EnclosingEllipsoid.h

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/*
 * This file is part of ArmarX.
 *
 * ArmarX is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License version 2 as
 * published by the Free Software Foundation.
 *
 * ArmarX 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 this program. If not, see <http://www.gnu.org/licenses/>.
 *
 * @author     Fabian Reister ( fabian dot reister at kit dot edu )
 * @date       2021
 * @copyright  http://www.gnu.org/licenses/gpl-2.0.txt
 *             GNU General Public License
 */
 
#pragma once
 
#include <vector>
 
#include <Eigen/Core>
#include <Eigen/Geometry>
 
#include <armarx/navigation/memory/types.h>
 
namespace armarx::navigation::components::laser_scanner_feature_extraction
{
 
    // struct Ellipsoid
    // {
    //     Eigen::Vector2f center;
    //     float angle;
 
    //     Eigen::Vector2f radii;
 
    //     Eigen::Affine2f pose() const noexcept;
    // };
 
    using Ellipsoid = memory::Ellipsoid;
 
    /**
     * @brief Minimum volume enclosing ellipsoid (MVEE) for a set of points.
     *
     * See https://de.mathworks.com/matlabcentral/fileexchange/9542-minimum-volume-enclosing-ellipsoid
     *
     */
    class EnclosingEllipsoid : public Ellipsoid
    {
    public:
        using Point = Eigen::Vector2f;
        using Points = std::vector<Point>;
 
        EnclosingEllipsoid(const Points& points);
 
    private:
        /**
         * @brief Computes the enclosing ellipsoid for the given points by using Khachiyan's Algorithm.
         *
         * The implementation is based on
         * https://github.com/minillinim/ellipsoid/blob/master/ellipsoid.py
         *
         * @return true
         * @return false
         */
        bool compute(const Points& points);
    };
 
} // namespace armarx::navigation::components::laser_scanner_feature_extraction