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Let‘s talk about Colorimety
Textile Effects
Let‘s talk about Colorimetric Basics
Textile Effects
Electro-Magnetic Waves
visible light
Textile Effects
Different technics of color mixtures
Subtractive
color mixture
e.g. used for
textile dyeing or
printing
Additive color
mixture
e.g. used for TV
or computer
screens or
paper graphics
Textile Effects
Relation between reflectance and absorbance
textile sample
light source human eye
The light is either reflected or absorbed by the sample
Textile Effects
Reflectance
The reflectance factor is the ratio of the reflected light Ir to
the illuminating light I0
%R 100
Reflectance
in %
I
Ir
0
Reflectance
factor beta
Textile Effects
Absorbance
Both, reflectance and absorbance, are relative factors and
independant from the energy distribution of the illuminant
Absorbance
in %
1001A %
Absorbance
factor
1A
The absorbance factor is the difference between the total,
illumuninating light and the reflected light
Textile Effects
Reflectance Curves/1
Reflectance curce of a yellow shade
0
0.2
0.4
0.6
0.8
1
400 500 600 700
Wavelength [nm]
Re
fle
cta
nc
e fa
cto
r b
eta
absorbed light
reflected light
Reflectance curve of a red shade
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
400 500 600 700
Wavelength [nm]
Re
fle
cta
nc
e fa
cto
r b
eta
absorbed light
reflected
light
Textile Effects
Reflectance Curves/2
Reflectance Curve of a Green Color
0
0.1
0.2
0.3
0.4
0.5
0.6
400 500 600 700
Wavelength [nm]
Re
fle
cta
nc
e f
ac
tor
be
ta
absorbed light
reflected light
Reflectance curve of a blue shade
0
0.1
0.2
0.3
0.4
0.5
0.6
400 500 600 700
Wavelength [nm]
Re
fle
cta
nc
e fa
cto
r b
eta
reflected light
absorbed light
Textile Effects
Commission International de l‘Éclairage (CIE)
The CIE has defined several standard illuminants:
D65 = Average daylight (6500 K)
A = Tungsten (incandescent) light (2854 K)
But also fluorescent lamps like:
F2 = Cool White Fluorescent CWF (4200 K)
F11 = Fluorescent light Philips TL84 (4000K)
The illuminants are defined by its color temperature
and the relative spectral energy distribution.
Textile Effects
CIE Standard Illuminant D65 Daylight (6500 K)
0
50
100
150
350 400 450 500 550 600 650 700 750
Wavelength in nm
Re
la
tive
sp
ec
tra
l e
ne
rg
y d
istrib
utio
n
Textile Effects
CIE Standard Illuminant A Incandescent light (2854 K)
0
50
100
150
200
250
350 400 450 500 550 600 650 700 750
Wavelength in nm
Relative spectral energy distribution
Textile Effects
CIE Illuminant F2 Cool White Fluorescent (4200 K)
0
10
20
30
40
50
350 400 450 500 550 600 650 700 750
Wavelength in nm
Relative spectral energy distribution
Textile Effects
CIE Illuminant F11 Fluorescent light Philips TL84 (4000 K)
0
20
40
60
80
100
350 400 450 500 550 600 650 700 750
Wavelength in nm
Re
lative
sp
ectra
l en
ergy d
istrib
utio
n
Textile Effects
Human Eye
Cross section of the human
eye
Cross section of the retina
Textile Effects
Human Eye/2
In the retina there are two different types of optical sensors:
Rods for light/dark sensation
Cones for color sensation
Cones are sensitive to red or green or blue. CIE has defined
the sensitivity of the cones as standard observers for:
10° (large field)
2° (small field)
Textile Effects
CIE Standard Observer 10°
0.0
0.5
1.0
1.5
2.0
2.5
350 450 550 650 750
Wavelength in nm
Tristim
ulu
s va
lu
es illu
min
ant E
_
x_
y
_
z
Textile Effects
The color vision process
textile sample
CIE Standard Illuminant D65
(Daylight)
0
50
100
150
350 400 450 500 550 600 650 700 750
Wavelength in nm
Re
lative sp
ec
tral e
ne
rgy d
istribu
tion
light source
Reflectance curce of a yellow
shade
0
0.2
0.4
0.6
0.8
1
400 500 600 700
Wavelength [nm]
Re
fle
cta
nc
e fa
cto
r b
eta
absorbed light
reflected light
Reflectance curve
eye sensors
CIE Standard Observer Red
0.0
0.5
1.0
1.5
380 430 480 530 580 630 680 730
Wavelength in nm
Tristim
ulu
s va
lu
es
_
x
CIE Standard Observer Green
0.0
0.5
1.0
1.5
380 430 480 530 580 630 680 730
Wavelength in nm
Tristim
ulu
s va
lu
es
_
y
CIE Standard Observer Blue
0.0
0.5
1.0
1.5
2.0
2.5
380 430 480 530 580 630 680 730
Wavelength in nm
Tristim
ulu
s va
lu
es
_
z
Textile Effects
The color vision process/2
3 color signals from a Yellow color
Red Signal of a Yellow Color
0
20
40
60
80
100
400 500 600 700
Wavelength in nm
Tristim
ulu
s va
lu
es D
65
/1
0
X
Green Signal of a Yellow Color
0
20
40
60
80
100
400 500 600 700
Wavelength in nm
Tristim
ulu
s va
lu
es D
65
/1
0
Y
Blue Signal of a Yellow Color
0
20
40
60
80
100
400 500 600 700
Wavelength in nm
Tristim
ulu
s va
lu
es D
65
/1
0
Z
Textile Effects
CIE Color Coordinates
Calculation of CIE
Tristimulus Values
X k S x _
400
700
Y k S y _
400
700
Z k S z _
400
700
Calculation of CIE
chromaticity coordiantes
xX
X Y Z
yY
X Y Z
zZ
X Y Z
S = illuminant e.g D65
x,y,z = CIE standard observer
= reflectance factor
k = normalization factor
The sum of x+y+z
is always 1.
Textile Effects
CIE 1931 chromaticity diagram
Textile Effects
Let‘s talk about Color difference and tolerances
Textile Effects
MacAdam Ellipses
The MacAdam ellipses
define the visible color
difference perceptibilty
within the CIE diagram.
They show, that the CIE
x,y,Y color space is not
equidistant to our
visual perception.
Textile Effects
Uniform Color Spaces
To improve the non-uniformity of the CIE 1964 color space,
several transformation from x,y,Y color space to systems with
better uniformity have been developed, e.g. :
Hunter : L, a, b
Adams-Nickerson : ANLAB
CIE 1976 : L*, a*, b*
Textile Effects
CIE 1976 Color Space
Lightness L*
Red-Green axis a*
Yellow-Blue axis b*
Chroma C*ab
Hue hab
L Y* * 116 16
a X Y* ( * *) 500
b Y Z* ( * *) 200
)*
*arctan(
a
bhab
2/122 )**(* baCab
Textile Effects
Calculation of CIELab difference
Lightness
difference:
dL* = L*sample - L*standard
+ = lighter - = darker
Red - Green difference :
Yellow-Blue difference:
Total colour difference::
approximate perceptibility = 0.2 - 0.5
da* = a*sample - a*standard
+ = redder - = greener
db* = b*sample - b*standard
+ = yellower - = bluer
2/1222 )*)(*)(*)((* dbdadLdEab
Textile Effects
Calculation of CIELCH difference
Lightness difference :
dL* = L*sample - L*standard
+ = lighter - = darker
Chroma difference :
Hue difference :
dCab
* = Cab
*sample - Cab
*standard
+ = brighter - = duller
Red + = yellower - = bluer
Yellow + = greener - = redder
Green + = bluer - = yellower
Blue + = redder - = greener
The interpretation is
depending on the hue,
e.g. :
2/122 )*)(*)(*((* dCdLdEdH ab
Textile Effects
Production Control - Color tolerances
The CIE-Lab color space is, like the CIE-x,y,Y color
space, visually not equidistant. The uniformity has
been improved, but is not yet perfect. Therefore
tolerances have to be defined for each color.
Also the different visual sensitivity of lightness-
chroma- or hue-differences has to be considered.
To define tolerance limits, sufficient and reliable
visual jugements are necessary.
Around each standard color up to 50 trials should be
distributed evenly and a minimum of 20 to 30 colorists
should assess the differences - this means a total of
1000 visual assessments for each colour.
Textile Effects
Production Control - Pass/fail formulas
To avoid the huge effort of defining tolerances for each color, the CIELab
color space has been modified by weighting the lightness- chroma- and hue
difference in the formula, using large data sets from the industry.
Some of this modified formulas are:
JPC79 (J.P.Coats)
CMC (l:c) (Colour Measurement Committee, UK)
BFD (l:c) (Bradford university, UK) (l:c is the ratio of lightness and chroma, recommended is 2:1)
M&S89 (Marks & Spencer)
Datacolor
ISO recommends the CMC (l:c) formula for small color differences (ISO/DP
105-J01).The CMC (l:c) formula has some disadvantages in the blue range
of the color space. This has been improved with the BDF(l:c) formula, but
there is not enough experience to tell if BDF is generally better than CMC.
Textile Effects
CIE-Lab Tolerancing
CIE-Lab defines a cubic
color space, which does
not always correlate with
our visual perception
Textile Effects
CIE-LCH Tolerancing
CIE-LCH coordinates define
a cylindrical color space.
The correlation with our
visual perception is much
better.
Textile Effects
CMC Tolerancing
CMC uses tolerance
ellipsoids, which have
different shapes within
the color space.
They have been adapted
to visual color perception
Textile Effects
Let‘s talk about Metamerism and Color Constancy
Textile Effects
Metamerism
Same colors under
daylight illumination
Different colors under
shop illumination
Textile Effects
Metameric colors under D65
Brown 1 Brown 2
Textile Effects
Metameric colors under TL84
Brown 1 Brown 2
Textile Effects
Metamerism
If a pair of samples looks identical under a particular illuminant, but
different under another light source, the samples are described as
metameric.
They have different reflectance curves and produce different sets of
color co-ordinates under different light sources.
In colorimetry, metamerism is defined using a metamerism index.
Textile Effects
Reflectance Curves of metameric Colors
0
0.2
0.4
0.6
0.8
400 450 500 550 600 650 700
Wavelength [nm]
Re
fle
cta
nc
e f
ac
tor
be
ta
Brown No. 1
Brown No. 2
Textile Effects
Metamerism Index
lluminant Co-ordinates Brown 1 Brown 2
D65/10 L* 35.1I 34.4
a* 5.8 4.3
b* 10.0 8.8
CIELab difference dE Standard 2.0
A/10 L* 51.9 52.0
a* 7.8 15.8
b* 7.0 5.5
Metamerism Index dE Standard 6.5
TL84/10 L* 51.6 50.2
a* 9.0 15.0
b* 4.0 2.9
Metamerism Index dE Standard 10.1
Textile Effects
Color Constancy
Same colors
under daylight
illumination
Same colors under
incandescent
lamp, but different
from daylight
Textile Effects
Color Inconstancy of a green color
Green color under
illuminant D65
Beige color under
illuminant A
Textile Effects
Color Constancy
If one sample changes color appearance when it is illuminated using a different light source, we talk about good or inadequate color constancy of the sample.
The different spectral energy distribution of the light source in combination with the reflectance curve of the sample results in a change in color appearance.
In colorimetry, color constancy is defîned by a color inconstancy index.
Textile Effects
Color Constancy/2
Reflectance curve of a green shade
0
0.2
0.4
0.6
0.8
1
400 500 600 700
Wavelength [nm]
Re
fle
cta
nc
e fa
cto
r b
eta
Textile Effects
CIE Standard Illuminant D65 Daylight (6500 K)
0
50
100
150
350 400 450 500 550 600 650 700 750
Wavelength in nm
Re
la
tive
sp
ec
tra
l e
ne
rg
y d
istrib
utio
n
Textile Effects
CIE Standard Illuminant A Incandescent light (2854 K)
0
50
100
150
200
250
350 400 450 500 550 600 650 700 750
Wavelength in nm
Relative spectral energy distribution
Textile Effects
Color Constancy Index
Reflectance data
Color Co-ordinates
reference illuminant
Lr, a
r, b
r
Color Co-ordinates
test illuminant
Lt, a
t, b
t
Chromatic
adaptation
Color Co-ordinates
chromatic adapted
Lc, a
c, b
c
Inconstancy
Index dE
Color
difference
Textile Effects
Color Constancy Index/2
Color
Coordinates
D65/10
reference
illuminant
Color
Coordinates
A/10
test illuminant
Color
Coordinates
Chromatic
adapted
L*r 56.6 L*t 56.8 L*c 56.6
a*r -4.6 a*t 3.5 a*c 2.3
b*r 9.3 b*t 7.4 b*c 6.7
Difference
dL* 0.0
da* 6.9
db* -2.6
Inconstancy Index
dE 7.3
Textile Effects
Main source of metamerism problems
Designers chose shades from substrates different from intended textile, colored
with very different trichromies
Examples :
From a PANTONE color selector, in which case the color has been obtained by printing on
paper, with a trichromy of:
=> greenish yellow („Yellow“)
=> pinkish red („Magenta“)
=> turquoise („ Cyan“)
This is much different from a typical textile trichromy , usually based upon:
=> golden yellow
=> bluish red
=> reddish or neutral blue or navy
Other supports of designer inspiration: plastic, wood, foliage, photos ...
(between standard sample and actual dyehouse dyeing)
Textile Effects
Designers chose shades from substrates different from intended textile, colored
with very different trichromies
This „original“may have good- or poor color constancy.
Along the communication line, the shade samples are matched as non-
metameric compared to this original sample .
The prefered, often most robust-, fast- and economical trichromies used in
dyehouses do not always allow a non-metameric shade compared to such
standards
Main source of metamerism problems
(between standard sample and actual dyehouse dyeing)
Textile Effects
Metamery caused by the initial choice by designers of a colored original which
coloration is not based on a textile dyers logic
is causing problems all along the textile logistical chain
=> technically- or economically sub-optimal dyeing recipes
=> waste of time and high cost
Main source of metamerism problems
(between standard sample and actual dyehouse dyeing)
Textile Effects
Let‘s talk about Spectrophotometer settings and sample preparation
Textile Effects
Spectrophotometer settings and sample preparation
To guarantee exact color measurements, the settings of the
spectrophotometer and the preparation of the samples have to
be defined clearly.
The following parameters can have a large influence on the
measurement:
• Specular component included or excluded
• UV component included, calibrated or excluded
• Aperture size
• Number of sample layers
• Number of readings per sample
• Conditioning of the sample
Textile Effects
Influence of specular component
0
0.1
0.2
0.3
0.4
0.5
0.6
400 450 500 550 600 650 700
Wavelength [nm]
Re
fle
cta
nc
e f
ac
tor
be
ta
Blue 24 specular included
Blue 24 specular excluded
Substrate: Acetate Woven Satin
0
0.1
0.2
0.3
0.4
0.5
0.6
400 450 500 550 600 650 700
Wavelength [nm]
Re
fle
cta
nc
e f
ac
tor
be
ta
Blue 24.2 specular excluded
Blue 24.2 specular included
Substrate: Acetate Woven Satin
Textile Effects
Influence of specular component/2
Standard: Blue 24 specular excluded ---- Illuminant/Observer ----
Sample: Blue 24 specular included D65/10 CWF/10 A/10
CMC(2:1) dE CMC 0.62 0.63 0.64
Standard: Blue 24.2 specular excluded ---- Illuminant/Observer ----
Sample: Blue 24.2 specular included D65/10 CWF/10 A/10
CMC(2:1) dE CMC 0.63 0.64 0.64
Textile Effects
Influence of specular component/3
Standard: Blue 24 specular excluded ---- Illuminant/Observer ----
Sample: Blue 24.2 specular excluded D65/10 CWF/10 A/10
CMC(2:1) dE CMC 1.79 1.87 1.84
Standard: Blue 24 specular included ---- Illuminant/Observer ----
Sample: Blue 24.2 specular included D65/10 CWF/10 A/10
CMC(2:1) dE CMC 1.79 1.87 1.84
Textile Effects
Influence of specular component/4
Standard: Blue 24 specular excluded ---- Illuminant/Observer ----
Sample: Blue 24.2 specular included D65/10 CWF/10 A/10
CMC(2:1) dE CMC 2.43 2.53 2.51
Textile Effects
Influence of UV component
0
0.25
0.5
0.75
1
1.25
1.5
380 430 480 530 580 630 680
Wavelength [nm]
Re
fle
cta
nc
e/E
mis
sio
n f
ac
tor
Blue 2BR with full UV
Blue 2BR with UV calibrator
Blue 2BR with cutoff FL 400
Substrate: PES Jersey with FWA
0
0.2
0.4
0.6
0.8
1
1.2
380 430 480 530 580 630 680
Wavelength [nm]
Re
fle
cta
nc
e/E
mis
sio
n f
ac
tor
Red 4BS with full UV
Red 4BS with UV calibrator
Red 4BS with cutoff FL 400
Substrate: PES Jersey with FWA
Textile Effects
Influence of UV component/2
Standard: Blue 2BR with full UV ---- Illuminant/Observer ----
Sample: Blue 2BR with UV calibrator D65/10 CWF/10 A/10
CMC( 2:1) dE CMC 2.67 2.56 2.13
Standard: Blue 2BR with full UV ---- Illuminant/Observer ----
Sample: Blue 2BR with cutoff FL 400 D65/10 CWF/10 A/10
CMC(2:1) dE CMC 11.50 10.56 8.46
Textile Effects
Influence of UV component/3
Standard: Red 4BS with full UV ---- Illuminant/Observer ----
Sample: Red 4BS with UV calibrator D65/10 CWF/10 A/10
CMC(2:1) dE CMC 1.93 2.33 2.17
Standard: Red 4BS with full UV ---- Illuminant/Observer ----
Sample: Red 4BS with cutoff FL 400 D65/10 CWF/10 A/10
CMC(2:1) dE CMC 7.96 9.82 8.56
Textile Effects
Influence of sample layers
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
400 450 500 550 600 650 700
Wavelength [nm]
Re
fle
cta
nc
e f
ac
tor
be
ta
Yellow 1 layer / white
Yellow 1 layer / black
Yellow 2 layers / white
Yellow 2 layers / black
Yellow 4 layers / white
Yellow 4 layers / black
Yellow 8 layers / white
Yellow 8 layers / black
Substrate: CO knitwear
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
400 450 500 550 600 650 700
Wavelength [nm]
Re
fle
cta
nc
e f
ac
tor
be
ta
Blue 1 layer / white
Blue 1 layer / black
Blue 2 layers / white
Blue 2 layers / black
Blue 4 layers / white
Blue 4 layers / black
Substrate: PES Micro woven
Textile Effects
Influence of sample layers/2
Standard: Yellow CO knit 1 layer/white ---- Illuminant/Observer ----
Sample: Yellow CO knit 1 layer/black D65/10 CWF/10 A/10
CMC(2:1) dE CMC 4.91 4.91 5.17
Standard: Yellow CO knit 2 layers/white ---- Illuminant/Observer ----
Sample: Yellow CO knit 2 layers/black D65/10 CWF/10 A/10
CMC(2:1) dE CMC 1.47 1.29 1.52
Textile Effects
Influence of sample layers/3
Standard: Yellow CO knit 4 layers/white ---- Illuminant/Observer ----
Sample: Yellow CO knit 4 layers/black D65/10 CWF/10 A/10
CMC(2:1) dE CMC 0.12 0.09 0.13
Standard: Yellow CO knit 8 layers/white ---- Illuminant/Observer ----
Sample: Yellow CO knit 8 layers/black D65/10 CWF/10 A/10
CMC(2:1) dE CMC 0.10 0.10 0.10
Textile Effects
Influence of sample layers/4
Standard: Blue PES micro 1 layer/white ---- Illuminant/Observer ----
Sample: Blue PES micro 1 layer/black D65/10 CWF/10 A/10
CMC(2:1) dE CMC 1.10 1.11 0.97
Standard: Blue PES micro 2 layers/white ---- Illuminant/Observer ----
Sample: Blue PES micro 2 layers/black D65/10 CWF/10 A/10
CMC(2:1) dE CMC 0.06 0.05 0.06
Standard: Blue PES micro 4 layers/white ---- Illuminant/Observer ----
Sample: Blue PES micro 4 layers/black D65/10 CWF/10 A/10
CMC(2:1) dE CMC 0.04 0.04 0.03
Textile Effects
Influence of readings
Standard: Peach 1 reading/1 ---- Illuminant/Observer ----
Sample: Peach 1 reading/2 D65/10 CWF/10 A/10
CMC(2:1) dE CMC 0.07 0.07 0.07
Standard: Peach 2 readings/1 ---- Illuminant/Observer ----
Sample: Peach 2 readings/2 D65/10 CWF/10 A/10
CMC(2:1) dE CMC 0.04 0.04 0.04
Standard: Peach 3 readings/1 ---- Illuminant/Observer ----
Sample: Peach 3 readings/2 D65/10 CWF/10 A/10
CMC( 2:1) dE CMC 0.03 0.03 0.04
Textile Effects
Influence of readings/2
Standard: Red 1 reading/1 ---- Illuminant/Observer ----
Sample: Red 1 reading/2 D65/10 CWF/10 A/10
CMC(2:1) dE CMC 0.05 0.05 0.05
Standard: Red 2 readings/1 ---- Illuminant/Observer ----
Sample: Red 2 readings/2 D65/10 CWF/10 A/10
CMC(2:1) dE CMC 0.04 0.04 0.04
Standard: Red 3 readings/1 ---- Illuminant/Observer ----
Sample: Red 3 readings/2 D65/10 CWF/10 A/10
CMC(2:1) dE CMC 0.01 0.01 0.01
Textile Effects
Influence of light exposure (Photochromie)
Standard: Beige 1 ---- Illuminant/Observer ----
Sample: Beige 1 after 2h exposer D65/10 CWF/10 A/10
CMC(2:1) dE CMC 0.23 0.19 0.19
Standard: Beige 1 ---- Illuminant/Observer ----
Sample: Beige 1 after 4h exposer D65/10 CWF/10 A/10
CMC( 2:1) dE CMC 0.25 0.20 0.20
Textile Effects
Influence of light exposure/2 (Photochromie)
Standard: Beige 1 ---- Illuminant/Observer ----
Sample: Beige 1 after 6h exposer D65/10 CWF/10 A/10
CMC( 2:1) dE CMC 0.24 0.17 0.18
Standard: Beige 1 ---- Illuminant/Observer ----
Sample: Beige 1 after 24h in the dark D65/10 CWF/10
A/10
CMC( 2:1) dE CMC 0.06 0.08 0.06
Textile Effects
Influence of light exposure/3 (Photochromie)
Standard: Beige 2 ---- Illuminant/Observer ----
Sample: Beige 2 after 2h exposer D65/10 CWF/10 A/10
CMC(2:1) dE CMC 0.09 0.08 0.07
Standard: Beige 2 ---- Illuminant/Observer ----
Sample: Beige 2 after 4h exposer D65/10 CWF/10 A/10
CMC( 2:1) dE CMC 0.13 0.11 0.10
Textile Effects
Influence of light exposure/4 (Photochromie)
Standard: Beige 2 ---- Illuminant/Observer ----
Sample: Beige 2 after 6h exposer D65/10 CWF/10 A/10
CMC( 2:1) dE CMC 0.12 0.12 0.11
Standard: Beige 2 ---- Illuminant/Observer ----
Sample: Beige 2 after 24h in the dark D65/10 CWF/10
A/10
CMC( 2:1) dE CMC 0.11 0.13 0.14