LMS color space

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Normalized responsivity spectra of human cone cells, S, M, and L types
Normalized responsivity spectra of human cone cells, S, M, and L types

LMS is a color space represented by the response of the three types of cones of the human eye, named after their responsivity (sensitivity) at long, medium and short wavelengths.

It is common to use the LMS color space when performing chromatic adaptation (estimating the appearance of a sample under a different illuminant).

Contents

[edit] XYZ to LMS

Typically, the color to be adapted will be specified in a color space other than LMS, but easily convertible to XYZ. The chromatic adaptation matrix however will be in LMS, thus the need for a transformation matrix M. The transformation matrices for some chromatic adaptation models in terms of CIEXYZ coordinates are presented here.

Notes 

[edit] CMCCAT97

The CMCCAT97 color appearance model uses the Bradford transformation matrix (MB):[2]

\begin{bmatrix} L\\M\\S \end{bmatrix} = \begin{bmatrix} 0.8951 & 0.2664 & -0.1614 \\ -0.7502 & 1.7135 & 0.0367 \\ 0.0389 & -0.0685 & 1.0296 \end{bmatrix} \begin{bmatrix} X\\Y\\Z \end{bmatrix}

[edit] RLAB

The RLAB color appearance model uses the Hunt-Pointer-Estevez (HPE) transformation matrix (MH) for conversion from CIE XYZ to LMS:[1][3]

Equal-energy illuminants: \begin{bmatrix} L\\M\\S \end{bmatrix} = \begin{bmatrix} 0.38971 & 0.68898 & -0.07868\\ -0.22981 & 1.18340 & 0.04641\\ 0.00000 & 0.00000 & 1.00000 \end{bmatrix} \begin{bmatrix} X\\Y\\Z \end{bmatrix}
Normalized to D65: \begin{bmatrix} L\\M\\S \end{bmatrix} = \begin{bmatrix} 0.4002 & 0.7076 & -0.0808 \\ -0.2263 & 1.1653 & 0.0457 \\ 0 & 0 & 0.9182 \end{bmatrix} \begin{bmatrix} X\\Y\\Z \end{bmatrix}

[edit] CAT97s

CIECAM97s uses a spectrally-sharpened Bradford chromatic adaptation matrix:[1]

\begin{bmatrix} L\\M\\S \end{bmatrix} = \begin{bmatrix} 0.8562 & 0.3372 & -0.1934 \\ -0.8360 & 1.8327 & 0.0033 \\ 0.0357 & -0.0469 & 1.0112 \end{bmatrix} \begin{bmatrix} X\\Y\\Z \end{bmatrix}

[edit] CAT02

The chromatic adaptation matrix (MCAT02) from the CIECAM02 model is:[1]

\begin{bmatrix} L\\M\\S \end{bmatrix} = \begin{bmatrix} 0.7328 & 0.4296 & -0.1624\\ -0.7036 & 1.6975 & 0.0061\\ 0.0030 & 0.0136 & 0.9834 \end{bmatrix} \begin{bmatrix} X\\Y\\Z \end{bmatrix}

[edit] See also

[edit] References

  1. ^ a b c d e Fairchild, Mark D. (2005). Color Appearance Models, 2E, Wiley Interscience. ISBN 978-0-470-01216-1. 
  2. ^ Westland, Stephen; Ripamonti, Caterina (2004). "6.2.2 CMCCAT97", Computational Colour Science Using MATLAB. Wiley Interscience, 89. ISBN 0470845627. 
  3. ^ Moroney, Nathan; Fairchild, Mark D.; Hunt, Robert W.G.; Li, Changjun; Luo, M. Ronnier; Newman, Todd (November 12 2002). "The CIECAM02 Color Appearance Model". IS&T/SID Tenth Color Imaging Conference, Scottsdale, Arizona: The Society for Imaging Science and Technology. ISBN 0-89208-241-0. 
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