250128 'HNAX' http://farbe.li.tu-berlin.de/hea_i.htm or http://color.li.tu-berlin.de/hea_i.htm.
'HNAX':@PROZ_HEA_I.COM format: 'dmyy'LINKSEA_H.HTM
Go to this page in German hga_i.htm
Chapter A:
Colour Image Technology and Colour Management (2019)
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)
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)
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)
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)
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)
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 (2024b)
Content list:
gea_i in English or
gga_i in German.
Image pages with 10 and 260 image series:
geas
ge2s in English or
ggas,
gg2s in German.
Chapter H:
SDR and HDR-colour metric for optimal colour-image quality (2025)
Content list:
hea_i in English or
hga_i in German.
Image pages with 10 (and 260, under work) image series:
heas
he2s in English or
hgas,
hg2s in German.
Chapter I:
Output linearization of visual data for scaling and thresholds (2025b)
, under work
Content list:
iea_i in English or
iga_i in German.
Image pages with 10 (and 260, under work) image series:
ieas
ie2s in English or
igas,
ig2s in German.
Remarks:
Any large image file with 260 pages, for example
he2s.htm,
can be printed as image series.
Also the content can be saved as a pdf file for any of the chapters A to H.
In addition a download of the corresponding pdf file, for example
he2s.pdf (about 150MB) is possible.
Project title: Colour and colour vision with Ostwald, device, and elementary colours -
Antagonistic colour-vision model TUBJND and properties for many applications
Chapter H: SDR and HDR-colour metric for optimal colour-image quality (2025),
Main part hea_i, under work
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 heas
in English or hgas in German.
Title: CIELAB and IECsRGB colourimetry and colour appearance
adjacent and separate 9 step grey scales.
production of visual equidistant grey steps
1. Introduction and goals;
2. CIELAB snd IECsRGB colourimetry and colour appearance;
3. Adjacent and separate 9 step grey scales;
4. Production of visual equidistant grey steps;
5. Application of visual evaluations with software products;
6. Applications and discussion.
go to the image part heas
to study the 10 image pages and the content.
Image part hebs
in English or hgbs in German.
Title: Colour metrics according to the Fab(xr) and Qab(xr) models
of colour vision
Special colourimetric properties of colour-image technology
Comparison of colour difference formulae CIELAB, CIEDE2000 and LABJND
1. Introduction and goals.
2. Colour metrics according to the Fab(xr) and Qab(xr) models of
colour vision;
3. Special colourimetric properties of colour-image technology;
4. Comparison of colour difference formulae CIELAB, CIEDE2000 and LABJND
according to CIE 230:2019;
5. Application and discussion.
go to the image part hebs
to study the 10 image pages and the content.
Image part hecs
in English or hgcs in German.
Title: EPS-example codes of EPS images; EPS codes FLVGL and FLVLF
Special colourimetric properties of colour-image technology
Lightness, threshold, sensitivity and contrast according to
colour-difference formulae
LABJND, CIELAB, IECsRGB, and TUBsRGB as function of relative luminance
1. Introduction and goals.
2. EPS-example codes of EPS images; EPS codes Global FLVGL and Local FLVLF;
3. Special colourimetric properties of colour-image technology;
4. Calculations with colour difference formulae LABJND according to CIE 230:2019,
CIELAB according to ISO/CIE 11664-4, IECsRGB according to IEC 61966-2-1, and
TUBsRGB similar IECsRGB;
5. Lightness L*, threshold deltaY, sensitivity deltaY/Y, and
contrast Y/deltaY, all normalized to mean grey U as function
of relative luminance (ln, log, and lin output);
6. Application and discussion.
go to the image part hecs
to study the 10 image pages and the content.
Image part heds
in English or hgds in German.
Title: Experimental colourimetry and colour appearance
adjacent and separate 9 step grey scales.
production of visual equidistant grey steps
1. Introduction and goals;
2. Experimental colourimetry and colour appearance;
3. Adjacent and separate 9 step grey scales;
4. Production of visual equidistant grey steps;
5. Application of visual evaluations with software products;
6. Applications and discussion.
go to the image part heds
to study the 10 image pages and the content.
Image part hees
in English or hges in German.
Title: Experimental colourimetry and colour appearance
adjacent and separate 9 step grey scales.
production of visual equidistant grey steps
1. Introduction and goals;
2. Experimental colourimetry and colour appearance;
3. Adjacent and separate 9 step grey scales;
4. Production of visual equidistant grey steps;
5. Application of visual evaluations with software products;
6. Applications and discussion.
go to the image part hees
to study the 10 image pages and the content.
Image part hefs
in English or hgfs in German.
Title: Experimental colourimetry and colour appearance
adjacent and separate 9 step grey scales.
production of visual equidistant grey steps
1. Introduction and goals;
2. Experimental colourimetry and colour appearance;
3. Adjacent and separate 9 step grey scales;
4. Production of visual equidistant grey steps;
5. Application of visual evaluations with software products;
6. Applications and discussion.
go to the image part hefs
to study the 10 image pages and the content.
Image part hegs
in English or hggs in German.
Title: Experimental equal grey scaling of two series N-W
Interval scaling of tone mapping at display work places
Grey differences and production of equal differences
for adjacent and separate 3, 5, and 9 step grey scales
1. Introduction and goals;
2. Experimental equal colour-tone mapping,
two series N-W (G0-G4 and G5-G9);
3. Adjacent and separate 3, 5, and 9 step scales;
4. Evaluation of spacing and production of visual equidistant steps;
5. Applications with software products and discussion.
go to the image part hegs
to study the 10 image pages and the content.
Image part hehs
in English or hghs in German.
Title: Experimental equal colour scaling of two series N-R and N-G
Interval scaling of tone mapping at display work places
Colour differences and production of equal differences
for adjacent and separate 3, 5, and 9 step colour scales
1. Introduction and goals;
2. Experimental equal colour-tone mapping,
two series N-R (H0-H4), N-G (H5-H9);
3. Adjacent and separate 3, 5, and 9 step scales;
4. Evaluation of spacing and production of visual equidistant steps;
5. Applications with software products and discussion.
go to the image part hehs
to study the 10 image pages and the content.
Image part heis
in English or hgis in German.
Title: Experimental equal colour scaling of two series N-B and N-C
Interval scaling of tone mapping at display work places
Colour differences and production of equal differences
for adjacent and separate 3, 5, and 9 step colour scales
1. Introduction and goals;
2. Experimental equal colour-tone mapping,
two series N-B (I0-I4), N-C (I5-I9);
3. Adjacent and separate 3, 5, and 9 step scales;
4. Evaluation of spacing and production of visual equidistant steps;
5. Applications with software products and discussion.
go to the image part heis
to study the 10 image pages and the content.
Image part hejs
in English or hgjs in German.
Title: Experimental equal colour scaling of two series N-M and N-Y
Interval scaling of tone mapping at display work places
Colour differences and production of equal differences
for adjacent and separate 3, 5, and 9 step colour scales
1. Introduction and goals;
2. Experimental equal colour-tone mapping,
two series N-M (J0-J4), N-Y (J5-J9);
3. Adjacent and separate 3, 5, and 9 step scales;
4. Evaluation of spacing and production of visual equidistant steps;
5. Applications with software products and discussion.
go to the image part hejs
to study the 10 image pages and the content.
Image part heks
in English or hgks in German.
Title: Experimental equal colour scaling of two series R-W and G-W
Interval scaling of tone mapping at display work places
Colour differences and production of equal differences
for adjacent and separate 3, 5, and 9 step colour scales
1. Introduction and goals;
2. Experimental equal colour-tone mapping,
two series R-W (K0-K4), G-W (K5-K9);
3. Adjacent and separate 3, 5, and 9 step scales;
4. Evaluation of spacing and production of visual equidistant steps;
5. Applications with software products and discussion.
go to the image part heks
to study the 10 image pages and the content.
Image part hels
in English or hgls in German.
Title: Experimental equal colour scaling of two series B-W and C-W
Interval scaling of tone mapping at display work places
Colour differences and production of equal differences
for adjacent and separate 3, 5, and 9 step colour scales
1. Introduction and goals;
2. Experimental equal colour-tone mapping,
two series B-W (L0-L4), C-W (L5-L9);
3. Adjacent and separate 3, 5, and 9 step scales;
4. Evaluation of spacing and production of visual equidistant steps;
5. Applications with software products and discussion.
go to the image part hels
to study the 10 image pages and the content.
Image part hems
in English or hgms in German.
Title: Experimental equal colour scaling of two series M-W and Y-W
Interval scaling of tone mapping at display work places
Colour differences and production of equal differences
for adjacent and separate 3, 5, and 9 step colour scales
1. Introduction and goals;
2. Experimental equal colour-tone mapping,
two series M-W (M0-M4), Y-W (M5-M9);
3. Adjacent and separate 3, 5, and 9 step scales;
4. Evaluation of spacing and production of visual equidistant steps;
5. Applications with software products and discussion.
go to the image part hems
to study the 10 image pages and the content.
Image part hens
in English or hgns in German.
Title: Special colourimetric properties of colour-image technology
Calculations with the colour formula HAULAB in a wide range of
sample-viewing angle, and test and adaptation luminance
1. Introduction and goals.
2. Special colourimetric properties of colour-image technology
for test samples of 4 viewing angles in white surrounds of 4 luminances;
3. Calculations with colour formulae HAULAB according to Haubner (1980);
4. Calculations for test samples with viewing angles 120' (2 degree), 60',
30', and 10' in a white surround of 180 degree;
5. Calculations for test samples in surrounds with the luminances
300, 1000, 200, and 40cd/m^2;
6. Calculation of log and lin [lightness L*, treshold delta_Y,
sensitivity delta_Y/Y, contrast Y/delta_Y];
6. Application and discussion.
go to the image part hens
to study the 10 image pages and the content.
Image part heos
in English or hgos in German.
Title: Special colourimetric properties of colour-image technology
Calculations with colour-difference formulae
LABJND, CIELAB, IECsRGB, and TUBsRGB
1. Introduction and goals.
2. Special colourimetric properties of colour-image technology;
3. Calculations with colour-difference formulae
a. LABJND according to CIE 230:2019;
b. CIELAB according to (ISO/CIE 11664-4);
c. IECsRGB according to (IEC 61966-2-1);
d. TUBsRGB 2025, see https://colour.li.tu-berlin.de;
4. Calculation of log and lin [lightness L*, treshold delta_Y,
sensitivity delta_Y/Y, contrast Y/delta_Y]#w";
6. Application and discussion.
go to the image part heos
to study the 10 image pages and the content.
Image part heps
in English or hgps in German.
Title: Special colourimetric properties of colour-image technology
Calculations with colour-difference formulae
HAULAB, CIELAB, IECsRGB, and TUBsRGB
1. Introduction and goals.
2. Special colourimetric properties of colour-image technology;
3. Calculations with colour-difference formulae
a. HAULAB, experiments of Haubner, P,. Bodmann, and Marsden
Siemens Forsch. u. Entwickl-Ber. 9 (1980), 315-318;
b. CIELAB according to (ISO/CIE 11664-4);
c. IECsRGB according to (IEC 61966-2-1);
d. TUBsRGB 2025, see https://colour.li.tu-berlin.de;
e. HAULAB 1980, as function of viewing angle and adaptation luminance;
4. Calculation of log and lin [lightness L*, treshold delta_Y,
sensitivity delta_Y/Y, contrast Y/delta_Y]#w";
6. Application and discussion.
go to the image part heps
to study the 10 image pages and the content.
Image part heqs
in English or hgqs in German.
he ser W.
Title: Scaling and thresholds; output linearization
of 9 step colour scales N-WRGBYCM and RGBYCM-W
1. Introduction and goals.
2. Adjacent and separate colour samples of different size.
3. Output linearization and threshold of the 9 step colour series
N-YCM and RGBYCM-W.
4. Special output linearization for the series Black N - White W.
5. Applications for an ergomomic output for the consumer area.
go to the image part heqs
to study the 10 image pages and the content.
Image part hers
in English or hgrs in German.
Title: Visual and colourimetric properties for the SDR and HDR range;
Model for visual responses and optimizations
1. Introduction and goals.
2. Some colourimetric properties for the Standard Dynamic Range (SDR),
and the High Dynamic Range (HDR).
3. Adjacent nd separate colour sample of different size.
4. Output linearization and threshold of the 9 step colour series
N-WRGB.
5. Applications for an ergonomic image technology
for the consumer area.
go to the image part hers
to study the 10 image pages and the content.
Image part hess
in English or hgss in German.
Title: Special colourimetric properties of colour-image technology
Calculations with colour-difference formulae HAULAB (1980)
for different viewing angles phi and test luminances LT
1. Introduction and goals.
2. Special colourimetric properties of colour-image technology;
3. Calculations with colour-difference formula as table
HAULAB, experiments of Haubner, P,. Bodmann, and Marsden
Siemens Forsch. u. Entwickl-Ber. 9 (1980), 315-318;
4. Brightness for different viewing angles phi and test luminances LT;
5. Changes for white adaptation luminances between 1500 and 3 cd/m^2;
6. Application and discussion.
go to the image part hess
to study the 10 image pages and the content.
Image part hets
in English or hgts in German.
Title: Special colourimetric properties of colour-image technonoly
compared to TUBsRGB 2025
Calculations with colour-difference formulae
LABJND, CIELAB, IECsRGB, TUBsRGB, and HAULAB
1. Introduction and goals.
2. Special colourimetric properties of colour-image technology;
3. Calculations with colour-difference formulae
a. LABJND according to CIE 230:2019;
b. CIELAB according to (ISO/CIE 11664-4);
c. IECsRGB according to (IEC 61966-2-1);
d. TUBsRGB 2025, see https://colour.li.tu-berlin.de;
e. HAULAB 1980: 4 adaptation luminances L=300, 1000, 200, 40 cd/m^2;
f. HAULAB 1980: 4 viewing angles phi=120', 60', 30', 20';
4. Calculation of log and lin [lightness L*, treshold delta_Y,
sensitivity delta_Y/Y, contrast Y/delta_Y]#w";
6. Application and discussion.
go to the image part hets
to study the 10 image pages and the content.
Image part heus
in English or hgus in German.
Title: TUBJND colour vison model: Receptor-response functions Fab(xr)
and derivations F'ab(xr) for different parameters a,b;
Calculations and plots for the colour-difference formula HAULAB
for four adaptation luminances and four viewing angles
1. Introduction and goals.
2. TUBJND colour vison model: receptor-response functions Fab
and derivations F'ab for different parameters a,b.
3. Antagonistic functions Fab and F'ab without a shift.
4. Calculations with the colour-difference formula HAULAB 1980
for 4 adaptation luminances L=300, 1000, 200, 40 cd/m^2
and 4 viewing angles phi=120', 60', 30', 20'/10'.
5. Calculation of log and lin [lightness L*, threshold delta_Y,
sensitivity delta_Y/Y, contrast Y/delta_Y].
6. Application and discussion.
go to the image part heus
to study the 10 image pages and the content.
Image part hevs
in English or hgvs in German.
Title: TUBJND colour vison model: Receptor-response functions Fab(xr)
and derivations F'ab(xr) for different parameters a,b;
Calculations and plots for the colour-difference formula HAULAB
for four adaptation luminances and four viewing angles
1. Introduction and goals.
2. TUBJND colour vison model: receptor-response functions Fab
and derivations F'ab for different parameters a,b.
3. Antagonistic functions Fab and F'ab without a shift.
4. Calculations with the colour-difference formula HAULAB 1980
for 4 adaptation luminances L=300, 1000, 200, 40 cd/m^2
and 4 viewing angles phi=120', 60', 30', 20'/10'.
5. Calculation of log and lin [lightness L*, threshold delta_Y,
sensitivity delta_Y/Y, contrast Y/delta_Y].
6. Application and discussion.
go to the image part hevs
to study the 10 image pages and the content.
Image part hews
in English or hgws in German.
Title: TUBJND colour vison model: Receptor-response functions Fab(xr)
and derivations F'ab(xr) for different parameters a,b;
Calculations and plots for the colour-difference formula HAULAB
for four adaptation luminances and four viewing angles
1. Introduction and goals.
2. TUBJND colour vison model: receptor-response functions Fab
and derivations F'ab for different parameters a,b.
3. Antagonistic functions Fab and F'ab with a 0,5-shift.
4. Calculations with the colour-difference formula HAULAB 1980
for 4 adaptation luminances L=300, 1000, 200, 40 cd/m^2
and 4 viewing angles phi=120', 60', 30', 20'/10'.
5. Calculation of log and lin [lightness L*, threshold delta_Y,
sensitivity delta_Y/Y, contrast Y/delta_Y].
6. Application and discussion.
go to the image part hews
to study the 10 image pages and the content.
Image part hexs
in English or hgxs 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 Q/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. Deviations of the response functions for luminance discrimination.
5. Antichromatic models of colour vision.
6. Receptor sensitivity for achromatic colours.
7. Logarithmic and linear models for combinations of the sensitivities.
for further information and discussion,
see DEAI.
go to the image part hexs
to study the 10 image pages and the content.
Image part heys
in English or hgys in German.
Title: Colour metrics according to the Fab(xr), Qab(xr), and Pab(xr) models
of colour vision
TUBJND colour vison model: Receptor-response functions Fab/Qab/Pab and
derivations F'ab/Q'ab/P'ab for different parameters a,b.
1. Introduction and goals.
2. Colour metrics according to the Fab(xr), Qab(xr), and Pab(xr) models of
colour vision.
3. TUBJND colour vison model: receptor-response functions Fab and
derivations F'ab for different parameters a,b.
4. Response functions Q/Fab[e^(xr/a) or 10^(xr/a')] with
a'=a ln(10).
5. Derivations of the response functions for luminance discrimination.
6. Application and discussion.
go to the image part heys
to study the 10 image pages and the content.
Image part hezs
in English or hgzs 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.
3. An exception is hez(7,8,9).htm.
go to the image part hezs
to study the 10 image pages and the content.
-------
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.