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2009-03-15
比较全的色彩模式之间的转换算法 - [RIA]
版权声明:转载时请以超链接形式标明文章原始出处和作者信息及本声明
http://leenmax.blogbus.com/logs/36602822.html
XYZ —> RGB
复制代码- var_X = X / 100 //X from 0 to 95.047 (Observer = 2°, Illuminant = D65)
- var_Y = Y / 100 //Y from 0 to 100.000
- var_Z = Z / 100 //Z from 0 to 108.883
- 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
复制代码- 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
复制代码- //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复制代码- //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
复制代码- (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
复制代码- 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 + Y ) / 1.02
- Z = -( var_Z - Y ) / 0.847
XYZ —> CIE-L*ab
复制代码- var_X = X / ref_X //ref_X = 95.047 Observer= 2°, Illuminant= D65
- var_Y = Y / ref_Y //ref_Y = 100.000
- var_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 ) - 16
- CIE-a* = 500 * ( var_X - var_Y )
- CIE-b* = 200 * ( var_Y - var_Z )
CIE-L*ab —> XYZ
复制代码- 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°
复制代码- 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
CIE-L*CH° —>CIE-L*ab
复制代码- //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
复制代码- 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
复制代码- 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
复制代码- 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
- 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
复制代码- 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
复制代码- 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
- }
HSV —> RGB
复制代码- 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
复制代码- //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
复制代码- //CMY values from 0 to 1
- //RGB results from 0 to 255
- R = ( 1 - C ) * 255
- G = ( 1 - M ) * 255
- B = ( 1 - Y ) * 255
CMY —> CMYK
复制代码- //CMYK and 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
- if ( 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
复制代码- //CMYK and CMY values from 0 to 1
- C = ( C * ( 1 - K ) + K )
- M = ( M * ( 1 - K ) + K )
- Y = ( Y * ( 1 - K ) + K )
Range of HSL, HSB and HSV in popular applications
XYZ (Tristimulus) Reference values of a perfect reflecting diffuser
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