Voting

: seven minus three?
(Example: nine)

The Note You're Voting On

Hayley Watson
7 years ago
RGB space isn't the best choice for measuring the distance between two colours, since it ignores, for example, the fact that we count both dark green and light green as "green" (the RGB distance between #000000 and #7f7f7f is the same as the distance between #000000 and #5443c0 - a slightly darkened SlateBlue).

A better choice of colour space that conforms better to how colours are perceived is the so-called Lab space, which measures colours according to how light/dark, red/green, and yellow/blue they are. (There are still better models, but they come at the expense of increased computation.)

<?php

function warp1($c)
{
if(
$c > 10.3148)
{
return
pow((561 + 40*$c)/10761, 2.4);
}
else
{
return
$c / 3294.6;
}
}
function
warp2($c)
{
if(
$c > 0.008856)
{
return
pow($c, 1/3);
}
else
{
return
7.787 * $c + 4/29;
}
}
function
rgb2lab($rgb)
{
[
$red, $green, $blue] = array_map('warp1', $rgb);

$x = warp2($red * 0.4339 + $green * 0.3762 + $blue * 0.1899);
$y = warp2($red * 0.2126 + $green * 0.7152 + $blue * 0.0722);
$z = warp2($red * 0.0178 + $green * 0.1098 + $blue * 0.8730);

$l = 116*$y - 16;
$a = 500 * ($x - $y);
$b = 200 * ($y - $z);

return
array_map('intval', [$l, $a, $b]);
}

function
generate_palette_from_image($image)
{
$pal = [];
$width = imagesx($image);
$height = imagesy($image);
for(
$x = 0; $x < $width; ++$x)
{
for(
$y = 0; $y < $height; ++$y)
{
$pal[] = imagecolorat($image, $x, $y);
}
}
return
array_map(function($col)use($image)
{
$rgba = imagecolorsforindex($image, $col);
return [
$rgba['red'], $rgba['green'], $rgba['blue']];
},
array_unique($pal));
}

function
closest_rgb_in_palette($rgb, $palette)
{
// Quick return when the exact
// colour is in the palette.
if(($idx = array_search($rgb, $palette)) !== false)
{
return
$idx;
}
[
$tl, $ta, $tb] = rgb2lab($rgb);
$dists = array_map(function($plab)use($tl, $ta, $tb)
{
[
$pl, $pa, $pb] = $plab;
$dl = $pl - $tl;
$da = $pa - $ta;
$db = $pa - $tb;
return
$dl * $dl + $da * $da + $db * $db;
},
array_map('rgb2lab', $palette));
return
array_search(min($dists), $dists);
}

function
closest_rgb_in_image($rgb, $image)
{
$palette = generate_palette_from_image($image);
return
$palette[closest_rgb_in_palette($rgb, $palette)];
}

$lena = imagecreatefrompng('lena.png');
$red = closest_rgb_in_image([255,0,0],$lena);
echo
join(' ', $red); // 228 71 82

?>

If you're going to be matching a lot of colours to a palette, you may want to precompute and reuse the Lab palette, instead of generating it fresh each time as done here.

<< Back to user notes page

To Top