色轮后面的数学 [英] Math behind the Colour Wheel

问题描述

我想用12个切片创建一个馅饼，每个切片都是不同的颜色。

I want to create a pie with 12 slices, and each slice is a different colour.

几乎每个色轮都遵循相同的格式;例如： http://www.tigercolor.com/color-lab/color- theory / color-theory-intro.htm

Pretty much every colour wheel seems to follow the same format; eg: http://www.tigercolor.com/color-lab/color-theory/color-theory-intro.htm

但是有什么算法可以产生颜色？什么是RGB（theta）背后的数学？肯定有一些成熟的科学，但谷歌没有给我任何线索...

But what algorithms are there for generating the colours? What is the math behind RGB(theta)? Surely there must be some established science on this, but Google is not giving me any clues...

推荐答案

看看 http://www.easyrgb.com 它有许多颜色转换背后的算法。这是RGB - > HSV一个。

Have a look at http://www.easyrgb.com it has the algorithms behind many color conversions. Here's the RGB -> HSV one.

var_R = ( R / 255 )                     //RGB from 0 to 255
var_G = ( G / 255 )
var_B = ( B / 255 )

var_Min = min( var_R, var_G, var_B )    //Min. value of RGB
var_Max = max( var_R, var_G, var_B )    //Max. value of RGB
del_Max = var_Max - var_Min             //Delta RGB value 

V = var_Max

if ( del_Max == 0 )                     //This is a gray, no chroma...
{
   H = 0                                //HSV results from 0 to 1
   S = 0
}
else                                    //Chromatic data...
{
   S = del_Max / var_Max

   del_R = ( ( ( var_Max - var_R ) / 6 ) + ( del_Max / 2 ) ) / del_Max
   del_G = ( ( ( var_Max - var_G ) / 6 ) + ( del_Max / 2 ) ) / del_Max
   del_B = ( ( ( var_Max - var_B ) / 6 ) + ( del_Max / 2 ) ) / del_Max

   if      ( var_R == var_Max ) H = del_B - del_G
   else if ( var_G == var_Max ) H = ( 1 / 3 ) + del_R - del_B
   else if ( var_B == var_Max ) H = ( 2 / 3 ) + del_G - del_R

   if ( H < 0 ) H += 1
   if ( H > 1 ) H -= 1
}

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