240701 'GNAX' http://farbe.li.tu-berlin.de/fea_i.htm or http://color.li.tu-berlin.de/fea_i.htm.
'FNAX':@PROZ_FEA_I.COM format: 'dmyy'LINKSEA_G.HTM

Go to this page in German fga_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: Equally spaced colour scales for optimal colour-image quality (2025) , under work
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 F: Colour Metrics for chromatic and luminance adaptation (2024), Main part fea_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 AEX0L0NP.PDF.

List of links to the contents of all image parts

Image part feas in English or fgas in German.
Title: Colour loop and colour management;
ISO 15076-1:2010, ISO 20677:2019, ISO 9241-306:2018, and ISO/IEC 15775/ed-2:2022;
Profile Connection Space (PCS) and Profile Connetion Condition (PCC)

1. Introduction and goals.
2. Colour management with CIELAB L*a*b* und TUBLAB rgb* as PCS and PCC.
3. Lightness L* and relative lightness T* of the primary colours RGB.
4. Experimental achromatic thresholds delta_L of Lingelbach without and with adaptation level.
5. Relative elementary colour sustem; thresholds ts=0, 0,01, 0,02 and 0,03; O/L & M/L and O/V & M/V.
6. Discussion of results for colour vision.
for further information and discussion, see feai.

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


Image part febs in English or fgbs in German.
Title: Spectral sensitivity and saturation;
line elements, responses and discrimination as function of luminance;
comparison of CIEXYZ and HPE-LMS spectral values with model functions;
antagonistic achromatic and chromatic responses as function of luminance;
spectal definition and discrimination of Ostwald colours.

1. Introduction and goals.
2. Complementary antagonistic symmetric responses and saturation.
3. Antagonistic achromatic and chromatic responses as function of luminance.
4. Colour vision and physiological responses in the range of surface colours.
5. Comparison of CIEXYZ and HPE-LMS spectral values with Gauß-model functions 6. Antagonistic spectral Gauß-colour values and responses.
7. Spectal definition and discrimination of Ostwald colours.
go to the image part febs to study the 10 image pages and the content.


Image part fecs in English or fgcs in German.
Title: Ostwald-optimal colours;
4 illuminants D65, D50, P40, A; hue plane YB;
4 contrasts C >288:1, 25:1, 16:1, 9:1

1. Introduction and goals.
2. CIE tristimulus value Y;
3. Lightness -50 < L'CIE, L'CIr, L'TUr, L'TAr <50.
4. Lightness 0 < L*CIE, L*CIr, L*TUr, L*TAr <100.
5. Diskussion of results.
go to the image part fecs to study the 10 image pages and the content.


Image part feds in English or fgds in German.
Title: Ostwald-optimal colours;
4 illuminants D65, D50, P40, A; hue plane YB;
4 contrasts C >288:1, 25:1, 16:1, 9:1

1. Introduction and goals.
2. CIE tristimulus value Y;
3. Lightness -50 < L'CIE, L'CIr, L'TUr, L'TAr <50.
4. Lightness 0 < L*CIE, L*CIr, L*TUr, L*TAr <100.
5. Diskussion of results.
go to the image part feds to study the 10 image pages and the content.


Image part fees in English or fges in German.
Title: Ostwald-optimal colours;
4 illuminants D65, D50, P40, A; hue plane CR;
4 contrasts C >288:1, 25:1, 16:1, 9:1

1. Introduction and goals.
2. CIE tristimulus value Y;
3. Lightness -50 < L'CIE, L'CIr, L'TUr, L'TAr <50.
4. Lightness 0 < L*CIE, L*CIr, L*TUr, L*TAr <100.
5. Diskussion of results.
go to the image part fees to study the 10 image pages and the content.


Image part fefs in English or fgfs in German.
Title: Ostwald-optimal colours;
4 illuminants D65, D50, P40, A; hue plane GM;
4 contrasts C >288:1, 25:1, 16:1, 9:1

1. Introduction and goals.
2. CIE tristimulus value Y;
3. Lightness -50 < L'CIE, L'CIr, L'TUr, L'TAr <50.
4. Lightness 0 < L*CIE, L*CIr, L*TUr, L*TAr <100.
5. Diskussion of results.
go to the image part fefs to study the 10 image pages and the content.


Image part fegs in English or fggs in German.
Title: CIEXYZ and LABJND data of Yellow-Blue-YB and Green-Magenta-GM 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 observer, CIEXYZ, LABJND, and CIELAB data;
4. YABCabh1&2 data, wavelength lambda(1,2,d,c) of Ostwald colours;
5. Definition of wavelength lambda1 (feg0 to feg3);
6. Definition of wavelength lambda1 and lambda2 (feg4 to feg9);
7. Performance of the calculation of lambda(2,d,c);
8. Application for the four elemetary colours RJGBe.
go to the image part fegs to study the 10 image pages and the content.


Image part fehs in English or fghs in German.
Title: CIEXYZ and LABJND data of Yellow-Blue-YB and Green-Magenta-GM 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 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 (feh0 to feh3);
6. Definition of wavelength lambda1 and lambda2 (feh4 to feh9);
7. Performance of the calculation of lambda(2,d,c);
8. Application for the four elemetary colours RJGBe.
go to the image part fehs to study the 10 image pages and the content.


Image part feis in English or fgis in German.
Title: 1080 colours and flower image for grids 2g, 2o, and 2e with devive (d) or elementary (e) output
without (0) or with image (i) for eight ambient reflections according to ISO 9241-306

1. Introduction and goals;
2. 1080 colours according to ISO 9241-306;
3. Flower image according to ISO 9241-306, and ISO/IEC 15775;
4. Change of Gamma gP in 8 steps according to ISO 9241-306;
5. Equal Gamma change for colour samples and flower image;
6. Applications for an ergonomic image technology for the consumer area.
go to the image part feis to study the 10 image pages and the content.


Image part fejs in English or fgjs in German.
Title: Colour metrics for light and colour as function of the relative luminance L/Lu (Lu=surround luminance)
Experimental data and model functions Fab(xr).

1. Introduction and goals.
2. Experimental data from a book for xr=log(L/Lu);
3. Response functions Q/Fab[e^(xr/a) or 10^(xr/a')] with a'=a ln(10).
4. Derivations of the response functions for luminance discrimination.
go to the image part fejs to study the 10 image pages and the content.


Image part feks in English or fgks in German.
Title: Visual and colourimetric properties for the HDR range;
Changes SDR <-> HDR for 1080 colours and the flower image for the devive (d) output,
and with image (i) for eight ambient reflections according to ISO 9241-306

1. Introduction and goals;
2. Some colourimetric properties for the range High Dynamic Range (HDR);
3. Changes SDR <-> HDR for 1080 colours according to ISO 9241-306;
4. Flower image according to ISO 9241-306, and ISO/IEC 15775;
5. Change of Gamma gP in 8 steps according to ISO 9241-306;
6. Equal Gamma change for colour samples and flower image;
7. Applications for an ergonomic image technology for the consumer area.
go to the image part feks to study the 10 image pages and the content.


Image part fels in English or fgls in German.
Title: 1080 colours and two HDR images for eight parameters with devive (d) or elementary (e) output
without (0) or with image (i) for eight ambient reflections according to ISO 9241-306

1. Introduction and goals;
2. 1080 colours according to ISO 9241-306;
3. Two HDR images with many high (h) and low (l) image parts;
4. Equal Gamma change gP and gN of colour samples and the images in 8 steps according to ISO 9241-306;
5. Gamma-range reduction with parameter GammaR only for colour samples towards 90% and 80% with stativ (s) colour image;
6. Applications for an ergonomic image technology for the consumer area.
go to the image part fels to study the 10 image pages and the content.


Image part fems in English or fgms in German.
Title: Frame-File PS-Code (FF_PS) and Frame-File Colour-Management (FF-CM)
Application of the PS steering for DIN 33872-1 to 6, and ISO 9241-306
Experimental colour thresholds results, CIEXYZ, CIELAB, and rgb* data
in the SDR/HDR range of +0, +1, and +2 stop over exposure

1. Introduction and goals.
2. Frame-File PS-Code (FF_PS) and Frame-File Colour-Management (FF-CM).
3. Application of Frame-File Colour-Management (FF-CM) on test charts according to DIN 33872-1 to 6 and ISO 9241-306.
4. Experimental results: linear and logarithmic relative lightness L* and contrast L/deltaL.
5. Reflection of surface colours Re, Ye, Ge, Be with elementary hue, and with a white feet (3,6%).
6. Table data CIEXYZxy, CIELAB and rgb* for colours of +0, +1, and +2 over exposure.
7. Discussion.
go to the image part fems to study the 10 image pages and the content.


Image part fens in English or fgns in German.
Title: Antagonistic colorimetric properties of the Ostwald-optimal
colours, CIE & TUB-colour metric and cone sensitivities

1. Introduction and goals.
2. Ostwald-optimal colours for 2 illuminants and 2 observers.
3. TUB-model: linear and logarithmic sesitivities and saturation for L and M cones.
4. Linear and logarithmic sesitivities for L and M cones according to CIE 15 and CIE 170.
5. Three set of display colours in (x, y) and (A2, B2) for colours of Ostwald, sRGB, WCGa according to ISO 22028-5 for Yw=100 and 90.
6. Table data CIEXYZxy, CIELAB, TUBLAB2 for colours of Ostwald, sRGB, WCGa according to ISO 22028-5 for Yw=100 and 90.
7. Discussion.
go to the image part fens to study the 10 image pages and the content.


Image part feos in English or fgos in German.
Title: Colourimetric logarithmic and potential scaling functions
of achromatic colours between black N and white W,
for different contrast and luminance ranges according to
ISO/IEC 15775:2023, ISO 9241-306:2018, ISO 22028-5:2023,
ITU_R BT.2100-2:2018, and ITU-R BT.2390-10:2021.

1. Introduction and goals.
2. Colourimetric goal: Equal relative luminance and equal chromaticity
of the photographic scene and the display reproduction;
3. Usual Y-contrast range W:N=90:3,6=25:1 for surface colours
and W:N=100:4=25:1 for display colous;
4. The display luminance measured in cd/m^2 is proportional to the
CIE tristimulus value Y according to ISO/CIE 11664-2;
5. Comparison of office luminances L of surface and display colours;
6. Coding and inverse coding of Y and RGB values, and for relative luminance L;
7. Example colour spaces TUBLOG_U, CIELAB_W, CIELAB_U, IECsRGB_W,
ITUsRGB_W normalized to Grey U or White W, or Peak White P2;
8. Equal reproduction of relatice luminance and chromaticity between scene
input and display output for the corresponding coding and inverse coding
of the above colourimetric spaces;
9. Proposal to use the colourimetric space TUBLOG_U for coding
and inverse coding with 33%-HDR room for light colours and
67%-SDR room for surface colours.
10. Discussion
go to the image part feos to study the 10 image pages and the content.


Image part feps in English or fgps 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 feps to study the 10 image pages and the content.


Image part feqs in English or fgqs 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 feqs to study the 10 image pages and the content.


Image part fers in English or fgrs 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 fers to study the 10 image pages and the content.


Image part fess in English or fgss in German.
Title: Adjacent and separate colour samples for interval scaling and Gamma calculation;
Evaluation example and evaluation of colour steps of the series WRGBCMY-N und RGB-W with 3 or 5 of 17 steps.

1. Introduction and goals.
2. 3, 5 or 9-step intervall scaling;
3. Advantages and disadvantages of the part and complete scaling;
4. Calculation of visual Gamma for 33 grey steps and of the inverse Gamma;
5. Applications and discussion.
Remarks: For the 3 or 5-step similar scaling see the serie fets.htm.
For the 5 or 9-step similar scaling see the serie feys.htm.
go to the image part fess to study the 10 image pages and the content.


Image part fets in English or fgts in German.
Title: Adjacent and separate colour samples for interval scaling;
Evaluation example and evaluation of colour steps of the series WRGBCMY-N und RGB-W with 3 or 5 of 17 steps.

1. Introduction and goals.
2. 3 or 5-step intervall scaling;
3. Advantages and disadvantages of the part and complete scaling;
4. Calculation of visual Gamma and of the inverse Gamma;
5. Applications and discussion.
Remarks: For the 5 or 9-step similar scaling see the serie feys.htm.
For many 3-step examples, and a W-U-N example with 33 steps see fess.htm.
go to the image part fets to study the 10 image pages and the content.


Image part feus in English or fgus in German.
Title: Relative colour reproduction; Transformation of:
relative chroma c* with 5 steps, and 1080 colours of the
ISO-test charts according to ISO 9241-306.

1. Introduction and goals.
2. Relative colour reproduction; transformation of relative chroma c*;
3. Six device hues rygcbmd, and 16 device hues without and with rgb data;
4. 1080 colours of the test charts G and the opponent test chart O;
5. Colour definitons (rgbd, cmyk)d and equivalent grey definitions (000n, w, nnn0, www)d;
6. Colour separations cmy0d of the rgbd-input data and of the cmy0d-input data.
7. Discussion
go to the image part feus to study the 10 image pages and the content.


Image part fevs in English or fgvs in German.
Title: Relative colour reproduction; Transformation of:
relative chroma c* with 5 steps, and 1080 colours of the
ISO-test charts according to ISO 9241-306.

1. Introduction and goals.
2. Relative colour reproduction; transformation of relative chroma c*;
3. Six device hues rygcbmd, and 16 device hues without and with rgb data;
4. 1080 colours of the test charts G and the opponent test chart O;
5. Colour definitons (rgbd, cmyk)d and equivalent grey definitions (000n, w, nnn0, www)d;
6. Colour separations cmy0d of the rgbd-input data and of the cmy0d-input data.
7. Discussion
go to the image part fevs to study the 10 image pages and the content.


Image part fews in English or fgws in German.
Title: Flower motif and 1080 display colours according to 9241-306 for display ranges N-W und N-P2;
Three, 5, 9, 17, and 33 grey and colour steps as reference colours for the luminance range of SDR and HDR displays

1. Introduction and goals;
2. PDF-files with 1080 reference colours according to ISO 9241-306;
3. Gamma change gP in 16 steps according to ISO 9241-306;
4. Test files with 3, 5, 9, 17, and 33 colour and grey steps;
5. Change of sRGB-pdf files for the display range HDR;
6. Determination of visual Gamma with 3, 5, 9, 17, and 33 colour steps;
7. Specifiction of the image quality with the regularity index g* according to ISO/IEC 15775;
8. Increase of the image quality with colourimetric or visual Gamma;
9. Applications for an ergonomic image technology for the consumer area.
go to the image part fews to study the 10 image pages and the content.


Image part fexs in English or fgxs in German.
Title: 1080 display coplours for the SDR and HDR range;
Different Gamma for large and small image
for 16 ambient reflections accoprding to ISO 9241-306

1. Introduction and goals;
2. 1080 colours according to ISO 9241-306;
3. Gamma change gP for 9 and 17 steps according to ISO 9241-306;
4. Extention of the sRGB files for the display range HDR;
5. Determination of visual Gamma for the HDR-white range P2-W with 9 and 17 colour steps;
6. Applications for an ergonomic image technology for the consumer area.
Remark: For newer and similar test charts see gems.htm.
go to the image part fexs to study the 10 image pages and the content.


Image part feys in English or fgys in German.
Title: Adjacent and separate colour samples for interval scaling;
Evaluation example and evaluation of colour steps of the series WRGBCMY-N und RGB-W with 3 or 5 of 17 steps.

1. Introduction and goals;
2. 5 or 9-step intervall scaling;
3. Advantages and disadvantages of the part and complete scaling;
4. Calculation of visual Gamma and of the inverse Gamma;
5. Applications and discussion.
Remark: For the 3 or 5-step similar scaling see the serie fets.htm.
For many 3-step examples, and a W-U-N example with 33 steps see fess.htm.
go to the image part feys to study the 10 image pages and the content.


Image part fezs in English or fgzs in German.
Title: Special test images
Only for the development and maintenance of this web site.
1. Introduction and goals;
2. This image part has no colourimetric content.
go to the image part fezs 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.