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20    Human Inspired Dexterity in Robotic Manipulation


          have not been validated because the representative hands are virtual and no
          one has the same hand dimensions as the representatives. They should be
          investigated by comparing individual hand models obtained from measured
          joint centers, surface shapes, and landmark positions with that created from
          the PC scores and eigenvectors.
             The representative hand models of virtual individuals at the center and
          boundary of the distribution is used for screening design candidates of the
          hand-held product. This allows us to eliminate prototype fabrications and
          user experiments from the product design process, especially in its early stage.

          2.4 ANALYSIS BY DIGITAL-HAND MODEL

          2.4.1 Motion Analysis and Posture Synthesis
          Hand postures and motion are synthesized from MoCap data, the posture
          database, or inverse kinematics computation given contact constraints
          between hand and object.
             Among these three methods, the MoCap based one is the most intuitive.
          In this method, the individual digital-hand model is fit in the MoCap data
          by minimizing the error between the measured marker positions and corre-
          sponding landmark positions assigned to the digital-hand model (Fig. 2.4).
          However, this method is applicable only to the individual model, as no one
          has the same hand dimensions as the representatives. The database and
          inverse kinematics driven posture synthesis are thus important to synthesize
          posture and motion for the representative hands.
             The hand posture database is constructed from measured MoCap data. In
          the simplest case, a hand posture is synthesized by computing the weighted
          sum of the existing data captured in different postures. The motion profile of
          the hand from initial to final posture is also synthesized by similar interpo-
          lation [17]. This method ignores the coupling between DIP and PIP joint
          movements, or that between the joint movements of the fourth and fifth
          fingers. This will sometimes lead to the synthesis of realistic, but infeasible
          posture and motion.
             Similar to the concept of the boundary family, another method for con-
          structing the posture database is to introduce a statistical approach [5].By
          conducting a PCA for the measured MoCap data, the hand posture is repre-
          sented by a smaller number of parameters. In this method, it is possible to
          synthesize a realistic hand posture from the PC scores and the eigenvectors.
          Also, it is possible to clarify the representative hand postures that appear in
          our daily life (Fig. 2.5), if this method is applied to the hand motion data
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