"""
CAM02-LCD, CAM02-SCD, and CAM02-UCS Colourspaces - Luo, Cui and Li (2006)
=========================================================================
Define the *Luo et al. (2006)* *CAM02-LCD*, *CAM02-SCD*, and *CAM02-UCS*
colourspaces transformations:
- :func:`colour.JMh_CIECAM02_to_CAM02LCD`
- :func:`colour.CAM02LCD_to_JMh_CIECAM02`
- :func:`colour.JMh_CIECAM02_to_CAM02SCD`
- :func:`colour.CAM02SCD_to_JMh_CIECAM02`
- :func:`colour.JMh_CIECAM02_to_CAM02UCS`
- :func:`colour.CAM02UCS_to_JMh_CIECAM02`
- :func:`colour.XYZ_to_CAM02LCD`
- :func:`colour.CAM02LCD_to_XYZ`
- :func:`colour.XYZ_to_CAM02SCD`
- :func:`colour.CAM02SCD_to_XYZ`
- :func:`colour.XYZ_to_CAM02UCS`
- :func:`colour.CAM02UCS_to_XYZ`
References
----------
- :cite:`Luo2006b` : Luo, M. Ronnier, Cui, G., & Li, C. (2006). Uniform
colour spaces based on CIECAM02 colour appearance model. Color Research &
Application, 31(4), 320-330. doi:10.1002/col.20227
"""
from __future__ import annotations
from collections import namedtuple
import numpy as np
from colour.algebra import cartesian_to_polar, polar_to_cartesian
from colour.hints import Any, ArrayLike, NDArrayFloat, cast
from colour.utilities import (
CanonicalMapping,
as_float_array,
from_range_100,
from_range_degrees,
get_domain_range_scale,
to_domain_100,
to_domain_degrees,
tsplit,
tstack,
)
__author__ = "Colour Developers"
__copyright__ = "Copyright 2013 Colour Developers"
__license__ = "BSD-3-Clause - https://opensource.org/licenses/BSD-3-Clause"
__maintainer__ = "Colour Developers"
__email__ = "colour-developers@colour-science.org"
__status__ = "Production"
__all__ = [
"Coefficients_UCS_Luo2006",
"COEFFICIENTS_UCS_LUO2006",
"JMh_CIECAM02_to_UCS_Luo2006",
"UCS_Luo2006_to_JMh_CIECAM02",
"JMh_CIECAM02_to_CAM02LCD",
"CAM02LCD_to_JMh_CIECAM02",
"JMh_CIECAM02_to_CAM02SCD",
"CAM02SCD_to_JMh_CIECAM02",
"JMh_CIECAM02_to_CAM02UCS",
"CAM02UCS_to_JMh_CIECAM02",
"XYZ_to_UCS_Luo2006",
"UCS_Luo2006_to_XYZ",
"XYZ_to_CAM02LCD",
"CAM02LCD_to_XYZ",
"XYZ_to_CAM02SCD",
"CAM02SCD_to_XYZ",
"XYZ_to_CAM02UCS",
"CAM02UCS_to_XYZ",
]
class Coefficients_UCS_Luo2006(
namedtuple("Coefficients_UCS_Luo2006", ("K_L", "c_1", "c_2"))
):
"""
Define the class storing *Luo et al. (2006)* fitting coefficients for
the *CAM02-LCD*, *CAM02-SCD*, and *CAM02-UCS* colourspaces.
"""
COEFFICIENTS_UCS_LUO2006: CanonicalMapping = CanonicalMapping(
{
"CAM02-LCD": Coefficients_UCS_Luo2006(0.77, 0.007, 0.0053),
"CAM02-SCD": Coefficients_UCS_Luo2006(1.24, 0.007, 0.0363),
"CAM02-UCS": Coefficients_UCS_Luo2006(1.00, 0.007, 0.0228),
}
)
"""
*Luo et al. (2006)* fitting coefficients for the *CAM02-LCD*, *CAM02-SCD*, and
*CAM02-UCS* colourspaces.
"""
def JMh_CIECAM02_to_UCS_Luo2006(
JMh: ArrayLike, coefficients: ArrayLike
) -> NDArrayFloat:
"""
Convert from *CIECAM02* :math:`JMh` correlates array to one of the
*Luo et al. (2006)* *CAM02-LCD*, *CAM02-SCD*, or *CAM02-UCS* colourspaces
:math:`J'a'b'` array.
The :math:`JMh` correlates array is constructed using the CIECAM02
correlate of *Lightness* :math:`J`, the *CIECAM02* correlate of
*colourfulness* :math:`M` and the *CIECAM02* *Hue* angle :math:`h` in
degrees.
Parameters
----------
JMh
*CIECAM02* correlates array :math:`JMh`.
coefficients
Coefficients of one of the *Luo et al. (2006)* *CAM02-LCD*,
*CAM02-SCD*, or *CAM02-UCS* colourspaces.
Returns
-------
:class:`numpy.ndarray`
*Luo et al. (2006)* *CAM02-LCD*, *CAM02-SCD*, or *CAM02-UCS*
colourspaces :math:`J'a'b'` array.
Notes
-----
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``JMh`` | ``J`` : [0, 100] | ``J`` : [0, 1] |
| | | |
| | ``M`` : [0, 100] | ``M`` : [0, 1] |
| | | |
| | ``h`` : [0, 360] | ``h`` : [0, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
Examples
--------
>>> from colour.appearance import (
... VIEWING_CONDITIONS_CIECAM02,
... XYZ_to_CIECAM02,
... )
>>> XYZ = np.array([19.01, 20.00, 21.78])
>>> XYZ_w = np.array([95.05, 100.00, 108.88])
>>> L_A = 318.31
>>> Y_b = 20.0
>>> surround = VIEWING_CONDITIONS_CIECAM02["Average"]
>>> specification = XYZ_to_CIECAM02(XYZ, XYZ_w, L_A, Y_b, surround)
>>> JMh = (specification.J, specification.M, specification.h)
>>> JMh_CIECAM02_to_UCS_Luo2006(JMh, COEFFICIENTS_UCS_LUO2006["CAM02-LCD"])
... # doctest: +ELLIPSIS
array([ 54.9043313..., -0.0845039..., -0.0685483...])
"""
J, M, h = tsplit(JMh)
J = to_domain_100(J)
M = to_domain_100(M)
h = to_domain_degrees(h)
_K_L, c_1, c_2 = tsplit(coefficients)
J_p = ((1 + 100 * c_1) * J) / (1 + c_1 * J)
M_p = (1 / c_2) * np.log1p(c_2 * M)
a_p, b_p = tsplit(polar_to_cartesian(tstack([M_p, np.radians(h)])))
Jpapbp = tstack([J_p, a_p, b_p])
return from_range_100(Jpapbp)
def UCS_Luo2006_to_JMh_CIECAM02(
Jpapbp: ArrayLike, coefficients: ArrayLike
) -> NDArrayFloat:
"""
Convert from one of the *Luo et al. (2006)* *CAM02-LCD*, *CAM02-SCD*, or
*CAM02-UCS* colourspaces :math:`J'a'b'` array to *CIECAM02* :math:`JMh`
correlates array.
Parameters
----------
Jpapbp
*Luo et al. (2006)* *CAM02-LCD*, *CAM02-SCD*, or *CAM02-UCS*
colourspaces :math:`J'a'b'` array.
coefficients
Coefficients of one of the *Luo et al. (2006)* *CAM02-LCD*,
*CAM02-SCD*, or *CAM02-UCS* colourspaces.
Returns
-------
:class:`numpy.ndarray`
*CIECAM02* correlates array :math:`JMh`.
Notes
-----
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``JMh`` | ``J`` : [0, 100] | ``J`` : [0, 1] |
| | | |
| | ``M`` : [0, 100] | ``M`` : [0, 1] |
| | | |
| | ``h`` : [0, 360] | ``h`` : [0, 1] |
+------------+------------------------+------------------+
Examples
--------
>>> Jpapbp = np.array([54.90433134, -0.08450395, -0.06854831])
>>> UCS_Luo2006_to_JMh_CIECAM02(Jpapbp, COEFFICIENTS_UCS_LUO2006["CAM02-LCD"])
... # doctest: +ELLIPSIS
array([ 4.1731091...e+01, 1.0884217...e-01, 2.1904843...e+02])
"""
J_p, a_p, b_p = tsplit(to_domain_100(Jpapbp))
_K_L, c_1, c_2 = tsplit(coefficients)
J = -J_p / (c_1 * J_p - 1 - 100 * c_1)
M_p, h = tsplit(cartesian_to_polar(tstack([a_p, b_p])))
M = np.expm1(M_p / (1 / c_2)) / c_2
JMh = tstack(
[
from_range_100(J),
from_range_100(M),
from_range_degrees(np.degrees(h) % 360),
]
)
return JMh
[docs]
def JMh_CIECAM02_to_CAM02LCD(JMh: ArrayLike) -> NDArrayFloat:
"""
Convert from *CIECAM02* :math:`JMh` correlates array to
*Luo et al. (2006)* *CAM02-LCD* colourspace :math:`J'a'b'` array.
Parameters
----------
JMh
*CIECAM02* correlates array :math:`JMh`.
Returns
-------
:class:`numpy.ndarray`
*Luo et al. (2006)* *CAM02-LCD* colourspace :math:`J'a'b'` array.
Notes
-----
- *LCD* in *CAM02-LCD* stands for *Large Colour Differences*.
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``JMh`` | ``J`` : [0, 100] | ``J`` : [0, 1] |
| | | |
| | ``M`` : [0, 100] | ``M`` : [0, 1] |
| | | |
| | ``h`` : [0, 360] | ``h`` : [0, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
References
----------
:cite:`Luo2006b`
Examples
--------
>>> from colour.appearance import (
... VIEWING_CONDITIONS_CIECAM02,
... XYZ_to_CIECAM02,
... )
>>> XYZ = np.array([19.01, 20.00, 21.78])
>>> XYZ_w = np.array([95.05, 100.00, 108.88])
>>> L_A = 318.31
>>> Y_b = 20.0
>>> surround = VIEWING_CONDITIONS_CIECAM02["Average"]
>>> specification = XYZ_to_CIECAM02(XYZ, XYZ_w, L_A, Y_b, surround)
>>> JMh = (specification.J, specification.M, specification.h)
>>> JMh_CIECAM02_to_CAM02LCD(JMh) # doctest: +ELLIPSIS
array([ 54.9043313..., -0.0845039..., -0.0685483...])
"""
return JMh_CIECAM02_to_UCS_Luo2006(
JMh, coefficients=COEFFICIENTS_UCS_LUO2006["CAM02-LCD"]
)
[docs]
def CAM02LCD_to_JMh_CIECAM02(Jpapbp: ArrayLike) -> NDArrayFloat:
"""
Convert from *Luo et al. (2006)* *CAM02-LCD* colourspace :math:`J'a'b'`
array to *CIECAM02* :math:`JMh` correlates array.
Parameters
----------
Jpapbp
*Luo et al. (2006)* *CAM02-LCD* colourspace :math:`J'a'b'` array.
Returns
-------
:class:`numpy.ndarray`
*CIECAM02* correlates array :math:`JMh`.
Notes
-----
- *LCD* in *CAM02-LCD* stands for *Large Colour Differences*.
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``JMh`` | ``J`` : [0, 100] | ``J`` : [0, 1] |
| | | |
| | ``M`` : [0, 100] | ``M`` : [0, 1] |
| | | |
| | ``h`` : [0, 360] | ``h`` : [0, 1] |
+------------+------------------------+------------------+
References
----------
:cite:`Luo2006b`
Examples
--------
>>> Jpapbp = np.array([54.90433134, -0.08450395, -0.06854831])
>>> CAM02LCD_to_JMh_CIECAM02(Jpapbp) # doctest: +ELLIPSIS
array([ 4.1731091...e+01, 1.0884217...e-01, 2.1904843...e+02])
"""
return UCS_Luo2006_to_JMh_CIECAM02(
Jpapbp, coefficients=COEFFICIENTS_UCS_LUO2006["CAM02-LCD"]
)
[docs]
def JMh_CIECAM02_to_CAM02SCD(JMh: ArrayLike) -> NDArrayFloat:
"""
Convert from *CIECAM02* :math:`JMh` correlates array to
*Luo et al. (2006)* *CAM02-SCD* colourspace :math:`J'a'b'` array.
Parameters
----------
JMh
*CIECAM02* correlates array :math:`JMh`.
Returns
-------
:class:`numpy.ndarray`
*Luo et al. (2006)* *CAM02-SCD* colourspace :math:`J'a'b'` array.
Notes
-----
- *SCD* in *CAM02-SCD* stands for *Small Colour Differences*.
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``JMh`` | ``J`` : [0, 100] | ``J`` : [0, 1] |
| | | |
| | ``M`` : [0, 100] | ``M`` : [0, 1] |
| | | |
| | ``h`` : [0, 360] | ``h`` : [0, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
References
----------
:cite:`Luo2006b`
Examples
--------
>>> from colour.appearance import (
... VIEWING_CONDITIONS_CIECAM02,
... XYZ_to_CIECAM02,
... )
>>> XYZ = np.array([19.01, 20.00, 21.78])
>>> XYZ_w = np.array([95.05, 100.00, 108.88])
>>> L_A = 318.31
>>> Y_b = 20.0
>>> surround = VIEWING_CONDITIONS_CIECAM02["Average"]
>>> specification = XYZ_to_CIECAM02(XYZ, XYZ_w, L_A, Y_b, surround)
>>> JMh = (specification.J, specification.M, specification.h)
>>> JMh_CIECAM02_to_CAM02SCD(JMh) # doctest: +ELLIPSIS
array([ 54.9043313..., -0.0843617..., -0.0684329...])
"""
return JMh_CIECAM02_to_UCS_Luo2006(
JMh, coefficients=COEFFICIENTS_UCS_LUO2006["CAM02-SCD"]
)
[docs]
def CAM02SCD_to_JMh_CIECAM02(Jpapbp: ArrayLike) -> NDArrayFloat:
"""
Convert from *Luo et al. (2006)* *CAM02-SCD* colourspace :math:`J'a'b'`
array to *CIECAM02* :math:`JMh` correlates array.
Parameters
----------
Jpapbp
*Luo et al. (2006)* *CAM02-SCD* colourspace :math:`J'a'b'` array.
Returns
-------
:class:`numpy.ndarray`
*CIECAM02* correlates array :math:`JMh`.
Notes
-----
- *SCD* in *CAM02-SCD* stands for *Small Colour Differences*.
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``JMh`` | ``J`` : [0, 100] | ``J`` : [0, 1] |
| | | |
| | ``M`` : [0, 100] | ``M`` : [0, 1] |
| | | |
| | ``h`` : [0, 360] | ``h`` : [0, 1] |
+------------+------------------------+------------------+
References
----------
:cite:`Luo2006b`
Examples
--------
>>> Jpapbp = np.array([54.90433134, -0.08436178, -0.06843298])
>>> CAM02SCD_to_JMh_CIECAM02(Jpapbp) # doctest: +ELLIPSIS
array([ 4.1731091...e+01, 1.0884217...e-01, 2.1904843...e+02])
"""
return UCS_Luo2006_to_JMh_CIECAM02(
Jpapbp, coefficients=COEFFICIENTS_UCS_LUO2006["CAM02-SCD"]
)
[docs]
def JMh_CIECAM02_to_CAM02UCS(JMh: ArrayLike) -> NDArrayFloat:
"""
Convert from *CIECAM02* :math:`JMh` correlates array to
*Luo et al. (2006)* *CAM02-UCS* colourspace :math:`J'a'b'` array.
Parameters
----------
JMh
*CIECAM02* correlates array :math:`JMh`.
Returns
-------
:class:`numpy.ndarray`
*Luo et al. (2006)* *CAM02-UCS* colourspace :math:`J'a'b'` array.
Notes
-----
- *UCS* in *CAM02-UCS* stands for *Uniform Colour Colourspace*.
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``JMh`` | ``J`` : [0, 100] | ``J`` : [0, 1] |
| | | |
| | ``M`` : [0, 100] | ``M`` : [0, 1] |
| | | |
| | ``h`` : [0, 360] | ``h`` : [0, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
References
----------
:cite:`Luo2006b`
Examples
--------
>>> from colour.appearance import (
... VIEWING_CONDITIONS_CIECAM02,
... XYZ_to_CIECAM02,
... )
>>> XYZ = np.array([19.01, 20.00, 21.78])
>>> XYZ_w = np.array([95.05, 100.00, 108.88])
>>> L_A = 318.31
>>> Y_b = 20.0
>>> surround = VIEWING_CONDITIONS_CIECAM02["Average"]
>>> specification = XYZ_to_CIECAM02(XYZ, XYZ_w, L_A, Y_b, surround)
>>> JMh = (specification.J, specification.M, specification.h)
>>> JMh_CIECAM02_to_CAM02UCS(JMh) # doctest: +ELLIPSIS
array([ 54.9043313..., -0.0844236..., -0.0684831...])
"""
return JMh_CIECAM02_to_UCS_Luo2006(
JMh, coefficients=COEFFICIENTS_UCS_LUO2006["CAM02-UCS"]
)
[docs]
def CAM02UCS_to_JMh_CIECAM02(Jpapbp: ArrayLike) -> NDArrayFloat:
"""
Convert from *Luo et al. (2006)* *CAM02-UCS* colourspace :math:`J'a'b'`
array to *CIECAM02* :math:`JMh` correlates array.
Parameters
----------
Jpapbp
*Luo et al. (2006)* *CAM02-UCS* colourspace :math:`J'a'b'` array.
Returns
-------
:class:`numpy.ndarray`
*CIECAM02* correlates array :math:`JMh`.
Notes
-----
- *UCS* in *CAM02-UCS* stands for *Uniform Colour Colourspace*.
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``JMh`` | ``J`` : [0, 100] | ``J`` : [0, 1] |
| | | |
| | ``M`` : [0, 100] | ``M`` : [0, 1] |
| | | |
| | ``h`` : [0, 360] | ``h`` : [0, 1] |
+------------+------------------------+------------------+
References
----------
:cite:`Luo2006b`
Examples
--------
>>> Jpapbp = np.array([54.90433134, -0.08442362, -0.06848314])
>>> CAM02UCS_to_JMh_CIECAM02(Jpapbp) # doctest: +ELLIPSIS
array([ 4.1731091...e+01, 1.0884217...e-01, 2.1904843...e+02])
"""
return UCS_Luo2006_to_JMh_CIECAM02(
Jpapbp, coefficients=COEFFICIENTS_UCS_LUO2006["CAM02-UCS"]
)
def XYZ_to_UCS_Luo2006(
XYZ: ArrayLike, coefficients: ArrayLike, **kwargs: Any
) -> NDArrayFloat:
"""
Convert from *CIE XYZ* tristimulus values to one of the
*Luo et al. (2006)* *CAM02-LCD*, *CAM02-SCD*, or *CAM02-UCS* colourspaces
:math:`J'a'b'` array.
Parameters
----------
XYZ
*CIE XYZ* tristimulus values.
coefficients
Coefficients of one of the *Luo et al. (2006)* *CAM02-LCD*,
*CAM02-SCD*, or *CAM02-UCS* colourspaces.
Other Parameters
----------------
kwargs
{:func:`colour.XYZ_to_CIECAM02`},
See the documentation of the previously listed definition. The default
viewing conditions are that of *IEC 61966-2-1:1999*, i.e., *sRGB* 64 Lux
ambient illumination, 80 :math:`cd/m^2`, adapting field luminance about
20% of a white object in the scene.
Returns
-------
:class:`numpy.ndarray`
*Luo et al. (2006)* *CAM02-LCD*, *CAM02-SCD*, or *CAM02-UCS*
colourspaces :math:`J'a'b'` array.
Warnings
--------
The ``XYZ_w`` parameter for :func:`colour.XYZ_to_CAM16` definition must be
given in the same domain-range scale than the ``XYZ`` parameter.
Notes
-----
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``XYZ`` | [0, 1] | [0, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
Examples
--------
>>> XYZ = np.array([0.20654008, 0.12197225, 0.05136952])
>>> XYZ_to_UCS_Luo2006(XYZ, COEFFICIENTS_UCS_LUO2006["CAM02-LCD"])
... # doctest: +ELLIPSIS
array([ 46.6138615..., 39.3576023..., 15.9673043...])
"""
from colour.appearance import CAM_KWARGS_CIECAM02_sRGB, XYZ_to_CIECAM02
domain_range_reference = get_domain_range_scale() == "reference"
settings = CAM_KWARGS_CIECAM02_sRGB.copy()
settings.update(**kwargs)
XYZ_w = kwargs.get("XYZ_w")
if XYZ_w is not None and domain_range_reference:
settings["XYZ_w"] = XYZ_w * 100
if domain_range_reference:
XYZ = as_float_array(XYZ) * 100
specification = XYZ_to_CIECAM02(XYZ, **settings)
JMh = tstack(
[
cast(NDArrayFloat, specification.J),
cast(NDArrayFloat, specification.M),
cast(NDArrayFloat, specification.h),
]
)
return JMh_CIECAM02_to_UCS_Luo2006(JMh, coefficients)
def UCS_Luo2006_to_XYZ(
Jpapbp: ArrayLike, coefficients: ArrayLike, **kwargs: Any
) -> NDArrayFloat:
"""
Convert from one of the *Luo et al. (2006)* *CAM02-LCD*, *CAM02-SCD*, or
*CAM02-UCS* colourspaces :math:`J'a'b'` array to *CIE XYZ* tristimulus
values.
Parameters
----------
Jpapbp
*Luo et al. (2006)* *CAM02-LCD*, *CAM02-SCD*, or *CAM02-UCS*
colourspaces :math:`J'a'b'` array.
coefficients
Coefficients of one of the *Luo et al. (2006)* *CAM02-LCD*,
*CAM02-SCD*, or *CAM02-UCS* colourspaces.
Other Parameters
----------------
kwargs
{:func:`colour.CIECAM02_to_XYZ`},
See the documentation of the previously listed definition. The default
viewing conditions are that of *IEC 61966-2-1:1999*, i.e., *sRGB* 64 Lux
ambient illumination, 80 :math:`cd/m^2`, adapting field luminance about
20% of a white object in the scene.
Returns
-------
:class:`numpy.ndarray`
*CIE XYZ* tristimulus values.
Warnings
--------
The ``XYZ_w`` parameter for :func:`colour.XYZ_to_CAM16` definition must be
given in the same domain-range scale than the ``XYZ`` parameter.
Notes
-----
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``XYZ`` | [0, 1] | [0, 1] |
+------------+------------------------+------------------+
Examples
--------
>>> Jpapbp = np.array([46.61386154, 39.35760236, 15.96730435])
>>> UCS_Luo2006_to_XYZ(Jpapbp, COEFFICIENTS_UCS_LUO2006["CAM02-LCD"])
... # doctest: +ELLIPSIS
array([ 0.2065400..., 0.1219722..., 0.0513695...])
"""
from colour.appearance import (
CAM_KWARGS_CIECAM02_sRGB,
CAM_Specification_CIECAM02,
CIECAM02_to_XYZ,
)
domain_range_reference = get_domain_range_scale() == "reference"
settings = CAM_KWARGS_CIECAM02_sRGB.copy()
settings.update(**kwargs)
XYZ_w = kwargs.get("XYZ_w")
if XYZ_w is not None and domain_range_reference:
settings["XYZ_w"] = XYZ_w * 100
J, M, h = tsplit(UCS_Luo2006_to_JMh_CIECAM02(Jpapbp, coefficients))
specification = CAM_Specification_CIECAM02(J=J, M=M, h=h)
XYZ = CIECAM02_to_XYZ(specification, **settings)
if domain_range_reference:
XYZ /= 100
return XYZ
[docs]
def XYZ_to_CAM02LCD(XYZ: ArrayLike, **kwargs: Any) -> NDArrayFloat:
"""
Convert from *CIE XYZ* tristimulus values to *Luo et al. (2006)*
*CAM02-LCD* colourspace :math:`J'a'b'` array.
Parameters
----------
XYZ
*CIE XYZ* tristimulus values.
Other Parameters
----------------
kwargs
{:func:`colour.XYZ_to_CIECAM02`},
See the documentation of the previously listed definition. The default
viewing conditions are that of *IEC 61966-2-1:1999*, i.e., *sRGB* 64 Lux
ambient illumination, 80 :math:`cd/m^2`, adapting field luminance about
20% of a white object in the scene.
Returns
-------
:class:`numpy.ndarray`
*Luo et al. (2006)* *CAM02-LCD* colourspace :math:`J'a'b'` array.
Warnings
--------
The ``XYZ_w`` parameter for :func:`colour.XYZ_to_CAM16` definition must be
given in the same domain-range scale than the ``XYZ`` parameter.
Notes
-----
- *LCD* in *CAM02-LCD* stands for *Large Colour Differences*.
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``XYZ`` | [0, 1] | [0, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
References
----------
:cite:`Luo2006b`
Examples
--------
>>> XYZ = np.array([0.20654008, 0.12197225, 0.05136952])
>>> XYZ_to_CAM02LCD(XYZ) # doctest: +ELLIPSIS
array([ 46.6138615..., 39.3576023..., 15.9673043...])
"""
return XYZ_to_UCS_Luo2006(
XYZ, coefficients=COEFFICIENTS_UCS_LUO2006["CAM02-LCD"], **kwargs
)
[docs]
def CAM02LCD_to_XYZ(Jpapbp: ArrayLike, **kwargs: Any) -> NDArrayFloat:
"""
Convert from *Luo et al. (2006)* *CAM02-LCD* colourspace :math:`J'a'b'`
array to *CIE XYZ* tristimulus values.
Parameters
----------
Jpapbp
*Luo et al. (2006)* *CAM02-LCD* colourspace :math:`J'a'b'` array.
Other Parameters
----------------
kwargs
{:func:`colour.CIECAM02_to_XYZ`},
See the documentation of the previously listed definition. The default
viewing conditions are that of *IEC 61966-2-1:1999*, i.e., *sRGB* 64 Lux
ambient illumination, 80 :math:`cd/m^2`, adapting field luminance about
20% of a white object in the scene.
Returns
-------
:class:`numpy.ndarray`
*CIE XYZ* tristimulus values.
Warnings
--------
The ``XYZ_w`` parameter for :func:`colour.XYZ_to_CAM16` definition must be
given in the same domain-range scale than the ``XYZ`` parameter.
Notes
-----
- *LCD* in *CAM02-LCD* stands for *Large Colour Differences*.
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``XYZ`` | [0, 1] | [0, 1] |
+------------+------------------------+------------------+
References
----------
:cite:`Luo2006b`
Examples
--------
>>> Jpapbp = np.array([46.61386154, 39.35760236, 15.96730435])
>>> CAM02LCD_to_XYZ(Jpapbp) # doctest: +ELLIPSIS
array([ 0.2065400..., 0.1219722..., 0.0513695...])
"""
return UCS_Luo2006_to_XYZ(
Jpapbp, coefficients=COEFFICIENTS_UCS_LUO2006["CAM02-LCD"], **kwargs
)
[docs]
def XYZ_to_CAM02SCD(XYZ: ArrayLike, **kwargs: Any) -> NDArrayFloat:
"""
Convert from *CIE XYZ* tristimulus values to *Luo et al. (2006)*
*CAM02-SCD* colourspace :math:`J'a'b'` array.
Parameters
----------
XYZ
*CIE XYZ* tristimulus values.
Other Parameters
----------------
kwargs
{:func:`colour.XYZ_to_CIECAM02`},
See the documentation of the previously listed definition. The default
viewing conditions are that of *IEC 61966-2-1:1999*, i.e., *sRGB* 64 Lux
ambient illumination, 80 :math:`cd/m^2`, adapting field luminance about
20% of a white object in the scene.
Returns
-------
:class:`numpy.ndarray`
*Luo et al. (2006)* *CAM02-SCD* colourspace :math:`J'a'b'` array.
Warnings
--------
The ``XYZ_w`` parameter for :func:`colour.XYZ_to_CAM16` definition must be
given in the same domain-range scale than the ``XYZ`` parameter.
Notes
-----
- *SCD* in *CAM02-SCD* stands for *Small Colour Differences*.
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``XYZ`` | [0, 1] | [0, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
References
----------
:cite:`Luo2006b`
Examples
--------
>>> XYZ = np.array([0.20654008, 0.12197225, 0.05136952])
>>> XYZ_to_CAM02SCD(XYZ) # doctest: +ELLIPSIS
array([ 46.6138615..., 25.6287988..., 10.3975548...])
"""
return XYZ_to_UCS_Luo2006(
XYZ, coefficients=COEFFICIENTS_UCS_LUO2006["CAM02-SCD"], **kwargs
)
[docs]
def CAM02SCD_to_XYZ(Jpapbp: ArrayLike, **kwargs: Any) -> NDArrayFloat:
"""
Convert from *Luo et al. (2006)* *CAM02-SCD* colourspace :math:`J'a'b'`
array to *CIE XYZ* tristimulus values.
Parameters
----------
Jpapbp
*Luo et al. (2006)* *CAM02-SCD* colourspace :math:`J'a'b'` array.
Other Parameters
----------------
kwargs
{:func:`colour.CIECAM02_to_XYZ`},
See the documentation of the previously listed definition. The default
viewing conditions are that of *IEC 61966-2-1:1999*, i.e., *sRGB* 64 Lux
ambient illumination, 80 :math:`cd/m^2`, adapting field luminance about
20% of a white object in the scene.
Returns
-------
:class:`numpy.ndarray`
*CIE XYZ* tristimulus values.
Warnings
--------
The ``XYZ_w`` parameter for :func:`colour.XYZ_to_CAM16` definition must be
given in the same domain-range scale than the ``XYZ`` parameter.
Notes
-----
- *SCD* in *CAM02-SCD* stands for *Small Colour Differences*.
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``XYZ`` | [0, 1] | [0, 1] |
+------------+------------------------+------------------+
References
----------
:cite:`Luo2006b`
Examples
--------
>>> Jpapbp = np.array([46.61386154, 25.62879882, 10.39755489])
>>> CAM02SCD_to_XYZ(Jpapbp) # doctest: +ELLIPSIS
array([ 0.2065400..., 0.1219722..., 0.0513695...])
"""
return UCS_Luo2006_to_XYZ(
Jpapbp, coefficients=COEFFICIENTS_UCS_LUO2006["CAM02-SCD"], **kwargs
)
[docs]
def XYZ_to_CAM02UCS(XYZ: ArrayLike, **kwargs: Any) -> NDArrayFloat:
"""
Convert from *CIE XYZ* tristimulus values to *Luo et al. (2006)*
*CAM02-UCS* colourspace :math:`J'a'b'` array.
Parameters
----------
XYZ
*CIE XYZ* tristimulus values.
Other Parameters
----------------
kwargs
{:func:`colour.XYZ_to_CIECAM02`},
See the documentation of the previously listed definition. The default
viewing conditions are that of *IEC 61966-2-1:1999*, i.e., *sRGB* 64 Lux
ambient illumination, 80 :math:`cd/m^2`, adapting field luminance about
20% of a white object in the scene.
Returns
-------
:class:`numpy.ndarray`
*Luo et al. (2006)* *CAM02-UCS* colourspace :math:`J'a'b'` array.
Warnings
--------
The ``XYZ_w`` parameter for :func:`colour.XYZ_to_CAM16` definition must be
given in the same domain-range scale than the ``XYZ`` parameter.
Notes
-----
- *UCS* in *CAM02-UCS* stands for *Uniform Colour Space*.
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``XYZ`` | [0, 1] | [0, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
References
----------
:cite:`Luo2006b`
Examples
--------
>>> XYZ = np.array([0.20654008, 0.12197225, 0.05136952])
>>> XYZ_to_CAM02UCS(XYZ) # doctest: +ELLIPSIS
array([ 46.6138615..., 29.8831001..., 12.1235168...])
"""
return XYZ_to_UCS_Luo2006(
XYZ, coefficients=COEFFICIENTS_UCS_LUO2006["CAM02-UCS"], **kwargs
)
[docs]
def CAM02UCS_to_XYZ(Jpapbp: ArrayLike, **kwargs: Any) -> NDArrayFloat:
"""
Convert from *Luo et al. (2006)* *CAM02-UCS* colourspace :math:`J'a'b'`
array to *CIE XYZ* tristimulus values.
Parameters
----------
Jpapbp
*Luo et al. (2006)* *CAM02-UCS* colourspace :math:`J'a'b'` array.
Other Parameters
----------------
kwargs
{:func:`colour.CIECAM02_to_XYZ`},
See the documentation of the previously listed definition. The default
viewing conditions are that of *IEC 61966-2-1:1999*, i.e., *sRGB* 64 Lux
ambient illumination, 80 :math:`cd/m^2`, adapting field luminance about
20% of a white object in the scene.
Returns
-------
:class:`numpy.ndarray`
*CIE XYZ* tristimulus values.
Warnings
--------
The ``XYZ_w`` parameter for :func:`colour.XYZ_to_CAM16` definition must be
given in the same domain-range scale than the ``XYZ`` parameter.
Notes
-----
- *UCS* in *CAM02-UCS* stands for *Uniform Colour Space*.
+------------+------------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``Jpapbp`` | ``Jp`` : [0, 100] | ``Jp`` : [0, 1] |
| | | |
| | ``ap`` : [-100, 100] | ``ap`` : [-1, 1] |
| | | |
| | ``bp`` : [-100, 100] | ``bp`` : [-1, 1] |
+------------+------------------------+------------------+
+------------+------------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+========================+==================+
| ``XYZ`` | [0, 1] | [0, 1] |
+------------+------------------------+------------------+
References
----------
:cite:`Luo2006b`
Examples
--------
>>> Jpapbp = np.array([46.61386154, 29.88310013, 12.12351683])
>>> CAM02UCS_to_XYZ(Jpapbp) # doctest: +ELLIPSIS
array([ 0.2065400..., 0.1219722..., 0.0513695...])
"""
return UCS_Luo2006_to_XYZ(
Jpapbp, coefficients=COEFFICIENTS_UCS_LUO2006["CAM02-UCS"], **kwargs
)
