💿🐜 Antkeeper source code https://antkeeper.com
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/*
* Copyright (C) 2023 Christopher J. Howard
*
* This file is part of Antkeeper source code.
*
* Antkeeper source code is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* Antkeeper source code is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with Antkeeper source code. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef ANTKEEPER_COLOR_CAT_HPP
#define ANTKEEPER_COLOR_CAT_HPP
#include <engine/math/matrix.hpp>
#include <engine/math/vector.hpp>
namespace color {
/// @name Chromatic adaption transforms (CAT)
/// @{
/**
* Bradford cone response matrix.
*
* @see Specification ICC.1:2010 (Profile version 4.3.0.0). Image technology colour management — Architecture, profile format, and data structure, Annex E.3, pp. 102.
* @see http://www.brucelindbloom.com/index.html?Eqn_ChromAdapt.html
*/
template <class T>
constexpr math::mat3<T> bradford_cone_response =
{
T{ 0.8951}, T{-0.7502}, T{ 0.0389},
T{ 0.2664}, T{ 1.7135}, T{-0.0685},
T{-0.1614}, T{ 0.0367}, T{ 1.0296}
};
/**
* von Kries cone response matrix.
*
* @see http://www.brucelindbloom.com/index.html?Eqn_ChromAdapt.html
*/
template <class T>
constexpr math::mat3<T> von_kries_cone_response =
{
T{ 0.40024}, T{-0.22630}, T{0.00000},
T{ 0.70760}, T{ 1.16532}, T{0.00000},
T{-0.08081}, T{ 0.04570}, T{0.91822}
};
/**
* XYZ scaling cone response matrix.
*
* @see http://www.brucelindbloom.com/index.html?Eqn_ChromAdapt.html
*/
template <class T>
constexpr math::mat3<T> xyz_scaling_cone_response = math::mat3<T>::identity();
/**
* Constructs a chromatic adaptation transform (CAT) matrix.
*
* @param w0 CIE xy chromaticity coordinates of the source illuminant.
* @param w1 CIE xy chromaticity coordinates of the destination illuminant.
* @param cone_response Cone response matrix.
*
* @return CAT matrix.
*
* @see Specification ICC.1:2010 (Profile version 4.3.0.0). Image technology colour management — Architecture, profile format, and data structure, Annex E.3, pp. 102.
* @see http://www.brucelindbloom.com/index.html?Eqn_ChromAdapt.html
*/
template <class T>
[[nodiscard]] constexpr math::mat3<T> cat_matrix(const math::vec2<T>& w0, const math::vec2<T>& w1, const math::mat3<T>& cone_response = bradford_cone_response<T>) noexcept
{
// Convert CIE xy chromaticity coordinates to CIE XYZ colors
const math::vec3<T> w0_xyz = {w0[0] / w0[1], T{1}, (T{1} - w0[0] - w0[1]) / w0[1]};
const math::vec3<T> w1_xyz = {w1[0] / w1[1], T{1}, (T{1} - w1[0] - w1[1]) / w1[1]};
// Calculate cone response of CIE XYZ colors
const math::vec3<T> w0_cone_response = cone_response * w0_xyz;
const math::vec3<T> w1_cone_response = cone_response * w1_xyz;
const math::mat3<T> scale =
{
w1_cone_response[0] / w0_cone_response[0], T{0}, T{0},
T{0}, w1_cone_response[1] / w0_cone_response[1], T{0},
T{0}, T{0}, w1_cone_response[2] / w0_cone_response[2],
};
return math::inverse(cone_response) * scale * cone_response;
}
/// @}
} // namespace color
#endif // ANTKEEPER_COLOR_CAT_HPP