Models of human movement: Trajectory planning and inverse kinematics studies

Robotics and Autonomous Systems

Volumn 61, Issue 4, 2013, Pages 330-339

  Flash, Tamar ^a   Meirovitch, Yaron ^a   Barliya, Avi ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

Affine differential geometry modeling; Donder's and Listing's laws; Human trajectory planning; Intersegmental coordination; Kinematic redundancy; Trajectory formation; Two thirds power law

Indexed keywords

DIFFERENTIAL GEOMETRY; INTER-SEGMENTAL COORDINATION; KINEMATIC REDUNDANCY; LISTING'S LAWS; TRAJECTORY FORMATION; TRAJECTORY PLANNING; TWO-THIRDS POWER LAWS;

BIOMECHANICS; GEOMETRY; JOINTS (ANATOMY); MOTION PLANNING; OPTIMIZATION; REDUNDANT MANIPULATORS; TRAJECTORIES;

INVERSE KINEMATICS;

EID: 84875236924     PISSN: 09218890     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.robot.2012.09.020     Document Type: Article

References (78)

1. D.M. Wolpert Computational approaches to motor control Trends in Cognitive Sciences 1 6 1997 209 216
2. K.S. Lashley The problem of serial order in behavior L.A. Jeffress, Cerebral Mechanisms in Behavior 1951 Wiley New York 112 131
3. N. Bernstein The Co-Ordination and Regulation of Movements 1967 Pegamon Press Oxford
4. W. Abend, E. Bizzi, and P. Morasso Human arm trajectory formation Experimental Brain Research 105 1982 331 348
5. F. Lacquaniti, C. Terzuolo, and P. Viviani The law relating kinematic and figural aspects of drawing movements Acta Psychologica 54 1983 115 130
6. T. Flash, and N. Hogan The coordination of arm movements - an experimentally confirmed mathematical model Journal of Neuroscience 5 7 1985 1688 1703
7. P. Viviani Do units of motor action really exist? H. Heuer, C. Fromm, Generation and Modulation of Action Patterns 1986 Springer-Verlag New York 201 216
8. A. Georgopoulos, A. Schwartz, and R. Kettner Neuronal population coding of movement direction Science 233 4771 1986 1416 1419
9. T. Flash, and B. Hochner Motor primitives in vertebrates and invertebrates Current Opinion in Neurobiology 15 6 2005 660 666
10. F.A. Mussa-Ivaldi, and S. Solla Neural primitives for motion control IEEE Journal of Oceanic Engineering 29 2004 640 650
11. F. Lacquaniti, C. Terzuolo, P. Viviani, Global metric properties and preparatory processes in drawing movements, in: Preparatory States & Processes: Proceedings of the Franco-American Conference, Ann Arbor, Michigan, 1984.
12. W. Jack On the analysis of voluntary muscular movement by certain new instruments Journal of Anatomy and Physiology 29 1895 473 478
13. P.M. Fitts The information capacity of the human motor system in controlling the amplitude of movement Journal of Experimental Psychology 47 1954 381 391
14. P. Viviani, and C. Terzuolo Space-time invariance in learned motor skills Tutorials in Motor Behavior 1980 North-Holland 525 533
15. J.M. Hollerbach An oscillation theory of handwriting Biological Cybernetics 39 2 1981 139 156
16. P. Viviani, and C. Terzuolo Trajectory determines movement dynamics Journal of Neuroscience 7 1982 431 437
17. P. Viviani, and G. McCollum The relation between linear extent and velocity in drawing movements Journal of Neuroscience 10 1 1983 211 218
18. P. Viviani, and M. Cenzato Segmentation and coupling in complex movements Journal of Experimental Psychology: Human Perception & Performance 11 6 1985 828 845
19. P. Viviani, and T. Flash Minimum-jerk, two-thirds power law, and isochrony: converging approaches to movement term planning Journal of Experimental Psychology: Human Perception & Performance 21 1 1995 32 53
20. M.J. Richardson, and T. Flash Comparing smooth arm movements with the two-thirds power law and the related segmented-control hypothesis Journal of Neuroscience 22 18 2002 8201 8211
21. P. Viviani, and R. Schneider A developmental study of the relationship between geometry and kinematics in drawing movements Journal of Experimental Psychology 17 1991 198 218
22. P.L. Gribble, and D.J. Ostry Origins of the power law relation between movement velocity and curvature: modeling the effects of muscle mechanics and limb dynamics Journal of Neurophysiology 76 1996 2853 2860
23. H.A. Fagg, H.S. Tillery, C.A. Terzuolo, Motion velocity profiles influence the perception of hand trajectories in the absence of vision, in: Proceedings of the 22nd Meeting of the Society for Neuroscience, Anaheim, California, 1992.
24. P. Viviani, S. Kandel, and J. Orlianguet Perceptual anticipation in handwriting: the role of implicit motor competence Perception & Psychophysics 62 2000 706 716
25. P. Viviani Motor competence in the perception of dynamic events: a tutorial W. Prinz, B. Hommel, Common Mechanisms in Perception and Action: Attention and Performance XIX 2002 Oxford University Press New York 406 442
26. E. Dayan, A. Casile, N. Levit-Binnun, M.A. Giese, T. Hendler, and T. Flash Neural representation of kinematic laws of motion: evidence for action-perception coupling Proceedings of the National Academy of Sciences of the United States of America 104 51 2007 20582 20587
27. D. Sternad, and S. Schaal Segmentation of endpoint trajectories does not imply segmented control Experimental Brain Research 124 1999 118 136
28. N. Hogan An organizing principle for a class of voluntary movements Journal of Neuroscience 4 11 1984 2745 2754
29. E. Todorov, and M.I. Jordan Smoothness maximization along a predefined path accuracy predicts the speed profiles of complex arm movements Journal of Neurophysiology 80 1998 696 714
30. Y. Uno, M. Kawato, and R. Suzuki Formation and control of optimal trajectroy in human multijoint arm movement. Minimum torque-change model Biological Cybernetics 61 2 1989 89 101
31. C. Pham, H. Hicheur, G.J. Arechavaleta, P. Laumond, and A. Berthoz The formation of trajectories during goal-oriented locomotion in humans. II. A maximum smoothness model European Journal of Neuroscience 26 2007 2391 2403
32. C.M. Harris, and D.M. Wolpert Signal-dependent noise determines motor planning Nature 394 1998 780 784
33. E. Todorov, and M.I. Jordan Optimal feedback control as a theory of motor coordination Nature Neuroscience 5 11 2002 1226 1235
34. A. Handzel, and T. Flash Geometric methods in the study of human motor control Cognitive Studies 6 3 1999 309 321
35. E. Pollick, and G. Sapiro Constant affine velocity predicts the 1/3 power law of planar motion perception and generation Vision Research 37 3 1996 347 353
36. J.L. Mundy, and A. Zisserman Geometric Invariance in Computer Vision 1992 MIT Press
37. P.J. Olver, G. Sapiro, and A. Tannenbaum Differential Invariant Signatures and Flows in Computer Vision: A Symmetry Group Approach 1993
38. E. Calabi, P.J. Olver, C. Shakiban, A. Tannenbaum, and S. Haker Differential and numerically invariant signature curves applied to object recognition International Journal of Computer Vision 26 2 1998 107 135
39. F. Polyakov, E. Stark, R. Drori, M. Abeles, and T. Flash Parabolic movement primitives and cortical states: merging optimality with geometric invariance Biological Cybernetics 100 2 2009 159 184
40. F. Polyakov, R. Drori, Y. Ben-Shaul, M. Abeles, and T. Flash A compact representation of drawing movements with sequences of parabolic primitives PLoS Computational Biology 5 7 2009 e1000427
41. D. Bennequin, R. Fuchs, A. Berthoz, and T. Flash Movement timing and invariance arise from several geometries PLoS Computational Biology 5 7 2009 e1000426
42. H.J. Freund, and H.J. Budingen The relationship between speed and amplitude of the fastest voluntary contractions of human arm muscles Experimental Brain Research 31 1 1978 1 12
43. S. Schaal, and D. Sternad Origins and violations of the 2/3 power law in rhythmic 3D movements Experimental Brain Research 136 2001 60 72
44. J.T. Massey, J.T. Lurito, G. Pellizzer, and P. Georgopoulos Three-dimensional drawings in isometric conditions: relation between geometry and kinematics Experimental Brain Research 88 1992 685 690
45. P. Viviani, and C. de'Sperati The relationship between curvature and velocity in two dimensional smooth pursuit eye movement Journal of Neuroscience 17 1997 3932 3945
46. J.F. Soechting, and B. Ross Psychophysical determination of coordinate representation of human arm orientation Journal of Neuroscience 13 2 1984 595 604
47. J.F. Soechting Does position sense at the elbow reflect a sense of elbow joint angle or one of limb orientation? Brain Research 248 1982 392 395
48. S. Bruno, and O. Khatib Springer Handbook of Robotics 2008 Springer
49. A. Biess, D.G. Liebermann, and T. Flash A computational model for redundant human 3D pointing movements: integration of independent spatial and temporal motor plans simplifies movement dynamics Journal of Neuroscience 27 48 2007 13045 13064
50. J.M. Hollerbach, Optimum kinematic design for a seven degree of freedom manipulator, in: Robotics Research 2nd International Symposium, 1985.
51. X. Wang, M. Maurin, F. Mazet, N. De Castro Maia, K. Voinot, J.P. Verriest, and M. Fayet Three-dimensional modelling of the motion range of axial rotation of the upper arm Journal of Biomechanics 31 10 1998 899 908
52. A. Ben-Israel, and T.N. Greville Generalized Inverses: Theory and Applications 1974 R.E. Krieger Publishing Co. New York
53. T. Shamir, An overview on the global behavior of kinematically redundant robotic manipulators, in: Electrical and Electronics Engineers in Israel, 1995, Eighteenth Convention of 1995.
54. D.E. Whitney Resolved motion rate control of manipulators and human prostheses IEEE Transactions on Man-Machine Systems 10 2 1969 47 53
55. J. Baillieul, Kinematic programming alternatives for redundant manipulators, in: Proceedings. 1985 IEEE International Conference on Robotics and Automation, 1985.
56. Z. Hasan, and J. Thomas Kinematic redundancy Progress in Brain Research 123 1999 379 387
57. H. Cruse, and M. Bruwer The human arm as a redundant manipulator: the control of path and joint angles Biological Cybernetics 57 1987 137 144
58. F. Lacquaniti, and C. Maioli Coordinate transformations in the contol of cat posture Journal of Neurophysiology 72 1994 1496 1515
59. F.C. Donders Beitrag zur Lehre von den Bewegungen des menschlichen Auges Holland Beiträge zu den Anatomischen und Physiologischen Wissenschaften 1 1848 105 145
60. N. Borghese, L. Bianchi, and F. Lacquaniti Kinematic determinants of human locomotion Journal of Physiology 494 3 1996 863 879
61. C.C. Gielen, E.J. Vrijenhoek, T. Flash, and S.F. Neggers Arm position constraints during pointing and reaching in 3-D space Journal of Neurophysiology 78 1997 660 673
62. D.G. Liebermann, A. Biess, J. Friedman, C.C. Gielen, and T. Flash Intrinsic joint kinematic planning. I: reassessing the Listing's law constraint in the control of three-dimensional arm movements Experimental Brain Research 171 2006 139 154
63. D.G. Liebermann, A. Biess, C.C. Gielen, and T. Flash Intrinsic joint kinematic planning. II: hand-path predictions based on a Listing's plane constraint Experimental Brain Research 171 2006 155 173
64. S. Gielen Review of models for the generation of multi-joint movements in 3-D D. Sternad, Progress in Motor Control Advances in Experimental Medicine and Biology vol. 629 2009 Springer US 523 550
65. G. Westheimer Kinematics of the eye Journal of the Optical Society of America 47 1957 967 974
66. C.G. Atkeson, and J.M. Hollerbach Kinematic features of unrestrained vertical arm movements Journal of Neuroscience 5 9 1985 2318 2330
67. M.P. do Carmo Riemannian Geometry first ed. 1992 Birkhäuser Boston
68. R.M. Murray, Z. Li, and S.S. Sastry A Mathematical Introduction to Robotic Manipulation 1994 CRC Press
69. L. Bianchi, D. Angelini, G.P. Orani, and F. Lacquaniti Kinematic coordination in human gait: relation to mechanical energy cost Journal of Neurophysiology 79 1998 2155 2170
70. F. Lacquaniti, R. Grasso, and M. Zago Motor patterns in walking News in Physiological Sciences 14 4 1999 168 174
71. Y.P. Ivanenko, R. Grasso, V. Macellari, and F. Lacquaniti Control of foot trajectory in human locomotion: role of ground contact forces in simulated reduced gravity Journal of Neurophysiology 87 2002 3070 3089
72. G. Courtine, and M. Schiepati Tuning of basic coordination pattern constructs straight-ahead and curved walking in humans Journal of Neurophysiology 91 2004 1524 1535
73. Y.P. Ivanenko, G. Cappelini, N. Dominici, R.E. Poppele, and F. Lacquaniti Coordination of locomotion with voluntary movements in humans Journal of Neuroscience 25 31 2005 7238 7253
74. G. Cheron, E. Bouillot, B. Dan, A. Bengoetxea, J.-P. Draye, and F. Lacquaniti Development of a kinetic coordination pattern in toddler locomotion: planar covariation Experimental Brain Research 137 2001 455 466
75. Y.P. Ivanenko, N. Dominici, G. Cappellini, and F. Lacquaniti Kinematics in newly walking toddlers does not depend upon postural stability Journal of Neurophysiology 94 2005 754 763
76. A. Barliya, L. Omlor, M.A. Giese, and T. Flash An analytical formulatio to the law of intersegmental coordination Experimental Brain Research 193 3 2009 371 385
77. H. Hicheur, A.V. Terekhov, and A. Berthoz Intersegmental coordination during human locomotion: does planar covariation of elevation angles reflect central constraints? Journal of Neurophysiology 96 3 2006 1406 1419
78. Y.P. Ivanenko, A. d'Avella, R.E. Poppele, and F. Lacquaniti On the origin of planar covariation of elevation angles during human locomotion Journal of Neurophysiology 99 4 2008 1890 1898