Equivariant Visual Odometry in the Wild

Visual Odometry is a core problem in robotics. Recent advances in equivariant systems theory, and the discovery of symmetries for the visual odometry problem, has provided a new perspective that is leading to new algorithms. This paper provides an overview of the geometry of visual odometry problem and an algorithm that results from this perspective.

[1]  Michael Bosse,et al.  Keyframe-based visual–inertial odometry using nonlinear optimization , 2015, Int. J. Robotics Res..

[2]  Gamini Dissanayake,et al.  A review of recent developments in Simultaneous Localization and Mapping , 2011, 2011 6th International Conference on Industrial and Information Systems.

[3]  Hongdong Li,et al.  Canny-VO: Visual Odometry With RGB-D Cameras Based on Geometric 3-D–2-D Edge Alignment , 2019, IEEE Transactions on Robotics.

[4]  Peter Cheeseman,et al.  A stochastic map for uncertain spatial relationships , 1988 .

[5]  Guoquan Huang,et al.  Robocentric visual–inertial odometry , 2018, 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS).

[6]  Albert S. Huang,et al.  Visual Odometry and Mapping for Autonomous Flight Using an RGB-D Camera , 2011, ISRR.

[7]  Julius Ziegler,et al.  StereoScan: Dense 3d reconstruction in real-time , 2011, 2011 IEEE Intelligent Vehicles Symposium (IV).

[8]  Robert E. Mahony,et al.  Observers for Kinematic Systems with Symmetry , 2013, NOLCOS.

[9]  Daniel Cremers,et al.  Direct Sparse Odometry , 2016, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[10]  Simon Baker,et al.  Lucas-Kanade 20 Years On: A Unifying Framework , 2004, International Journal of Computer Vision.

[11]  J. A. Castellanos,et al.  Limits to the consistency of EKF-based SLAM , 2004 .

[12]  Roland Siegwart,et al.  Iterated extended Kalman filter based visual-inertial odometry using direct photometric feedback , 2017, Int. J. Robotics Res..

[13]  Roland Siegwart,et al.  The EuRoC micro aerial vehicle datasets , 2016, Int. J. Robotics Res..

[14]  Javier Civera,et al.  1-point RANSAC for EKF-based Structure from Motion , 2009, 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[15]  Roland Siegwart,et al.  Appearance-Guided Monocular Omnidirectional Visual Odometry for Outdoor Ground Vehicles , 2008, IEEE Transactions on Robotics.

[16]  Axel Barrau,et al.  The Invariant Extended Kalman Filter as a Stable Observer , 2014, IEEE Transactions on Automatic Control.

[17]  José A. Castellanos,et al.  Robocentric map joining: Improving the consistency of EKF-SLAM , 2007, Robotics Auton. Syst..

[18]  Francesc Moreno-Noguer,et al.  PL-SLAM: Real-time monocular visual SLAM with points and lines , 2017, 2017 IEEE International Conference on Robotics and Automation (ICRA).

[19]  J. M. M. Montiel,et al.  ORB-SLAM: A Versatile and Accurate Monocular SLAM System , 2015, IEEE Transactions on Robotics.

[20]  Robert E. Mahony,et al.  Exploring the effect of meta-structural information on the global consistency of SLAM , 2017, 2017 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS).

[21]  Silvere Bonnabel Symmetries in observer design: review of some recent results and applications to EKF-based SLAM , 2011, ArXiv.

[22]  Michael Gassner,et al.  SVO: Semidirect Visual Odometry for Monocular and Multicamera Systems , 2017, IEEE Transactions on Robotics.

[23]  Andrew J. Davison,et al.  DTAM: Dense tracking and mapping in real-time , 2011, 2011 International Conference on Computer Vision.

[24]  Davide Scaramuzza,et al.  SVO: Fast semi-direct monocular visual odometry , 2014, 2014 IEEE International Conference on Robotics and Automation (ICRA).

[25]  Robert E. Mahony,et al.  Equivariant Filter (EqF): A General Filter Design for Systems on Homogeneous Spaces , 2020, 2020 59th IEEE Conference on Decision and Control (CDC).

[26]  Robert E. Mahony,et al.  A geometric nonlinear observer for simultaneous localisation and mapping , 2017, 2017 IEEE 56th Annual Conference on Decision and Control (CDC).

[27]  Robert Mahony,et al.  Equivariant Systems Theory and Observer Design , 2020, ArXiv.

[28]  Axel Barrau,et al.  An EKF-SLAM algorithm with consistency properties , 2015, ArXiv.

[29]  Ian D. Reid,et al.  On combining visual SLAM and visual odometry , 2010, 2010 IEEE International Conference on Robotics and Automation.

[30]  Gamini Dissanayake,et al.  Convergence and Consistency Analysis for a 3-D Invariant-EKF SLAM , 2017, IEEE Robotics and Automation Letters.

[31]  Daniel Cremers,et al.  LSD-SLAM: Large-Scale Direct Monocular SLAM , 2014, ECCV.