220325 'BNAX' http://farbe.li.tu-berlin.de/BEA_I.HTM oder http://color.li.tu-berlin.de/BEA_I.HTM.

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

Main part BEAI in English or BGAI in German.

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?

go to the image part BEAS to study the 10 image pages and the content.


Main part BEBI in English or BGBI in German.

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.

go to the image part BEBS to study the 10 image pages and the content.


Main part BECI in English or BGCI in German.

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.

go to the image part BECS to study the 10 image pages and the content.


Main part BEDI in English or BGDI in German.

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.

go to the image part BEDS to study the 10 image pages and the content.


Main part BEEI in English or BGEI in German.

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.

go to the image part BEES to study the 10 image pages and the content.


Main part BEFI in English or BGFI in German.

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.

go to the image part BEFS to study the 10 image pages and the content.


Main part BEGI in English or BGGI in German.

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.

go to the image part BEGS to study the 10 image pages and the content.


Main part BEHI in English or BGHI in German.

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.

go to the image part BEHS to study the 10 image pages and the content.


Main part BEII in English or BGII in German.

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.

go to the image part BEIS to study the 10 image pages and the content.


Main part BEJI in English or BGJI in German.

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.

go to the image part BEJS to study the 10 image pages and the content.


Main part BEKI in English or BGKI in German.

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.

go to the image part BEKS to study the 10 image pages and the content.


Main part BELI in English or BGLI in German.

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.

go to the image part BELS to study the 10 image pages and the content.


Main part BEMI in English or BGMI in German.

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.

go to the image part BEMS to study the 10 image pages and the content.


Main part BENI in English or BGNI in German.

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.

go to the image part BENS to study the 10 image pages and the content.


Main part BEOI in English or BGOI in German.

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.

go to the image part BEOS to study the 10 image pages and the content.


Main part BEPI in English or BGPI in German.

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.

go to the image part BEPS to study the 10 image pages and the content.


Main part BEQI in English or BGQI in German.

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.

go to the image part BEQS to study the 10 image pages and the content.


Main part BERI in English or BGRI in German.

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.

go to the image part BERS to study the 10 image pages and the content.


Main part BESI in English or BGSI in German.

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.

go to the image part BESS to study the 10 image pages and the content.


Main part BETI in English or BGTI in German.

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.

go to the image part BETS to study the 10 image pages and the content.


Main part BEUI in English or BGUI in German.

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.

go to the image part BEUS to study the 10 image pages and the content.


Main part BEVI in English or BGVI in German.
Title: Colour thresholds and line elements in 10 colour spaces IECsRGBu0 to 9 with additional function data
1. Introduction and goals;
2. Modifications IECsRGBu0 to 9 of the colour space IECsRGB, similar to CIELAB;
3. Corresponding line elements for the experimental contrast Y/(delta Y);
4. Absolute lightness L* (CIE 15) and T* (IEC 61066-2-1 (sRGB)) and relative lightness l* and t*;
5. Logarithmic and linear figures for L*, T*, l* and t*;
6. Logarithmic figures for threshold delta Y, sensitivity (delta Y)/Y, and contrast Y/(delta Y);
7. Parameters of the formula T*=Sn(Y/Yu)^(1/g)-Sd with Yu=18,
for exaample Sn=50, 1/g=1/2,4, Sd=0.

go to the image part BEVS to study the 10 image pages and the content.


Main part BEWI in English or BGWI in German.
Title: Colour thresholds and line elements in 10 colour spaces IECsRGBu0 to 9
1. Introduction and goals;
2. Modifications IECsRGBu0 to 9 of the colour space IECsRGB similar to CIELAB;
3. Corresponding line elements for the experimental contrast Y/(delta Y);
4. Absolute lightness L* (CIE 15) and T* (IEC 61066-2-1 (sRGB)) and relative lightness l* and t*;
5. Logarithmic and linear figures for L*, T*, l* and t*;
6. Logarithmic figures for threshold delta Y, sensitivity (delta Y)/Y, and contrast Y/(delta Y);
7. Parameters of the formula T*=Sn(Y/Yu)^(1/g)-Sd with Yu=18,
for exaample Sn=50, 1/g=1/2,4, Sd=0.

go to the image part BEWS to study the 10 image pages and the content.


Main part BEXI in English or BGXI in German.
Title: Colour thresholds and line elements in 10 colour spaces CIELABu0 to 9 with additional function data
1. Introduction and goals;
2. Modifications CIELABu0 to 9 of the colour space CIELAB;
3. Corresponding line elements for the experimental contrast Y/(delta Y);
4. Absolute lightness L* (CIE 15) and T* (ISO/CIE 11664-4 (CIELAB)) and relative lightness l* and t*;
5. Logarithmic and linear figures for L*, T*, l* and t*;
6. Logarithmic figures for threshold delta Y, sensitivity (delta Y)/Y, and contrast Y/(delta Y);
7. Parameters of the formula T*=Sn(Y/Yu)^(1/g)-Sd with Yu=18,
for exaample Sn=66, 1/g=1/3,0, Sd=16.

go to the image part BEXS to study the 10 image pages and the content.


Main part BEYI in English or BGYI in German.
Title: Colour thresholds and line elements in 10 colour spaces CIELABu0 to 9
1. Introduction and goals;
2. Modifications CIELABu0 to 9 of the colour space CIELAB;
3. Corresponding line elements for the experimental contrast Y/(delta Y);
4. Absolute lightness L* (CIE 15) and T* (ISO/CIE 11664-4 (CIELAB)) and relative lightness l* and t*;
5. Logarithmic and linear figures for L*, T*, l* and t*;
6. Logarithmic figures for threshold delta Y, sensitivity (delta Y)/Y, and contrast Y/(delta Y);
7. Parameters of the formula T*=Sn(Y/Yu)^(1/g)-Sd with Yu=18,
for exaample Sn=66, 1/g=1/3,0, Sd=16.

go to the image part BEYS to study the 10 image pages and the content.


Main part BEZI in English or BGZI in German.
Title: Colour thresholds and line elements in 10 colour spaces CIELABn0 to 9 with additional function data
1. Introduction and goals;
2. Modifications CIELABn0 to 9 of the colour space CIELAB;
3. Corresponding line elements for the experimental contrast Y/(delta Y);
4. Absolute lightness L* (CIE 15) and T* (ISO/CIE 11664-4 (CIELAB)) and relative lightness l* and t*;
5. Logarithmic and linear figures for L*, T*, l* and t*;
6. Logarithmic figures for threshold delta Y, sensitivity (delta Y)/Y, and contrast Y/(delta Y);
7. Parameters of the formula T*=Sn(Y/Yn)^(1/g)-Sd with Yn=100,
for example Sn=116, 1/g=1/3,0, Sd=16.

go to the image part BEZS to study the 10 image pages and the content.


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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.