色彩空间转换公式汇编
XYZ —> RGB
ref_X = 95.047 //Observer = 2°, Illuminant = D65
ref_Y = 100.000
ref_Z = 108.883
var_X = X / 100 //X = From 0 to ref_X
var_Y = Y / 100 //Y = From 0 to ref_Y
var_Z = Z / 100 //Z = From 0 to ref_Y
var_R = var_X * 3.2406 + var_Y * -1.5372 + var_Z * -0.4986
var_G = var_X * -0.9689 + var_Y * 1.8758 + var_Z * 0.0415
var_B = var_X * 0.0557 + var_Y * -0.2040 + var_Z * 1.0570
if ( var_R > 0.0031308 ) var_R = 1.055 * ( var_R ^ ( 1 / 2.4 ) ) - 0.055
else var_R = 12.92 * var_R
if ( var_G > 0.0031308 ) var_G = 1.055 * ( var_G ^ ( 1 / 2.4 ) ) - 0.055
else var_G = 12.92 * var_G
if ( var_B > 0.0031308 ) var_B = 1.055 * ( var_B ^ ( 1 / 2.4 ) ) - 0.055
else var_B = 12.92 * var_B
R = var_R * 255
G = var_G * 255
B = var_B * 255
//************************************************************************
RGB —> XYZ
var_R = ( R / 255 ) //R = From 0 to 255
var_G = ( G / 255 ) //G = From 0 to 255
var_B = ( B / 255 ) //B = From 0 to 255
if ( var_R > 0.04045 ) var_R = ( ( var_R + 0.055 ) / 1.055 ) ^ 2.4
else var_R = var_R / 12.92
if ( var_G > 0.04045 ) var_G = ( ( var_G + 0.055 ) / 1.055 ) ^ 2.4
else var_G = var_G / 12.92
if ( var_B > 0.04045 ) var_B = ( ( var_B + 0.055 ) / 1.055 ) ^ 2.4
else var_B = var_B / 12.92
var_R = var_R * 100
var_G = var_G * 100
var_B = var_B * 100
//Observer. = 2°, Illuminant = D65
X = var_R * 0.4124 + var_G * 0.3576 + var_B * 0.1805
Y = var_R * 0.2126 + var_G * 0.7152 + var_B * 0.0722
Z = var_R * 0.0193 + var_G * 0.1192 + var_B * 0.9505
//************************************************************************
XYZ —> Yxy
//X = From 0 to 95.047 Observer. = 2°, Illuminant = D65
//Y = From 0 to 100.000
//Z = From 0 to 108.883
Y = Y
x = X / ( X + Y + Z )
y = Y / ( X + Y + Z )
//************************************************************************
Yxy —> XYZ
//Y = From 0 to 100
//x = From 0 to 1
//y = From 0 to 1
X = x * ( Y / y )
Y = Y
Z = ( 1 - x - y ) * ( Y / y )
//************************************************************************
XYZ —> Hunter-Lab
(H)L = 10 * sqrt( Y )
(H)a = 17.5 * ( ( ( 1.02 * X ) - Y ) / sqrt( Y ) )
(H)b = 7 * ( ( Y - ( 0.847 * Z ) ) / sqrt( Y ) )
//************************************************************************
Hunter-Lab —> XYZ
var_Y = (H)L / 10
var_X = (H)a / 17.5 * (H)L / 10
var_Z = (H)b / 7 * (H)L / 10
Y = var_Y ^ 2
X = ( var_X + out_Y ) / 1.02
Z = -( var_Z - out_Y ) / 0.847
//************************************************************************
XYZ —> CIE-L*ab
var_X = X / 95.047 //Observer = 2°, Illuminant = D65
var_Y = Y / 100.000
var_Z = Z / 108.883
if ( var_X > 0.008856 ) var_X = var_X ^ ( 1/3 )
else var_X = ( 7.787 * var_X ) + ( 16 / 116 )
if ( var_Y > 0.008856 ) var_Y = var_Y ^ ( 1/3 )
else var_Y = ( 7.787 * var_Y ) + ( 16 / 116 )
if ( var_Z > 0.008856 ) var_Z = var_Z ^ ( 1/3 )
else var_Z = ( 7.787 * var_Z ) + ( 16 / 116 )
CIE-L* = ( 116 * var_Y ) - 16
CIE-a* = 500 * ( var_X - var_Y )
CIE-b* = 200 * ( var_Y - var_Z )
//************************************************************************
CIE-L*ab —> XYZ
var_Y = ( CIE-L* + 16 ) / 116
var_X = CIE-a* / 500 + var_Y
var_Z = var_Y - CIE-b* / 200
if ( var_Y^3 > 0.008856 ) var_Y = var_Y^3
else var_Y = ( var_Y - 16 / 116 ) / 7.787
if ( var_X^3 > 0.008856 ) var_X = var_X^3
else var_X = ( var_X - 16 / 116 ) / 7.787
if ( var_Z^3 > 0.008856 ) var_Z = var_Z^3
else var_Z = ( var_Z - 16 / 116 ) / 7.787
X = ref_X * var_X //ref_X = 95.047 Observer= 2°, Illuminant= D65
Y = ref_Y * var_Y //ref_Y = 100.000
Z = ref_Z * var_Z //ref_Z = 108.883
//************************************************************************
CIE-L*ab —> CIE-L*CH°
var_H = arc_tangent( CIE-b*, CIE-a* ) //Quadrant by signs
if ( var_H > 0 ) var_H = ( var_H / PI ) * 180
else var_H = 360 - ( abs( var_H ) / PI ) * 180
CIE-L* = CIE-L*
CIE-C* = sqrt( CIE-a* ^ 2 + CIE-b* ^ 2 )
CIE-H°= var_H
//************************************************************************
XYZ —> CIE-L*uv
var_U = ( 4 * X ) / ( X + ( 15 * Y ) + ( 3 * Z ) )
var_V = ( 9 * Y ) / ( X + ( 15 * Y ) + ( 3 * Z ) )
var_Y = Y / 100
if ( var_Y > 0.008856 ) var_Y = var_Y ^ ( 1/3 )
else var_Y = ( 7.787 * var_Y ) + ( 16 / 116 )
ref_X = 95.047 //Observer= 2°, Illuminant= D65
ref_Y = 100.000
ref_Z = 108.883
ref_U = ( 4 * ref_X ) / ( ref_X + ( 15 * ref_Y ) + ( 3 * ref_Z ) )
ref_V = ( 9 * ref_Y ) / ( ref_X + ( 15 * ref_Y ) + ( 3 * ref_Z ) )
CIE-L* = ( 116 * var_Y ) - 16
CIE-u* = 13 * CIE-L* * ( var_U - ref_U )
CIE-v* = 13 * CIE-L* * ( var_V - ref_V )
//************************************************************************
CIE-L*uv —> XYZ
var_Y = ( CIE-L* + 16 ) / 116
if ( var_Y^3 > 0.008856 ) var_Y = var_Y^3
else var_Y = ( var_Y - 16 / 116 ) / 7.787
ref_X = 95.047 //Observer= 2°, Illuminant= D65
ref_Y = 100.000
ref_Z = 108.883
ref_U = ( 4 * ref_X ) / ( ref_X + ( 15 * ref_Y ) + ( 3 * ref_Z ) )
ref_V = ( 9 * ref_Y ) / ( ref_X + ( 15 * ref_Y ) + ( 3 * ref_Z ) )
var_U = CIE-u* / ( 13 * CIE-L* ) + ref_U
var_V = CIE-v* / ( 13 * CIE-L* ) + ref_V
Y = var_Y * 100
X = - ( 9 * Y * var_U ) / ( ( var_U - 4 ) * var_V - var_U * var_V )
Z = ( 9 * Y - ( 15 * var_V * Y ) - ( var_V * X ) ) / ( 3 * var_V )
//************************************************************************
RGB —> HSL
var_R = ( R / 255 ) //RGB values = 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
L = ( var_Max + var_Min ) / 2
if ( del_Max == 0 ) //This is a gray, no chroma...
{
H = 0 //HSL results = From 0 to 1
S = 0
}
else //Chromatic data...
{
if ( L < 0.5 ) S = del_Max / ( var_Max + var_Min )
else S = del_Max / ( 2 - var_Max - var_Min )
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
}
//************************************************************************
HSL —> RGB
if ( S == 0 ) //HSL values = From 0 to 1
{
R = L * 255 //RGB results = From 0 to 255
G = L * 255
B = L * 255
}
else
{
if ( L < 0.5 ) var_2 = L * ( 1 + S )
else var_2 = ( L + S ) - ( S * L )
var_1 = 2 * L - var_2
R = 255 * Hue_2_RGB( var_1, var_2, H + ( 1 / 3 ) )
G = 255 * Hue_2_RGB( var_1, var_2, H )
B = 255 * Hue_2_RGB( var_1, var_2, H - ( 1 / 3 ) )
}
--------------------------------------------------------------------------------
Hue_2_RGB( v1, v2, vH ) //Function Hue_2_RGB
{
if ( vH < 0 ) vH += 1
if ( vH > 1 ) vH -= 1
if ( ( 6 * vH ) < 1 ) return ( v1 + ( v2 - v1 ) * 6 * vH )
if ( ( 2 * vH ) < 1 ) return ( v2 )
if ( ( 3 * vH ) < 2 ) return ( v1 + ( v2 - v1 ) * ( ( 2 / 3 ) - vH ) * 6 )
return ( v1 )
}
//************************************************************************
RGB —> HSV
var_R = ( R / 255 ) //RGB values = 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
}
//************************************************************************
HSV —> RGB
if ( S == 0 ) //HSV values = From 0 to 1
{
R = V * 255 //RGB results = From 0 to 255
G = V * 255
B = V * 255
}
else
{
var_h = H * 6
var_i = int( var_h ) //Or ... var_i = floor( var_h )
var_1 = V * ( 1 - S )
var_2 = V * ( 1 - S * ( var_h - var_i ) )
var_3 = V * ( 1 - S * ( 1 - ( var_h - var_i ) ) )
if ( var_i == 0 ) { var_r = V ; var_g = var_3 ; var_b = var_1 }
else if ( var_i == 1 ) { var_r = var_2 ; var_g = V ; var_b = var_1 }
else if ( var_i == 2 ) { var_r = var_1 ; var_g = V ; var_b = var_3 }
else if ( var_i == 3 ) { var_r = var_1 ; var_g = var_2 ; var_b = V }
else if ( var_i == 4 ) { var_r = var_3 ; var_g = var_1 ; var_b = V }
else { var_r = V ; var_g = var_1 ; var_b = var_2 }
R = var_r * 255 //RGB results = From 0 to 255
G = var_g * 255
B = var_b * 255
}
}
//************************************************************************
Range of HSL, HSB and HSV in popular applications
Applications Space H Range S Range L/V/B Range
Paint Shop Pro HSL 0 - 255 0 - 255 L 0 - 255
Gimp HSV 0 - 360° 0 - 100 V 0 - 100
Photoshop HSV 0 - 360° 0 - 100% B 0 - 100%
Windows HSL 0 - 240 0 - 240 L 0 - 240
Linux / KDE HSV 0 - 360° 0 - 255 V 0 - 255
GTK HSV 0 - 360° 0 - 1.0 V 0 - 1.0
Java (awt.Color) HSV 0 - 1.0 0 - 1.0 B 0 - 1.0
Apple HSV 0 - 360° 0 - 100% L 0 - 100%
//************************************************************************
RGB —> CMY
//RGB values = From 0 to 255
C = 1 - ( R / 255 )
M = 1 - ( G / 255 )
Y = 1 - ( B / 255 )
//************************************************************************
CMY —> RGB
//CMY values = From 0 to 1
R = ( 1 - C ) * 255
G = ( 1 - M ) * 255
B = ( 1 - Y ) * 255
//************************************************************************
CMY —> CMYK
//CMY values = From 0 to 1
var_K = 1
if ( C < var_K ) var_K = C
if ( M < var_K ) var_K = M
if ( Y < var_K ) var_K = Y
C = ( C - var_K ) / ( 1 - var_K )
M = ( M - var_K ) / ( 1 - var_K )
Y = ( Y - var_K ) / ( 1 - var_K )
K = var_K
//************************************************************************
CMYK —> CMY
//CMYK values = From 0 to 1
C = ( C * ( 1 - K ) + K )
M = ( M * ( 1 - K ) + K )
Y = ( Y * ( 1 - K ) + K )
//************************************************************************
XYZ (Tristimulus) Reference values of a perfect reflecting diffuser
Observer 2° (CIE 1931) 10° (CIE 1964)
Illuminant X2 Y2 Z2 X10 Y10 Z10
A (Incandescent) 109.850 100 35.585 111.144 100 35.200
C 98.074 100 118.232 97.285 100 116.145
D50 96.422 100 82.521 96.720 100 81.427
D55 95.682 100 92.149 95.799 100 90.926
D65 (Daylight) 95.047 100 108.883 94.811 100 107.304
D75 94.972 100 122.638 94.416 100 120.641
F2 (Fluorescent) 99.187 100 67.395 103.280 100 69.026
F7 95.044 100 108.755 95.792 100 107.687
F11 100.966 100 64.370 103.866 100 65.627
//************************************************************************