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APPENDIXA-TERMS AND DEFINITIONS


Robotics and Systems Control


Articulated Figure- A set of rigid body segments connected by rotary joints.

Degrees of Freedom (DOFs)- The set of variables required to fully specify a creature's

position and orientation in free space.

A single rigid body in free space has six

degrees of freedom, three for position and three for orientation.


Kinematics- Computation of the absolute position of all parts of a creature, given the


relative joint angles. In animation, kinematics typically refers to the specification or

manipulation of the joint angles and velocities without regard to physics.

Inverse

Kinematics

-

Computation

of

the

intermediate

joint

angles

from

absolute

positions. For example, computing the angles of leg joints needed to place a foot in

a particular position.


Dynamics- Computation of the accelerations of the links of an articulated figure using the

laws of physics.

Inverse Dynamics- Computation of the torques and forces required to be applied to a body


to achieve desired accelerations.


Centre of mass (COM)- The single point on a body through which a linear force can be


considered to act, defined as:

IMAGE Imgs/thesis.final.w6185.gif IMAGE Imgs/thesis.final.w6186.gif
M

where M is the total mass.

System state- The set of variables required to fully specify the position and velocity of

every point on an object.

The system state of an object consists of its degrees of

freedom and their derivatives. Figure A-1 shows the two components of the state for

[CONVERTED BY MYRMIDON]