# -*- coding: utf-8 -*-
"""
:math:`IC_TC_P` Colour Encoding
===============================
Defines the :math:`IC_TC_P` colour encoding related transformations:
- :func:`colour.RGB_to_ICTCP`
- :func:`colour.ICTCP_to_RGB`
See Also
--------
`ICTCP Colourspace Jupyter Notebook
<http://nbviewer.jupyter.org/github/colour-science/colour-notebooks/\
blob/master/notebooks/models/ictcp.ipynb>`_
References
----------
- :cite:`Dolby2016a` : Dolby. (2016). WHAT IS ICTCP? - INTRODUCTION.
Retrieved from https://www.dolby.com/us/en/technologies/dolby-vision/\
ICtCp-white-paper.pdf
- :cite:`Lu2016c` : Lu, T., Pu, F., Yin, P., Chen, T., Husak, W.,
Pytlarz, J., Su, G.-M. (2016). ITP Colour Space and Its Compression
Performance for High Dynamic Range and Wide Colour Gamut Video
Distribution. ZTE Communications, 14(1), 32-38. Retrieved from
http://www.cnki.net/kcms/detail/34.1294.TN.20160205.1903.006.html
"""
from __future__ import division, unicode_literals
import numpy as np
from colour.models.rgb.transfer_functions import oetf_ST2084, eotf_ST2084
from colour.utilities import (domain_range_scale, dot_vector, from_range_1,
to_domain_1)
__author__ = 'Colour Developers'
__copyright__ = 'Copyright (C) 2013-2019 - Colour Developers'
__license__ = 'New BSD License - http://opensource.org/licenses/BSD-3-Clause'
__maintainer__ = 'Colour Developers'
__email__ = 'colour-science@googlegroups.com'
__status__ = 'Production'
__all__ = [
'ICTCP_RGB_TO_LMS_MATRIX', 'ICTCP_LMS_TO_RGB_MATRIX',
'ICTCP_LMS_P_TO_ICTCP_MATRIX', 'ICTCP_ICTCP_TO_LMS_P_MATRIX',
'RGB_to_ICTCP', 'ICTCP_to_RGB'
]
ICTCP_RGB_TO_LMS_MATRIX = np.array([
[1688, 2146, 262],
[683, 2951, 462],
[99, 309, 3688],
]) / 4096
"""
*ITU-R BT.2020* colourspace to normalised cone responses matrix.
ICTCP_RGB_TO_LMS_MATRIX : array_like, (3, 3)
"""
ICTCP_LMS_TO_RGB_MATRIX = np.linalg.inv(ICTCP_RGB_TO_LMS_MATRIX)
"""
:math:`IC_TC_P` colourspace normalised cone responses to *ITU-R BT.2020*
colourspace matrix.
ICTCP_LMS_TO_RGB_MATRIX : array_like, (3, 3)
"""
ICTCP_LMS_P_TO_ICTCP_MATRIX = np.array([
[2048, 2048, 0],
[6610, -13613, 7003],
[17933, -17390, -543],
]) / 4096
"""
:math:`LMS_p` *SMPTE ST 2084:2014* encoded normalised cone responses to
:math:`IC_TC_P` colour encoding matrix.
ICTCP_LMS_P_TO_ICTCP_MATRIX : array_like, (3, 3)
"""
ICTCP_ICTCP_TO_LMS_P_MATRIX = np.linalg.inv(ICTCP_LMS_P_TO_ICTCP_MATRIX)
"""
:math:`IC_TC_P` colour encoding to :math:`LMS_p` *SMPTE ST 2084:2014* encoded
normalised cone responses matrix.
ICTCP_ICTCP_TO_LMS_P_MATRIX : array_like, (3, 3)
"""
[docs]def RGB_to_ICTCP(RGB, L_p=10000):
"""
Converts from *ITU-R BT.2020* colourspace to :math:`IC_TC_P` colour
encoding.
Parameters
----------
RGB : array_like
*ITU-R BT.2020* colourspace array.
L_p : numeric, optional
Display peak luminance :math:`cd/m^2` for *SMPTE ST 2084:2014*
non-linear encoding.
Returns
-------
ndarray
:math:`IC_TC_P` colour encoding array.
Notes
-----
+------------+-----------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+=======================+==================+
| ``RGB`` | [0, 1] | [0, 1] |
+------------+-----------------------+------------------+
+------------+-----------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+=======================+==================+
| ``ICTCP`` | ``I`` : [0, 1] | ``I`` : [0, 1] |
| | | |
| | ``CT`` : [-1, 1] | ``CT`` : [-1, 1] |
| | | |
| | ``CP`` : [-1, 1] | ``CP`` : [-1, 1] |
+------------+-----------------------+------------------+
References
----------
:cite:`Dolby2016a`, :cite:`Lu2016c`
Examples
--------
>>> RGB = np.array([0.45620519, 0.03081071, 0.04091952])
>>> RGB_to_ICTCP(RGB) # doctest: +ELLIPSIS
array([ 0.0735136..., 0.0047525..., 0.0935159...])
"""
RGB = to_domain_1(RGB)
LMS = dot_vector(ICTCP_RGB_TO_LMS_MATRIX, RGB)
with domain_range_scale('ignore'):
LMS_p = oetf_ST2084(LMS, L_p)
ICTCP = dot_vector(ICTCP_LMS_P_TO_ICTCP_MATRIX, LMS_p)
return from_range_1(ICTCP)
[docs]def ICTCP_to_RGB(ICTCP, L_p=10000):
"""
Converts from :math:`IC_TC_P` colour encoding to *ITU-R BT.2020*
colourspace.
Parameters
----------
ICTCP : array_like
:math:`IC_TC_P` colour encoding array.
L_p : numeric, optional
Display peak luminance :math:`cd/m^2` for *SMPTE ST 2084:2014*
non-linear encoding.
Returns
-------
ndarray
*ITU-R BT.2020* colourspace array.
Notes
-----
+------------+-----------------------+------------------+
| **Domain** | **Scale - Reference** | **Scale - 1** |
+============+=======================+==================+
| ``ICTCP`` | ``I`` : [0, 1] | ``I`` : [0, 1] |
| | | |
| | ``CT`` : [-1, 1] | ``CT`` : [-1, 1] |
| | | |
| | ``CP`` : [-1, 1] | ``CP`` : [-1, 1] |
+------------+-----------------------+------------------+
+------------+-----------------------+------------------+
| **Range** | **Scale - Reference** | **Scale - 1** |
+============+=======================+==================+
| ``RGB`` | [0, 1] | [0, 1] |
+------------+-----------------------+------------------+
References
----------
:cite:`Dolby2016a`, :cite:`Lu2016c`
Examples
--------
>>> ICTCP = np.array([0.07351364, 0.00475253, 0.09351596])
>>> ICTCP_to_RGB(ICTCP) # doctest: +ELLIPSIS
array([ 0.4562052..., 0.0308107..., 0.0409195...])
"""
ICTCP = to_domain_1(ICTCP)
LMS_p = dot_vector(ICTCP_ICTCP_TO_LMS_P_MATRIX, ICTCP)
with domain_range_scale('ignore'):
LMS = eotf_ST2084(LMS_p, L_p)
RGB = dot_vector(ICTCP_LMS_TO_RGB_MATRIX, LMS)
return from_range_1(RGB)