Changes between Version 6 and Version 7 of Hand/280/KinematicsJointRangesConversionFactors
- Timestamp:
- Oct 29, 2013, 5:16:01 PM (11 years ago)
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Hand/280/KinematicsJointRangesConversionFactors
v6 v7 161 161 The transforms from each axis to the next can be determined using the homogeneous transform in Equation 1 and finger link parameters in Table 9. Each of the first three link parameters are fixed and the fourth one is configuration dependent on one of the position variables Θ,,k1,,, Θ,,k2,,, or Θ,,k3,, for the first three joints. 162 162 163 It is useful to check that the multiplication of the four transformation matrices matches for a given finger and at least one hand configuration, such as the zero position. The computed homogeneous transformation matrix from the wrist to tool frame for finger 1is:164 165 {{{ 166 #!div class="center" align="center" 167 '''Equation 3 - Forward Kinematics Matrix for Finger F1'''163 It is useful to check that the multiplication of the four transformation matrices matches for a given finger and at least one hand configuration, such as the zero position. The computed homogeneous transformation matrix from the wrist to tool frame for a finger is: 164 165 {{{ 166 #!div class="center" align="center" 167 '''Equation 3 - Forward Kinematics Matrix for a Finger''' 168 168 169 169 {{{ … … 188 188 $c_{1}=cos(r\cdot\theta_{k1}-(\pi/2)\cdot j)$ 189 189 190 $s_{1}= cos(r\cdot\theta_{k1}-(\pi/2)\cdot j)$190 $s_{1}=sin(r\cdot\theta_{k1}-(\pi/2)\cdot j)$ 191 191 192 192 $k=1$