colour-maps.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Colour maps\n",
    "\n",
    "Here are the colour maps used in the paper."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Colors\n",
    "using ColorSchemes\n",
    "using Images\n",
    "using Statistics\n",
    "#using Pkg\n",
    "#Pkg.add(PackageSpec(url=\"https://github.com/RobBlackwell/Parula.jl.git\"))\n",
    "#Pkg.add(PackageSpec(url=\"https://github.com/EchoJulia/EchogramColorSchemes.jl.git\"))\n",
    "using Parula\n",
    "using EchogramColorSchemes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
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   "source": [
    "ColorSchemes.viridis"
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  {
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   "source": [
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   "cell_type": "code",
   "execution_count": 37,
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      "text/plain": [
       "ColorScheme{Vector{RGB{Float64}}, String, String}(RGB{Float64}[RGB{Float64}(0.9942936149611202,0.930327795323208,0.6910969022498408), RGB{Float64}(0.9938034737629607,0.9248067799917484,0.6856470896792072), RGB{Float64}(0.9932915386396505,0.919299374769053,0.6802308895677182), RGB{Float64}(0.9927922245331627,0.9137917294903226,0.6748329403835298), RGB{Float64}(0.9922937701498861,0.9082882194233707,0.6694590190525576), RGB{Float64}(0.9917843550306121,0.9027933977435593,0.6641148019075449), RGB{Float64}(0.9912962746539998,0.8972938428980344,0.6587860434151367), RGB{Float64}(0.9907825925330568,0.8918085346471608,0.6534941055176842), RGB{Float64}(0.9902949549053172,0.8863158938146131,0.6482161486636766), RGB{Float64}(0.9897868190815676,0.8808350065840213,0.6429731121246739)  …  RGB{Float64}(0.22974485429112435,0.07090635374932228,0.2734830227534651), RGB{Float64}(0.22474604355451955,0.0697343048702469,0.2701981884636781), RGB{Float64}(0.21976179144933672,0.0685259925198044,0.26688758887278374), RGB{Float64}(0.21478768714283408,0.06728630515821912,0.263551482229945), RGB{Float64}(0.2098235281541685,0.06601485651366462,0.26019055850201595), RGB{Float64}(0.2048690954628697,0.0647112448057679,0.25680549144898185), RGB{Float64}(0.19993023373401114,0.06336777961956377,0.25339802823103286), RGB{Float64}(0.19500160024612118,0.061990205931648286,0.24996804552033358), RGB{Float64}(0.1900821894571196,0.06057894133574073,0.2465160535125), RGB{Float64}(0.18517171283533682,0.05913348735199072,0.2430426744218359)], \"cmocean\", \"yellow through orange and purple to black\")"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ColorSchemes.matter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
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      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "viridis12 = ColorScheme(ColorSchemes.viridis.colors[1:23:end])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
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       "ColorScheme{Vector{RGB{Float64}}, String, String}(RGB{Float64}[RGB{Float64}(0.2422,0.1504,0.6603), RGB{Float64}(0.2504,0.165,0.7076), RGB{Float64}(0.2578,0.1818,0.7511), RGB{Float64}(0.2647,0.1978,0.7952), RGB{Float64}(0.2706,0.2147,0.8364), RGB{Float64}(0.2751,0.2342,0.871), RGB{Float64}(0.2783,0.2559,0.8991), RGB{Float64}(0.2803,0.2782,0.9221), RGB{Float64}(0.2813,0.3006,0.9414), RGB{Float64}(0.281,0.3228,0.9579)  …  RGB{Float64}(0.997,0.7659,0.2199), RGB{Float64}(0.9952,0.7893,0.2028), RGB{Float64}(0.9892,0.8136,0.1885), RGB{Float64}(0.9786,0.8386,0.1766), RGB{Float64}(0.9676,0.8639,0.1643), RGB{Float64}(0.961,0.889,0.1537), RGB{Float64}(0.9597,0.9135,0.1423), RGB{Float64}(0.9628,0.9373,0.1265), RGB{Float64}(0.9691,0.9606,0.1064), RGB{Float64}(0.9769,0.9839,0.0805)], \"Parula\", \"From MATLAB\")"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Parula.parula"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
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       "ColorScheme{Vector{RGB{N0f8}}, String, String}(RGB{N0f8}[RGB{N0f8}(0.0,0.0,0.0), RGB{N0f8}(0.239,0.094,0.192), RGB{N0f8}(0.251,0.0,0.502), RGB{N0f8}(0.125,0.0,0.753), RGB{N0f8}(0.0,0.0,1.0), RGB{N0f8}(0.0,0.502,1.0), RGB{N0f8}(0.082,0.918,0.918), RGB{N0f8}(0.055,0.945,0.612), RGB{N0f8}(0.027,0.973,0.306), RGB{N0f8}(0.0,1.0,0.0), RGB{N0f8}(0.333,1.0,0.0), RGB{N0f8}(0.667,1.0,0.0), RGB{N0f8}(1.0,1.0,0.0), RGB{N0f8}(1.0,0.749,0.0), RGB{N0f8}(1.0,0.502,0.0), RGB{N0f8}(1.0,0.0,0.0)], \"DT4\", \"This color scheme has been developed for viewing data recorded from BioSonics echosounders.\")"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
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  {
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   "execution_count": 41,
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  {
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      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "EchogramColorSchemes.EK80"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
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      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "EchogramColorSchemes.FurunoFQ80"
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  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "ColorScheme{Vector{RGB{N0f8}}, String, String}(RGB{N0f8}[RGB{N0f8}(0.0,0.0,1.0), RGB{N0f8}(0.0,0.125,1.0), RGB{N0f8}(0.0,0.251,1.0), RGB{N0f8}(0.0,0.376,1.0), RGB{N0f8}(0.0,0.502,1.0), RGB{N0f8}(0.0,0.624,1.0), RGB{N0f8}(0.0,0.749,1.0), RGB{N0f8}(0.0,0.875,1.0), RGB{N0f8}(0.0,1.0,1.0), RGB{N0f8}(0.165,1.0,0.827)  …  RGB{N0f8}(1.0,0.573,0.0), RGB{N0f8}(1.0,0.427,0.0), RGB{N0f8}(1.0,0.286,0.0), RGB{N0f8}(1.0,0.141,0.0), RGB{N0f8}(1.0,0.0,0.0), RGB{N0f8}(1.0,0.0,0.251), RGB{N0f8}(1.0,0.0,0.502), RGB{N0f8}(1.0,0.0,0.749), RGB{N0f8}(1.0,0.0,1.0), RGB{N0f8}(1.0,0.502,1.0)], \"HTI\", \"These color schemes have been developed for viewing data recorded from HTI echosounders\")"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "EchogramColorSchemes.HTI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
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      ],
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       "ColorScheme{Vector{RGB{N0f8}}, String, String}(RGB{N0f8}[RGB{N0f8}(0.627,0.878,0.753), RGB{N0f8}(0.506,0.757,0.878), RGB{N0f8}(0.0,0.506,0.875), RGB{N0f8}(0.251,0.502,0.502), RGB{N0f8}(0.0,0.875,0.506), RGB{N0f8}(0.0,0.875,0.0), RGB{N0f8}(0.0,0.624,0.0), RGB{N0f8}(0.0,0.376,0.0), RGB{N0f8}(0.502,0.502,0.251), RGB{N0f8}(0.549,0.549,0.451), RGB{N0f8}(1.0,0.502,0.0), RGB{N0f8}(1.0,0.502,0.502), RGB{N0f8}(1.0,0.0,0.0), RGB{N0f8}(0.502,0.0,0.0), RGB{N0f8}(0.251,0.0,0.0)], \"Kaijo\", \"This color scheme has been developed for viewing data recorded from Kaijo echosounders.\")"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
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   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
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      ],
      "text/plain": [
       "ColorScheme{Vector{RGB{N0f8}}, String, String}(RGB{N0f8}[RGB{N0f8}(1.0,0.902,1.0), RGB{N0f8}(0.98,0.875,0.992), RGB{N0f8}(0.957,0.847,0.98), RGB{N0f8}(0.929,0.824,0.973), RGB{N0f8}(0.898,0.8,0.961), RGB{N0f8}(0.867,0.773,0.953), RGB{N0f8}(0.831,0.749,0.941), RGB{N0f8}(0.792,0.725,0.933), RGB{N0f8}(0.753,0.702,0.922), RGB{N0f8}(0.71,0.678,0.914)  …  RGB{N0f8}(0.596,0.576,0.102), RGB{N0f8}(0.588,0.522,0.09), RGB{N0f8}(0.576,0.463,0.078), RGB{N0f8}(0.569,0.404,0.071), RGB{N0f8}(0.557,0.345,0.059), RGB{N0f8}(0.549,0.286,0.047), RGB{N0f8}(0.537,0.231,0.039), RGB{N0f8}(0.529,0.173,0.027), RGB{N0f8}(0.518,0.114,0.02), RGB{N0f8}(0.51,0.059,0.008)], \"LSSS\", \"This color scheme is used in the Large Scale Survey System, LSSS.\")"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "EchogramColorSchemes.LSSS"
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  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
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       "<rect width=\"1\" height=\".96\" x=\"95\" y=\"0\" fill=\"#800000\" />\n",
       "</svg>"
      ],
      "text/plain": [
       "ColorScheme{Vector{RGB{N0f8}}, String, String}(RGB{N0f8}[RGB{N0f8}(0.0,0.0,0.376), RGB{N0f8}(0.0,0.0,0.416), RGB{N0f8}(0.0,0.0,0.455), RGB{N0f8}(0.0,0.0,0.494), RGB{N0f8}(0.0,0.0,0.529), RGB{N0f8}(0.0,0.0,0.569), RGB{N0f8}(0.0,0.0,0.608), RGB{N0f8}(0.0,0.0,0.647), RGB{N0f8}(0.0,0.0,0.686), RGB{N0f8}(0.0,0.0,0.725)  …  RGB{N0f8}(0.745,0.0,0.0), RGB{N0f8}(0.718,0.0,0.0), RGB{N0f8}(0.69,0.0,0.0), RGB{N0f8}(0.663,0.0,0.0), RGB{N0f8}(0.635,0.0,0.0), RGB{N0f8}(0.608,0.0,0.0), RGB{N0f8}(0.584,0.0,0.0), RGB{N0f8}(0.557,0.0,0.0), RGB{N0f8}(0.529,0.0,0.0), RGB{N0f8}(0.502,0.0,0.0)], \"Sonic\", \"These color schemes have been developed for viewing data recorded from Sonic KFC-6000/KSE-300 echosounders.\")"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "EchogramColorSchemes.Sonic"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Recreate colour maps from Rogwitz and Kalvin (2001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "100-element Array{HSV{Float64},1} with eltype HSV{Float64}:\n",
       " HSV{Float64}(0.0,1.0,0.0)\n",
       " HSV{Float64}(0.6060606060606061,1.0,0.010101010101010102)\n",
       " HSV{Float64}(1.2121212121212122,1.0,0.020202020202020204)\n",
       " HSV{Float64}(1.8181818181818183,1.0,0.030303030303030304)\n",
       " HSV{Float64}(2.4242424242424243,1.0,0.04040404040404041)\n",
       " HSV{Float64}(3.0303030303030303,1.0,0.050505050505050504)\n",
       " HSV{Float64}(3.6363636363636367,1.0,0.06060606060606061)\n",
       " HSV{Float64}(4.242424242424242,1.0,0.0707070707070707)\n",
       " HSV{Float64}(4.848484848484849,1.0,0.08080808080808081)\n",
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       " HSV{Float64}(6.0606060606060606,1.0,0.10101010101010101)\n",
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       " HSV{Float64}(7.272727272727273,1.0,0.12121212121212122)\n",
       " ⋮\n",
       " HSV{Float64}(53.33333333333333,1.0,0.8888888888888888)\n",
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       " HSV{Float64}(55.75757575757576,1.0,0.9292929292929293)\n",
       " HSV{Float64}(56.36363636363637,1.0,0.9393939393939394)\n",
       " HSV{Float64}(56.96969696969697,1.0,0.9494949494949495)\n",
       " HSV{Float64}(57.57575757575757,1.0,0.9595959595959596)\n",
       " HSV{Float64}(58.18181818181819,1.0,0.9696969696969697)\n",
       " HSV{Float64}(58.78787878787879,1.0,0.9797979797979798)\n",
       " HSV{Float64}(59.3939393939394,1.0,0.98989898989899)\n",
       " HSV{Float64}(60.0,1.0,1.0)"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "heated_body = [HSV(i * 60, 1.0, i) for i in range(0,stop=1,length=100)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
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       "<rect width=\"1\" height=\".96\" x=\"78\" y=\"0\" fill=\"#C9C9C9\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"79\" y=\"0\" fill=\"#CBCBCB\" />\n",
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       "<rect width=\"1\" height=\".96\" x=\"81\" y=\"0\" fill=\"#D1D1D1\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"82\" y=\"0\" fill=\"#D3D3D3\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"83\" y=\"0\" fill=\"#D6D6D6\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"84\" y=\"0\" fill=\"#D8D8D8\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"85\" y=\"0\" fill=\"#DBDBDB\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"86\" y=\"0\" fill=\"#DEDEDE\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"87\" y=\"0\" fill=\"#E0E0E0\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"88\" y=\"0\" fill=\"#E3E3E3\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"89\" y=\"0\" fill=\"#E5E5E5\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"90\" y=\"0\" fill=\"#E8E8E8\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"91\" y=\"0\" fill=\"#EAEAEA\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"92\" y=\"0\" fill=\"#EDEDED\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"93\" y=\"0\" fill=\"#F0F0F0\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"94\" y=\"0\" fill=\"#F2F2F2\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"95\" y=\"0\" fill=\"#F5F5F5\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"96\" y=\"0\" fill=\"#F7F7F7\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"97\" y=\"0\" fill=\"#FAFAFA\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"98\" y=\"0\" fill=\"#FCFCFC\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"99\" y=\"0\" fill=\"#FFFFFF\" />\n",
       "</svg>"
      ],
      "text/plain": [
       "100-element Array{HSV{Float64},1} with eltype HSV{Float64}:\n",
       " HSV{Float64}(0.0,0.0,0.0)\n",
       " HSV{Float64}(0.0,0.0,0.010101010101010102)\n",
       " HSV{Float64}(0.0,0.0,0.020202020202020204)\n",
       " HSV{Float64}(0.0,0.0,0.030303030303030304)\n",
       " HSV{Float64}(0.0,0.0,0.04040404040404041)\n",
       " HSV{Float64}(0.0,0.0,0.050505050505050504)\n",
       " HSV{Float64}(0.0,0.0,0.06060606060606061)\n",
       " HSV{Float64}(0.0,0.0,0.0707070707070707)\n",
       " HSV{Float64}(0.0,0.0,0.08080808080808081)\n",
       " HSV{Float64}(0.0,0.0,0.09090909090909091)\n",
       " HSV{Float64}(0.0,0.0,0.10101010101010101)\n",
       " HSV{Float64}(0.0,0.0,0.1111111111111111)\n",
       " HSV{Float64}(0.0,0.0,0.12121212121212122)\n",
       " ⋮\n",
       " HSV{Float64}(0.0,0.0,0.8888888888888888)\n",
       " HSV{Float64}(0.0,0.0,0.898989898989899)\n",
       " HSV{Float64}(0.0,0.0,0.9090909090909091)\n",
       " HSV{Float64}(0.0,0.0,0.9191919191919192)\n",
       " HSV{Float64}(0.0,0.0,0.9292929292929293)\n",
       " HSV{Float64}(0.0,0.0,0.9393939393939394)\n",
       " HSV{Float64}(0.0,0.0,0.9494949494949495)\n",
       " HSV{Float64}(0.0,0.0,0.9595959595959596)\n",
       " HSV{Float64}(0.0,0.0,0.9696969696969697)\n",
       " HSV{Float64}(0.0,0.0,0.9797979797979798)\n",
       " HSV{Float64}(0.0,0.0,0.98989898989899)\n",
       " HSV{Float64}(0.0,0.0,1.0)"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hsv_grayscale = [HSV(0, 0, v) for v in range(0,stop=1,length=100)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
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       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"180mm\" height=\"25mm\"\n",
       "     viewBox=\"0 0 100 1\" preserveAspectRatio=\"none\"\n",
       "     shape-rendering=\"crispEdges\" stroke=\"none\">\n",
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       "<rect width=\"1\" height=\".96\" x=\"84\" y=\"0\" fill=\"#FF27FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"85\" y=\"0\" fill=\"#FF24FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"86\" y=\"0\" fill=\"#FF21FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"87\" y=\"0\" fill=\"#FF1FFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"88\" y=\"0\" fill=\"#FF1CFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"89\" y=\"0\" fill=\"#FF1AFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"90\" y=\"0\" fill=\"#FF17FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"91\" y=\"0\" fill=\"#FF15FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"92\" y=\"0\" fill=\"#FF12FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"93\" y=\"0\" fill=\"#FF0FFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"94\" y=\"0\" fill=\"#FF0DFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"95\" y=\"0\" fill=\"#FF0AFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"96\" y=\"0\" fill=\"#FF08FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"97\" y=\"0\" fill=\"#FF05FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"98\" y=\"0\" fill=\"#FF03FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"99\" y=\"0\" fill=\"#FF00FF\" />\n",
       "</svg>"
      ],
      "text/plain": [
       "100-element Array{HSV{Float64},1} with eltype HSV{Float64}:\n",
       " HSV{Float64}(300.0,0.0,1.0)\n",
       " HSV{Float64}(300.0,0.010101010101010102,1.0)\n",
       " HSV{Float64}(300.0,0.020202020202020204,1.0)\n",
       " HSV{Float64}(300.0,0.030303030303030304,1.0)\n",
       " HSV{Float64}(300.0,0.04040404040404041,1.0)\n",
       " HSV{Float64}(300.0,0.050505050505050504,1.0)\n",
       " HSV{Float64}(300.0,0.06060606060606061,1.0)\n",
       " HSV{Float64}(300.0,0.0707070707070707,1.0)\n",
       " HSV{Float64}(300.0,0.08080808080808081,1.0)\n",
       " HSV{Float64}(300.0,0.09090909090909091,1.0)\n",
       " HSV{Float64}(300.0,0.10101010101010101,1.0)\n",
       " HSV{Float64}(300.0,0.1111111111111111,1.0)\n",
       " HSV{Float64}(300.0,0.12121212121212122,1.0)\n",
       " ⋮\n",
       " HSV{Float64}(300.0,0.8888888888888888,1.0)\n",
       " HSV{Float64}(300.0,0.898989898989899,1.0)\n",
       " HSV{Float64}(300.0,0.9090909090909091,1.0)\n",
       " HSV{Float64}(300.0,0.9191919191919192,1.0)\n",
       " HSV{Float64}(300.0,0.9292929292929293,1.0)\n",
       " HSV{Float64}(300.0,0.9393939393939394,1.0)\n",
       " HSV{Float64}(300.0,0.9494949494949495,1.0)\n",
       " HSV{Float64}(300.0,0.9595959595959596,1.0)\n",
       " HSV{Float64}(300.0,0.9696969696969697,1.0)\n",
       " HSV{Float64}(300.0,0.9797979797979798,1.0)\n",
       " HSV{Float64}(300.0,0.98989898989899,1.0)\n",
       " HSV{Float64}(300.0,1.0,1.0)"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hsv_increasing_saturation = [HSV(300, s, 1.0) for s in range(0,stop=1,length=100)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"180mm\" height=\"25mm\"\n",
       "     viewBox=\"0 0 100 1\" preserveAspectRatio=\"none\"\n",
       "     shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "<rect width=\"1\" height=\".96\" x=\"0\" y=\"0\" fill=\"#FF00FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"1\" y=\"0\" fill=\"#FF03FF\" />\n",
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       "<rect width=\"1\" height=\".96\" x=\"7\" y=\"0\" fill=\"#FF12FF\" />\n",
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       "<rect width=\"1\" height=\".96\" x=\"71\" y=\"0\" fill=\"#FFB7FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"72\" y=\"0\" fill=\"#FFB9FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"73\" y=\"0\" fill=\"#FFBCFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"74\" y=\"0\" fill=\"#FFBFFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"75\" y=\"0\" fill=\"#FFC1FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"76\" y=\"0\" fill=\"#FFC4FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"77\" y=\"0\" fill=\"#FFC6FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"78\" y=\"0\" fill=\"#FFC9FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"79\" y=\"0\" fill=\"#FFCBFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"80\" y=\"0\" fill=\"#FFCEFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"81\" y=\"0\" fill=\"#FFD1FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"82\" y=\"0\" fill=\"#FFD3FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"83\" y=\"0\" fill=\"#FFD6FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"84\" y=\"0\" fill=\"#FFD8FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"85\" y=\"0\" fill=\"#FFDBFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"86\" y=\"0\" fill=\"#FFDEFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"87\" y=\"0\" fill=\"#FFE0FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"88\" y=\"0\" fill=\"#FFE3FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"89\" y=\"0\" fill=\"#FFE5FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"90\" y=\"0\" fill=\"#FFE8FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"91\" y=\"0\" fill=\"#FFEAFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"92\" y=\"0\" fill=\"#FFEDFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"93\" y=\"0\" fill=\"#FFF0FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"94\" y=\"0\" fill=\"#FFF2FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"95\" y=\"0\" fill=\"#FFF5FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"96\" y=\"0\" fill=\"#FFF7FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"97\" y=\"0\" fill=\"#FFFAFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"98\" y=\"0\" fill=\"#FFFCFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"99\" y=\"0\" fill=\"#FFFFFF\" />\n",
       "</svg>"
      ],
      "text/plain": [
       "100-element Array{HSV{Float64},1} with eltype HSV{Float64}:\n",
       " HSV{Float64}(300.0,1.0,1.0)\n",
       " HSV{Float64}(300.0,0.98989898989899,1.0)\n",
       " HSV{Float64}(300.0,0.9797979797979798,1.0)\n",
       " HSV{Float64}(300.0,0.9696969696969697,1.0)\n",
       " HSV{Float64}(300.0,0.9595959595959596,1.0)\n",
       " HSV{Float64}(300.0,0.9494949494949495,1.0)\n",
       " HSV{Float64}(300.0,0.9393939393939394,1.0)\n",
       " HSV{Float64}(300.0,0.9292929292929293,1.0)\n",
       " HSV{Float64}(300.0,0.9191919191919192,1.0)\n",
       " HSV{Float64}(300.0,0.9090909090909091,1.0)\n",
       " HSV{Float64}(300.0,0.898989898989899,1.0)\n",
       " HSV{Float64}(300.0,0.8888888888888888,1.0)\n",
       " HSV{Float64}(300.0,0.8787878787878788,1.0)\n",
       " ⋮\n",
       " HSV{Float64}(300.0,0.1111111111111111,1.0)\n",
       " HSV{Float64}(300.0,0.10101010101010101,1.0)\n",
       " HSV{Float64}(300.0,0.09090909090909091,1.0)\n",
       " HSV{Float64}(300.0,0.08080808080808081,1.0)\n",
       " HSV{Float64}(300.0,0.0707070707070707,1.0)\n",
       " HSV{Float64}(300.0,0.06060606060606061,1.0)\n",
       " HSV{Float64}(300.0,0.050505050505050504,1.0)\n",
       " HSV{Float64}(300.0,0.04040404040404041,1.0)\n",
       " HSV{Float64}(300.0,0.030303030303030304,1.0)\n",
       " HSV{Float64}(300.0,0.020202020202020204,1.0)\n",
       " HSV{Float64}(300.0,0.010101010101010102,1.0)\n",
       " HSV{Float64}(300.0,0.0,1.0)"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hsv_decreasing_saturation = reverse(hsv_increasing_saturation)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"180mm\" height=\"25mm\"\n",
       "     viewBox=\"0 0 100 1\" preserveAspectRatio=\"none\"\n",
       "     shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "<rect width=\"1\" height=\".96\" x=\"0\" y=\"0\" fill=\"#000000\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"1\" y=\"0\" fill=\"#040404\" />\n",
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       "<rect width=\"1\" height=\".96\" x=\"91\" y=\"0\" fill=\"#E8E8E8\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"92\" y=\"0\" fill=\"#EBEBEB\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"93\" y=\"0\" fill=\"#EEEEEE\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"94\" y=\"0\" fill=\"#F0F0F0\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"95\" y=\"0\" fill=\"#F3F3F3\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"96\" y=\"0\" fill=\"#F6F6F6\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"97\" y=\"0\" fill=\"#F9F9F9\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"98\" y=\"0\" fill=\"#FCFCFC\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"99\" y=\"0\" fill=\"#FFFFFF\" />\n",
       "</svg>"
      ],
      "text/plain": [
       "100-element Array{Lab{Float64},1} with eltype Lab{Float64}:\n",
       " Lab{Float64}(0.0,0.0,0.0)\n",
       " Lab{Float64}(1.0101010101010102,0.0,0.0)\n",
       " Lab{Float64}(2.0202020202020203,0.0,0.0)\n",
       " Lab{Float64}(3.0303030303030303,0.0,0.0)\n",
       " Lab{Float64}(4.040404040404041,0.0,0.0)\n",
       " Lab{Float64}(5.05050505050505,0.0,0.0)\n",
       " Lab{Float64}(6.0606060606060606,0.0,0.0)\n",
       " Lab{Float64}(7.070707070707071,0.0,0.0)\n",
       " Lab{Float64}(8.080808080808081,0.0,0.0)\n",
       " Lab{Float64}(9.090909090909092,0.0,0.0)\n",
       " Lab{Float64}(10.1010101010101,0.0,0.0)\n",
       " Lab{Float64}(11.11111111111111,0.0,0.0)\n",
       " Lab{Float64}(12.121212121212121,0.0,0.0)\n",
       " ⋮\n",
       " Lab{Float64}(88.88888888888889,0.0,0.0)\n",
       " Lab{Float64}(89.8989898989899,0.0,0.0)\n",
       " Lab{Float64}(90.9090909090909,0.0,0.0)\n",
       " Lab{Float64}(91.91919191919192,0.0,0.0)\n",
       " Lab{Float64}(92.92929292929293,0.0,0.0)\n",
       " Lab{Float64}(93.93939393939394,0.0,0.0)\n",
       " Lab{Float64}(94.94949494949495,0.0,0.0)\n",
       " Lab{Float64}(95.95959595959596,0.0,0.0)\n",
       " Lab{Float64}(96.96969696969697,0.0,0.0)\n",
       " Lab{Float64}(97.97979797979798,0.0,0.0)\n",
       " Lab{Float64}(98.98989898989899,0.0,0.0)\n",
       " Lab{Float64}(100.0,0.0,0.0)"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lab_grayscale = [Lab(l,0,0) for l in range(0,stop=100,length=100)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<rect width=\"1\" height=\".96\" x=\"93\" y=\"0\" fill=\"#003EFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"94\" y=\"0\" fill=\"#0034FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"95\" y=\"0\" fill=\"#0029FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"96\" y=\"0\" fill=\"#001FFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"97\" y=\"0\" fill=\"#0015FF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"98\" y=\"0\" fill=\"#000AFF\" />\n",
       "<rect width=\"1\" height=\".96\" x=\"99\" y=\"0\" fill=\"#0000FF\" />\n",
       "</svg>"
      ],
      "text/plain": [
       "100-element Array{HSV{Float64},1} with eltype HSV{Float64}:\n",
       " HSV{Float64}(0.0,1.0,1.0)\n",
       " HSV{Float64}(2.4242424242424243,1.0,1.0)\n",
       " HSV{Float64}(4.848484848484849,1.0,1.0)\n",
       " HSV{Float64}(7.272727272727273,1.0,1.0)\n",
       " HSV{Float64}(9.696969696969697,1.0,1.0)\n",
       " HSV{Float64}(12.121212121212121,1.0,1.0)\n",
       " HSV{Float64}(14.545454545454547,1.0,1.0)\n",
       " HSV{Float64}(16.96969696969697,1.0,1.0)\n",
       " HSV{Float64}(19.393939393939394,1.0,1.0)\n",
       " HSV{Float64}(21.81818181818182,1.0,1.0)\n",
       " HSV{Float64}(24.242424242424242,1.0,1.0)\n",
       " HSV{Float64}(26.666666666666664,1.0,1.0)\n",
       " HSV{Float64}(29.090909090909093,1.0,1.0)\n",
       " ⋮\n",
       " HSV{Float64}(213.33333333333331,1.0,1.0)\n",
       " HSV{Float64}(215.75757575757575,1.0,1.0)\n",
       " HSV{Float64}(218.1818181818182,1.0,1.0)\n",
       " HSV{Float64}(220.60606060606062,1.0,1.0)\n",
       " HSV{Float64}(223.03030303030303,1.0,1.0)\n",
       " HSV{Float64}(225.45454545454547,1.0,1.0)\n",
       " HSV{Float64}(227.87878787878788,1.0,1.0)\n",
       " HSV{Float64}(230.30303030303028,1.0,1.0)\n",
       " HSV{Float64}(232.72727272727275,1.0,1.0)\n",
       " HSV{Float64}(235.15151515151516,1.0,1.0)\n",
       " HSV{Float64}(237.5757575757576,1.0,1.0)\n",
       " HSV{Float64}(240.0,1.0,1.0)"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rainbow = [HSV(i * 240, 1.0, 1.0) for i in range(0,stop=1,length=100)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "linspace (generic function with 1 method)"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Interpolations\n",
    "\n",
    "function interp1(X, V, Xq)\n",
    "    knots = (X,)\n",
    "    itp = interpolate(knots, V, Gridded(Linear()))\n",
    "    itp[Xq]\n",
    "end\n",
    "\n",
    "linspace(x,y,z) = range(x, stop=y,length=z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "     width=\"180mm\" height=\"25mm\"\n",
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      ],
      "text/plain": [
       "100-element Array{Lab{Float64},1} with eltype Lab{Float64}:\n",
       " Lab{Float64}(65.14354705810547,9.707213401794434,-20.69729232788086)\n",
       " Lab{Float64}(65.14354705810547,8.607107663395428,-21.113639060897057)\n",
       " Lab{Float64}(65.14354705810547,7.912569498774982,-21.383243772718643)\n",
       " Lab{Float64}(65.14354705810547,7.106591773755623,-21.434438474250562)\n",
       " Lab{Float64}(65.14354705810547,6.752151031686802,-21.94740971651944)\n",
       " Lab{Float64}(65.14354705810547,6.706736906610354,-23.047877610331835)\n",
       " Lab{Float64}(65.14354705810547,5.8831119103865195,-23.34137604453347)\n",
       " Lab{Float64}(65.14354705810547,4.353589712971389,-22.886512621484624)\n",
       " Lab{Float64}(65.14354705810547,2.794262108176646,-22.346885218764797)\n",
       " Lab{Float64}(65.14354705810547,1.9546236124905674,-22.325720873746004)\n",
       " Lab{Float64}(65.14354705810547,1.4161391968678945,-22.571551351836234)\n",
       " Lab{Float64}(65.14354705810547,0.09757246408197698,-23.044924630059135)\n",
       " Lab{Float64}(65.14354705810547,-0.8472947713100554,-23.268767327973336)\n",
       " ⋮\n",
       " Lab{Float64}(65.14354705810547,15.557158682081436,18.83680703904893)\n",
       " Lab{Float64}(65.14354705810547,15.781036376953125,17.877792454729178)\n",
       " Lab{Float64}(65.14354705810547,16.71482762423428,17.222509037364617)\n",
       " Lab{Float64}(65.14354705810547,16.904030135183625,16.81919034322103)\n",
       " Lab{Float64}(65.14354705810547,17.13342996077104,15.860274555707218)\n",
       " Lab{Float64}(65.14354705810547,17.916846535422586,14.561331720063182)\n",
       " Lab{Float64}(65.14354705810547,18.52860419918793,13.76212954280352)\n",
       " Lab{Float64}(65.14354705810547,19.46328737278177,13.247929553792934)\n",
       " Lab{Float64}(65.14354705810547,20.91211648420854,11.520142063950049)\n",
       " Lab{Float64}(65.14354705810547,22.19546907598322,9.626523913759174)\n",
       " Lab{Float64}(65.14354705810547,22.07277375038224,8.722582470286971)\n",
       " Lab{Float64}(65.14354705810547,22.703786849975586,7.936864852905273)"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Load the colours from the digitised colour map\n",
    "x = unique(Images.load(\"data/raw/isoluminant-rainbow-sample.png\")[1,:])\n",
    "\n",
    "# Convert to CIELab\n",
    "x = map( x -> Lab(RGB(x.r, x.g, x.b)), x)\n",
    "\n",
    "# Find the mean lightness and use it to ensure isoluminance\n",
    "m = mean([x.l for x in x])\n",
    "x = map(x -> Lab(m, x.a, x.b), x)\n",
    "\n",
    "# Interpolate to get 100 colours\n",
    "idx1 = linspace(1,100, length(x))\n",
    "idx2 = collect(1:100)\n",
    "x = [[x.l x.a x.b] for x in x]\n",
    "x = interp1(idx1, x, idx2)\n",
    "isoluminant_rainbow = [Lab(x[1],x[2],x[3]) for x in x]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "100-element Array{Lab{Float64},1} with eltype Lab{Float64}:\n",
       " Lab{Float64}(54.812889099121094,-2.976142644882202,0.18164265155792236)\n",
       " Lab{Float64}(54.812889099121094,-2.586974830338449,0.2895458695864437)\n",
       " Lab{Float64}(54.812889099121094,-2.0120160483350658,-0.0946620059284297)\n",
       " Lab{Float64}(54.812889099121094,-1.5613742994539666,-0.01260800287127493)\n",
       " Lab{Float64}(54.812889099121094,-0.7081330472772772,-0.3464160119042252)\n",
       " Lab{Float64}(54.81288909912109,-0.5052519302175502,-0.6613453590508663)\n",
       " Lab{Float64}(54.812889099121094,-0.28054411837850546,-0.09861749779255743)\n",
       " Lab{Float64}(54.812889099121094,0.2171396104540965,-0.26692401427011303)\n",
       " Lab{Float64}(54.812889099121094,0.7674354639920321,-0.943372292350037)\n",
       " Lab{Float64}(54.812889099121094,1.1079002347859466,-1.0410466681827197)\n",
       " Lab{Float64}(54.812889099121094,1.8547192077444055,-1.1593475197300767)\n",
       " Lab{Float64}(54.812889099121094,1.9897473388248021,-0.8414554595947268)\n",
       " Lab{Float64}(54.812889099121094,2.0633630246827095,-0.47840234005089965)\n",
       " ⋮\n",
       " Lab{Float64}(54.812889099121094,37.96002960205078,6.061046971215142)\n",
       " Lab{Float64}(54.812889099121094,38.21391978408351,6.684380834752869)\n",
       " Lab{Float64}(54.812889099121094,38.681502602317124,7.083379051902077)\n",
       " Lab{Float64}(54.812889099121094,39.4329728791208,6.483640685225978)\n",
       " Lab{Float64}(54.812889099121094,39.099891624065364,7.2141475870151694)\n",
       " Lab{Float64}(54.812889099121094,39.55450439453125,7.556854854930531)\n",
       " Lab{Float64}(54.812889099121094,40.056048499213325,7.7166142704510925)\n",
       " Lab{Float64}(54.812889099121094,40.55950746632585,7.520908596539741)\n",
       " Lab{Float64}(54.812889099121094,41.9508575670647,6.685519362940929)\n",
       " Lab{Float64}(54.812889099121094,42.09579722086588,6.533756651059545)\n",
       " Lab{Float64}(54.812889099121094,42.469793300435995,6.7923935928730055)\n",
       " Lab{Float64}(54.812889099121094,42.839351654052734,7.030668258666992)"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = unique(load(\"data/raw/lab-isoluminant-saturation-sample.png\")[1,:])\n",
    "x = map( x -> Lab(RGB(x.r, x.g, x.b)), x)\n",
    "m = mean([x.l for x in x])\n",
    "x = map(x -> Lab(m, x.a, x.b), x)\n",
    "idx1 = linspace(1,100, length(x))\n",
    "idx2 = collect(1:100)\n",
    "x = [[x.l x.a x.b] for x in x]\n",
    "x = interp1(idx1, x, idx2)\n",
    "isoluminant_sat = [Lab(x[1],x[2],x[3]) for x in x]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "Rogowitz, B.E. & Kalvin, A.D., 2001. The Which Blair project: A quick visual method\n",
    "for evaluating perceptual color maps. In Proceedings of the conference on visualization’01.\n",
    "IEEE Computer Society, pp. 183–190."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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