Implement point cloud alignment for SE3 #346
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Point cloud alignment is an application common enough that Eigen provides
Eigen::umeyama
to this end. Sophus can do better by exploiting a closed form solution for the optimum rotation quaternion. Another benefit is being able to store the result naturally in a SE3 object.Eigen::umeyama
Eigen::Matrix4d
(16 parameters)SE3::setFromPointClouds
Sophus::SE3
(7 parameters)