几种颜色模型的转换公式

技术2022-05-11 6

几种颜色模型的转换公式

XYZ —> RGB

var_X = X / 100 //X from 0 to 95.047 var_Y = Y / 100 //Y from 0 to 100.000var_Z = Z / 100 //Z from 0 to 108.883

var_R = var_X * 3.2406 + var_Y * -1.5372 + var_Z * -0.4986var_G = var_X * -0.9689 + var_Y * 1.8758 + var_Z * 0.0415var_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 ) ) - 0.055else var_R = 12.92 * var_Rif ( var_G > 0.0031308 ) var_G = 1.055 * ( var_G ^ ( 1 / 2.4 ) ) - 0.055else var_G = 12.92 * var_Gif ( var_B > 0.0031308 ) var_B = 1.055 * ( var_B ^ ( 1 / 2.4 ) ) - 0.055else var_B = 12.92 * var_B

R = var_R * 255G = var_G * 255B = var_B * 255

RGB —> XYZ

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

if ( var_R > 0.04045 ) var_R = ( ( var_R + 0.055 ) / 1.055 ) ^ 2.4else var_R = var_R / 12.92if ( var_G > 0.04045 ) var_G = ( ( var_G + 0.055 ) / 1.055 ) ^ 2.4else var_G = var_G / 12.92if ( var_B > 0.04045 ) var_B = ( ( var_B + 0.055 ) / 1.055 ) ^ 2.4else var_B = var_B / 12.92

var_R = var_R * 100var_G = var_G * 100var_B = var_B * 100

X = var_R * 0.4124 + var_G * 0.3576 + var_B * 0.1805Y = var_R * 0.2126 + var_G * 0.7152 + var_B * 0.0722Z = var_R * 0.0193 + var_G * 0.1192 + var_B * 0.9505

XYZ —> Yxy

//X from 0 to 95.047

//Y from 0 to 100.000//Z from 0 to 108.883

Y = Yx = 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 = YZ = ( 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 / 10var_X = (H)a / 17.5 * (H)L / 10var_Z = (H)b / 7 * (H)L / 10

Y = var_Y ^ 2X = ( var_X + Y ) / 1.02Z = -( var_Z - Y ) / 0.847

XYZ —> CIE-L*ab

var_X = X / ref_X //ref_X = 95.047

var_Y = Y / ref_Y //ref_Y = 100.000var_Z = Z / ref_Z //ref_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 ) - 16CIE-a* = 500 * ( var_X - var_Y )CIE-b* = 200 * ( var_Y - var_Z )

CIE-L*ab —> XYZ

var_Y = ( CIE-L* + 16 ) / 116var_X = CIE-a* / 500 + var_Yvar_Z = var_Y - CIE-b* / 200

if ( var_Y^3 > 0.008856 ) var_Y = var_Y^3else var_Y = ( var_Y - 16 / 116 ) / 7.787if ( var_X^3 > 0.008856 ) var_X = var_X^3else var_X = ( var_X - 16 / 116 ) / 7.787if ( var_Z^3 > 0.008856 ) var_Z = var_Z^3else var_Z = ( var_Z - 16 / 116 ) / 7.787

X = ref_X * var_X //ref_X = 95.047

Y = ref_Y * var_Y //ref_Y = 100.000Z = 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 ) * 180else 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

CIE-L*CH° —>CIE-L*ab

//CIE-H° from 0 to 360°

CIE-L* = CIE-L*CIE-a* = cos( degree_2_radian( CIE-H° ) ) * CIE-C*CIE-b* = sin( degree_2_radian( CIE-H° ) ) * CIE-C*

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 / 100if ( var_Y > 0.008856 ) var_Y = var_Y ^ ( 1/3 )else var_Y = ( 7.787 * var_Y ) + ( 16 / 116 )

ref_X = 95.047 ref_Y = 100.000ref_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 ) - 16CIE-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 ) / 116if ( var_Y^3 > 0.008856 ) var_Y = var_Y^3else var_Y = ( var_Y - 16 / 116 ) / 7.787

ref_X = 95.047 ref_Y = 100.000ref_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_Uvar_V = CIE-v* / ( 13 * CIE-L* ) + ref_V

Y = var_Y * 100X = - ( 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 from 0 to 255var_G = ( G / 255 )var_B = ( B / 255 )

var_Min = min( var_R, var_G, var_B ) //Min. value of RGBvar_Max = max( var_R, var_G, var_B ) //Max. value of RGBdel_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 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 from 0 to 255var_G = ( G / 255 )var_B = ( B / 255 )

var_Min = min( var_R, var_G, var_B ) //Min. value of RGBvar_Max = max( var_R, var_G, var_B ) //Max. value of RGBdel_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

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 from 0 to 1{ R = V * 255 G = V * 255 B = V * 255}else{ var_h = H * 6 if ( var_h == 6 ) var_h = 0 //H must be < 1 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}

RGB —> CMY

//RGB values from 0 to 255//CMY results from 0 to 1

C = 1 - ( R / 255 )M = 1 - ( G / 255 )Y = 1 - ( B / 255 )

CMY —> RGB

//CMY values from 0 to 1//RGB results from 0 to 255

R = ( 1 - C ) * 255G = ( 1 - M ) * 255B = ( 1 - Y ) * 255

CMY —> CMYK

//CMYK and CMY values from 0 to 1

var_K = 1

if ( C < var_K ) var_K = Cif ( M < var_K ) var_K = Mif ( Y < var_K ) var_K = Yif ( var_K == 1 ) { //Black C = 0 M = 0 Y = 0}else { 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 and CMY values from 0 to 1

C = ( C * ( 1 - K ) + K )M = ( M * ( 1 - K ) + K )Y = ( Y * ( 1 - K ) + K )

本文来自博客，转载请标明出处：http://blog.csdn.net/byxdaz/archive/2009/03/11/3981121.aspx

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