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// Copyright (c) 2020, Viktor Larsson
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
//
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// * Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// * Neither the name of the copyright holder nor the
// names of its contributors may be used to endorse or promote products
// derived from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
// ARE DISCLAIMED. IN NO EVENT SHALL <COPYRIGHT HOLDER> BE LIABLE FOR ANY
// DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
// (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
// LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
// ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#include "p3ll.h"
#include "PoseLib/misc/re3q3.h"
namespace poselib {
int p3ll(const std::vector<Eigen::Vector3d> &l, const std::vector<Eigen::Vector3d> &X,
const std::vector<Eigen::Vector3d> &V, std::vector<CameraPose> *output) {
Eigen::Matrix3d A;
Eigen::Matrix<double, 3, 9> B1, B2;
// l'*R*V = 0
A << l[0].transpose(), l[1].transpose(), l[2].transpose();
B1 << V[0](0) * l[0].transpose(), V[0](1) * l[0].transpose(), V[0](2) * l[0].transpose(),
V[1](0) * l[1].transpose(), V[1](1) * l[1].transpose(), V[1](2) * l[1].transpose(), V[2](0) * l[2].transpose(),
V[2](1) * l[2].transpose(), V[2](2) * l[2].transpose();
// l'*(R*X+t) = 0
B2 << X[0](0) * l[0].transpose(), X[0](1) * l[0].transpose(), X[0](2) * l[0].transpose(),
X[1](0) * l[1].transpose(), X[1](1) * l[1].transpose(), X[1](2) * l[1].transpose(), X[2](0) * l[2].transpose(),
X[2](1) * l[2].transpose(), X[2](2) * l[2].transpose();
// B1*R(:) = 0
// A*t + B2*R(:) = 0;
// t + B1*R(:) = 0
B2 = A.inverse() * B2;
Eigen::Matrix<double, 4, 8> solutions;
int n_sols = re3q3::re3q3_rotation(B1, &solutions);
output->clear();
for (int i = 0; i < n_sols; ++i) {
CameraPose pose;
pose.q = solutions.col(i);
pose.t = -B2 * quat_to_rotmatvec(pose.q);
output->push_back(pose);
}
return n_sols;
}
} // namespace poselib
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