1 Answers
In kinematics, the motion of a rigid body is defined as a continuous set of displacements. One-parameter motions can be definedas a continuous displacement of moving object with respect to a fixed frame in Euclidean three-space , where the displacement depends on one parameter, mostly identified as time.
Rational motions are defined by rational functions of time. They produce rational trajectories, and therefore they integrate well with the existing NURBS based industry standard CAD/CAM systems. They are readily amenable to the applications of existing computer-aided geometric design algorithms. By combining kinematics of rigid body motions with NURBS geometry of curves and surfaces, methods have been developed for computer-aided design of rational motions.
These CAD methods for motion design find applications in animation in computer graphics , trajectory planning in robotics , spatial navigation in virtual reality, computer-aided geometric design of motion via interactive interpolation, CNC tool path planning, and task specification in mechanism synthesis.