For links to the chapter A
Colour Image Technology and Colour Management, see
Content list of chapter A:
AEA_I in English or
AGA_I in German.
Summary of chapter A:
AEA_S in English or
AGA_S in German.
Example content part AEAI of 26 parts AEAI to AEZI:
AEAI in English or
AGAI in German.
Example images part AEAS of 26 parts AEAS to AEZS:
AEAS in English or
AGAS in German.
For links to the chapter B
Colour Vision and Colorimetry, see
Content list of chapter B:
BEA_I in English or
BGA_I in German.
Summary of chapter B:
BEA_S in English or
BGA_S in German.
Example content part BEAI of 26 parts BEAI to BEZI:
BEAI in English or
BGAI in German.
Example images part BEAS of 26 parts BEAS to BEZS:
BEAS in English or
BGAS in German.
For links to the chapter C
Colour Spaces, Colour Differences, and Line Elements,
under work, see
Content list of chapter C:
CEA_I in English or
CGA_I in German.
Summary of chapter C:
CEA_S in English or
CGA_S in German.
Example content part CEAI of 26 parts CEAI to CEZI:
CEAI in English or
CGAI in German.
Example images part CEAS of 26 parts CEAS to CEZS:
CEAS in English or
CGAS in German.
For links to the chapter D
Colour Appearance, Elementary Colours, and Metrics,
under work, see
Content list of chapter D:
DEA_I in English or
DGA_I in German.
Summary of chapter D:
DEA_S in English or
DGA_S in German.
Example content part DEAI of 26 parts DEAI to DEZI:
DEAI in English or
DGAI in German.
Example images part DEAS of 26 parts DEAS to DEZS:
DEAS in English or
DGAS in German.
Project title: Colour and colour vision with Ostwald, device, and elementary colours -
Antagonistic colour-vision model and properties for many applications
Chapter B: Colour Vision and Colorimetry,
Main part BEA_I
This web page will incude 26 main parts (I) with general information, and is under development (2021).
There will be 26 corresponding image parts (S), each with 10 figure pages.
Each of the 10 figure pages (0 to 9) includes up to 16 figures,
and each with up to six formats.
Structure, content, and order of files and figures on the example chapter
Colour Vision and Colorimetry
Figure 1 shows the structure of the web site BE(A..Z)I.HTM und BE(A..Z)S.HTM.
For the download of this figure in the VG-PDF format, see
AEX00-5N.PDF.
Structure, content, and order of files and figures on the web site
http://farbe.li.tu-berlin.de.
Figure 2 shows the structure, the content, and the order of files and figures on the web site
http://farbe.li.tu-berlin.de.
For the download of this figure in the VG-PDF format, see
AEX0L0N1.
List of links to all main parts, and the contents of all image parts
Title: Antagonistic colour vision model and applications;
Mixture of spectral colours to optimal colours of Ostwald;
Six chromatic mixture colours as optimal and device colours;
Application chromatic adaptation;
Application adaptation to the visual luminance range.
1. Introduction and goals.
2. Antagonistic colour vision model and applications.
3. Model for chromatic adaptation.
4. Model for adaptation to the visual luminance range
beteem white W and black N for the contrast steps
C=2:1, 4:1, 36:1 to 288:1, and seven further steps.
5. Antagonistic colorimetry: linear, logarithmic, or?
Title: Eight Planck and Daylight illuminants Pxx and Dxx;
for the calculation of the Ostwald-optimal colours;
complementary optimal colours with antagonistic tristimulues values
X, Y, Z, and Xw-X, Yw-Y, Zw-Z
in the CIE chromaticity diagram (x, y), and other
colorimetric diagrams for the CIE standard illuminants D65 and A.
1. Introduction and goals.
2. Relative sprectral radiation of the 8 illuminants Pxx and Dxx.
3. Wavelength ranges of the Ostwald colours for 16 illuminants.
4. Calculations of tristimulues values
X, Y, Z, and Xw-X, Yw-Y, Zw-Z, as well as
wavelength limits, dominant and complementary wavelength.
5. Alternative starting wavelength limits compared to the
preferred limits.
6. Equal chromatic values for the antagonistic colour pairs
R-C, Y-B und G-M
in the chromatic value diagram (A2, B2),
and comparison with CIELAB chroma.
Title: Ostwald-optimal colours for the CIE-02-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for complementary optimal colours of antagonistic tristimulues values
X, Y, Z, and
Xw-X, Yw-Y, Zw-Z in the CIE chromaticity diagram
(x, y);
for four contrast steps C=25:1, 10:1, 4:1, and 2:1.
1. Introduction and goals.
2. Location of complementary Ostwald-optimal colours
in the CIE (x, y) chromaticity diagram.
2. Approximately equal chromatic values CAB2 for all
Ostwald-optimal colours.
3. Decreasing of chromaticity difference between colour and white
for any of the four contrast steps C=25:1, 10:1, 4:1, and 2:1.
4. Change of the triangle location in (x, y) to a circular location
in the chromatic value diagrams (A2, B2)
for any of the four contrast steps C and discussion.
Title: Ostwald-optimal colours for the CIE-10-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for complementary optimal colours of antagonistic tristimulues values
X10, Y10, Z10, and
Xw10-X10, Yw10-Y10, Zw10-Z10 in the CIE chromaticity diagram
(x10, y10);
for four contrast steps C=25:1, 10:1, 4:1, and 2:1.
1. Introduction and goals.
2. Location of complementary Ostwald-optimal colours
in the CIE (x10, y10) chromaticity diagram.
2. Approximately equal chromatic values CAB2,10 for all
Ostwald-optimal colours.
3. Decreasing of chromaticity difference between colour and white
for any of the four contrast steps C=25:1, 10:1, 4:1, and 2:1.
4. Change of the triangle location in (x10, y10) to a circular location
in the chromatic value diagrams (A2,10, B2,10)
for any of the four contrast steps C and discussion.
Title: Antagonistic model of colour vision for Ostwald colours;
Additive mixture of spectral colours to Ostwald optimal colours.
1. Introduction and goals.
2. Additive spectral colour mixture with a colour integrator
to the Ostwald-optimal colours.
3. Antagonistic model of colour vision; mixture to grey for D65.
4. Additive colour mixture for four display devices sRGB, WCGa,
Offs, and Ostw.
5. Normalized reflections R/0,5 or log[R/0,2] and relations
to the lightness and to antagonistic visual signals.
Title: Ostwald optimal colours for the CIE-2-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for two complementary hue planes in diagrams (CAB2, Y);
for chromatic values CAB and tristimulus values Y.
1. Introduction and goals.
2. Approximately equal chromatic value CAB2 in any hue plane.
3. Equal decreasing of chromatic values CAB2
for each of the four contrast steps C=25:1, 10:1, 4:1, and 2:1.
4. Reason of Y-transfer
for four contrast steps C and discussion.
Title: Ostwald optimal colours for the CIE-10-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for two complementary hue planes in diagrams (CAB2, Y);
for chromatic values CAB and tristimulus values Y.
1. Introduction and goals.
2. Approximately equal chromatic value CAB2 in any hue plane.
3. Equal decreasing of chromatic values CAB2
for each if the four contrast steps C=25:1, 10:1, 4:1, and 2:1.
4. Reason of Y-transfer
for four contrast steps C and discussion.
Title: Ostwald optimal colours for the CIE-2-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for 3 complementary colour pairs R-C, Y-B, and G-M;
in chromatic value diagrams (A1, B1) and (A2, B2).
1. Introduction and goals.
2. Equal chromatic values in diagrams (A1, B1) and (A2, B2);
3. Equal chromatic values for three complementary
colour pairs R-C, Y-B and G-M;
4. Equal change of chromatic values
for any of 4 contrast steps C=25:1, 10:1, 4:1, and 2:1.
Title: Ostwald optimal colours for the CIE-10-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for 3 complementary colour pairs R-C, Y-B, and G-M;
in chromatic value diagrams (A1, B1) and (A2, B2).
1. Introduction and goals.
2. Equal chromatic values in diagrams (A1, B1) and (A2, B2);
3. Equal chromatic values for three complementary
colour pairs R-C, Y-B and G-M;
4. Equal change of chromatic values
for any of 4 contrast steps C=25:1, 10:1, 4:1, and 2:1.
Title: Ostwald optimal colours for the CIE-2-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for two complementary hue planes in diagrams (CAB, Y);
for chromatic values CAB and tristimulus values Y;
diffferent Y-tranfers and Y-scales
for four contrast steps C=25:1, 10:1, 4:1, and 2:1.
1. Introduction and goals.
2. Approximately equal chromatic value CAB in any hue plane.
3. Equal decreasing of chromatic values CAB
for each of the four contrast steps C=25:1, 10:1, 4:1, and 2:1.
4. Reason of the different Y-transfers and Y-scales
for the four contrast steps C and discussion.
Title: Ostwald optimal colours for the CIE-10-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for two complementary hue planes in diagrams (CAB, Y);
for chromatic values CAB and tristimulus values Y;
diffferent Y-tranfers and Y-scales
for four contrast steps C=25:1, 10:1, 4:1, and 2:1.
1. Introduction and goals.
2. Approximately equal chromatic value CAB in any hue plane.
3. Equal decreasing of chromatic values CAB
for each if the four contrast steps C=25:1, 10:1, 4:1, and 2:1.
4. Reason of different Y-transfers and Y-scales
for the four contrast steps C and discussion.
Title: Ostwald optimal colours for the CIE-2-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for 3 complementary colour pairs R-C, Y-B, and G-M;
in chromatic value diagrams (A, B) and (A1, B1).
1. Introduction and goals.
2. Equal chromatic values in diagrams (A, B) and (A1, B1);
3. Equal chromatic values for three complementary
colour pairs R-C, Y-B and G-M;
4. Equal change of chromatic values
for any of 4 contrast steps C=25:1, 10:1, 4:1, and 2:1.
Title: Ostwald optimal colours for the CIE-10-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for 3 complementary colour pairs R-C, Y-B, and G-M;
in chromatic value diagrams (A, B) and (A1, B1).
1. Introduction and goals.
2. Equal chromatic values in diagrams (A, B) and (A1, B1);
3. Equal chromatic values for three complementary
colour pairs R-C, Y-B and G-M;
4. Equal change of chromatic values
for any of 4 contrast steps C=25:1, 10:1, 4:1, and 2:1.
Title: Ostwald optimal colours for the CIE-2-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for two complementary hue planes in diagrams (CAB2, Y);
for chromatic values CAB and tristimulus values Y.
1. Introduction and goals.
2. Approximately equal chromatic value CAB2 in any hue plane.
3. Equal decreasing of chromatic values CAB2
for each of the four contrast steps C=25:1, 10:1, 4:1, and 2:1.
4. Reason of Y-transfer
for four contrast steps C and discussion.
Title: Ostwald optimal colours for the CIE-10-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for two complementary hue planes in diagrams (CAB2, Y);
for chromatic values CAB and tristimulus values Y.
1. Introduction and goals.
2. Approximately equal chromatic value CAB2 in any hue plane.
3. Equal decreasing of chromatic values CAB2
for each if the four contrast steps C=25:1, 10:1, 4:1, and 2:1.
4. Reason of Y-transfer
for four contrast steps C and discussion.
Title: Ostwald optimal colours for the CIE-2-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for two complementary hue planes in diagrams (CAB2, Y);
for chromatic values CAB and tristimulus values Y.
1. Introduction and goals.
2. Approximately equal chromatic value CAB2 in any hue plane.
3. Equal decreasing of chromatic values CAB2
for each of the four contrast steps C=25:1, 10:1, 4:1, and 2:1.
4. Reason of Y-transfer
for four contrast steps C and discussion.
Title: Ostwald optimal colours for the CIE-10-degree observer;
for 8 Planck-illuminants Pxx,
and for 8 daylight illuminants Dxx;
for two complementary hue planes in diagrams (CAB2, Y);
for chromatic values CAB and tristimulus values Y.
1. Introduction and goals.
2. Approximately equal chromatic value CAB2 in any hue plane.
3. Equal decreasing of chromatic values CAB2
for each if the four contrast steps C=25:1, 10:1, 4:1, and 2:1.
4. Reason of Y-transfer
for four contrast steps C and discussion.
Title: Just noticeable colour differences (JNDs) of Ostwald colours;
Hue circles and hue planes of Ostwald colours for 2 contrasts
C>288:1 and 2:1.
1. Introduction and goals.
2. Just noticeable colour differences (JNDs) of Ostwald colours.
3. Equal JNDs for all antagonistic (complementary) optimal colours
according to Holtsmark and Valberg.
4. Hue circles and hue planes of Ostwald colours
for 8 CIE illuminants and 2 contrasts C>288:1 and 2:1.
5. Relation of the Holtsmark results to the colorimetric line
elements of Schroedinger und Stiles.
Title: Viewing situation of adjacent and separate colours;
Antagonistic colour attributes and scaling of
N*, I*, W*, T*, C*, and A*.
1. Introduction and goals.
2. Viewing situation of adjacent and separate colours.
3. Colour attributes Blackness N*, whiteness W*,
Chromaticness C*, and the antagonistic attributes
I*, T*, and A*.
4. Antagonistic optimal colours of a colour half.
5. Colour vectors of the antagonistic colour vision model and relation with
linear colour values, and linear and nonlinear colour attributes.
Title: Colour line elements for adjacent and separate colours;
Colour difference formulae CIELAB and IECsRGB for scaling, and
LABJNDx and IECsRGBJND for thresholds.
1. Introduction and goals.
2. Viewing situation of adjacent and separate colours.
3. Colour-difference formulae for scaling and threshold.
4. CIELAB for separated colours and LABJND for adjacent colours.
5. Differences of colour line elements for scaling and thresholds.
Title: Ostwald, sRGB and WCGa colours in chromaticity
and in chromatic value diagram;
Line elements and derivations of achromatic colours
for scaling and thresholds
1. Introduction and goals.
2. Ostwald, sRGB, and WCGa colours in the chromaticity diagram
(x, y), and in the chromatic value diagram (A2, B2).
3. Simplified colour-difference formulae for scaling and thresholds.
4. Colour difference formulae CIELAB and IECsRGB for scaling, and
LABJNDx and IECsRGBJND for thresholds.
5. Line elements and derivations of achromatic colours
for scaling and thresholds.
-------
For the start TUB web site (not archive), see
index.html in English,
indexDE.html in German.
For the archive information (2000-2009) of the BAM server
"www.ps.bam.de" (2000-2018)
about colour test charts, colorimetric calculations,
standards, and publications, see
indexAE.html in English,
indexAG.html in German.