Application: Analyzing Human Body Motions Using Manifolds and Critical Points

  • Anatolij T. Fomenko
  • Tosiyasu L. Kinii


This chapter discusses how we can use manifolds and critical points to analyze human body motions on the computer. A robot or a human body can be modeled as a multibody, that is, a system of rigid bodies connected by joints. The analysis of human body motions is, however, far more complex than that of a robot. A robot consists of several segments, each being a rigid body. A human body, by contrast, has many more parts, and they are not really rigid, although we model them as if they were. We first modeled a human body as a multibody consisting of fifty segments, as shown in Figure 7.1. A recent extension has added more segments, actually of hands, and now the multibody has 82 segments.


Jacobian Matrix Joint Angle Configuration Space Representative Point Joint Rotation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Japan 1997

Authors and Affiliations

  • Anatolij T. Fomenko
    • 1
  • Tosiyasu L. Kinii
    • 2
    • 3
  1. 1.Department of Differential Geometry and Application, Faculty of Mathematics and MechanicsMoscow State UniversityMoscowRussia
  2. 2.Laboratory of Digital Art and TechnologyTokyo, 113Japan
  3. 3.Senior Partner of MONOLITH Co. Ltd.Tokyo, 106Japan

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