skip to main content
research-article
Free Access

Optimal feedback control for character animation using an abstract model

Published:26 July 2010Publication History
Skip Abstract Section

Abstract

Real-time adaptation of a motion capture sequence to virtual environments with physical perturbations requires robust control strategies. This paper describes an optimal feedback controller for motion tracking that allows for on-the-fly re-planning of long-term goals and adjustments in the final completion time. We first solve an offline optimal trajectory problem for an abstract dynamic model that captures the essential relation between contact forces and momenta. A feedback control policy is then derived and used to simulate the abstract model online. Simulation results become dynamic constraints for online reconstruction of full-body motion from a reference. We applied our controller to a wide range of motions including walking, long stepping, and a squat exercise. Results show that our controllers are robust to large perturbations and changes in the environment.

Skip Supplemental Material Section

Supplemental Material

tp099-10.mp4

mp4

47.3 MB

References

  1. Abe, Y., and Popović, J. 2006. Interactive animation of dynamic manipulation. In Eurographics/SIGGRAPH Symposium on Computer Animation. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. Abe, Y., Liu, C. K., and Popović, Z. 2004. Momentum-based parameterization of dynamic character motion. In Eurographics/SIGGRAPH Symposium on Computer Animation, 173--182. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. Abe, Y., da Silva, M., and Popović, J. 2007. Multiobjective control with frictional contacts. In ACM SIGGRAPH/Eurographics symposium on Computer animation, 249--258. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Alexander, R. 1995. Simple models of human movement. Applied Mechanics Reviews 48, 8.Google ScholarGoogle ScholarCross RefCross Ref
  5. Allen, B. F., Chu, D., Shapiro, A., and Faloutsos, P. 2007. On the beat!: timing and tension for dynamic characters. In Symposium on Computer Animation, 239--247. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. Blickhan, R. 1989. The spring-mass model for running and hopping. Journal of Biomechanics 22, 11--12.Google ScholarGoogle ScholarCross RefCross Ref
  7. da Silva, M., Abe, Y., and Popović, J. 2008. Interactive simulation of stylized human locomotion. In ACM Trans. on Graphics (SIGGRAPH), vol. 27, 1--10. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. Faloutsos, P., van de Panne, M., and Terzopoulos, D. 2001. Composable controllers for physics-based character animation. In ACM Trans. on Graphics (SIGGRAPH), 251--260. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. Gershwin, S. B., and Jacobson, D. H. 1968. A discrete-time differential dynamic programming algorithm with application to optimal orbit transfer. Tech. rep., Harvard University.Google ScholarGoogle Scholar
  10. Gill, P., Saunders, M., and Murray, W. 1996. Snopt: An sqp algorithm for large-scale constrained optimization. Tech. Rep. NA 96-2, University of California, San Diego.Google ScholarGoogle Scholar
  11. Goswami, A., and Kallem, V. 2004. Rate of change of angular momentum and balance maintenance of biped robots. In Proc. IEEE Int'l Conf on Robotics and Automation, IEEE, 3785--3790.Google ScholarGoogle Scholar
  12. Herr, H., and Popovic, M. 2008. Angular momentum in human walking. In Journal of Experimental Biology.Google ScholarGoogle Scholar
  13. Hodgins, J. K., and Pollard, N. S. 1997. Adapting simulated behaviors for new characters. In ACM Trans. on Graphics (SIGGRAPH), 153--162. Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. Hodgins, J. K., Wooten, W. L., Brogan, D. C., and O'Brien, J. F. 1995. Animating human athletics. In ACM Trans. on Graphics (SIGGRAPH), 71--78. Google ScholarGoogle ScholarDigital LibraryDigital Library
  15. Jacobson, D. H., and Mayne, D. Q. 1970. Differential dynamic programming. American Elsevier Pub. Co., New York.Google ScholarGoogle Scholar
  16. Jain, S., Ye, Y., and Liu, C. K. 2009. Optimization-based interactive motion synthesis. ACM Trans. on Graphics 28, 1. Google ScholarGoogle ScholarDigital LibraryDigital Library
  17. Kajita, S., Kanehiro, F., Kaneko, K., Fujiwara, K., Harada, K., Yokoi, K., and Hirukawa, H. 2003. Resolved momentum control: humanoid motion planning based on the linear and angular momentum. In Intelligent Robots and Systems, 1644--1650.Google ScholarGoogle Scholar
  18. Komura, T., Leung, H., and Kuffner, J. 2004. Animating reactive motions for biped locomotion. In VRST '04: Proceedings of the ACM symposium on Virtual reality software and technology, 32--40. Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. Kuo, A., Donelan, J., and Ruina, A. 2005. Energetic consequences of walking like an inverted pendulum: step-to-step transitions. Exerc Sport Sci Rev 33, 2.Google ScholarGoogle ScholarCross RefCross Ref
  20. Laszlo, J., van de Panne, M., and Fiume, E. 1996. Limit cycle control and its application to the animation of balancing and walking. In ACM Trans. on Graphics (SIGGRAPH). Google ScholarGoogle ScholarDigital LibraryDigital Library
  21. Liu, C., and Atkeson, C. 2009. Standing balance control using a trajectory library. In Int'l Conf on Intelligent Robots and Systems (IROS), 3031--3036. Google ScholarGoogle ScholarDigital LibraryDigital Library
  22. Liu, C. K., and Popović, Z. 2002. Synthesis of complex dynamic character motion from simple animations. ACM Trans. on Graphics (SIGGRAPH) 21, 3 (July), 408--416. Google ScholarGoogle ScholarDigital LibraryDigital Library
  23. Macchietto, A., Zordan, V., and Shelton, C. R. 2009. Momentum control for balance. ACM Trans. on Graphics (SIGGRAPH) 28, 3, 1--8. Google ScholarGoogle ScholarDigital LibraryDigital Library
  24. Muico, U., Lee, Y., Popović, J., and Popović, Z. 2009. Contact-aware nonlinear control of dynamic characters. ACM Trans. on Graphics (SIGGRAPH) 28, 3, 1--9. Google ScholarGoogle ScholarDigital LibraryDigital Library
  25. Neff, M., and Fiume, E. 2002. Modeling tension and relaxation for computer animation. In Eurographics/SIGGRAPH Symposium on Computer Animation, 81--88. Google ScholarGoogle ScholarDigital LibraryDigital Library
  26. Pollard, N. S., and Behmaram-Mosavat, F. 2000. Force-based motion editing for locomotion tasks. In Proceedings of the IEEE International Conference on Robotics and Automation.Google ScholarGoogle Scholar
  27. Popović, Z., and Witkin, A. 1999. Physically based motion transformation. In ACM Trans. on Graphics (SIGGRAPH). Google ScholarGoogle ScholarDigital LibraryDigital Library
  28. Popovic, M., Hofmann, A., and Herr, H. 2004. Zero spin angular momentum control: definition and applicability. In IEEE/RAS International Conference on Humanoid Robots.Google ScholarGoogle Scholar
  29. Shapiro, A., and Lee, S.-H. 2009. Practical character physics for animators. In ACM SIGGRAPH 2009 Talks. Google ScholarGoogle ScholarDigital LibraryDigital Library
  30. Shiratori, T., Coley, B., Cham, R., and Hodgins, J. K. 2009. Simulating balance recovery responses to trips based on biomechanical principles. In Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation. Google ScholarGoogle ScholarDigital LibraryDigital Library
  31. Sok, K. W., Kim, M., and Lee, J. 2007. Simulating biped behaviors from human motion data. ACM Trans. on Graphics (SIGGRAPH) 26, 3 (Aug.), 107. Google ScholarGoogle ScholarDigital LibraryDigital Library
  32. Speyer, J. L., and Bryson, A. E. 1968. A neighboring optimum feedback control scheme based on estimated time-to-go with application to re-entry flight paths. In AIAA Journal, vol. 6.Google ScholarGoogle Scholar
  33. Stephens, B., and Atkeson, C. 2009. Modeling and control of periodic humanoid balance using the linear biped model. In Proc. IEEE Int'l Conf. on Humanoid Robotics.Google ScholarGoogle Scholar
  34. van de Panne, M. 1997. From footprints to animation. Computer Graphics Forum 16, 4 (October).Google ScholarGoogle ScholarCross RefCross Ref
  35. Wampler, K., and Popović, Z. 2009. Optimal gait and form for animal locomotion. ACM Trans. on Graphics 28, 3, 1--8. Google ScholarGoogle ScholarDigital LibraryDigital Library
  36. Wang, J., Fleet, D., and Hertzmann, A. 2009. Optimizing walking controller. ACM Trans. on Graphics (SIGGRAPH) 28, 5 (Dec.). Google ScholarGoogle ScholarDigital LibraryDigital Library
  37. Whitman, E., and Atkeson, C. G. 2009. Control of a walking biped using a combination of simple policies. In IEEE Int'l Conf. on Humanoid Robotics.Google ScholarGoogle Scholar
  38. Wooten, W. L. 1998. Simulation of Leaping, Tumbling, Landing, and Balancing Humans. PhD thesis, Georgia Institute of Technology. Google ScholarGoogle ScholarDigital LibraryDigital Library
  39. Yamane, K., and Hodgins, J. 2009. Simultaneous tracking and balancing of humanoid robots for imitating human motion capture data. In Int'l Conf on Intelligent Robots and Systems (IROS). Google ScholarGoogle ScholarDigital LibraryDigital Library
  40. Ye, Y., and Liu, C. K. 2008. Animating responsive characters with dynamic constraints in near-unactuated coordinates. ACM Trans. on Graphics (SIGGRAPH ASIA) 27, 5, 1--5. Google ScholarGoogle ScholarDigital LibraryDigital Library
  41. Yin, K., Cline, M. B., and Pai, D. K. 2003. Motion perturbation based on simple neuromotor control models. In Pacific Graphics. Google ScholarGoogle ScholarDigital LibraryDigital Library
  42. Yin, K., Loken, K., and van de Panne, M. 2007. Simbicon: simple biped locomotion control. ACM Trans. on Graphics (SIGGRAPH) 26, 3, 105. Google ScholarGoogle ScholarDigital LibraryDigital Library
  43. Zordan, V. B., and Hodgins, J. K. 1999. Tracking and modifying upper-body human motion data with dynamic simulation. In EG Workshop on Computer Animation and Simulation.Google ScholarGoogle Scholar
  44. Zordan, V. B., and Hodgins, J. K. 2002. Motion capture-driven simulations that hit and react. In Eurographics/SIGGRAPH Symposium on Computer Animation, 89--96. Google ScholarGoogle ScholarDigital LibraryDigital Library
  45. Zordan, V. B., Majkowska, A., Chiu, B., and Fast, M. 2005. Dynamic response for motion capture animation. ACM Trans. on Graphics (SIGGRAPH) 24, 3 (July), 697--701. Google ScholarGoogle ScholarDigital LibraryDigital Library

Index Terms

  1. Optimal feedback control for character animation using an abstract model

    Recommendations

    Comments

    Login options

    Check if you have access through your login credentials or your institution to get full access on this article.

    Sign in

    Full Access

    • Published in

      cover image ACM Transactions on Graphics
      ACM Transactions on Graphics  Volume 29, Issue 4
      July 2010
      942 pages
      ISSN:0730-0301
      EISSN:1557-7368
      DOI:10.1145/1778765
      Issue’s Table of Contents

      Copyright © 2010 ACM

      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 26 July 2010
      Published in tog Volume 29, Issue 4

      Permissions

      Request permissions about this article.

      Request Permissions

      Check for updates

      Qualifiers

      • research-article

    PDF Format

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader