Calibration of a rorating 2D laser range - finder using point - plane coistraints

• Autorzy: Wai Yan So E. , Basso F. , Menegatti E.
• Języki publikacji: EN

Abstrakty

EN

A common method used to obtain 3D range data with a 2D laser range finder is to rotate the sensor. To combine the 2D range data obtained at different rotation angles into a common 3D coordinate frame, the axis of rotation relative to the mirror center of the laser range finder should be known. This axis of rotation is a line in 3D space with four degrees of freedom. This paper describes a method for recovering the parameters of this rotational axis, as well as the extrinsic calibration between the rota tional axis and a camera. It simply requires scanning several planar checkerboard patterns that are also imaged by a static camera. In particular, we use only correspondences between lines in the laser scans and planes in the camera images, which can be established easily even for non-visible lasers. Furthermore, we show that such line-on-plane correspondences can be modelled as pointplane constraints, a problem studied in the field of robot kinematics. We use a numerical solution developed for such point-plane constraint problems to obtain an initial estimate, which is then refined by a nonlinear minimiza- tion that minimizes the ,,line-of-sight" errors in the laser scans and the reprojection errors in the camera image. To validate our proposed method, we give experimental results using a LMS-100 mounted on a pan-tilt device in a nodding configuration.

Słowa kluczowe

EN

laser range finder; extrinsic calibration; pointplane; constraints; minimal conditions; maximum likelihood; estimate

• Wydawca: Łukasiewicz Industrial Research Institute for Automation and Measurements PIAP
• Czasopismo: Journal of Automation Mobile Robotics and Intelligent Systems
• Rocznik: 2013
• Tom: Vol. 7, No. 2
• Strony: 30--38
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Wai Yan So E.

• IAS Lab, UNIPD, Padua, Italy

autor

Basso F.

• IAS

autor

Menegatti E.

• IAS

Bibliografia

• [1] Q. Zhang, R. Pless, ,,Extrinsic calibration of a camera and laser range finder (Improves camera calibration)", In: IEEE/RSJ International Conference on Intelligent Robots and Systems, vol. 3, 2004, pp. 2301-2306.
• [2] C. Mei, P. Rives, ,,Calibration between a central catadioptric camera and a laser rangefinder for robotic applications", In: IEEE International Conference on Robotics and Automation, 2006, pp. 532-537.
• [3] S. Wasielewski, O. Strauss, ,,Calibration of a multi-sensor system laser Rangefinder/Camera", In: Intelligent Vehicles Symposium, 1995, pp. 472-477.
• [4] G. Li, Y. Liu, L. Dong, X. Cai, D. Zhou, ,,An algorithm for extrinsic parameters calibration of a camera and a laser rangefinder using line features", In: IEEE/RSJ International Conference on Intelligent Robots and Systems, 2007, pp. 3854-3859.
• [5] R. Unnikrishnan, M. Hebert, ,,Fast extrinsic calibration of a laser rangefinder to a camera", Tech. Rep., 2005.
• [6] H. Surmann, K. Lingemann, A. Nüchter, J. Hertzberg, ,,A 3D laser range finder for autonomous mobile robots", In: International Symposium on Robotics, 2001.
• [7] H. Surmann, A. Nüchter, J. Hertzberg, ,,An autonomous mobile robot with a 3D laser range finder for 3D exploration and digitalization of indoor environments", Robotics and Autonomous Systems, vol. 45, no. 3-4, pp. 181-198, 2003.
• [8] H. Andreasson, ,,Local visual feature based localisation and mapping by mobile robots", Ph.D. Dissertation, Örebro University, 2008.
• [9] D. Scaramuzza, A. Harati, R. Siegwart, ,,Extrinsic self calibration of a camera and a 3D laser range finder from natural scenes", In: IEEE/RSJ International Conference on Intelligent Robots and Systems, 2007, pp. 4164-4169.
• [10] J. Weingarten, ,,Feature-based 3D SLAM", Ph.D. dissertation, École Polytechnique Fédérale de Lausanne, 2006.
• [11] V. Pradeep, K. Konolige, E. Berger, ,,Calibrating a multi-arm multi-sensor robot: A bundle adjustment approach", In: International Symposium on Experimental Robotics, 2010.
• [12] J. M. Selig, Geometric Fundamentals of Robotics, 2nd ed., Springer, 2004.
• [13] J. M. Selig, ,,On the geometry of point-plane constraints on rigid-body displacements", Acta Applicandae Mathematicae, 2011.
• [14] C. W. Wampler, ,,Locating N points of a rigid body on N given planes", In: 28th Biennial Mechanisms and Robotics Conference, 2004, pp. 513-521.
• [15] C. W. Wampler, ,,On a rigid body subject to pointplane constraints", Journal of Mechanical Design, vol. 128, no. 1, pp. 151-158, 2006.
• [16] D. Cox, J. Little, D. O'Shea, Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 2nd ed., Springer, February 2006.
• [17] E. W. Y. So, E. Menegatti, ,,A unified approach to extrinsic calibration between a camera and a laser rangefinder using point-plane constraints", In: 1st Workshop on Perception for Mobile Robots Autonomy, 2012.
• [18] J. M. McCarthy, Geometric Design of Linkages, 1st ed., Springer, April 2000.