File:ColorVSspectrum.webm

Uploaded by Berto
Upload date 2024-05-28T11:15:55Z
MIME type video/webm
Dimensions 728 × 306 px
File size 197.0 KB

Summary

Description
English: The human eyes have "only" 3 different colour receptors, so multiple spectra can be perceived as the same colour.
Date
Source https://mathstodon.xyz/@j_bertolotti/112513527893709299
Author Berto
Permission
(Reusing this file)
https://mathstodon.xyz/@j_bertolotti/111363365323269417

Mathematica 14.0 code

path = "path to where you saved the color matching functions";
LMS = Import[ path <> "/LMS.dat"]; (*All color matching functions downloaded from www.cvrl.org*)
Lr = LMS[[All, 1 ;; 2]];
Mr = LMS[[All, 1 ;; 3 ;; 2]];
Sr = LMS[[All, 1 ;; 4 ;; 3]];
{\[Lambda], X, Y, Z} = Transpose@Import[path <> "/XYZ-color_matching.dat"];
rgbcolor[spectrum_] := ColorConvert[({X, Y, Z} . spectrum), "XYZ" -> "RGB"];
\[Lambda]sampled = \[Lambda][[1 ;; -1 ;; 10]];
spectrum[coefficients_] := N[(Sum[coefficients[[j]]*E^(-((# - \[Lambda]sampled[[j]])^2/(2. (5)^2))), {j, 1, Dimensions[\[Lambda]sampled][[1]]}] &) /@ \[Lambda]];
plot[coefficients_] := Grid[{{Show[
     ListPlot[{Lr, Mr, Sr}, PlotStyle -> {Red, Green, Blue}, Joined -> True, Axes -> {True, False}, Frame -> False, AxesLabel -> {"\[Lambda]", ""}, LabelStyle -> {FontSize -> 14, Bold, Black}, PlotRange -> All]
     ,
     Graphics[{FontSize -> 14, Blue, Text[Style["S", Bold], {465, 0.95}], Green, Text[Style["M", Bold], {515, 0.95}], Red, Text[Style["L", Bold], {610, 0.95}]}]
     ,
     ListPlot[Transpose[{\[Lambda], spectrum[coefficients]}], PlotStyle -> Black, Joined -> True, PlotRange -> All], PlotRange -> All, ImageSize -> Medium]
    ,
    Graphics[{rgbcolor[0.25*spectrum[coefficients]], Disk[], Black, 
      Thick, Circle[]}]
    }}]
plot1[k_] := Grid[{{Show[
      ListPlot[{Lr, Mr, Sr}, PlotStyle -> {Red, Green, Blue}, Joined -> True, Axes -> {True, False}, Frame -> False, AxesLabel -> {"\[Lambda]", ""}, LabelStyle -> {FontSize -> 14, Bold, Black}, PlotRange -> All]
      ,
      Graphics[{FontSize -> 14, Blue, Text[Style["S", Bold], {465, 0.95}], Green, Text[Style["M", Bold], {515, 0.95}], Red, Text[Style["L", Bold], {610, 0.95}]}]
      ,
      ListPlot[ Transpose[{\[Lambda], Table[If[j == k, 1, 0], {j, 1, Dimensions[\[Lambda]][[1]]}]}], PlotStyle -> Black, Joined -> True, PlotRange -> All]
      , PlotRange -> All, ImageSize -> Medium]
     ,
     Graphics[{rgbcolor[ Table[If[j == k, 1, 0], {j, 1, Dimensions[\[Lambda]][[1]]}]], Disk[], Black, Thick, Circle[]}]
     }}];
frames0 = Grid[{{Show[
      ListPlot[{Lr, Mr, Sr}, PlotStyle -> {Red, Green, Blue}, Joined -> True, Axes -> {True, False}, Frame -> False, AxesLabel -> {"\[Lambda]", ""}, LabelStyle -> {FontSize -> 14, Bold, Black}, PlotRange -> All]
      ,
      Graphics[{FontSize -> 14, Blue, Text[Style["S", Bold], {465, 0.95}], Green, Text[Style["M", Bold], {515, 0.95}], Red, Text[Style["L", Bold], {610, 0.95}]}]
      ,
      ListPlot[ Transpose[{\[Lambda], ConstantArray[0, Dimensions[\[Lambda]][[1]]]}], PlotStyle -> Black, Joined -> True, PlotRange -> All]
      , PlotRange -> All, ImageSize -> Medium]
     ,
     Graphics[{Black, Disk[], Black, Thick, Circle[]}]
     }}];
frames1 = Table[plot1[k], {k, 1, Dimensions[\[Lambda]][[1]], 2}];
sinstep[t_] := Sin[\[Pi]/2 t]^2;
frames2 = Table[plot[Table[If[j == 5 || j == 10 || j == 25, 0.5*sinstep[t], 0], {j, 1, 45}]], {t, 0, 1, 0.05}];
spectrlets = Table[{X, Y, Z} . (spectrum@Table[If[j == k, 1, 0], {j, 1, 45}]), {k, 1, 45}];
spectrum2[k_] := Module[{tmp}, tmp = ConstantArray[0, 45]; tmp[[1]] = 1; Return[RotateRight[tmp, k - 1]]];
frames3 = Table[plot[0.5*coefficients2], {t, 0, 1.5, 0.01}];
t = 1.5;
frames4 = Table[plot[a*coefficients2], {a, 0, 0.5, 0.05}];
ListAnimate[ Join[Table[frames0, {5}], Reverse[frames1[[1 ;; -1 ;; 2]]], Table[frames0, {5}], Table[frames2[[1]], {5}], frames2, Table[frames2[[-1]], {5}], frames3, Reverse[frames4]  ] ]

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Captions

The human eyes have "only" 3 different colour receptors, so multiple spectra can be perceived as the same colour.

Items portrayed in this file

depicts

27 May 2024

201,677 byte

20.934 second

306 pixel

728 pixel

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f9dbb61f2d325c915f9072b223fc8289e24faa3c

Category:CC-Zero Category:Color vision Category:Images with Mathematica source code Category:Self-published work Category:Spectrum