contribution of increased colour saturation. The score is combines the colour differences from all TCS by
using root mean square error, on which a logarithm is then applied in order to obtain non-negative score.
Furthermore the resulted value is corrected by a factor taking into account CCT.
Detail Implementation: calculations of the colour differences, which does not penalise an increased colour
saturation
iabsatiab EE ,,, , if 0, iabC ,
(3.14)
or
2,
2
,,, iabiabsatiab CEE , if 0, iabC ,
(3.15)
where
refiabtestiabiab CCC ,,,,, .
(3.16)
Combining the colour differences
215
1
,,15
1
i
satiabrms EE ,
(3.17)
and computing the first score, which can be negative
rmsrmsa EQ 1.3100, .
(3.18)
Application of logarithmic function to achieve a positive score
110/expln10 ,1000, rmsaa QQ ,
(3.19)
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General index:
1000, aCCTa QMQ ,
(3.20)
where
612.100255.0103959.8102672.9 72113 TTTMCCT
(3.21)
for T < 3500 K, while MCCT = 1 for T ≥ 3500 K.
TCS :
TCS 1 TCS 2 TCS 3 TCS 4 TCS 5 TCS 6 TCS 7 TCS 8
7.5 P 4/10 10 PB 4/10 5 PB 4/12 7.5 B 5/10 10 BG 6/8 2.5 BG 6/10 2.5 G 6/12 7.5 GY 7/10
TCS 9 TCS 10 TCS 11 TCS 12 TCS 13 TCS 14 TCS 15
2.5 GY 8/10 5 Y 8.5/12 10 Y 7/12 5 YR 7/12 10 R 6/12 5 R 4/14 7.5 RP 4/12
Table 6: TCS used for CQS calculation.
Subjective experiment : several done and on progress, not published yet.
Author’s conclusion:
3.8 2009: Modified Colour Rendering Index (“CRI00”)
Reference:
D. Geisler-Moroder, A. Dur, “Color-rendering indices in global illumination methods,”J. Electron
Imaging 18(4), 043015-1, 11 pages, (2009).
Author Introduction: the authors aim to present a revised approach for the CRI calculations, in which state-
of-the-art colorimetric methods are used but procedurewise still proceed in line with the CIE method.
Method: three main improvements have been implemented and tested:
CIELAB colour space.
Linearized Bradford chromatic adaptation transform.
Colour differences are evaluated by using CIEDE2000.
The metric is computed in accordance with the computational procedure of TC 1-33 closing remarks, which
are described in detail in Section 3.6.
The metric predictions were tested by using two sets of TCS: (i) 14 samples from Munsell Atlas, see Section
Error! Reference source not found., and (ii) currently recommended 10 samples from Macbeth
ColorChecker®, see Section Error! Reference source not found..
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General index:
n
i
i
n 1
0000 CRI1
CRI ,
(3.22)
where CRIi00 stands for the special index and n = 8 or 10 depending on whether the TCS from Munsell Atlas,
or from Macbeth ColorChecker® with two skin complexions are used.
*100 ii EcR ,
(3.23)
Special index: ii Ec 0000 100CRI
(3.24)
where the constant c is set to 9.097 if n = 8 or to 6.927 if n = 10.
TCS : two sets:
14 samples from Munsell Atlas as recommended in CIE 13.3-1995, described in Section 3.5.
8 samples from Macbeth ColorChecker® and two skin complexions as recommended by CIE
TC 1-33, described in Section 3.6
Subjective experiment : none
Author’s conclusion: the choice of TCS set does not significantly change the general CRI.
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3.9 2010: CRI CAM02-UCS
References:
R. LUO “The quality of light sources” Coloration Technology, 127,pp 75-87, 2011
C.Li et Al. “Assessing Colour Rendering Properties of Daylight Sources part II : a new colour
rendering index: CRI-CAM02UCS – University of Leeds, 2011
C.Li et Al “Eveluation of light source based upon colour appearance and colour preference
assessments”, AIC 2007 Color Science For Industry
Author Introduction: There is a general consensus that the current CRI Ra is insufficient because of the use
of obsolete CIE metrics.
Method: The workflow is identical to the CIE CRI 13.3 with an updated colour space and colour shift
computation, the CAM02-UCS derived from the CIE CAM02.
Detail Implementation:
222 '''UCS)-E(CAM02 MM baJ
General index:
ii
i
i
ER
R
UCS)-(CAM020.8100
8
1CAM02UCS-CRI
8
1
TCS : the original metric use the same TCS as the CIE CRI 13.3. One paper from K.Smet et Al (see chapter
7.) uses an updated set of 35 new TCS, and recently a set of 219 TCS was proposed (see chapter 9.) by Luo
et al.
Subjective experiment: yes, several experiments were conducted with LED light sources, classical light
sources and daylight simulators.
Author’s conclusion: the conclusions from the different papers are: the CRI-CAMUCS shows better
agreement to the visual difference than the original CIE-Ra, and the CAM02-UCS provides a solid
foundation for existing CRI and CQS.
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4 GAMUT BASED METHODS
The principle characteristic for these methods is absolute measure of area, which is determined by
chromaticity coordinates of TCSs. Larger surface suggests ability to render a broader range of colours by the
light source. However, none of these metrics speak about fidelity of the colour rendering.
Year Method Author
1972 Color-discrimination index (CDI) W. A. Thorton
1984 Colour rendering capacity (CRC) H. Xu
1992 Colour rendering capacity (modified) H. Xu
1997 Cone surface area (CSA) S. A. Fotios
2007 Feeling of contrast colour rendering index (FCI) K. Hashimoto, T. Yano, M. Shimizu, Y. Nayatani
Table 7: Chronological list of the Gamut based CQIs methods.
4.1 1972: Colour Discrimination Index
Reference:
W. A. Thornton, “Color-discrimination index,” J. Opt. Soc. Am. 62, pp 191-194, (1972).
X. G. Beng, K. W. Houser, “A review of colour rendering indices and their application to
commercial light sources,” Light. Res. Technol. 36, pp 183-199, (2004).
Method: it is gamut based method. The index quantifies surface enveloped by TCS of the general CRI in the
CIE uv diagram.
General index: Gamut area is calculated by the following formula :
7887566545543443233212215.0 vuvuvuvuvuvuvuvuvuvuvuvuGA
8118 vuvu .
The Colour discrimination index is calculated as
100005.0
GACDI .
The gamut area of the illuminant C is about 0.005, thus the CDI is normalized to 100 for the illuminant C.
Subjective experiment : none
Author’s conclusion: it is proposed that gamut area is not only a measure of color-discrimination capability
of an illuminant but its color-rendering capability, i.e., that the two are operationally indistinguishable.
Observed suspicion that three-band illuminant might be rendering general objects (fruits, meats, skin colours
etc) better, in some sense, than does daylight.
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4.2 1984: Colour Rendering Capacity
Reference:
H. Xu, “Colour rendering capacity of illumination,” J. Illum. Eng. Soc. 13, pp. 270-276, (1984).
X. G. Beng, K. W. Houser, “A review of colour rendering indices and their application to
commercial light sources,” Light. Res. Technol. 36, pp 183-199, (2004).
Author Introduction: Colour Rendering Capacity (CRC) aims to quantify the maximum possible number of
different colours, which can be displayed by a given illumination. CRC depends on the spectral power
distribution of the illuminant only.
Method: CRC computes the maximum chromaticity ranges at different luminance level in CIE 1960 uv
space, and then plots the area at the luminance level to form a curve. The relative area under the curve is
defined as the colour rendering capacity, so it is dimensionless quantifier.
TCS: this method requires no TCS.
Subjective experiment: none
Author’s conclusion: in lighting practise the CRC can be useful as a relevant predictor of what kind of
spectral composition of illumination can make a given chromatic environment, in general, appear more
colourful and brighter.
The method was updated in 1993 by using the CIE LUV colour space, where a colour solid forms clearly.
4.3 1993: Colour Rendering Capacity (modified)
Reference:
H. Xu, “Colour rendering capacity and luminous efficiency of a spectrum,” Light. Res. Technol. 25,
pp 131-132, (1993).
X. G. Beng, K. W. Houser, “A review of colour rendering indices and their application to
commercial light sources,” Light. Res. Technol. 36, pp 183-199, (2004).
Author Introduction: CRC is a measure proposed to estimate the potential of the light of a certain spectral
power distribution for revealing a great range of different colours.
Method: The current method is an update of the method proposed in 1983 and discussed in the Section
Error! Reference source not found.. The novelty of the updated method compared to its predecessor is in
employing CIE 1976 L*u*v* colour space displaying the colour solid associated with the infinite set of all
possible spectral reflectance functions under the considered spectral power distribution.
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Detail Implementation: First, surface colour calculation is carried out by using the tested spectral power
distribution in conjunction with the reflectance spectra of optimal colours (on MacAdam limit). The colour
solid of the tested illuminant is designed in CIE L*u*v* colour space for L* levels between 0 and 100. Then
the volume of the colour solid is calculated in arbitrary units. The result is then normalised in such a way
that the volume of equienergy spectrum is equal to 1.0.
TCS: this method requires no TCS.
Subjective experiment: none
Author’s conclusion: Light source D65 has higher CRC than illuminant A, although the both are judged as
equally good on the criterion of CRI. The light with a spectral power distribution of high CRC has a more
chances of achieving good results.
4.4 1997: Cone Surface Area
Reference:
S. A. Fotios, “The perception of light sources of different colour properties,” PhD thesis, UMIST
UK, Manchester, (1997).
X. G. Beng, K. W. Houser, “A review of colour rendering indices and their application to
commercial light sources,” Light. Res. Technol. 36, pp 183-199, (2004).
Method: Cone Surface Area (CSA) combines the measures of gamut area and source chromaticity in CIE
1976 u’v’ chromaticity diagram. CSA in fact is the surface area of a cone, which has a circular base of the
same area as the orthogonal gamut and a height of w’, which is the chromaticity coordinate.
Detail Implementation:
General index:
area surface curved base of area CSA
rLrCSA 2,
(4.1)
where 2r stands for area of the base and rL for the curved surface area respectively. r is radius of the
base, which is estimated from the gamut area by the following equation:
GAr ,
(4.2)
and L is the length of the slope of the cone defined as:
22 'wrL .
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(4.3)
Lastly, w’ is perpendicular height of the cone defined by the following equation:
''1' vuw .
(4.4)
TCS: none
Subjective experiment: none
Author’s conclusion:
4.5 2007: Feeling of Contrast Colour Rendering Index
Reference:
K. Hashimoto, T. Yano, M. Shimizu, Y. Nayatani, “New method for specifying color-rendering
properties of light sources based on feeling of contrast”, Col. Res. and Appl. 32, 361-371, (2007).
Author Introduction:
Method: is based on the principle that a light source that increasing the feeling of contrast (also referred to
as visual clarity or colour discrimination) also increases the saturation of coloured objects. The FCI metric
estimates the feeling of contrast as a function of the CIELAB gamut area of four highly saturated coloured
samples of Munsell Atlas: red, green, yellow and blue. The samples are illuminated by the test light source
(GATest) and D65 reference illuminant (GAD65)
Detail Implementation: The tristimulus values of the test illuminants are transformed using the CIECAT94,
the gamut area are computed in the 3D L*a*b* space by the sum of the area of (RGB) and ( RGY) triangles.
Un updated version in CIECAM is proposed in the paper.
General index:
23
65
100
D
Test
GA
GAFCI
(4.5)
TCS:
TCS 1 TCS 2 TCS 3 TCS 4
5 R 4/12 5.5 G 5/8 5 Y 8.2/10 4.5 B 3.2/10
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Table 8: TCS for the Feeling of contrast CQI.
Subjective experiment: yes, 20 lamps were rated by observer for the feeling of contrast and compared to
computed CFI and CRI Ra 13.3.
Author’s conclusion: The concept of FCI and CRI Ra are completely different to each other, the whiter LED
cluster (R,G,B) have high CFI value and are ont properly estimated by Ra, but can be evaluated
quantitatively by using FCI and Ra together.
5 COMBINED CQI METRICS
2007 Colour rendering & Gamut area index (CRI & GAI) Reference based and
gamut based index
M. S. Rea, J.P.
Freyssinier-Nova
2011 Rank Order Colour Rendering Index (RCRI) Reference and ordinal
scale based index
P. Bodrogi, S. Bruckner,
T. Q. Khanh
Table 9: Chronological list of the CQI metrics explicitly combining approaches to the colour rendition.
5.1 2007: Colour Rendering & Gamut Area Index (CRI & GAI)
Reference:
M.S. Rea, J.P. Freyssinier-Nova, “Color Rendering: a tale of two metrics”, Col. Res. Appl. 33, pp
192-202, (2007).
M.S. Rea, J.P. Freyssinier-Nova, “Color Rendering: beyond pride and predjudice,” Col. Res. Appl.
35, pp 401-209, (2010).
Author Introduction: There are several aspects of colour rendering and it should not be measured by any
single metric.
Method: This metric combines and takes advantages two metrics: CRI and GAI already described in Section
3.5 and a gamut area respectively, to quantify two aspects of the colour rendering properties: (i) fidelity of
colours and (ii) colour discrimination.
Detail Implementation: see Eq in 3.5 for CRI and the following formulae for GAI. Where the reference
gamut is the gamut area of the EES (equal energy stimulus). The gamut area are computed with the TCS of
the CRI Ra 13.3.
EES
Test
GA
GAGAI 100
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General index: considering the CRI Ra and the GAI values
TCS: same as CRI 13.3
Subjective experiment: in 2007 three experiments: (i) using warm light sources only (CCT < 4000 K), (ii)
using cold light sources only ((CCT > 5000 K) and (iii) both types of the light sources, have been reported,
which consisted of two tasks:
1. Observers performed Farnsworth-Munsell 100 hue test.
2. Observers had to judge naturalness and vividness of a collage with two species of birds (blue and red
colour).
In average 12 observers of age between 19 – 62 years participated in the experiments.
In 2010 an experiment, in which 18 observers (10 males, 8 females of age between 21 and 38 years) had to
judge attractiveness and naturalness of fruits and vegetables and mark three hues which the most influenced
their decision.
Both experiments lead the same conclusion.
Author’s conclusion: a good light source should have CRI > 80 and GAI between 80 and 100.
5.2 2011: Rank Order Colour Rendering Index (RCRI)
Reference:
P. Bodrogi, S. Bruckner, T. Q. Khanh, “Ordinal scale based description of Colour Rendering,” Col.
Res. Appl. 36, pp. 272-285, (2010).
P.Brodogi et al., Research report and proposal for a new assessment procedure – written for CIE TC
1-69: Color rendition by white light sources (2009).
Author Introduction: In practice, a rank order scale may be more suitable than a continuous scale, the main
motivation is to meet the main’s non-expert user’s expectation.
Method: The method use the CRI-CAMUCS colour difference, then for every TCS (1 to 17) five absolute
differences are calculated, the smallest difference corresponds to a ranking level (1 out of 5), then the
number of ranking (N1,N2,..) over the 17 TCS are computed and used for the general index.
Detail Implementation:
222 '''UCS)-E(CAM02 MM baJ
General index:
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31
21
17100
NNRCRI
TCS: 17 TCS chosen from the Macbeth test colour (12) chart and CQS (5).
Subjective experiment: yes, several experiments for the assessment of visual difference to establish the
metric had been performed and validation experiment on real still life are underway. In September 2009 an
already 6 observers and 5 2700k light sources was in the phase to be extended with 2 observers and 5 and
further 5 4500K lights sources.
Author’s conclusion: The present rank-order rendering index (RCRI) solves the problem of user
interpretation with discrete increments. The RCRI yields to lower values than CRI Ra, CQS, CRI-CAMUCS,
except for the best light sources and keeps the same order than CRI Ra. RCRI showed an overall
performance of 73% of good prediction. Alternative RCRI are proposed but not validated.
6 STATISTICAL APPROACH TO COLOUR RENDITION
1990 Categorical color rendering index (proposed by
Boyton et al)
Statistical approach:
categorical color rendering
with reference source
R. M. Boyton, L. Fargo,
B. L. Collins
2001 Categorical color rendering index (CCRI)
(proposed by Yaguchi et al)
Statistical approach:
categorical color rendering
with reference source
H. Yaguchi, Y.
Takahashi, S. Shioiri
2009 4D Colour quality metric: CCT-CFI-CSI-HDI
Statistical approach:
evaluation based on colour
rendering vector
A. Zukauskas, R.
Vaicekauskas, F.
Ivanauskas, H.
Vaitkevicius, M. S. Shur
Table 10: Chronological list of CQIs metrics employing statistical approaches to the colour rendition.
6.1 2001: Categorical Colour Rendering Index (CCRI)
Reference:
H. Yaguchi, Y. Takahashi, S. Shioiri, “A proposal of color rendering index based on categorical
color names,” Int. Lightning Congress Istanbul, Vol. II, (2001).
H. Yaguchi, N. Endoh, T. Moriyama, S. Shioiri, “Categorical color rendering of LED light sources,”
CIE Expert Symposium on LED Light Sources, Tokyo, (2004).
H. Yaguchi, “Color categories in various colour spaces”, presentation 9th CIC Scottsdale, (2001).
Author Introduction: Colour categorization of colours plays a important role in many practical applications.,
such as colour communication, colour signalling, colour coding and so on. The colour name is considered as
one of the attribute of colour appearance independently of the viewing condition. The purpose is to take into
account colour categorization rather than the colour difference for evaluating the quality of a light source.
Method: The method uses eleven colour categories, of 4 different J regions, bounded in the Ch plane of the
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CIECAM97s space. First, Four colour-chips for the D65 illuminant lying in each category bounding ‘i’ are
determined, lets denote Si the corresponding region in the Ch plane, then these colour-chips are used to
compute the region St under the test light source. The special index is computed by the ratio of the
intersection of St and Si dived by St.
Detail Implementation:
St
StSiCCRIi
100
General index: the general index is the average of the special indices.
21
1
21/)(i
CCRIiCCRI
TCS: 292 colour-chips from the Munsell glossy atlas.
Subjective experiment: yes, to establish the reference colour categories and to test the method.
Author’s conclusion: the author states from its subjective experiments than prediction with CCRI is better
than CIE Ra for white LED light sources and recommend the CCRI, rather than CIE Ra, for evaluating the
colour rendering quality of such light sources.
6.2 2009: Statistical Approach to colour quality of solid-state lamps
Reference:
A.Zukauskas et al., “Statistical Approach to colour quality of solid-state lamps”, IEEE journal of
selected topics in quantum electronics, vol n°6 (2009).
A.Zukauskas et al., “Colour rendition properties of solid-state lamps”, Journal of physics D : applied
physics 43 (2010).
Author Introduction: Since its introduction the CIE CRI metric is criticized for numerous drawbacks and
with the introduction of LED lighting the criticism reach a disruptive level. One way could to refine the CRI
method, or an alternative way is the development of more radical concept by employing a large number of
TCS.
Method: The method computes a colour fidelity index (CFI), a colour saturation index (CSI), a hue
distortion index (HDI) and uses the CCT to form the 4-D metric. These indices are computed using the CRV
determined by a reference light source calculated by the same method than the CIE CRI 13.3 method and a
CAT applied to the test source identical to the CIE CRI 13.3.
Detail Implementation: The CFI computation use an elliptical cylinder in the Yxy space with a 0.7%
threshold for luminance and the interpolated Mac Adams ellipse. The CSI and HDI exploits the magnitude
and the direction of the CRV.
General index: there are percentages of count for the CFI, CSI, and HDI over the all the TCS.
TCS: 1269 Munsell matte colours altlas
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Subjective experiment: none
Author’s conclusion: the 4D proposed metric for rating the colour quality of white lamps might be of
moderate significance for common Fls but unveils important colour rendition of solid-state lamps, in
particular for LED clusters, which have low colour fidelity but render the colours more saturated. The
authors outlines that the method requires to be updated with more recent colorimetric computation.
7 COLOUR HARMONY IMPRESSION BASED APPROACH
2009 Harmony rendering index (Hhr) Colour harmony impression based F. Szabo, P. Bodrogi, J. Schanda
Reference:
P. Bodrogi, P. Csuti, P. Horváth, J. Schanda, “Why does the CIE Colour Rendering Index fail for
white RGB LED light sources?” CIE Expert Symposium on LED Light Sources, Tokyo, (2004).
F. Szabo, P. Bodrogi, J. Schanda, “Experimental modeling of Colour Harmony,” Col. Res. Appl. 35,
pp 34-49, (2010).
F. Szabó, P. Bodrogi, J. Schanda, “A colour harmony rendering index based on predictions of colour
harmony impression,” Lighting Res. Technol. 41, pp 165-182, (2009).
F. Szabo, P. Bodrogi, I. Zilzi, J. Schanda, “Visual experiment on colour rendering harmony : a
formlua and a rendering index”, available online through http://cie2.nist.gov/TC1-69/….
Author Introduction: The failure of the current CIE CRI for modern (especially LED based) has been
demonstrated. There is no agreement about the factors to be included in the new colour quality metric. But
the colour harmony rendering property was declared, by the CIE meeting TC 1-69 - Bejin 2007, to be an
observable factor in colour quality.
Method: the method evaluates the difference between the colour harmony of the test light source and a
reference light source. The colour harmony is computed from predictive harmony formulae (CHF2M,
CHF2D,CHF3M,CHF3T ) applying to pairs and triads of for monochromatic, dichromatic and trichromatic
colours.
Detail Implementation: the reference light source is calculated by the same method than the CIE CRI 13.3
method. The colour harmony formulae uses the JCh correlates of the CIECAM02.
General index:
n
i
testirefihr CHFCHFkR1
,,100
where CHFi,ref and CHF i,test are calculated respectively for the reference and test source; CHF2M,
CHF2D,CHF3M,CHF3Tcan be substituted in the above formula. Recent publication uses the absolute value of
the difference (CHFi,ref - CHF i,test).
TCS: 17 pairs of Munsell matte colours and 5 triads of Munsell matte colours.
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Subjective experiment: several for quantify the colour harmony formulae and test the harmony rendering
index (Hhr).
Author’s conclusion: The harmony rendering index (Rhr) showed good correlation s with the results of
subjective experiments. The authors suggest using Rhr to supplement the current rendering index of the CIE
to describe colur quality of light sources.
8 MEMORY COLOUR BASED INDEX
2010 Colour rendering index based on
memory colours (MCRI) Memory colour based index
K. Smet, W. R. Ryckaert, G.
Deconinck, P. Hanselaer
2011 Memory colour quality metric (Sa) Memory colour based index K. Smet, W. R. Ryckaert, M. R.
Pointer, G. Deconinck, P. Hanselaer
Table 11: List of Memory colour based CQIs.
References:
K. Smet, W.R. Ryckaert, M.R. Pointer, G. Deconinck, P. Hanselaer, “Memory colours and colour
quality evaluation of conventional & SSL lamps,” Opt. Express 18, pp, 26229-26244, (2010).
K. Smet,W.R. Ryckaert, M.R. Pointer, G. Deconinck, P. Hanselaer, “Colour Appearance rating of
familiar real objects,” ,” Col. Res. Appl. 36, pp 192-200, (2011).
K Smet, W.R. Ryckaert, M.R. Pointer, G. Deconinck, P. Hanselaer, “Correlation between colour
quality metric predictions & visual appreciation of light sources,” Opt. Express 19, pp. 8151-8166,
(2011).
K Smet, W.R. Ryckaert, M.R. Pointer, G. Deconinck, P. Hanselaer, “Optimal color quality of LED
cluster based on memory colours,” ,” Opt. Express 19, pp. 6903-6912, (2011).
K Smet, W.R. Ryckaert, M.R. Pointer, G. Deconinck, P. Hanselaer” Optimisation of colour quality
of LED lighting with reference to memory colours”, Lighting Research Technology, published
online 11 January 2012.
Author Introduction: The current metric, i.e. CRI Ra 13.3, does not always correspond to the actual
perceived light source. Colour quality is not just fidelity but also preference, attractiveness, colour
discrimination and colour harmony. Daylight and Planckian radiator used as reference may not be the
“optimal” light source for comparison.
Method: The memory colour rendering index is derived from the similarity of colour objects rendered under
the tested light source. The similarity is based on a visual rating experiment of nine familiar objects.
Detail Implementation: the chromatic adaptation transform to D65, using CAT02, is applied on tristimulus
of the CIE 1964 10° observer. Then the adapted tristimulus converted in IPT colour space are inputted in the
specific similarity distribution Si(X) of objects. The specific Si(X) is rescaled using a sigmoid-like function.
ENG05 Lighting
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)10...1(
)())]()(())([(
2
1
2,
1,
4,5,
5,3,
2,
1,
i
eXS i
ii
ii
iiT
i
ii a
aX
aa
aa
a
aX
ii
General index: the general index, Rm, is computed from the general degree of similarity (Sa) using a
geometrical mean of the individual objects.
n
n
i
ia SS
1
3
21
21
)1(
2100,
p
dp
dp
im p
i
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TCS: spectral reflectance of a green apple, a banana, an orange, dried lavender, a smurf figurine, strawberry
yoghurt, a sliced cucumber, a cauliflower and Caucasian skin.
Subjective experiment: Yes, for metric elaboration, comparison with other metric and validation.
Author’s conclusion: The authors found, from their visual experiments, that the ranking with MCRI gives
better prediction than those obtained with CIE Ra and CQS.
9 TEST COLOUR SAMPLES FOR COLOUR RENDERING PROPERTIES
ASSESSMENT
2012 A dataset fro evaluating colour
rendering property of lamps
Improvement of fidelity
approach M.R. Luo
2012 Sample selection for a colour fidelity
index
Improvement of fidelity
approach Zs. Kosztyan
9.1 A dataset fro evaluating colour rendering property of lamps
At Leeds university a procedure was applied to a collection of 100.000 SPD of colours samples to set up 219 TCS. The
procedure uses 3 steps :
Targets Evenly distributed in CIELAB : 36 hues regions , 3 lightness levels and 3 chroma levels.
Distances (ΔE00) to TCS targets less than 2.5
Test colour constancy index (CII) with illuminants A, F2 and F11and using CMCCON02.
Targets adjustment until good colour constancy is achieved.
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9.2 Sample selection for a colour fidelity index
A test colour sample set including 90 references samples and 90 metameric samples plus 3 skin colours have been
composed.
The method used classified colours samples, from the Leed’s collection of 100.000 SPD, into clusters according their
spectra correlation. A set of representative metameric sample for each reference is constituted and the one giving the
best colour consistency (CII) is selected.
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10 COMPUTATION OF INDICES AND METRICS
10.1 Introduction
We present in the following the results of a set of reviewed indices or metrics, for colour rendition applied on
a collection of 122 spectral power densities (SPD) of classical and LED-based lightings.
The metrics have been implemented in a C++ program exactly as the authors recommended to do it with the
original data (test colour samples/TCS and parameters) or referenced data (Munsell Atlas, GretaMacbeth
colour checkers). Some of them have been compared to their original implementation – mainly Excel ®
spreadsheets – whenever they are provided by the CIE or directly by the authors.
10.2 Dataset of SPDs
The collection has been established from the SPDs of author’s Excel ® spreadsheet, CIE publications for
standard illuminants, and LNE’s measurements.
The collection can be broken down in the following main subsets:
7 SPDs of incandescent and halogen lamps, and planckian radiator with or without optical filter
49 SPDs of fluorescent tubes and compact lamps, including some CIE standards (Fn, F3.n)
5 SPDs of miscellaneous lamps (HMI, Mercury arc, Xenon arc)
9 SPDs of HPS lamps, including some CIE standards (HPn)
52 SPDs of 3 subsets of LED lamp types: phosphors converted (PC), phosphors converted with
NUV excitation (NUV), and LED clusters.
The SPDs are tabulated, charted sorted and identified in the Excel file spd_eng05_v2.xls. The SPDs have
been sorted to easily see the result per type. Similar SPDs in each main subset have been removed; a more
accurate selection using correlation analysis will be performed later.
The SPD which are not belonging to LNE’s measurements are copied from CQS, MCRI, CAM-UCS CRI,
RCRI Excel ® spreadsheet and CIE disks.
At the end a global correlation between metrics is computed doubling the number of SPD of the less
populated subsets to better balance the main types:
LED based 52
Fluorescent : 49
Other : 33
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10.3 Graphs of selected SPDs
Incandescant/Halogen spectra (7)
0,0000
0,2000
0,4000
0,6000
0,8000
1,0000
1,2000
380 430 480 530 580 630 680 730 780
Wavelenght (nm)
Sp
ectr
al
den
sit
y
HMI/Hg/Xe spectra (5)
0,0000
0,2000
0,4000
0,6000
0,8000
1,0000
1,2000
380 430 480 530 580 630 680 730 780
Wavelenght (nm)
Sp
ectr
al
den
sit
y
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HPS spectra (9)
0,0000
0,2000
0,4000
0,6000
0,8000
1,0000
1,2000
380 430 480 530 580 630 680 730 780
Wavelenght (nm)
Sp
ectr
al
den
sit
y
LED clusters & phosphor converted spectra (43)
0,00000
0,20000
0,40000
0,60000
0,80000
1,00000
1,20000
380 430 480 530 580 630 680 730 780
Wavelenght (nm)
Sp
ectr
al
den
sit
y
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11 GLOBAL COMPARISON BETWEEN COMPUTED METRICS
The results of the general index of computed metrics are plotted against the number of the targeted SPDs.
The computation is done with the original implantation for the dataset of 122 SPDs.
11.1 Comparison between CIE CRI Ra 13.3 and CIE Ra96
SPD categories
0 7 14 21 28 35 42 49 56 63 70 77 84 91 98 105 112 119
SPD N°
QTH/incandescent Fluorescent HMI/Hg/Xe HPS LED clusters LED PC LED PC NUV
Comparison CIE Ra 13.3 / CIE R96a
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
CIE R96a
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11.2 Comparison between CIE CRI Ra 13.3 and CQS 7.5 Qa
11.3 Comparison between CIE CRI Ra 13.3 and CRI CAM02-UCS
Comparison CIE Ra 13.3 / CQS 7.5
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
Qa
Comparison CIE Ra 13.3 / CRI CAM02-UCS
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
CRI-CAMUCS
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11.4 Comparison between CIE CRI Ra 13.3 and RCRI
11.5 Comparison between CIE CRI Ra 13.3 and MCRI
Comparison CIE Ra 13.3 / RCRI
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
RCRI
Comparison CIE Ra 13.3 / MCRI
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
MCRI
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11.6 Comparison between CIE CRI Ra 13.3 and CFI
11.7 Comparison between CIE CRI Ra 13.3 and CCRI
Comparison CIE Ra 13.3 / CFI
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
CFI
Comparison CIE Ra 13.3 / CCRI
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
CCRI
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11.8 Comparison between CIE CRI Ra 13.3 and CRI00
11.9 Comparison between CIE CRI Ra 13.3 and HDI/Hhr (CH for 2D)
Comparison CIE Ra 13.3 / HDI (modified) 2D |ref-test|
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
HDI - 2D |r-k|
Comparison CIE Ra 13.3 / CRI R00a
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
CRI R00a
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11.10 Comparison between CIE CRI Ra 13.3 and GAI
11.11 Comparison between CIE CRI Ra 13.3 and GAI
Comparison CIE Ra 13.3 / GAI
0
20
40
60
80
100
120
140
160
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
GAI
Comparison CIE Ra 13.3 / GAS
0
20
40
60
80
100
120
140
160
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
GAS
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11.12 Comparison between CIE CRI Ra 13.3 and FCI
11.13 Comparison between CIE CRI Ra 13.3 and CFI modified – CAM02-UCS
Comparison CIE Ra 13.3 / FCI
0
50
100
150
200
250
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
FCI
Comparison CIE Ra 13.3 / CFI - CAM02-UCS
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
CFI
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11.14 Comparison between CIE CRI R96a, CRI R00a and CRI CAM02-UCS
11.15 Comparison between proposal of indices/metrics and combined indices/metrics
Comparison CIE R96a / R00a / CRI CAM02-UCS
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE R96a
CRI R00a
CRI-CAMUCS
Comparison of metric proposals
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
GAI+CRI
CQS + GAS
CRI-
CAMUCS
RCRI
MCRI
2/3
HDI+1/3CRI
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12 PEARSON CORRELATION BETWEEN COMPUTED METRICS
Table 12 : Correlation between metrics for all SPDs
Table 13 : Correlation between metrics for fluorescent SPDs
Metric/Metric CIE CIE CQS CRI RCRI MCRI CFI CCRI HDI CFI GAI GAS FCI 2*HDI
All SPD (134) Ra Ra96 Qg CAM xy CAM +Ra +Qg +Ra +Ra
CIE Ra 13.3 0,976 0,953 0,983 0,909 0,748 0,836 0,948 0,751 0,832 0,795 0,780 0,723 0,961
CIE R96a 0,966 0,983 0,916 0,769 0,849 0,942 0,734 0,852 0,769 0,787 0,719 0,939
CQS Qa 0,978 0,922 0,839 0,853 0,917 0,584 0,860 0,839 0,899 0,825 0,861
CRI-CAMUCS 0,944 0,815 0,844 0,945 0,667 0,857 0,803 0,828 0,769 0,915
RCRI 0,825 0,804 0,885 0,572 0,817 0,728 0,783 0,728 0,827
MCRI 0,565 0,709 0,244 0,567 0,752 0,899 0,884 0,587
CFI - xy 0,811 0,615 0,981 0,614 0,660 0,597 0,798
CCRI 0,721 0,835 0,838 0,725 0,599 0,915
HDI - 2D |r-k| 0,593 0,424 0,276 0,209 0,904
CFI-CAM-UCS 0,641 0,655 0,572 0,787
GAI+CRI Ra 0,845 0,694 0,692
GAS + CQS Qg 0,954 0,620
FCI+CRI Ra 0,556
2*HDI+CRI Ra
Average 0,861 0,861 0,869 0,871 0,820 0,708 0,756 0,830 0,561 0,758 0,726 0,686 0,679 0,797
Metric/Metric CIE CIE CQS CRI RCRI MCRI CFI CCRI HDI CFI GAI GAS FCI 2*HDI
FLuorescent Ra Ra96 Qg CAM xy CAM +Ra +Qg +Ra +Ra
CIE Ra 13.3 0,99 0,99 0,99 0,95 0,97 0,91 0,96 0,82 0,91 0,90 0,99 0,93 0,98
CIE Ra96 1,00 0,99 0,96 0,95 0,92 0,97 0,79 0,94 0,90 0,98 0,90 0,96
CQS Qa 0,99 0,96 0,94 0,92 0,98 0,78 0,95 0,91 0,98 0,89 0,96
CRI-CAMUCS 0,96 0,95 0,90 0,98 0,77 0,94 0,91 0,97 0,88 0,96
RCRI 0,90 0,91 0,94 0,77 0,94 0,85 0,94 0,87 0,93
MCRI 0,81 0,93 0,81 0,82 0,87 0,96 0,93 0,96
CFI - xy 0,87 0,79 0,96 0,77 0,91 0,86 0,90
CCRI 0,74 0,92 0,94 0,95 0,83 0,93
HDI - 2D |r-k| 0,73 0,69 0,88 0,93 0,92
CFI-CAM-UCS 0,83 0,90 0,80 0,89
GAI+CRI Ra 0,89 0,74 0,87
GAS + CQS Qg 0,96 0,99
FCI+CRI Ra 0,97
2*HDI+CRI Ra
Average 0,95 0,94 0,94 0,94 0,91 0,91 0,88 0,92 0,80 0,89 0,85 0,87 0,88 0,94
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Table 14 : Correlation between metrics for LED Cluster SPDs
Metric/Metric CIE CIE CQS CRI RCRI MCRI CFI CCRI HDI CFI GAI GAS FCI 2*HDI
LED clusters Ra Ra96 Qg CAM xy CAM +Ra +Qg +Ra +Ra
CIE Ra 13.3 0,98 0,88 0,99 0,85 0,31 0,85 0,94 0,95 0,83 0,44 0,06 0,07 0,99
CIE Ra96 0,91 0,97 0,84 0,30 0,83 0,93 0,93 0,82 0,39 0,09 0,08 0,96
CQS Qa 0,92 0,80 0,58 0,79 0,80 0,72 0,78 0,61 0,48 0,40 0,81
CRI-CAMUCS 0,89 0,40 0,84 0,93 0,91 0,84 0,49 0,17 0,15 0,96
RCRI 0,51 0,73 0,85 0,77 0,73 0,50 0,22 0,12 0,82
MCRI 0,19 0,18 0,04 0,22 0,79 0,81 0,70 0,17
CFI - xy 0,90 0,80 0,99 0,50 0,10 -0,01 0,83
CCRI 0,95 0,89 0,42 -0,06 -0,16 0,96
HDI - 2D |r-k| 0,77 0,22 -0,21 -0,19 0,99
CFI-CAM-UCS 0,54 0,13 -0,02 0,81
GAI+CRI Ra 0,64 0,41 0,33
GAS + CQS Qg 0,87 -0,08
FCI+CRI Ra -0,06
2*HDI+CRI Ra
Average 0,70 0,70 0,73 0,73 0,66 0,40 0,64 0,66 0,59 0,64 0,48 0,22 0,18 0,65
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13 PARAMETER/METHOD CHANGE EFFECT ON REFERENCE BASED METRICS
13.1 Effect on TCS on CIE CRI Ra 13.3
Comparison CIE Ra 13.3 / Ra & Macbeth 99
-20
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
CIE Ra &
Macbeth 99
Comparison CIE Ra 13.3 / Ra Munsell Matte 1269
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CIE Ra 13.3
Ra & Munsell
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13.2 Effect of reference method determination on CRI Ra 13.3
Effect of reference illuminant determination
on CIE R96a using CIE coefficients
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
Ill (a,b)
CCT u,v
Effect of reference illuminant determination
on CIE R96a using the same coefficients
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
Ill (a,b)
CCT (u,v)
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13.3 Effect of CAT method on CRV of CQS with adaptation factor D=1
a
b
Colour rendition vectors
CQS - CFL 2700K
-60 -40 -20 0 20 40 60
-60
-40
-20
0
20
40
60
80
100
CMCCAT2000 Qa 75.7
CIECAT94 Qa 75.0
CMCCAT97 Qa 75.5
CAT02 Qa 75.6
13.4 Effect of index formulae change on CCRI
Comparison of updated CCRI metric
ratio (Si St)/St versus (Si St)/Si
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
CCRI %
ref
CCRI
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14 DETAILED IMPLEMENTATION OF COMPUTED METRICS
14.1 Use of Munsell Atlas 1269 matte colour chips for CCRI categories
a
b
Categories /Yaguchi criterion
for CCRI computation
- 90 - 60 - 30 0 30 60 90
- 100
- 70
- 40
- 10
20
50
80 category n° 0
category n° 1
category n° 2
category n° 3
category n° 4
category n° 5
category n° 6
category n° 7
category n° 8
category n° 9
category n° 10
category n° 11
category n° 12
category n° 13
category n° 14
category n° 15
category n° 16
category n° 17
category n° 18
category n° 19
category n° 20
14.2 Comparison of original and updated method for statistical index
Comparison of updated statistical methods
Colour Fidelity Index
0
20
40
60
80
100
120
0 10 20 30 40 50 60 70 80 90 100 110 120
SPD N°
Value
In (x,y) with
MA ellispes
In Cam02-
UCS space
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14.3 Best fit of HDI/Rhr computation using dichromatic pairs of colours
15 DETAILED RESULTS OF COMPUTED METRICS
15.1 Colour rendition vectors (CRV) maps
UCS axe1
UCS axe2
CRV RGB 5000K
Index:CQS Qa=77.1
-100 -80 -60 -40 -20 0 20 40 60 80 100
-60
-40
-20
0
20
40
60
80
100
CRV
y = 1,0811x - 4,5895
R2 = 0,9316
50
70
90
110
130
150
50 60 70 80 90 100 110 120 130 140 150
Rhr computed from 2D pairs
Au
tho
rs R
hr
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UCS axe1
UCS axe2
CRV RGBY 2700K
CQS Qa=85.3
-100 -80 -60 -40 -20 0 20 40 60 80 100
-60
-40
-20
0
20
40
60
80
100
CRV
15.2 Special indices charts
Comparison of special indices - Macbeth chart
LED CW 5000K
-40
-20
0
20
40
60
80
100
120
0 20 40 60 80 100
TCS N°
ind
ex v
alu
e
CRI Ra 13,3
CRI CAM02-UCS
CRI R96a
16 SELECTION OF LIGHT SOURCES FOR THE SUBJECTIVE EXPERIMENT
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16.1 Lamps specifications
Lamps selection for the subjective experiment
0
0,2
0,4
0,6
0,8
1
1,2
380 430 480 530 580 630 680 730 780
Wavelenght (nm)
Spectral density
FL 5000K
LED NUV 5000K
LED CW 2700K
LED RGB 5000K
LED WR 2700K
CFL 2700K
LED RGBY 2700K
HAL 2700K
LED WW 2700K
16.2 Preliminary results for colour rendition metrics
Prediction for subjective test
0
20
40
60
80
100
120
FL
5000K
LED
NUV
5000K
LED CW
5000K
LED
RGB
5000K
LED WR
2700K
CFL
2700K
RGBY
2700K
HAL
2700K
LED WW
2700
CIE Ra
CQS
MCRI
CRICAM-UCS
RCRI
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17 PRELIMINARY STATEMENTS AND CONCLUSION
17.1 Metrics selection and implementation
The selection of metrics took into account the CIE TC1-69 recommendations for relevant metrics to
complement and supplement the current index for colour rendition, some metric/indices had been added like
update of the current CRI (R00a) and statistical methods (CFI/CSI/HDI).
The selected metrics have been implemented in a C++ program for extensive application using a large
number of SPD and TCS and for further modifications. Most of them had been checked against the published
results either with reference SDPs, or either compared to existing implementation under excel ®
spreadsheets. Despite of very detailed equations and formulae, on papers and Phd dissertation online, the
computation of Harmony Rendering Index HRI was found different from the authors. The authors have been
contacted but we do not yet receive any answer. With few modifications a HRI yielding to similar results in
magnitude and correlating at a level of 93% over about 80 SPD has been used for this study and we expect,
with the help of the authors to correct the situation before the end of the study or we should give up with this
metric.
Comparative results
The following statements are preliminary statements, which are suggested from the computation of 13
metrics/indices, with and without parameters or component changes, applied over the selected 122 SPDs. A
part of the computation performed is presented, and more computation on metrics is planned for the study of
colour rendition.
Global comparison of metrics
The comparison of results of metric proposals against the sorted SPD can be visualized on the figure of the
paragraph 12.15, which exhibits large differences in magnitude. These proposals are for some of them
combined metrics of fidelity indices with indices measuring other quality dimension. The preferred indices to
supplement the fidelity index are based on a gamut area. These gamut indices introduce a great change for
the LED clusters (table 15 of section 13) due to their high saturation properties and then present a radical
change in measuring the quality colour rendition. The correlation tables (tables 14,15,16 of section 13)
clearly shows that the introduction of LED, particularly LED clusters, gives large difference between
indices/metrics, between current and proposals, and between proposals that were indented to improve the
quality metric for colour rendition of LED based lighting. Taking into account the overall low correlation
between indices/metrics, the difference in approach we can conclude that we are far to find a consensus on
proposals for complementing, supplementing or replacing the actual colour rendering metric.
The updated methods and components of the current CRI of metric proposals as CIE CRI96, CRI-CAMUCS,
CRI00, show some differences and improvements (eliminating negative special indices- see 16.2) that could
result in better ranking of LED light sources but still stay very similar to the actual CRI. For FL sources
correlation is 99% and for LED clusters correlation is superior to 97%. Due to the high correlation with
current CRI and because they are fidelity index these updated metrics probably should not fix nor address
some issues with visual LED sources ranking involving other quality dimensions of colour appearance, from
the customer acceptance side, as for instance the level of colourfulness, the colour discrimination, the level
colour contrast, and other quality attribute of colour appearance like harmony, naturalness.
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The CQS Qa updates and improves the current CRI method on many points, and also discounts the positive
chroma shift, due to a higher chroma than the reference source, in the colour shift computation. The metric
reflects that the increase of chroma/saturation has a positive effect on observer preference, and then is no
longer a pure fidelity metric. The metric, while not changing too much the classical lighting scores, increases
the scores of LED PC and LED clusters, and more considerably the very low scores of those technologies.
The MCRI yields to the lowest correlation with other indices/metrics and exhibits highest quality index
values for LED clusters and a similar lowering of index values for all other lighting types (FL, QTH, NUV)
having a high CRI Ra. We wonder if this systematic behaviour should be verified for all cases.
The statistical method of Zukauskas et al. (see 6.2) is a 4D metrics (CCT, CFI, CSI ,HDI) but a single index
is not derived, the method is interesting to describe the basic aspects of the colour rendition. The
computation of CFI (fidelity) in the 1931 xy space with the MacAdam’s ellipses gives similar results than the
CFI computed with CAM02-UCS space and using the CRI-CAMUCS colour shift formula (see graphs 11.6
and 11.13). The computation of CSI and HDI with CMA02-UCS give different results because the original
method exploits vectors in the space 1931 xy is not uniform (results not presented). Further work will be
done to derive a quality metric from theses 4 parameter/indices using the CAM02-UCS model.
It appears that the increase of saturation generated by most of LED lighting sources having broad radiation
peaks in the visible spectrum becomes a key issues in the development of a new metric. Most a the new
metrics proposals claims to account for customer’s preference but leading to low fidelity indices. But most of
these new metrics presents low correlation between them for LED lightings and some very different metrics
present a significant correlation like the MCRI and “CQS Qa+ GAS” (Pearson coefficient=0,81).
Parameter/method change effects on metrics
It can be seen from the paragraph 14.1 that the choice and number of TCS can significantly change the
colour fidelity index to a higher or lower value, some different ranking could be obtained for fidelity metrics
(graph not presented). More investigation must be done to estimate the change in ranking the light sources
accounting for TCS characteristics and to set up a more robust set of TCS considering also the mesmerism
and the colour constancy of these TCS as developed in 9.2.
The way to determine the reference source, from CCT or distance to fixed illuminants appears not to change
the results of colour quality metric.
The different implemented CATs yield to very close results. Chromatic adaptation is a key stage, which is
directly linked to the colour shifts magnitude between the adapted source and the reference source. Most of
the metrics use an adaptation factor D equal to 1. It has been found that the adaptation factor can have a little
effect on indices values, so more research (literature) will be done on that point
17.2 Selection of light sources for the subjective experiment
The selected light sources cover all technologies: FL, CFL, PC LED, NUV PC LED, and LED clusters (tri-
chromatic and quadri-chromatic).
The measured SPDs of the selected lamps for the subjective experiment provide us with sufficient variation
in indices values (see paragraph 17.2) and difference in ranking to expect a valuable subjective experiment.
The nine adopted lighting sources can also be grouped into two clusters of CCT, 2700K and 5000K, and then
be ranked separately if the CCT of light source account for observer’s judgment.
ENG05 Lighting
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17.3 Conclusion
A large review of colour rendering metric has been conducted and the metrics have been sorted and detailed
for a further analysis and a computer implementation. The relevant metrics, including those judged worthy of
consideration by the CIE, have been successfully implemented, except the HRI, in a modular C++, which
enable us to change the parameters, methods and data. These implemented metrics had been applied to a set
of 122 selected TCS to visualize the differences between metric results as well as some parameter/method
change effects. Correlations between metrics have been computed for the 122 SPDs or subsets of SPDs : the
lowest correlation between metrics, current and proposals, have been found for the LED clusters. The
selected results are presented with charts and tables. With the detailed review, showing the difference in
approaches and the difference of results illustrated by comparison charts and correlation tables, we can
notice that we are apparently far to find a consensus for a colour rendering metric to better rank the new light
sources, especially LED light sources. This preliminary study helps us in designing the future subjective
experiment, in selecting test light sources. The completed program will enable us to quickly analyse,
validate, alter and tune the metrics to obtain better correlation with the subjective scoring that we will get
with our future subjective experiment.