Abstract
This paper overviews a multidisciplinary research effort on the understanding of human locomotion. It addresses the computational principles of locomotion neuroscience via the geometric control of nonholonomic systems. We argue that a human locomotion model can be derived from a top-down approach, by exclusively looking at the shape of locomotor trajectories and by ignoring all the body biomechanical motor controls generating the motions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arechavaleta, G., Laumond, J.-P., Hicheur, H., Berthoz, A.: The nonholonomic nature of human locomotion: a modeling study. In: 1st IEEE/RAS-EMBS Int. Conf. on Biomedical Robotics and Biomechatronics, Pisa, Italy (2006)
Arechavaleta, G., Laumond, J.-P., Hicheur, H., Berthoz, A.: Optimizing principles underlying the shape of trajectories in goal oriented locomotion for humans. In: IEEE / RAS Int. Conf. on Humanoid Robots, Genoa, Italy (2006)
Balkcom, D., Kavathekar, P.-A., Mason, M.: Fastest trajectories for an omni-directional vehicle. In: International Workshop on Algorithmic Foundations of Robotics (2006)
Balkcom, D., Mason, M.: Time optimal trajectories for bounded velocity differential drive vehicles. International Journal of Robotics Research 21(3) (2002)
Bellaiche, A., Risler, J.-J. (eds.): SubRiemannian Geometry. Progress in Math. vol. 144. Birkhauser, Basel (1996)
Bernstein, N.-I.: The Coordination and Regulation of Movements. Pergamon Press, Oxford (1967)
Boissonnat, J.-D., Cerezo, A., Leblong, J.: Shortest paths of bounded curvature in the plane. In: IEEE Int. Conf. on Robotics and Automation, Nice, France (1992)
Dubins, L.-E.: On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents. American Journal of Mathematics 79 (1957)
Choset, H., et al.: Principles of Robot Motion: Theory, Algorithms, and Implementations. MIT Press, Cambridge (2005)
Fernandes, C., Gurvits, L., Li, Z.: Near-optimal nonholonomic motion planning for a system of coupled rigid bodies. IEEE Transactions on Automatic Control 39(3) (1994)
Flash, T., Handzel, A.-A.: Affine differential geometry analysis of human arm movements. Biological Cybernetics 96 (2007)
Hicheur, H., Pham, Q.-C., Arechavaleta, G., Laumond, J.-P., Berthoz, A.: The formation of trajectories during goal-oriented locomotion in humans I. European Journal of Neuroscience 26 (2007)
Jordan, M.-I., Wolpert, D.-M.: Computational motor control. In: Gazzaniga (ed.). MIT Press, Cambridge (1999)
Khatib, O.: A unified approach to motion and force control of robot manipulators: The operational space formulation. IEEE Journal on Robotics and Automation 3(1) (1987)
Laumond, J.-P., Sekhavat, S., Lamiraux, F.: Guidelines in Nonholonomic Motion Planning for Mobile Robots. In: Laumond, J.P. (ed.) Robot Motion Planning and Control. LNCIS, vol. 229. Springer, Heidelberg (1998)
LaValle, S.-M.: Planning Algorithms. Cambridge University Press, Cambridge (2006)
Li, Z., Canny, J.-F.: Nonholonomic Motion Planning. Kluwer, Boston (1993)
Nakamura, Y.: Advanced Robotics: Redundancy and Optimization. Addison Wesley, Reading (1991)
Nocedal, J., Wright, S.-J.: Numerical Optimization. Springer, Heidelberg (1999)
Pecsvaradi, T.: Optimal horizontal guidance law for aircraft in the terminal area. IEEE Transactions on Automatic Control 17(6) (1972)
Pontryagin, L.-S., Boltyanskii, V.-G., Gamkrelidze, R.-V., Mishchenko, E.-F.: The Mathematical Theory of Optimal Processes. Pergamon Press, Oxford (1964)
Reeds, J.-A., Shepp, R.-A.: Optimal paths for a car that goes both forward and backwards. Pacific Journal of Mathematics 145(2) (1990)
Sastry, S.S., Montgomery, R.: The structure of optimal controls for a steering problem. In: IFAC Workshop on Nonlinear Control (1992)
Siciliano, B., Slotine, J.-J.-E.: A general framework for managing multiple tasks in highly redundant robotic systems. In: 5th International Conference on Advanced Robotics, Pisa, Italy (1991)
Souères, P., Boissonnat, J.-D.: Optimal Trajectories for Nonholonomic Mobile Robots. In: Laumond, J.P. (ed.) Robot Motion Planning and Control. LNCIS, vol. 229. Springer, Heidelberg (1998)
Souères, P., Laumond, J.-P.: Shortest path synthesis for a car-like robot. IEEE Transanctions on Automatic Control 41(5) (1996)
Sussmann, H.-J., Tang, W.: Shortest paths for reeds-shepp car: a worked out example of the use of geometric techniques in nonlinear control. Report SYCON-91-10, Rutgers University (1991)
Todorov, E.: Optimality principles in sensorimotor control. Nature Neuroscience 7(9) (2004)
Wolpert, D.-M., Ghahramani, Z.: Computational principles of movement neuroscience. Nature Neuroscience supplement 3 (2000)
Yoshikawa, T.: Analysis and control of robot manipulators with redundancy. In: Brady, M., Paul, R. (eds.) 1st. International Symposium of Robotics Research. MIT Press, Cambridge (1984)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Laumond, J.P., Arechavaleta, G., Truong, T.V.A., Hicheur, H., Pham, Q.C., Berthoz, A. (2010). The Words of the Human Locomotion. In: Kaneko, M., Nakamura, Y. (eds) Robotics Research. Springer Tracts in Advanced Robotics, vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14743-2_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-14743-2_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14742-5
Online ISBN: 978-3-642-14743-2
eBook Packages: EngineeringEngineering (R0)