From bone to plausible bipedal locomotion. Part II: Complete motion synthesis for bipedal primates.

This paper addresses the problem of synthesizing plausible bipedal locomotion according to 3D anatomical reconstruction and general hypotheses on human motion control strategies. In a previous paper [Nicolas, G., Multon, F., Berillon, G., Marchal, F., 2007. From bone to plausible bipedal locomotion using inverse kinematics. Journal of Biomechanics 40 (5) 1048-1057], we have validated a method based on using inverse kinematics to obtain plausible lower-limb motions knowing the trajectory of the ankle. In this paper, we propose a more general approach that also involves computing a plausible trajectory of the ankles for a given skeleton. The inputs are the anatomical descriptions of the bipedal species, imposed footprints and a rest posture. This process is based on optimizing a reference ankle trajectory until a set of criteria is minimized. This optimization loop is based on the assumption that a plausible motion is supposed to have little internal mechanical work and should be as less jerky as possible. For each tested ankle trajectory, inverse kinematics is used to compute a lower-body motion that enables us to compute the resulting mechanical work and jerk. This method was tested on a set of modern humans (male and female, with various anthropometric properties). We show that the results obtained with this method are close to experimental data for most of the subjects. We also demonstrate that the method is not sensitive to the choice of the reference ankle trajectory; any ankle trajectory leads to very similar result. We finally apply the method to a skeleton of Pan paniscus (Bonobo), and compare the resulting motion to those described by zoologists.

[1]  Georges Dumont,et al.  Testing locomotor hypothesis in early hominids: 3d odelling and simulation of bipedalisms using anatomical data , 2004 .

[2]  T. Flash,et al.  The coordination of arm movements: an experimentally confirmed mathematical model , 1985, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[3]  R H Crompton,et al.  Size and power required for motion with implication for the evolution of early hominids. , 2003, Journal of biomechanics.

[4]  Terence D. Sanger,et al.  Equilibrium point control of a monkey arm simulator by a fast learning tree structured artificial neural network , 1993, Biological Cybernetics.

[5]  M. Pandy,et al.  Dynamic optimization of human walking. , 2001, Journal of biomechanical engineering.

[6]  A E Minetti,et al.  A model equation for the prediction of mechanical internal work of terrestrial locomotion. , 1998, Journal of biomechanics.

[7]  Franck Multon,et al.  Computer Animation of Human Walking: a Survey , 1999 .

[8]  Herman Pontzer,et al.  The metabolic cost of walking in humans, chimpanzees, and early hominins. , 2009, Journal of human evolution.

[9]  P. Kramer,et al.  Locomotor energetics and leg length in hominid bipedality. , 2000, Journal of human evolution.

[10]  R. McNeill Alexander,et al.  Principles of Animal Locomotion , 2002 .

[11]  C. Ward Interpreting the posture and locomotion of Australopithecus afarensis: where do we stand? , 2002, American journal of physical anthropology.

[12]  A. Minetti,et al.  A theory of metabolic costs for bipedal gaits. , 1997, Journal of theoretical biology.

[13]  Zicheng Liu,et al.  Hierarchical spacetime control , 1994, SIGGRAPH.

[14]  R. Alexander,et al.  A model of bipedal locomotion on compliant legs. , 1992, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[15]  P. Aerts,et al.  The mechanics of the gibbon foot and its potential for elastic energy storage during bipedalism , 2008, Journal of Experimental Biology.

[16]  R. Crompton,et al.  The mechanical effectiveness of erect and "bent-hip, bent-knee" bipedal walking in Australopithecus afarensis. , 1998, Journal of human evolution.

[17]  Jean-Paul Laumond,et al.  The formation of trajectories during goal‐oriented locomotion in humans. II. A maximum smoothness model , 2007, The European journal of neuroscience.

[18]  Alexander Rm,et al.  A minimum energy cost hypothesis for human arm trajectories. , 1997 .

[19]  R. Alexander,et al.  Bipedal animals, and their differences from humans , 2004, Journal of anatomy.

[20]  R. Brand,et al.  The biomechanics and motor control of human gait: Normal, elderly, and pathological , 1992 .

[21]  R. Burdett,et al.  Comparison of mechanical work and metabolic energy consumption during normal gait , 1983, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[22]  G. Cavagna,et al.  External, internal and total work in human locomotion. , 1995, The Journal of experimental biology.

[23]  P. Aerts,et al.  Locomotion in bonobos (Pan paniscus): differences and similarities between bipedal and quadrupedal terrestrial walking, and a comparison with other locomotor modes , 2004, Journal of anatomy.

[24]  John E. Dennis,et al.  Multidirectional search: a direct search algorithm for parallel machines , 1989 .

[25]  D. Raichlen Effects of limb mass distribution on mechanical power outputs during quadrupedalism , 2006, Journal of Experimental Biology.

[26]  Hartmut Witte,et al.  ISB recommendation on definitions of joint coordinate system of various joints for the reporting of human joint motion--part I: ankle, hip, and spine. International Society of Biomechanics. , 2002, Journal of biomechanics.

[27]  Lillian Y. Chang,et al.  Constrained least-squares optimization for robust estimation of center of rotation. , 2007, Journal of biomechanics.

[28]  D Schmitt,et al.  Heel contact as a function of substrate type and speed in primates. , 1995, American journal of physical anthropology.

[29]  P. Aerts,et al.  Segment and joint angles of hind limb during bipedal and quadrupedal walking of the bonobo (Pan paniscus). , 2002, American journal of physical anthropology.

[30]  Andrew P. Witkin,et al.  Spacetime constraints , 1988, SIGGRAPH.

[31]  Bryan Buchholz,et al.  ISB recommendation on definitions of joint coordinate systems of various joints for the reporting of human joint motion--Part II: shoulder, elbow, wrist and hand. , 2005, Journal of biomechanics.

[32]  Philip E. Martin,et al.  The relationship between smoothness and economy during walking , 2004, Biological Cybernetics.

[33]  J. Nishii An analytical estimation of the energy cost for legged locomotion. , 2006, Journal of theoretical biology.

[34]  W. Sellers,et al.  Stride lengths, speed and energy costs in walking of Australopithecus afarensis: using evolutionary robotics to predict locomotion of early human ancestors , 2005, Journal of The Royal Society Interface.

[35]  Hee-Jun Kang,et al.  Null space damping method for local joint torque optimization of redundant manipulators , 1993, J. Field Robotics.

[36]  J. T. Stern,et al.  The locomotor anatomy of Australopithecus afarensis. , 1983, American journal of physical anthropology.

[37]  J. Hamill,et al.  Predicting the minimal energy costs of human walking. , 1991, Medicine and science in sports and exercise.

[38]  Michael F. Cohen,et al.  Interactive spacetime control for animation , 1992, SIGGRAPH.

[39]  R. L. Susman,et al.  The Pygmy Chimpanzee , 1984, The Pygmy Chimpanzee.

[40]  Miomir Vukobratović,et al.  Biped Locomotion: Dynamics, Stability, Control and Application , 1990 .

[41]  Franck Multon,et al.  From bone to plausible bipedal locomotion using inverse kinematics. , 2007, Journal of biomechanics.

[42]  Akinori Nagano,et al.  Neuromusculoskeletal computer modeling and simulation of upright, straight-legged, bipedal locomotion of Australopithecus afarensis (A.L. 288-1). , 2005, American journal of physical anthropology.

[43]  H. Pontzer A new model predicting locomotor cost from limb length via force production , 2005, Journal of Experimental Biology.

[44]  Richard Baker,et al.  ISB recommendation on definition of joint coordinate systems for the reporting of human joint motion-part I: ankle, hip and spine. , 2003, Journal of biomechanics.

[45]  A. Hreljac Stride smoothness evaluation of runners and other athletes. , 2000, Gait & posture.

[46]  Mukul Talaty,et al.  The impact of adding trunk motion to the interpretation of the role of joint moments during normal walking. , 2007, Journal of biomechanics.

[47]  Y. Coppens,et al.  Origine(s) de la bipédie chez les hominidés , 1991 .

[48]  E. Bizzi,et al.  Arm trajectory formation in monkeys , 2004, Experimental Brain Research.

[49]  P. Leva Adjustments to Zatsiorsky-Seluyanov's segment inertia parameters. , 1996 .

[50]  Daniel Schmitt,et al.  Insights into the evolution of human bipedalism from experimental studies of humans and other primates , 2003, Journal of Experimental Biology.