trans_from_rgbtrans_from_rgbTransFromRgbTransFromRgbtrans_from_rgb (Operator)

Name

trans_from_rgbtrans_from_rgbTransFromRgbTransFromRgbtrans_from_rgb — Transform an image from the RGB color space to an arbitrary color space.

Signature

Description

trans_from_rgbtrans_from_rgbTransFromRgbTransFromRgbTransFromRgbtrans_from_rgb transforms an image from the RGB color space to an arbitrary color space (ColorSpaceColorSpaceColorSpaceColorSpacecolorSpacecolor_space). The three channels of the image are passed as three separate images on input and output.

The operator trans_from_rgbtrans_from_rgbTransFromRgbTransFromRgbTransFromRgbtrans_from_rgb supports the image types byte, uint2, int4, and real. In the case of real images, all values should lay within 0 and 1. If not, the results of the transformation may not be reasonable.

Certain scalings are performed accordingly to the image type:

• Considering byte and uint2 images, the domain of color space values is generally mapped to the full domain of [0..255] or [0..65535], respectively. Because of this, the origin of signed values (e.g., CIELab) may not be at the center of the domain.

• Hue values are represented by angles of [0..2PI[ and are coded for the particular image types differently:

  • byte-images map the angle domain to [0..255].

  • uint2/int4-images are coded in minutes of arc [0..21600[, except for the transformations 'cielchab'"cielchab""cielchab""cielchab""cielchab""cielchab" and 'cielchuv'"cielchuv""cielchuv""cielchuv""cielchuv""cielchuv" for int4-images, where they are coded in seconds of arc [0..1296000[.

  • real-images are coded in radians [0..2PI[, except for the transformations 'cielchab'"cielchab""cielchab""cielchab""cielchab""cielchab" and 'cielchuv'"cielchuv""cielchuv""cielchuv""cielchuv""cielchuv", where the standards ISO 11664-4:2008 and ISO 11664-5:2009 require the hue to be specified in degrees.

• Saturation values are represented by percentages of [0..100] and are coded differently for the particular image type:

  • byte-images map the saturation values to [0..255].

  • uint2/int4-images map the saturation values to [0..10000].

  • real-images map the saturation values to [0..1].

Supported are the transformations listed below. Note, all domains are based on RGB values scaled to [0; 1]. To obtain the domain of a certain image type, they must be scaled accordingly with the value range. Due to different precision the values obtained using the given equations may slightly differ from the values returned by the operator.

'yiq'

Range of values:

'yuv'

Note, this implies that , , and are not independent of each other.

Range of values:

'argyb'

Range of values:

'ciexyz'

The primary colors used correspond to sRGB respectively CIE Rec. 709. D65 is used as white point.

Used primary colors (x, y, z):

Range of values:

'hls'

Min := min([R, G, B]) Max := max([R, G, B]) L := (Min + Max) / 2 if (Max == Min) H := 0 S := 0 else if (L > 0.5) S := (Max - Min) / (2 - Max - Min) else S := (Max - Min) / (Max + Min) endif if (R == Max) H := ((G - B) / (Max - Min)) * rad(60) elseif (G == Max) H := (2 + (B - R) / (Max - Min)) * rad(60) elseif (B == Max) H := (4 + (R - G) / (Max - Min)) * rad(60) endif endif

Range of values:

'hsi'

Range of values:

'hsv'

Min := min([R, G, B]) Max := max([R, G, B]) V := Max if (Max == Min) S := 0 H := 0 else S := (Max - Min) / Max if (R == Max) H := ((G - B) / (Max - Min)) * rad(60) elseif (G == Max) H := (2 + (B - R) / (Max - Min)) * rad(60) elseif (B == Max) H := (4 + (R - G) / (Max - Min)) * rad(60) endif endif

Range of values:

'ihs'

Min := min([R, G, B]) Max := max([R, G, B]) I := (R + G + B) / 3 if (I == 0) H := 0 S := 1 else S := 1 - Min / I if (S == 0) H := 0 else X := (R + R - G - B) / 2 Y := (R - G) * (R - G) + (R - B) * (G - B) Z := sqrt(Y) if (Z == 0) H := 0 else H := acos(X / Z) endif if (B > G) H := rad(360) - H endif endif endif

Range of values:

'cielab'

where

f(t) = t^(1/3), t > (24/116)^3 f(t) = (841/108)*t + 16/116, otherwise. Black point B: (Rb, Gb, Bb) = (0, 0, 0) White point W = (Rw, Gw, Bw), according to image type: byte:=(255, 255, 255), uint2:=(2^16-1, 2^16-1, 2^16-1), int4:=(2^31-1, 2^31-1, 2^31-1), real:=(1.0, 1.0, 1.0)

Range of values:

(Scaled to the maximum gray value in the case of byte and uint2. In the case of int4 L and a are scaled to the maximum gray value, b is scaled to the minimum gray value, such that the origin stays at 0.)

'cielchab'

where

f(t) = t^(1/3), t > (24/116)^3 f(t) = (841/108)*t + 16/116, otherwise. h_ab lies between 0° and 90° if a and b are both positive, between 90° and 180° if a is negative and b is positive, between 180° and 270° if a and b are both negative, and between 270° and 360° if a is positive and b is negative. Black point B: (Rb, Gb, Bb) = (0, 0, 0) White point W = (Rw, Gw, Bw), according to image type: byte:=(255, 255, 255), uint2:=(2^16-1, 2^16-1, 2^16-1), int4:=(2^31-1, 2^31-1, 2^31-1), real:=(1.0, 1.0, 1.0)

Range of values:

(Scaled to the maximum gray value in the case of byte and uint2. In the case of int4, L and C are scaled to the maximum gray value, while h is given in seconds of arc.)

'cieluv'

where

f(t) = t^(1/3), t > (24/116)^3 f(t) = (841/108)*t + 16/116, otherwise. Black point B: (Rb, Gb, Bb) = (0, 0, 0) White point W = (Rw, Gw, Bw), according to image type: byte:=(255, 255, 255), uint2:=(2^16-1, 2^16-1, 2^16-1), int4:=(2^31-1, 2^31-1, 2^31-1), real:=(1.0, 1.0, 1.0)

Range of values:

(Scaled to the maximum gray value in the case of byte and uint2. In the case of int4 L and u are scaled to the maximum gray value, v is scaled to the minimum gray value, such that the origin stays at 0.)

'cielchuv'

where

f(t) = t^(1/3), t > (24/116)^3 f(t) = (841/108)*t + 16/116, otherwise. h_uv lies between 0° and 90° if u and v are both positive, between 90° and 180° if u is negative and v is positive, between 180° and 270° if u and v are both negative, and between 270° and 360° if u is positive and v is negative. Black point B: (Rb, Gb, Bb) = (0, 0, 0) White point W = (Rw, Gw, Bw), according to image type: byte:=(255, 255, 255), uint2:=(2^16-1, 2^16-1, 2^16-1), int4:=(2^31-1, 2^31-1, 2^31-1), real:=(1.0, 1.0, 1.0)

Range of values:

(Scaled to the maximum gray value in the case of byte and uint2. In the case of int4, L and C are scaled to the maximum gray value, while h is given in seconds of arc.)

'i1i2i3'

Range of values:

'ciexyz2'

Range of values:

'ciexyz3'

Range of values:

'ciexyz4'

Used primary colors (x, y, z):

Range of values:

'lms'

This conceptually is a transformation from RGB to CIE XYZ (see 'ciexyz'"ciexyz""ciexyz""ciexyz""ciexyz""ciexyz" above) followed by a transformation from CIE XYZ to LMS.

Range of values:

Attention

As the calculations are made with a different numerical precision, the OpenCL implementation of the cielab transformation for images of type int4 is slightly less accurate than the pure C version.

Execution Information

• Supports OpenCL compute devices.
• Multithreading type: reentrant (runs in parallel with non-exclusive operators).
• Multithreading scope: global (may be called from any thread).
• Automatically parallelized on tuple level.
• Automatically parallelized on domain level.

Parameters

* Transformation from rgb to hsv and conversely
read_image(Image,'patras')
dev_display(Image)
decompose3(Image, Image1, Image2, Image3)
trans_from_rgb(Image1,Image2,Image3,ImageH,ImageS,ImageV,'hsv')
trans_to_rgb(ImageH,ImageS,ImageV,ImageR,ImageG,ImageB,'hsv')
compose3(ImageR,ImageG,ImageB,Multichannel)
dev_display(Multichannel)

/* Transformation from rgb to hsv and conversely */
read_image(Image,"patras");
disp_color(Image,WindowHandle);
decompose3(Image,&Rimage,&Gimage,&Bimage);
trans_from_rgb(Rimage,Gimage,Bimage,&Image1,&Image2,&Image3,"hsv");
trans_to_rgb(Image1,Image2,Image3,&ImageRed,&ImageGreen,&ImageBlue,"hsv");
compose3(ImageRed,ImageGreen,ImageBlue,&Multichannel);
disp_color(Multichannel,WindowHandle);

* Transformation from rgb to hsv and conversely
read_image(Image,'patras')
dev_display(Image)
decompose3(Image, Image1, Image2, Image3)
trans_from_rgb(Image1,Image2,Image3,ImageH,ImageS,ImageV,'hsv')
trans_to_rgb(ImageH,ImageS,ImageV,ImageR,ImageG,ImageB,'hsv')
compose3(ImageR,ImageG,ImageB,Multichannel)
dev_display(Multichannel)

* Transformation from rgb to hsv and conversely
read_image(Image,'patras')
dev_display(Image)
decompose3(Image, Image1, Image2, Image3)
trans_from_rgb(Image1,Image2,Image3,ImageH,ImageS,ImageV,'hsv')
trans_to_rgb(ImageH,ImageS,ImageV,ImageR,ImageG,ImageB,'hsv')
compose3(ImageR,ImageG,ImageB,Multichannel)
dev_display(Multichannel)

* Transformation from rgb to hsv and conversely
read_image(Image,'patras')
dev_display(Image)
decompose3(Image, Image1, Image2, Image3)
trans_from_rgb(Image1,Image2,Image3,ImageH,ImageS,ImageV,'hsv')
trans_to_rgb(ImageH,ImageS,ImageV,ImageR,ImageG,ImageB,'hsv')
compose3(ImageR,ImageG,ImageB,Multichannel)
dev_display(Multichannel)

Result

trans_from_rgbtrans_from_rgbTransFromRgbTransFromRgbTransFromRgbtrans_from_rgb returns TRUE if all parameters are correct. If the input is empty the behavior can be set via set_system(::'no_object_result', <Result>:)set_system("no_object_result", <Result>)SetSystem("no_object_result", <Result>)SetSystem("no_object_result", <Result>)SetSystem("no_object_result", <Result>)set_system("no_object_result", <Result>). If necessary, an exception is raised.

Possible Predecessors

decompose3decompose3Decompose3Decompose3Decompose3decompose3

Possible Successors

compose3compose3Compose3Compose3Compose3compose3

Alternatives

linear_trans_colorlinear_trans_colorLinearTransColorLinearTransColorLinearTransColorlinear_trans_color, rgb1_to_grayrgb1_to_grayRgb1ToGrayRgb1ToGrayRgb1ToGrayrgb1_to_gray, rgb3_to_grayrgb3_to_grayRgb3ToGrayRgb3ToGrayRgb3ToGrayrgb3_to_gray

See also

trans_to_rgbtrans_to_rgbTransToRgbTransToRgbTransToRgbtrans_to_rgb

References

ITU-R BT.470-6: “Conventional Television Systems”, 1998.
ISO 11664-4:2008: “Colorimetry --- Part 4: CIE 1976 L*a*b* Colour Space”, 2008.
ISO 11664-5:2009: “Colorimetry --- Part 5: CIE 1976 L*u*v* Colour space and u',v' uniform chromaticity scale diagram”, 2009.

Module

Foundation