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Mathematical Modeling of Emotional Body Language During Human Walking

In: Modeling, Simulation and Optimization of Complex Processes - HPSC 2012

Author

Listed:
  • Martin L. Felis

    (Heidelberg University, Interdisciplinary Center for Scientific Computing (IWR))

  • Katja Mombaur

    (Heidelberg University, Interdisciplinary Center for Scientific Computing (IWR))

  • Alain Berthoz

    (Laboratoire de Physiologie de la Perception et de l’Action (LPPA))

Abstract

The study of emotional facial expressions and of emotional body language is currently receiving a lot of attention in various research areas. In this research, we study implicit bodily expression of emotions during standard motions such as walking forwards. An underlying assumption of our work is that all human motion is optimal in some sense and that different emotions induce different objective functions, which result in different deformations of normal motion. We created a 2-D rigid-body model of a human for which we use its dynamics simulation in an optimal control context. This approach allows us to obtain different styles of motion by using different objective criteria. We present the model, the optimal control problem formulation and the direct multiple-shooting method that efficiently solves this problem. The results of this work form the foundation for further analysis of emotional motions using inverse optimal control methods.

Suggested Citation

  • Martin L. Felis & Katja Mombaur & Alain Berthoz, 2014. "Mathematical Modeling of Emotional Body Language During Human Walking," Springer Books, in: Hans Georg Bock & Xuan Phu Hoang & Rolf Rannacher & Johannes P. Schlöder (ed.), Modeling, Simulation and Optimization of Complex Processes - HPSC 2012, edition 127, pages 25-35, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-09063-4_3
    DOI: 10.1007/978-3-319-09063-4_3
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