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16    Human Inspired Dexterity in Robotic Manipulation


          the positions of joint centers on the two-dimensional image. In these
          methods, joint-center position in the normal direction to the image may
          not be accurate, because it cannot be measured directly from the image,
          and thus it is estimated from a predefined regression model [12].
             In the medical images-based methods, multiple MRI images or CT
          images are acquired from the same subject in different postures (joint angles),
          and bone surfaces geometries are extracted from these images by applying
          image segmentation. The procedure to compute the joint centers is as fol-
          lows. The proximal bone of the joint target in different postures are regis-
          tered first, then transformation matrices that describe relative movement of
          the distal bone with respect to the proximal bone are computed, and finally,
          a joint center for this joint is determined by finding an immovable point of
          the transformation.
             The MoCap data based methods utilize hand motions collected using a
          MoCap system that measures three-dimensional coordinates of retro-
          reflective spherical markers. At least three markers attached to each link
          are enough to describe relative movements of the distal bone with respect
          to the proximal bone. However, this is not a practical solution, because more
          than fifty markers are necessary to capture the entire movement of the link
          structure. Usually, to minimize the number of markers attached to the hand,
          only one marker at the joint is attached, and the position of the marker is
          measured while the subject is performing the calibration motion for each
          joint to estimate the joint centers as an immovable point regardless of the
          joint movement.
             The link length is calculated as the distance between two adjacent joint
          centers. The link length of the most distal segment of the finger is calculated
          as the distance between the fingertip and the DIP joint center. In the digital-
          hand model, the link length is always assumed to be constant.
             In terms of reliability, the second approach generates the best link struc-
          ture, because the medical images have three-dimensional information, and
          unlike the third approach, it is not affected by skin movement artifact [11].
          However, the third approach is the most common, because the MoCap is
          also used in the mechanical analysis for synthesizing hand posture and
          motion after creating the link and joint model.


          2.2.3 Surface Mesh of a Digital Hand
          Like the second approach in determining joint centers, a surface mesh of a
          digital-hand model is usually created by applying image segmentation to
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