Skip to main content

Physics-Based Models for Human Gait Analysis

  • Living reference work entry
  • First Online:
Handbook of Human Motion

Abstract

This chapter deals with fundamental methods as well as current research on physics-based human gait analysis. We present valuable concepts that allow efficient modeling of the kinematics and the dynamics of the human body. The resulting physical model can be included in an optimization-based framework. In this context, we show how forward dynamics optimization can be used to determine the producing forces of gait patterns.

To present a current subject of research, we provide a description of a 2D physics-based statistical model for human gait analysis that exploits parameter learning to estimate unobservable joint torques and external forces directly from motion input. The robustness of this algorithm with respect to occluded joint trajectories is shown in a short experiment. Furthermore, we present a method that uses the former techniques for video-based gait analysis by combining them with a nonrigid structure from motion approach. To examine the applicability of this method, a brief evaluation of the performance regarding joint torque and ground reaction force estimation is provided.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

References

  • Akhter I, Black MJ (2015) Pose-conditioned joint angle limits for 3D human pose reconstruction. In: IEEE Conference on computer vision and pattern recognition (CVPR 2015). IEEE, pp 1446–1455

    Google Scholar 

  • Al-Naser M, Söderström U (2012) Reconstruction of occluded facial images using asymmetrical principal component analysis. Integrated Comput Aided Eng 19(3):273–283

    Google Scholar 

  • Bhat KS, Seitz SM, Popović J, Khosla PK (2002) Computer vision – ECCV 2002: 7th European conference on computer vision copenhagen, Denmark, 2002. In: Proceedings, Part I, chapter computing the physical parameters of rigid-body motion from video, Springer, Berlin/Heidelberg, pp 551–565, 28–31 May 2002

    Google Scholar 

  • Blajer W, Dziewiecki K, Mazur Z (2007) Multibody modeling of human body for the inverse dynamics analysis of sagittal plane movements. Multibody Sys Dyn 18(2):217–232

    Article  MATH  Google Scholar 

  • Bregler C, Hertzmann A, Biermann H (2000) Recovering non-rigid 3D shape from image streams. In: IEEE Conference on computer vision and pattern recognition (CVPR). IEEE, pp 690–696

    Google Scholar 

  • Brubaker MA, Fleet DJ (2008) The kneed walker for human pose tracking. In: IEEE conference on, computer vision and pattern recognition, 2008 (CVPR 2008). pp 1–8, June 2008

    Google Scholar 

  • Brubaker MA, Sigal L, Fleet DJ (2009) Estimating contact dynamics. In: IEEE 12th international conference on Computer vision 2009. IEEE, pp 2389–2396

    Google Scholar 

  • Dai Y, Li H (2012) A simple prior-free method for non-rigid structure-from-motion factorization. In: Conference on computer vision and pattern recognition (CVPR), CVPR’12, IEEE Computer Society, Washington DC, pp 2018–2025, 2012

    Google Scholar 

  • Fang AC, Pollard NS (2003) Efficient synthesis of physically valid human motion. ACM Trans Graph 22(3):417–426

    Article  Google Scholar 

  • Fregly BJ, Reinbolt JA, Rooney KL, Mitchell KH, Chmielewski TL (2007) Design of patient-specific gait modifications for knee osteoarthritis rehabilitation. IEEE Trans Biomed Eng 54(9):1687–1695

    Article  Google Scholar 

  • Hamsici O, Gotardo P, Martinez A (2011) Learning spatially-smooth mappings in non-rigid structure from motion. In: European conference on computer vision (ECCV). Springer, Berlin/Heidelberg

    Google Scholar 

  • Johnson L, Ballard DH (2014) Efficient codes for inverse dynamics during walking. In: Proceedings of the twenty-eighth AAAI press conference on artificial intelligence, AAAI’14. AAAI Press, pp 343–349

    Google Scholar 

  • Kazemi V, Burenius M, Azizpour H, Sullivan J (2013) Multi-view body part recognition with random forests. In: British machine vision conference (BMVC). BMVC Press, Bristol

    Google Scholar 

  • Liu CK, Hertzmann A, Popović Z (2005) Learning physics-based motion style with nonlinear inverse optimization. ACM Trans Graph 24(3):1071–1081

    Article  Google Scholar 

  • Mayers D, Sli E (2003) An introduction to numerical analysis. Cambridge University Press, Cambridge

    Google Scholar 

  • Park HS, Shiratori T, Matthews I, Sheikh Y (2010) 3D reconstruction of a moving point from a series of 2D projections. In: European conference on computer vision (ECCV). Springer, Berlin/Heidelberg

    Google Scholar 

  • Powell MJD (1978) Numerical analysis. In: Proceedings of the Biennial Conference held at Dundee, chapter A fast algorithm for nonlinearly constrained optimization calculations, Springer, Berlin/Heidelberg, pp 144–157, June 28–July 1 1977

    Google Scholar 

  • Powers CM (2010) The influence of abnormal hip mechanics on knee injury: a biomechanical perspective. J Orthop Sports Phys Ther 40(2):42–51

    Article  Google Scholar 

  • Ramakrishna V, Kanade T, Sheikh YA (2012) Reconstructing 3D human pose from 2D image landmarks. In: European conference on computer vision (ECCV). Springer, Berlin/Heidelberg

    Google Scholar 

  • Safonova A, Hodgins JK, Pollard NS (2004) Synthesizing physically realistic human motion in low-dimensional, behavior-specific spaces. ACM Trans Graph 23(3):514–521

    Article  Google Scholar 

  • Schmalz T, Blumentritt S, Jarasch R (2002) Energy expenditure and biomechanical characteristics of lower limb amputee gait: the influence of prosthetic alignment and different prosthetic components. Gait Posture 16(3):255–263

    Article  Google Scholar 

  • Schwab AL, Delhaes GMJ (2009) Lecture notes multibody dynamics B, wb1413

    Google Scholar 

  • Sok KW, Kim M, Lee J (2007) Simulating biped behaviors from human motion data. ACM Trans Graph 26(3):107:1–107:9

    Article  Google Scholar 

  • Spong M, Hutchinson S, Vidyasagar M (2005) Robot modeling and control. Wiley

    Google Scholar 

  • Steinparz F (1985) Co-ordinate transformation and robot control with denavit-hartenberg matrices. J Microcomput Appl 8(4):303–316

    Article  Google Scholar 

  • Stelzer M, von Stryk O (2006) Efficient forward dynamics simulation and optimization of human body dynamics. ZAMM – J Appl Math Mech/Zeitschrift fr Angewandte Mathematik und Mechanik 86(10):828–840

    Article  MathSciNet  MATH  Google Scholar 

  • Tomasi C, Kanade T (1992) Shape and motion from image streams under orthography: a factorization method. Int J Comput Vis 9:137–154

    Article  Google Scholar 

  • Torresani L, Hertzmann A, Bregler C (2003) Learning non-rigid 3D shape from 2D motion. In: Thrun S, Saul LK, Schölkopf B (eds) Neural information processing systems (NIPS). MIT Press, Cambridge, MA

    Google Scholar 

  • Torresani L, Hertzmann A, Bregler C (2008) Nonrigid structure-from-motion: estimating shape and motion with hierarchical priors. In: IEEE Transactions pattern analysis and machine intelligence, IEEE, 21 March 2008

    Google Scholar 

  • Troje NF (2002a) Decomposing biological motion: a framework for analysis and synthesis of human gait patterns. J Vis 2(5):371–387

    Article  Google Scholar 

  • Troje NF (2002b) The little difference: Fourier based synthesis of gender-specific biological motion. AKA Press, Berlin, pp 115–120

    Google Scholar 

  • Vondrak M, Sigal L, Jenkins OC (2008) Physical simulation for probabilistic motion tracking. In: IEEE conference on computer vision and pattern recognition, 2008 (CVPR 2008), pp 1–8, June 2008. IEEE

    Google Scholar 

  • Wandt B, Ackermann H, Rosenhahn B (2015) 3d human motion capture from monocular image sequences. In: IEEE conference on computer vision and pattern recognition workshops, June 2015. IEEE

    Google Scholar 

  • Wandt B, Ackermann H, Rosenhahn B (2016) 3d reconstruction of human motion from monocular image sequences. IEEE Trans Pattern Anal Mach Intell 38(8):1505–1516

    Article  Google Scholar 

  • Wang C, Wang Y, Lin Z, Yuille A, Gao W (2014) Robust estimation of 3d human poses from a single image. In: IEEE Conference on computer vision and pattern recognition (CVPR). IEEE

    Google Scholar 

  • Wei X, Min J, Chai J (2011) Physically valid statistical models for human motion generation. ACM Trans Graph 30(3):19:1–19:10

    Article  Google Scholar 

  • Wren CR, Pentland AP (1998) Dynamic models of human motion. In: Proceedings of the third IEEE internatonal conference on automatic face and gesture recognition, Nara, April 1998.

    Google Scholar 

  • Xiang Y, Chung H-J, Kim JH, Bhatt R, Rahmatalla S, Yang J, Marler T, Arora JS, Abdel-Malek K (2010) Predictive dynamics: an optimization-based novel approach for human motion simulation. Struct Multidiscip Optim 41(3):465–479

    Article  MathSciNet  MATH  Google Scholar 

  • Zell P, Rosenhahn B (2015) Pattern recognition: 37th German conference, GCPR 2015. In: Proceedings, chapter A physics-based statistical model for human gait analysis, Springer International Publishing, Aachen, Germany, October 7–10, 2015, pp 169–180.

    Google Scholar 

  • Zordan VB, Majkowska A, Chiu B, Fast M (2005) Dynamic response for motion capture animation. ACM Trans Graph 24(3):697–701

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Petrissa Zell .

Editor information

Editors and Affiliations

Section Editor information

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing AG

About this entry

Cite this entry

Zell, P., Wandt, B., Rosenhahn, B. (2016). Physics-Based Models for Human Gait Analysis. In: Müller, B., et al. Handbook of Human Motion. Springer, Cham. https://doi.org/10.1007/978-3-319-30808-1_164-1

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-30808-1_164-1

  • Received:

  • Accepted:

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30808-1

  • Online ISBN: 978-3-319-30808-1

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

Publish with us

Policies and ethics