LMS color space

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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).

XYZ to LMS[edit]

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 in the von Kries transform method, however, is diagonal in LMS space, hence the usefulness of a transformation matrix M between spaces. The transformation matrices for some chromatic adaptation models in terms of CIEXYZ coordinates are presented here.

Notes 

CMCCAT97[edit]

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}

RLAB[edit]

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}

CAT97s[edit]

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}

CAT02[edit]

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}

See also[edit]

References[edit]

  1. ^ a b c d e Fairchild, Mark D. (2005). Color Appearance Models (2E ed.). 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. p. 89. ISBN 0-470-84562-7. 
  3. ^ Moroney, Nathan; Fairchild, Mark D.; Hunt, Robert W.G.; Li, Changjun; Luo, M. Ronnier; Newman, Todd (November 12, 2002). "IS&T/SID Tenth Color Imaging Conference". Scottsdale, Arizona: The Society for Imaging Science and Technology. ISBN 0-89208-241-0.  |chapter= ignored (help)