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Diffstat (limited to 'extern/libmv/libmv/tracking/kalman_filter.h')
-rw-r--r--extern/libmv/libmv/tracking/kalman_filter.h112
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diff --git a/extern/libmv/libmv/tracking/kalman_filter.h b/extern/libmv/libmv/tracking/kalman_filter.h
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-// Copyright (c) 2014 libmv authors.
-//
-// Permission is hereby granted, free of charge, to any person obtaining a copy
-// of this software and associated documentation files (the "Software"), to
-// deal in the Software without restriction, including without limitation the
-// rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
-// sell copies of the Software, and to permit persons to whom the Software is
-// furnished to do so, subject to the following conditions:
-//
-// The above copyright notice and this permission notice shall be included in
-// all copies or substantial portions of the Software.
-//
-// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
-// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
-// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
-// IN THE SOFTWARE.
-
-#ifndef LIBMV_TRACKING_KALMAN_FILTER_H_
-
-#include "libmv/numeric/numeric.h"
-
-namespace mv {
-
-// A Kalman filter with order N and observation size K.
-template<typename T, int N, int K>
-class KalmanFilter {
- public:
- struct State {
- Eigen::Matrix<T, N, 1> mean;
- Eigen::Matrix<T, N, N> covariance;
- };
-
- // Initialize from row-major data; convenient for constant initializers.
- KalmanFilter(const T* state_transition_data,
- const T* observation_data,
- const T* process_covariance_data,
- const T* default_measurement_covariance_data)
- : state_transition_matrix_(
- Eigen::Matrix<T, N, N, Eigen::RowMajor>(state_transition_data)),
- observation_matrix_(
- Eigen::Matrix<T, K, N, Eigen::RowMajor>(observation_data)),
- process_covariance_(
- Eigen::Matrix<T, N, N, Eigen::RowMajor>(process_covariance_data)),
- default_measurement_covariance_(
- Eigen::Matrix<T, K, K, Eigen::RowMajor>(
- default_measurement_covariance_data)) {
- }
-
- KalmanFilter(
- const Eigen::Matrix<T, N, N> &state_transition_matrix,
- const Eigen::Matrix<T, K, N> &observation_matrix,
- const Eigen::Matrix<T, N, N> &process_covariance,
- const Eigen::Matrix<T, K, K> &default_measurement_covariance)
- : state_transition_matrix_(state_transition_matrix),
- observation_matrix_(observation_matrix),
- process_covariance_(process_covariance),
- default_measurement_covariance_(default_measurement_covariance) {
- }
-
- // Advances the system according to the current state estimate.
- void Step(State *state) const {
- state->mean = state_transition_matrix_ * state->mean;
- state->covariance = state_transition_matrix_ *
- state->covariance *
- state_transition_matrix_.transpose() +
- process_covariance_;
- }
-
- // Updates a state with a new measurement.
- void Update(const Eigen::Matrix<T, K, 1> &measurement_mean,
- const Eigen::Matrix<T, K, K> &measurement_covariance,
- State *state) const {
- // Calculate the innovation, which is a distribution over prediction error.
- Eigen::Matrix<T, K, 1> innovation_mean = measurement_mean -
- observation_matrix_ *
- state->mean;
- Eigen::Matrix<T, K, K> innovation_covariance =
- observation_matrix_ *
- state->covariance *
- observation_matrix_.transpose() +
- measurement_covariance;
-
- // Calculate the Kalman gain.
- Eigen::Matrix<T, 6, 2> kalman_gain = state->covariance *
- observation_matrix_.transpose() *
- innovation_covariance.inverse();
-
- // Update the state mean and covariance.
- state->mean += kalman_gain * innovation_mean;
- state->covariance = (Eigen::Matrix<T, N, N>::Identity() -
- kalman_gain * observation_matrix_) *
- state->covariance;
- }
-
- void Update(State *state,
- const Eigen::Matrix<T, K, 1> &measurement_mean) const {
- Update(state, measurement_mean, default_measurement_covariance_);
- }
-
- private:
- const Eigen::Matrix<T, N, N> state_transition_matrix_;
- const Eigen::Matrix<T, K, N> observation_matrix_;
- const Eigen::Matrix<T, N, N> process_covariance_;
- const Eigen::Matrix<T, K, K> default_measurement_covariance_;
-};
-
-} // namespace mv
-
-#endif // LIBMV_TRACKING_KALMAN_FILTER_H_