"""
Oklab Colourspace
=================
Defines the *Oklab* colourspace transformations:
- :func:`colour.XYZ_to_Oklab`
- :func:`colour.Oklab_to_XYZ`
References
----------
- :cite:`Ottosson2020` : Ottosson, B. (2020). A perceptual color space for
image processing. Retrieved December 24, 2020, from
https://bottosson.github.io/posts/oklab/
"""
from __future__ import annotations
from functools import partial
import numpy as np
from colour.algebra import spow
from colour.hints import ArrayLike, NDArrayFloat
from colour.models import Iab_to_XYZ, XYZ_to_Iab
__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__ = [
"MATRIX_1_XYZ_TO_LMS",
"MATRIX_1_LMS_TO_XYZ",
"MATRIX_2_LMS_TO_LAB",
"MATRIX_2_LAB_TO_LMS",
"XYZ_to_Oklab",
"Oklab_to_XYZ",
]
MATRIX_1_XYZ_TO_LMS: NDArrayFloat = np.array(
[
[0.8189330101, 0.3618667424, -0.1288597137],
[0.0329845436, 0.9293118715, 0.0361456387],
[0.0482003018, 0.2643662691, 0.6338517070],
]
)
"""*CIE XYZ* tristimulus values to normalised cone responses matrix."""
MATRIX_1_LMS_TO_XYZ: NDArrayFloat = np.linalg.inv(MATRIX_1_XYZ_TO_LMS)
"""Normalised cone responses to *CIE XYZ* tristimulus values matrix."""
MATRIX_2_LMS_TO_LAB: NDArrayFloat = np.array(
[
[0.2104542553, 0.7936177850, -0.0040720468],
[1.9779984951, -2.4285922050, 0.4505937099],
[0.0259040371, 0.7827717662, -0.8086757660],
]
)
"""Normalised cone responses to *Oklab* colourspace matrix."""
MATRIX_2_LAB_TO_LMS: NDArrayFloat = np.linalg.inv(MATRIX_2_LMS_TO_LAB)
"""*Oklab* colourspace to normalised cone responses matrix."""
[docs]
def XYZ_to_Oklab(XYZ: ArrayLike) -> NDArrayFloat:
"""
Convert from *CIE XYZ* tristimulus values to *Oklab* colourspace.
Parameters
----------
XYZ
*CIE XYZ* tristimulus values.
Returns
-------
:class:`numpy.ndarray`
*Oklab* colourspace array.
Notes
-----
+------------+-----------------------+-----------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+=======================+=================+
| ``XYZ`` | [0, 1] | [0, 1] |
+------------+-----------------------+-----------------+
+------------+-----------------------+-----------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+=======================+=================+
| ``Lab`` | ``L`` : [0, 1] | ``L`` : [0, 1] |
| | | |
| | ``a`` : [-1, 1] | ``a`` : [-1, 1] |
| | | |
| | ``b`` : [-1, 1] | ``b`` : [-1, 1] |
+------------+-----------------------+-----------------+
- Input *CIE XYZ* tristimulus values must be adapted to
*CIE Standard Illuminant D Series* *D65*.
References
----------
:cite:`Ottosson2020`
Examples
--------
>>> XYZ = np.array([0.20654008, 0.12197225, 0.05136952])
>>> XYZ_to_Oklab(XYZ) # doctest: +ELLIPSIS
array([ 0.5163401..., 0.154695 ..., 0.0628957...])
"""
return XYZ_to_Iab(
XYZ,
partial(spow, p=1 / 3),
MATRIX_1_XYZ_TO_LMS,
MATRIX_2_LMS_TO_LAB,
)
[docs]
def Oklab_to_XYZ(Lab: ArrayLike) -> NDArrayFloat:
"""
Convert from *Oklab* colourspace to *CIE XYZ* tristimulus values.
Parameters
----------
Lab
*Oklab* colourspace array.
Returns
-------
:class:`numpy.ndarray`
*CIE XYZ* tristimulus values.
Notes
-----
+------------+-----------------------+-----------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+=======================+=================+
| ``Lab`` | ``L`` : [0, 1] | ``L`` : [0, 1] |
| | | |
| | ``a`` : [-1, 1] | ``a`` : [-1, 1] |
| | | |
| | ``b`` : [-1, 1] | ``b`` : [-1, 1] |
+------------+-----------------------+-----------------+
+------------+-----------------------+-----------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+=======================+=================+
| ``XYZ`` | [0, 1] | [0, 1] |
+------------+-----------------------+-----------------+
References
----------
:cite:`Ottosson2020`
Examples
--------
>>> Lab = np.array([0.51634019, 0.15469500, 0.06289579])
>>> Oklab_to_XYZ(Lab) # doctest: +ELLIPSIS
array([ 0.2065400..., 0.1219722..., 0.0513695...])
"""
return Iab_to_XYZ(
Lab,
partial(spow, p=3),
MATRIX_2_LAB_TO_LMS,
MATRIX_1_LMS_TO_XYZ,
)