Source code for colour.colorimetry.transformations

#!/usr/bin/env python
# -*- coding: utf-8 -*-

"""
Colour Matching Functions Transformations
=========================================

Defines various educational objects for colour matching functions
transformations:

-   :func:`RGB_2_degree_cmfs_to_XYZ_2_degree_cmfs`
-   :func:`RGB_10_degree_cmfs_to_XYZ_10_degree_cmfs`
-   :func:`RGB_10_degree_cmfs_to_LMS_10_degree_cmfs`
-   :func:`LMS_2_degree_cmfs_to_XYZ_2_degree_cmfs`
-   :func:`LMS_10_degree_cmfs_to_XYZ_10_degree_cmfs`

See Also
--------
`Colour Matching Functions IPython Notebook
<http://nbviewer.jupyter.org/github/colour-science/colour-notebooks/\
blob/master/notebooks/colorimetry/cmfs.ipynb>`_
"""

from __future__ import division, unicode_literals

import numpy as np

from colour.colorimetry import LMS_CMFS, RGB_CMFS, PHOTOPIC_LEFS
from colour.utilities import dot_vector, tstack

__author__ = 'Colour Developers'
__copyright__ = 'Copyright (C) 2013-2016 - Colour Developers'
__license__ = 'New BSD License - http://opensource.org/licenses/BSD-3-Clause'
__maintainer__ = 'Colour Developers'
__email__ = 'colour-science@googlegroups.com'
__status__ = 'Production'

__all__ = ['RGB_2_degree_cmfs_to_XYZ_2_degree_cmfs',
           'RGB_10_degree_cmfs_to_XYZ_10_degree_cmfs',
           'RGB_10_degree_cmfs_to_LMS_10_degree_cmfs',
           'LMS_2_degree_cmfs_to_XYZ_2_degree_cmfs',
           'LMS_10_degree_cmfs_to_XYZ_10_degree_cmfs']


[docs]def RGB_2_degree_cmfs_to_XYZ_2_degree_cmfs(wavelength): """ Converts *Wright & Guild 1931 2 Degree RGB CMFs* colour matching functions into the *CIE 1931 2 Degree Standard Observer* colour matching functions. Parameters ---------- wavelength : numeric or array_like Wavelength :math:`\lambda` in nm. Returns ------- ndarray *CIE 1931 2 Degree Standard Observer* spectral tristimulus values. See Also -------- :attr:`colour.colorimetry.dataset.cmfs.RGB_CMFS` Notes ----- - Data for the *CIE 1931 2 Degree Standard Observer* already exists, this definition is intended for educational purpose. References ---------- .. [1] Wyszecki, G., & Stiles, W. S. (2000). Table 1(3.3.3). In Color Science: Concepts and Methods, Quantitative Data and Formulae (pp. 138–139). Wiley. ISBN:978-0471399186 Examples -------- >>> RGB_2_degree_cmfs_to_XYZ_2_degree_cmfs(700) # doctest: +ELLIPSIS array([ 0.0113577..., 0.004102 , 0. ]) """ cmfs = RGB_CMFS.get('Wright & Guild 1931 2 Degree RGB CMFs') rgb_bar = cmfs.get(wavelength) rgb = rgb_bar / np.sum(rgb_bar) M1 = np.array([[0.49000, 0.31000, 0.20000], [0.17697, 0.81240, 0.01063], [0.00000, 0.01000, 0.99000]]) M2 = np.array([[0.66697, 1.13240, 1.20063], [0.66697, 1.13240, 1.20063], [0.66697, 1.13240, 1.20063]]) xyz = dot_vector(M1, rgb) xyz /= dot_vector(M2, rgb) x, y, z = xyz[..., 0], xyz[..., 1], xyz[..., 2] V = PHOTOPIC_LEFS.get('CIE 1924 Photopic Standard Observer').clone() V.align(cmfs.shape) L = V.get(wavelength) x_bar = x / y * L y_bar = L z_bar = z / y * L xyz_bar = tstack((x_bar, y_bar, z_bar)) return xyz_bar
[docs]def RGB_10_degree_cmfs_to_XYZ_10_degree_cmfs(wavelength): """ Converts *Stiles & Burch 1959 10 Degree RGB CMFs* colour matching functions into the *CIE 1964 10 Degree Standard Observer* colour matching functions. Parameters ---------- wavelength : numeric or array_like Wavelength :math:`\lambda` in nm. Returns ------- ndarray *CIE 1964 10 Degree Standard Observer* spectral tristimulus values. See Also -------- :attr:`colour.colorimetry.dataset.cmfs.RGB_CMFS` Notes ----- - Data for the *CIE 1964 10 Degree Standard Observer* already exists, this definition is intended for educational purpose. References ---------- .. [2] Wyszecki, G., & Stiles, W. S. (2000). The CIE 1964 Standard Observer. In Color Science: Concepts and Methods, Quantitative Data and Formulae (p. 141). Wiley. ISBN:978-0471399186 Examples -------- >>> RGB_10_degree_cmfs_to_XYZ_10_degree_cmfs(700) # doctest: +ELLIPSIS array([ 9.6432150...e-03, 3.7526317...e-03, -4.1078830...e-06]) """ cmfs = RGB_CMFS.get('Stiles & Burch 1959 10 Degree RGB CMFs') rgb_bar = cmfs.get(wavelength) M = np.array([[0.341080, 0.189145, 0.387529], [0.139058, 0.837460, 0.073316], [0.000000, 0.039553, 2.026200]]) xyz_bar = dot_vector(M, rgb_bar) return xyz_bar
[docs]def RGB_10_degree_cmfs_to_LMS_10_degree_cmfs(wavelength): """ Converts *Stiles & Burch 1959 10 Degree RGB CMFs* colour matching functions into the *Stockman & Sharpe 10 Degree Cone Fundamentals* spectral sensitivity functions. Parameters ---------- wavelength : numeric or array_like Wavelength :math:`\lambda` in nm. Returns ------- ndarray *Stockman & Sharpe 10 Degree Cone Fundamentals* spectral tristimulus values. Notes ----- - Data for the *Stockman & Sharpe 10 Degree Cone Fundamentals* already exists, this definition is intended for educational purpose. References ---------- .. [3] CIE TC 1-36. (2006). CIE 170-1:2006 Fundamental Chromaticity Diagram with Physiological Axes - Part 1 (pp. 1–56). ISBN:978-3-901-90646-6 Examples -------- >>> RGB_10_degree_cmfs_to_LMS_10_degree_cmfs(700) # doctest: +ELLIPSIS array([ 0.0052860..., 0.0003252..., 0. ]) """ cmfs = RGB_CMFS.get('Stiles & Burch 1959 10 Degree RGB CMFs') rgb_bar = cmfs.get(wavelength) M = np.array([[0.1923252690, 0.749548882, 0.0675726702], [0.0192290085, 0.940908496, 0.113830196], [0.0000000000, 0.0105107859, 0.991427669]]) lms_bar = dot_vector(M, rgb_bar) lms_bar[..., -1][np.asarray(np.asarray(wavelength) > 505)] = 0 return lms_bar
[docs]def LMS_2_degree_cmfs_to_XYZ_2_degree_cmfs(wavelength): """ Converts *Stockman & Sharpe 2 Degree Cone Fundamentals* colour matching functions into the *CIE 2012 2 Degree Standard Observer* colour matching functions. Parameters ---------- wavelength : numeric or array_like Wavelength :math:`\lambda` in nm. Returns ------- ndarray *CIE 2012 2 Degree Standard Observer* spectral tristimulus values. Notes ----- - Data for the *CIE 2012 2 Degree Standard Observer* already exists, this definition is intended for educational purpose. References ---------- .. [4] CVRL. (n.d.). CIE (2012) 2-deg XYZ “physiologically-relevant” colour matching functions. Retrieved June 25, 2014, from http://www.cvrl.org/database/text/cienewxyz/cie2012xyz2.htm Examples -------- >>> LMS_2_degree_cmfs_to_XYZ_2_degree_cmfs(700) # doctest: +ELLIPSIS array([ 0.0109677..., 0.0041959..., 0. ]) """ cmfs = LMS_CMFS.get('Stockman & Sharpe 2 Degree Cone Fundamentals') lms_bar = cmfs.get(wavelength) M = np.array([[1.94735469, -1.41445123, 0.36476327], [0.68990272, 0.34832189, 0.00000000], [0.00000000, 0.00000000, 1.93485343]]) xyz_bar = dot_vector(M, lms_bar) return xyz_bar
[docs]def LMS_10_degree_cmfs_to_XYZ_10_degree_cmfs(wavelength): """ Converts *Stockman & Sharpe 10 Degree Cone Fundamentals* colour matching functions into the *CIE 2012 10 Degree Standard Observer* colour matching functions. Parameters ---------- wavelength : numeric or array_like Wavelength :math:`\lambda` in nm. Returns ------- ndarray *CIE 2012 10 Degree Standard Observer* spectral tristimulus values. Notes ----- - Data for the *CIE 2012 10 Degree Standard Observer* already exists, this definition is intended for educational purpose. References ---------- .. [5] CVRL. (n.d.). CIE (2012) 10-deg XYZ “physiologically-relevant” colour matching functions. Retrieved June 25, 2014, from http://www.cvrl.org/database/text/cienewxyz/cie2012xyz10.htm Examples -------- >>> LMS_10_degree_cmfs_to_XYZ_10_degree_cmfs(700) # doctest: +ELLIPSIS array([ 0.0098162..., 0.0037761..., 0. ]) """ cmfs = LMS_CMFS.get('Stockman & Sharpe 10 Degree Cone Fundamentals') lms_bar = cmfs.get(wavelength) M = np.array([[1.93986443, -1.34664359, 0.43044935], [0.69283932, 0.34967567, 0.00000000], [0.00000000, 0.00000000, 2.14687945]]) xyz_bar = dot_vector(M, lms_bar) return xyz_bar