240601 'GNAX' http://farbe.li.tu-berlin.de/CEA_I.HTM or http://color.li.tu-berlin.de/CEA_I.HTM.
'CNAX':@PROZ_CEA_I.COM format: 'dmyy'LINKSEA_G.HTM

Go to this page in German CGA_I.HTM


Chapter A: Colour Image Technology and Colour Management (2019) , see
Introduction, content list and summary: AEAI, AEA_I, AEA_S in English or AGAI, AGA_I, AGA_S in German.
Image pages with 10 and 260 image series: AEAS, ae2s in English or AGAS, ag2s in German.

Chapter B: Colour Vision and Colorimetry (2020) , see
Introduction, content list and summary: BEAI, BEA_I, BEA_S in English or BGAI, BGA_I, BGA_S in German.
Image pages with 10 and 260 image series: BEAS, be2s in English or BGAS, bg2s in German.

Chapter C: Colour Spaces, Colour Differences, and Line Elements (2021) , see
Introduction, content list and summary: CEAI, CEA_I, CEA_S in English or CGAI, CGA_I, CGA_S in German.
Image pages with 10 and 260 image series: CEAS, ce2s in English or CGAS, cg2s in German.

Chapter D: Colour Appearance, Elementary Colours, and Metrics (2022) , see
Introduction, content list and summary: DEAI, DEA_I, DEA_S in English or DGAI, DGA_I, DGA_S in German.
Image pages with 10 and 260 image series: DEAS, de2s in English or DGAS, dg2s in German.

Chapter E: Colour Metrics, Differences, and Appearance (2023) , see
Introduction, content list and summary: eeai, eea_i, eea_s in English or egai, ega_i, ega_s in German.
Image pages with 10 and 260 image series: eeas, ee2s in English or egas, eg2s in German.

Chapter F: Colour metrics for chromatic and luminance adaptation (2024) , see
Introduction and content list: feai, fea_i in English or fgai (under work), fga_i in German.
Image pages with 10 and 260 image series: feas, fe2s in English or fgas, fg2s in German.

Chapter G: Colour metrics for optimal image quality with equally spaced colour series (2025) , under work, start in 2024
Content list: gea_i in English or gga_i in German.
Image pages with 10 (and 260, under work) image series: geas ge2s in English or ggas, gg2s in German.

Project title: Colour and colour vision with Ostwald, device, and elementary colours -
Antagonistic colour-vision model TUBJND and properties for many applications

Chapter C: Colour Spaces, Colour Differences, and Line Elements (2021), Main part CEA_I

Each chapter includes main parts (I) with information to an image part (S).
There are 26 image parts (S), each with 10 figure pages.
The 10 figure pages (0 to 9) include up to 16 figures, and each figure 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 the contents of all image parts

Image part CEAS in English or CGAS in German.
Title: Line elements, colour spaces, and colour thresholds;
Comparison of LABJND and CIELAB line elements.

1. Introduction and goals.
2. Line elements for achromatic colours;
3. Colour spaces and chromatic thresholds;
4. Relation of the laws of Weber-Fechner & Stevens.
5. LABJND-line elements according to CIE 230:219;
6. Comparison with CIELAB-line elements according to ISO/CIE 11664-4.
for further information and discussion, see CEAI.

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


Image part CEBS in English or CGBS in German.
Title: Colour thresholds and line elements in 10 colour spaces LABJNDu0 to 9, A0n=1,5
1. Introduction and goals;
2. Modifications LABJNDu0 to 9 of the colour difference formula LABJND according to CIE 230:2019;
3. Corresponding line elements for the experimental contrast Y/(delta Y);
4. Absolute lightness L* (CIE 15) and T* (IEC 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: A0n=1,5, A1n=sv*cx, A2n=cv*cx, sv=0,0170, cv=0,0058, cx=1,00;
8. Variations cx=0,84, 0,67 und 0,42, and additional data.

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


Image part CECS in English or CGCS in German.
Title: Colour thresholds and line elements in 10 colour spaces LABJNDu0 to 9
1. Introduction and goals;
2. Modifications LABJNDu0 to 9 of the colour difference formula LABJND according to CIE 230:2019;
3. Corresponding line elements for the experimental contrast Y/(delta Y);
4. Absolute lightness L* (CIE 15) and T* (IEC 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: A0n=1,5, A1n=sv*cx, A2n=cv*cx, sv=0,0170, cv=0,0058, cx=1,00;
8. Variations cx=0,84, 0,67 und 0,42.

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


Image part CEDS in English or CGDS in German.
Title: Colour thresholds and line elements in 10 colour spaces LABJNDu0 to 9
1. Introduction and goals;
2. Modifications LABJNDu0 to 9 of the colour difference formula LABJND according to CIE 230:2019;
3. Corresponding line elements for the experimental contrast Y/(delta Y);
4. Absolute lightness L* (CIE 15) and T* (IEC 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: A0n=1,0, A1n=sv*cx, A2n=cv*cx, sv=0,0170, cv=0,0058, cx=1,00;
8. Variations cx=0,84, 0,67 und 0,42, and additional data.

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


Image part CEES in English or CGES in German.
Title: Colour thresholds and line elements in 10 colour spaces LABJNDu0 to 9
1. Introduction and goals;
2. Modifications LABJNDu0 to 9 of the colour difference formula LABJND according to CIE 230:2019;
3. Corresponding line elements for the experimental contrast Y/(delta Y);
4. Absolute lightness L* (CIE 15) and T* (IEC 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: A0n=1,5, A1n=sv, A2n=cv*cx, sv=0,0170, cv=0,0058, cx=1,00;
8. Variations cx=0,84, 0,67 und 0,42, and additional data.

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


Image part CEFS in English or CGFS in German.
Title: Colour thresholds and line elements in 10 colour spaces LABJNDu0 to 9
1. Introduction and goals;
2. Modifications LABJNDu0 to 9 of the colour difference formula LABJND according to CIE 230:2019;
3. Corresponding line elements for the experimental contrast Y/(delta Y);
4. Absolute lightness L* (CIE 15) and T* (IEC 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: A0n=1,5, A1n=sv, A2n=cv*cx, sv=0,0170, cv=0,0058, cx=1,00;
8. Variations cx=0,84, 0,67 und 0,42.

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


Image part CEGS in English or CGGS in German.
Title: Colour thresholds and line elements in 10 colour spaces LABJNDu0 to 9
1. Introduction and goals;
2. Modifications LABJNDu0 to 9 of the colour difference formula LABJND according to CIE 230:2019;
3. Corresponding line elements for the experimental contrast Y/(delta Y);
4. Absolute lightness L* (CIE 15) and T* (IEC 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: A0n=1,5, A1n=sv*cx, A2n=cv, sv=0,0170, cv=0,0058, cx=1,00;
8. Variations cx=0,84, 0,67 und 0,42, and additional data.

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


Image part CEHS in English or CGHS in German.
Title: Colour thresholds and line elements in 10 colour spaces LABJNDu0 to 9
1. Introduction and goals;
2. Modifications LABJNDu0 to 9 of the colour difference formula LABJND according to CIE 230:2019;
3. Corresponding line elements for the experimental contrast Y/(delta Y);
4. Absolute lightness L* (CIE 15) and T* (IEC 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: A0n=1,5, A1n=sv*cx, A2n=cv, sv=0,0170, cv=0,0058, cx=1,00;
8. Variations cx=0,84, 0,67 und 0,42.

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


Image part CEIS in English or CGIS in German.
Title: 8 basic colours RYGCBMNW and 16 grey steps,
Change of the colour data by up to 8 diplay reflexions

1. Introduction and goals.
2. Change of the colour data for 8 basic colours;
3. Change of the colour data for 16 grey steps;
4. Colour data rgb*, LabC*h and w for up to 8 reflexions.

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


Image part CEJS in English or CGJS in German.
Title: Relative antagonistic colour vision model LMS-R21, illuminant E00
1. Introduction and goals.
2. Linear sensitivities and linear differences;
calculated model data marked with dashed lines (DL);
without and with thresholds tsa=0,00 and 0,10.
3. Ten triple combinations of maximal sensitivities: (545,557,570) and;
30. (545,570,595), (520,570,620), DL;
31. (495,520,545), (470,520,570), DL;
32. (445,470,495), (420,470,520), DL;
33. (570,595,620), (520,570,620);
34. (545,570,595), (520,570,620);
35. (520,545,570), (520,570,620);
36. (495,520,545), (470,520,570);
37. (470,495,520), (470,520,570);
38. (445,470,495), (420,470,520);
39. (420,445,470), (420,470,520);
4. Figures of linear spectral sensitivities and linear differences.
for further information and discussion, see CEAJ.

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


Image part CEKS in English or CGKS in German.
Title: Relative antagonistic colour vision model LMS-R21, illuminant E00
1. Introduction and goals.
2. Logarithmic sensitivities and logarithmic differences;
calculated model data marked with dashed lines (DL);
without and with thresholds tsa=0,00 and 0,10.
3. Ten triple combinations of maximal sensitivities: (545,557,570) and;
30. (545,570,595), (520,570,620), DL;
31. (495,520,545), (470,520,570), DL;
32. (445,470,495), (420,470,520), DL;
33. (570,595,620), (520,570,620);
34. (545,570,595), (520,570,620);
35. (520,545,570), (520,570,620);
36. (495,520,545), (470,520,570);
37. (470,495,520), (470,520,570);
38. (445,470,495), (420,470,520);
39. (420,445,470), (420,470,520);
4. Figures of logarithmic spectral sensitivities and logarithmic differences.

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


Image part CELS in English or CGLS in German.
Title: Relative antagonistic colour vision model LMS-R21, illuminant E00
1. Introduction and goals.
2. Logarithmic sensitivities and linear differences;
calculated model data marked with dashed lines (DL);
without and with thresholds tsa=0,00 and 0,10.
3. Ten triple combinations of maximal sensitivities: (545,557,570) and;
30. (545,570,595), (520,570,620), DL;
31. (495,520,545), (470,520,570), DL;
32. (445,470,495), (420,470,520), DL;
33. (570,595,620), (520,570,620);
34. (545,570,595), (520,570,620);
35. (520,545,570), (520,570,620);
36. (495,520,545), (470,520,570);
37. (470,495,520), (470,520,570);
38. (445,470,495), (420,470,520);
39. (420,445,470), (420,470,520);
4. Figures of logarithmic spectral sensitivities and linear differences.

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


Image part CEMS in English or CGMS in German.
Title: Four CIE colorimetries and some relations to the antagonistic relative colorimetry R21.
1. Introduction and goals.
2. Linear CIE sensitivities and CIE differences without thresholds tsa=0,00.
3. Combinations of CIE illuminant and CIE colorimetry;
30. D65 and HPE-CIE-02;
31. D65 and HPE-CIE-10;
32. E00 and HPE-CIE-02;
33. E00 and HPE-CIE-10;
34. E00 and LMS-CIE-F02;
35. E00 and LMS-CIE-F10;
36. D50 and HPE-CIE-02;
37. D50 and HPE-CIE-10;
38. D50 and LMS-CIE-F02;
39. D50 and LMS-CIE-F10.

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


Image part CENS in English or CGNS in German.
Title: Four CIE colorimetries and some relations to the antagonistic relative colorimetry R21.
1. Introduction and goals.
2. Linear CIE sensitivities and CIE differences without thresholds tsa=0,00.
3. Combinations of CIE illuminant and CIE colorimetry.
30. D65 and HPE-CIE-F02;
31. D65 and HPE-CIE-F10;
32. P00 and HPE-CIE-02;
33. P00 and HPE-CIE-10;
34. P00 and LMS-CIE-F02;
35. P00 and LMS-CIE-F10;
36. Q00 and HPE-CIE-02;
37. Q00 and HPE-CIE-10;
38. Q00 and LMS-CIE-F02;
39. Q00 and LMS-CIE-F10.

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


Image part CEOS in English or CGOS in German.
Title: Four CIE colorimetries and some relations to the antagonistic relative colorimetry R21.
1. Introduction and goals.
2. Linear CIE sensitivities and CIE differences without thresholds tsa=0,00.
3. Combinations of CIE illuminant and CIE colorimetry.
30. E00 and LMS-CIE-F02 with basic raltions;
31. E00 and LMS-CIE-F10 with basic relations;
32. Eight illuminants Dxx and HPE-CIE-02;
33. Eight illuminants Dxx and HPE-CIE-10;
34. Eight illuminants Dxx and LMS-CIE-F02;
35. Eight illuminants Dxx and LMS-CIE-F10;
36. Eight illuminants Pxx and HPE-CIE-02;
37. Eight illuminants Pxx and HPE-CIE-10;
38. Eight illuminants Pxx and LMS-CIE-F02;
39. Eight illuminants Pxx and LMS-CIE-F10.

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


Image part CEPS in English or CGPS in German.
Title: LMS-R21 Colour-vision model, lin[threshold]=0 & 0,04 & 0,10;
lin[sensitivity] and lin[ratio]

1. Introduction and goals.
2. Cone ratio L:M:S, saturation V;
3. Sensitivities LMV->L/V & M/V and OLM->O/L & M/L;
4. Four adaptations: 620,570,520,470 and 595,570,545,520;
5. Sensitivity 557,457,507, VNg->V/g & N/g, WN-antigonisme;
6. Sensitivity 570,470,520, LBG->L/G & B/G, YB-antigonisme.
go to the image part CEPS to study the 10 image pages and the content.


Image part CEQS in English or CGQS in German.
Title: LMS-R21 Colour-vision model, lin[threshold]=0 & 0,04 & 0,10;
log[sensitivity] and log[ratio]

1. Introduction and goals.
2. Cone ratio L:M:S, saturation V;
3. Sensitivities LMV->L/V & M/V and OLM->O/L & M/L;
4. Four adaptations: 620,570,520,470 and 595,570,545,520;
5. Sensitivity 557,457,507, VNg->V/g & N/g, WN-antigonisme;
6. Sensitivity 570,470,520, LBG->L/G & B/G, YB-antigonisme.
go to the image part CEQS to study the 10 image pages and the content.


Image part CERS in English or CGRS in German.
Title: LMS-R21 Colour-vision model, lin[threshold]=0 & 0,04 & 0,10;
lin & log [sensitivity & ratio]

1. Introduction and goals.
2. Cone ratio L:M:S, saturation V;
3. Sensitivities LMV->L/V & M/V and OLM->O/L & M/L;
4. Four adaptations: 620,570,520,470 and 595,570,545,520;
5. Sensitivity 557,457,507, VNg->V/g & N/g, WN-antigonisme;
6. Sensitivity 570,470,520, LBG->L/G & B/G, YB-antigonisme.
go to the image part CERS to study the 10 image pages and the content.


Image part CESS in English or CGSS in German.
Title: Special properties of colour vision;
Lightness, threshold, sensitivity and contrast functions

1. Introduction and goals.
2. Basic functions for visual thresholds and attributes;
3. Logarithmic and linear functions of colour vision attributes;
3. CIELAB, CIEDE2000, and LABJND colour-difference formulae;
4. Comparison results of the different formulae;
5. Short time and long time viewing of colour samples.
go to the image part CESS to study the 10 image pages and the content.


Image part CETS in English or CGTS in German.
Title: Special properties of colour vision;
Input and output linearization with ISO-colour files;
Lightness, threshold, sensitivity and contrast functions

1. Introduction and goals.
2. Basic functions for visual thresholds and attributes;
3. Logarithmic and linear functions of colour vision attributes;
3. CIELAB, CIEDE2000, and LABJND colour-difference formulae;
4. Comparison results of the different formulae;
5. Use of ISO files according to ISO 9241-306:2019 and ISO/IEC 15775:2022;
6. Input and output linearisation: ISO file -> print -> scan -> ISO file.
go to the image part CETS to study the 10 image pages and the content.


Image part CEUS in English or CGUS in German.
Title: Colour thresholds and line elements in 10 colour spaces LABJNDu0 to 9, A0n=1/1,5
1. Introduction and goals;
2. Modifications LABJNDu0 to 9 of the colour difference formula LABJND according to CIE 230:2019;
3. Corresponding line elements for the experimental contrast Y/(delta Y);
4. Absolute lightness L* (CIE 15) and T* (IEC 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: A0n=1/1,5, A1n=sv*cx, A2n=cv*cx, sv=0,0170, cv=0,0058, cx=1,00;
8. Variations cx=0,84, 0,67 und 0,42, and additional data.

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


Image part CEVS in English or CGVS in German.
Title: Availability of ISO- and ISO/IEC-colour test charts according to ISO/IEC 15775:2022 and ISO 9241-306:2018;
Wavelength ranges of Ostwald colours, reflecions for 6 contrasts and antagonistic colour attributes.

1. Introduction and goals.
2. Availability and applications of ISO- and ISO/IEC-colour test charts;
3. Wavelength ranges of Ostwald colours;
4. Standard reflection R, relative reflection R1 and log(R1);
5. Triangle lightness T*;
6. Antagonistic reflections of Ostwald colours for 6 contrasts;
7. Antagonistic physiological +-signals and colour attributes.

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Image part CEWS in English or CGWS in German.
Title: Hue circle of Ostwald-optimal colours;
YN=0, YW=100, for CIE standard illuminant D65 or illuminant P60 (6000K);
XYZ, YABCh, YABCh1, and YABCh2 data;
Data for the CIE 02 and 10 degree observer in 8 colour diagrams;
Three elementary-colour systems;
Spectral properties of optimal and surface colours;
Space coordinates: device, optimal, and Arens colours.

1. Introduction and goals.
2. Hue circle of Ostwald-optimal colours;
2.1 YN=0, YW=100, CIE standard illuminants D65, CIE 02 degree observer;
XYZ data and 8 colour diagrams; Data YABCh, YABCh1 and YABCh2 as table with wavelength
2.2 similar for CIE standard illuminant D65, CIE 10 degree observer;
2.3 similar for CIE illuminants P60 (6000K), CIE 02 degree observer;
3. Three elementary-colour systems
Spectral properties of optimal and surface colours;
Space coordinates: device, optimal, and Arens colours.

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


Image part CEXS in English or CGXS in German.
Title: Ostwald-optimal colours;
YN=0, YW=100, for eight illuminants Dxx or Pxx;
XYZ, YABCh, YABCh1, and YABCh2 data;
Data for the CIE 02 and 10 degree observer in 8 colour diagrams;
Chromatic adaptation model for 8 Planck radiations.

1. Introduction and goals.
2. Ostwald-optimal colours;
2.1 YN=0, YW=100, 8 illuminants Dxx, CIE 02 degree observer;
XYZ data and 8 colour diagrams; Data YABCh, YABCh1 and YABCh2 as table with wavelength;
2.2 similar for 8 illuminants Dxx, CIE 10 degree observer;
2.3 similar for 8 illuminants Pxx, CIE 02 degree observer;
3. Chromatic adaptation model
Ostwald-optimal colours for 8 Planck radiations Pxx with
8 correlated colour temperatures between 6000K (P60) and 2500K (P25).

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


Image part CEYS in English or CGYS in German.
Title: CIEXYZ and LABJND data of YB(Yellow-Blue) and GM (Green-Magenta) optimal colours
for 8 Dxx and 8 Pxx illuminants

1. Introduction and goals;
2. YB and GM data for 8 Dxx and 8 Pxx illuminants;
3. CIE 2 and 10 degree observer, CIEXYZ, LABJND, and CIELAB data;
4. YABCabh1&2 data, wavelength lambda(1,2,d,c) of Ostwald colours;
5. Definition of wavelength lambda1 (CEY0 to CEY3);
6. Definition of wavelength lambda1 and lambda2 (CEY4 to CEY9);
7. Performance of the calculation of lambda(2,d,c);
8. Application for the four elemetary colours RJGB.
go to the image part CEYS to study the 10 image pages and the content.


Image part CEZS in English or CGZS in German.
Title: Technology of images with the programming language PostScript;
Combining images (rectangle layout) to new images.

1. Introduction and goals.
2. Examples of new images in different layout;
3. Rectangular and hue circle presentation;
4. Application for the Ostwald hue circle;
5. Standard reflection R, relative reflection Rr=R/0,18 and Rs=log(Rr).
6. Wavelength limits and XYZ data of Ostwald colours for 8 illuminants.
7. Chromatic values (A, B), (A1, B1), and (A2, B2) of Ostwald colours.
go to the image part CEZS 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.