Source code for colour.models.rgb.transfer_functions.arib_std_b67

# -*- coding: utf-8 -*-
"""
ARIB STD-B67 (Hybrid Log-Gamma)
===============================

Defines *ARIB STD-B67 (Hybrid Log-Gamma)* opto-electrical transfer function
(OETF / OECF) and its reverse:

-   :func:`colour.models.oetf_ARIBSTDB67`
-   :func:`colour.models.oetf_reverse_ARIBSTDB67`

See Also
--------
`RGB Colourspaces Jupyter Notebook
<http://nbviewer.jupyter.org/github/colour-science/colour-notebooks/\
blob/master/notebooks/models/rgb.ipynb>`_

References
----------
-   :cite:`AssociationofRadioIndustriesandBusinesses2015a` : Association of
    Radio Industries and Businesses. (2015). Essential Parameter Values for the
    Extended Image Dynamic Range Television (EIDRTV) System for Programme
    Production. Retrieved from
    https://www.arib.or.jp/english/std_tr/broadcasting/desc/std-b67.html
"""

from __future__ import division, unicode_literals

import numpy as np

from colour.utilities import Structure, as_numeric

__author__ = 'Colour Developers'
__copyright__ = 'Copyright (C) 2013-2018 - Colour Developers'
__license__ = 'New BSD License - http://opensource.org/licenses/BSD-3-Clause'
__maintainer__ = 'Colour Developers'
__email__ = 'colour-science@googlegroups.com'
__status__ = 'Production'

__all__ = [
    'ARIBSTDB67_CONSTANTS', 'oetf_ARIBSTDB67', 'oetf_reverse_ARIBSTDB67'
]

ARIBSTDB67_CONSTANTS = Structure(a=0.17883277, b=0.28466892, c=0.55991073)
"""
*ARIB STD-B67 (Hybrid Log-Gamma)* constants.

ARIBSTDB67_CONSTANTS : Structure
"""


[docs]def oetf_ARIBSTDB67(E, r=0.5): """ Defines *ARIB STD-B67 (Hybrid Log-Gamma)* opto-electrical transfer function (OETF / OECF). Parameters ---------- E : numeric or array_like Voltage normalized by the reference white level and proportional to the implicit light intensity that would be detected with a reference camera color channel R, G, B. r : numeric, optional Video level corresponding to reference white level. Returns ------- numeric or ndarray Resulting non-linear signal :math:`E'`. References ---------- - :cite:`AssociationofRadioIndustriesandBusinesses2015a` Examples -------- >>> oetf_ARIBSTDB67(0.18) # doctest: +ELLIPSIS 0.2121320... """ E = np.asarray(E) a = ARIBSTDB67_CONSTANTS.a b = ARIBSTDB67_CONSTANTS.b c = ARIBSTDB67_CONSTANTS.c E_p = np.where(E <= 1, r * np.sqrt(E), a * np.log(E - b) + c) return as_numeric(E_p)
[docs]def oetf_reverse_ARIBSTDB67(E_p, r=0.5): """ Defines *ARIB STD-B67 (Hybrid Log-Gamma)* reverse opto-electrical transfer function (OETF / OECF). Parameters ---------- E_p : numeric or array_like Non-linear signal :math:`E'`. r : numeric, optional Video level corresponding to reference white level. Returns ------- numeric or ndarray Voltage :math:`E` normalized by the reference white level and proportional to the implicit light intensity that would be detected with a reference camera color channel R, G, B. References ---------- - :cite:`AssociationofRadioIndustriesandBusinesses2015a` Examples -------- >>> oetf_reverse_ARIBSTDB67(0.212132034355964) # doctest: +ELLIPSIS 0.1799999... """ E_p = np.asarray(E_p) a = ARIBSTDB67_CONSTANTS.a b = ARIBSTDB67_CONSTANTS.b c = ARIBSTDB67_CONSTANTS.c E = np.where(E_p <= oetf_ARIBSTDB67(1), (E_p / r) ** 2, np.exp((E_p - c) / a) + b) return as_numeric(E)