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- Rational_motion abstract "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 (E3), where the displacement depends on one parameter, mostly identified as time.Rational motions are defined by rational functions (ratio of two polynomial functions) of time. They produce rational trajectories, and therefore they integrate well with the existing NURBS (Non-Uniform Rational B-Spline) based industry standard CAD/CAM systems. They are readily amenable to the applications of existing computer-aided geometric design (CAGD) 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 (key frame interpolation), trajectory planning in robotics (taught-position interpolation), spatial navigation in virtual reality, computer-aided geometric design of motion via interactive interpolation, CNC tool path planning, and task specification in mechanism synthesis.".
- Rational_motion wikiPageExternalLink cadcam.eng.sunysb.edu.
- Rational_motion wikiPageExternalLink ~pierrel.
- Rational_motion wikiPageExternalLink ~mccarthy.
- Rational_motion wikiPageID "18436662".
- Rational_motion wikiPageLength "10239".
- Rational_motion wikiPageOutDegree "37".
- Rational_motion wikiPageRevisionID "570829070".
- Rational_motion wikiPageWikiLink Animation.
- Rational_motion wikiPageWikiLink Bézier_curve.
- Rational_motion wikiPageWikiLink CAM.
- Rational_motion wikiPageWikiLink CNC.
- Rational_motion wikiPageWikiLink Category:Kinematics.
- Rational_motion wikiPageWikiLink Computational_geometry.
- Rational_motion wikiPageWikiLink Computer-aided_design.
- Rational_motion wikiPageWikiLink Computer-aided_technologies.
- Rational_motion wikiPageWikiLink Computer_animation.
- Rational_motion wikiPageWikiLink Curve_(disambiguation).
- Rational_motion wikiPageWikiLink Curves.
- Rational_motion wikiPageWikiLink Dual_number.
- Rational_motion wikiPageWikiLink Dual_quaternion.
- Rational_motion wikiPageWikiLink Homogeneous_coordinates.
- Rational_motion wikiPageWikiLink Interpolation.
- Rational_motion wikiPageWikiLink Kinematics.
- Rational_motion wikiPageWikiLink Mechanism_design.
- Rational_motion wikiPageWikiLink Mechanism_synthesis.
- Rational_motion wikiPageWikiLink NURBS.
- Rational_motion wikiPageWikiLink Non-uniform_rational_B-spline.
- Rational_motion wikiPageWikiLink Nonuniform_rational_B-spline.
- Rational_motion wikiPageWikiLink Numerical_control.
- Rational_motion wikiPageWikiLink Polynomial.
- Rational_motion wikiPageWikiLink Polynomial_function.
- Rational_motion wikiPageWikiLink Quaternion.
- Rational_motion wikiPageWikiLink Rational_function.
- Rational_motion wikiPageWikiLink Rigid_body.
- Rational_motion wikiPageWikiLink Robot_kinematics.
- Rational_motion wikiPageWikiLink Robotics.
- Rational_motion wikiPageWikiLink Rotation.
- Rational_motion wikiPageWikiLink Spatial_displacements.
- Rational_motion wikiPageWikiLink Surface.
- Rational_motion wikiPageWikiLink Surfaces.
- Rational_motion wikiPageWikiLink Tool_path_planning.
- Rational_motion wikiPageWikiLink Trajectories.
- Rational_motion wikiPageWikiLink Trajectory.
- Rational_motion wikiPageWikiLink Virtual_reality.
- Rational_motion wikiPageWikiLink File:Rational_Bezier_motion_of_degree-6.jpg.
- Rational_motion wikiPageWikiLinkText "Rational motion".
- Rational_motion hasPhotoCollection Rational_motion.
- Rational_motion wikiPageUsesTemplate Template:Reflist.
- Rational_motion subject Category:Kinematics.
- Rational_motion type Article.
- Rational_motion type Article.
- Rational_motion type Machine.
- Rational_motion type Mechanic.
- Rational_motion comment "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 (E3), where the displacement depends on one parameter, mostly identified as time.Rational motions are defined by rational functions (ratio of two polynomial functions) of time.".
- Rational_motion label "Rational motion".
- Rational_motion sameAs m.04f368m.
- Rational_motion sameAs Q7295771.
- Rational_motion sameAs Q7295771.
- Rational_motion wasDerivedFrom Rational_motion?oldid=570829070.
- Rational_motion isPrimaryTopicOf Rational_motion.