1 Kinematics Algorithms.- 1.1 Coordinate Free Criteria for Testing the Linear Dependence of the Sets of Screws.- 1.2 A Pseudo-dual Notation for Kinematic Calculations.- 1.3 Mobile Robot Localization by Cable-Extension Transducers.- 1.4 An Extension Theorem for Kinematic Systems of Equations.- 1.5 Applications of Clifford Algebras in Robotics.- 1.6 Elimination Methods for Spatial Synthesis.- 1.7 The Application of Finite Displacement Screws to Drawing Constraints.- 1.8 Real Root Counting for Some Robotics Problems.- 1.9 A Spatial Constraint Problem.- 1.10 Motor Tensor Calculus.- 2 Kinematics of Mechanisms.- 2.1 The Inverted Slider-Crank Used for the Design of an Approximated Straight-Line Mechanism.- 2.2 On the Choice of Independent Loops in Mechanism Kinematics.- 2.3 Symbolic and Numeric Computation for the Real-Time Simulation of a Car Behavior.- 2.4 On Minimum Joint Torque Configurations of Multiple-Link Manipulator.- 3. Singularities.- 3.1 A Determination of Singular Configurations of Serial Non-Redundant Manipulators, and Their Escapement from Singularities Using Lie Products.- 3.2 A General Criterion for the Identification of Nonsingular Posture Changing 3-DOF Manipulators.- 3.3 Identification and Classification of the Singular Configurations of Mechanisms.- 4. Workspace.- 4.1 Analytical Constraints for a Workspace Design of 2R Manipulators.- 4.2 A Hierarchical Representation of the Space Occupancy of a Robot Mechanism.- 4.3 Domains of Operation and Interference for Bodies in Mechanisms and Manipulators.- 4.4 Designing a Parallel Manipulator for a Specific Workspace.- 5. Parallel Manipulators.- 5.1 On the Isotropic Design of General Six-Degree-of-Freedom Parallel Manipulators.- 5.2 Stewart Platform Based 6-Axis Force and Torque Transducers.- 5.3 A Closed-Form Solution for the Direct Kinematics of a Special Class of Spherical Three-Degree-of-Freedom Parallel Manipulators.- 5.4 Algorithms for Kinematic Calibration of Fully-Parallel Manipulators.- 5.5 Parallel Redundant Manipulators Based on Open and Closed Normal Assur Chains.- 5.6 Forward Kinematics of a Parallel Manipulator with Additional Rotary Sensors Measuring the Position of Platform Joints.- 6 Motion and Grasp Planning.- 6.1 On the Modeling of Grasps with a Multi-Fingered Hand.- 6.2 A Special Class of C3 Rational Quartic Spline Curves for Two-Harmonic Trajectory Synthesis.- 6.3 Computing the Immobilizing Three-Finger Grasps of Planar Objects.- 6.4 A Dynamic Formulation for Planar Motions Using Geometric Kinematics and CAGD.
1 Kinematics Algorithms.- 1.1 Coordinate Free Criteria for Testing the Linear Dependence of the Sets of Screws.- 1.2 A Pseudo-dual Notation for Kinematic Calculations.- 1.3 Mobile Robot Localization by Cable-Extension Transducers.- 1.4 An Extension Theorem for Kinematic Systems of Equations.- 1.5 Applications of Clifford Algebras in Robotics.- 1.6 Elimination Methods for Spatial Synthesis.- 1.7 The Application of Finite Displacement Screws to Drawing Constraints.- 1.8 Real Root Counting for Some Robotics Problems.- 1.9 A Spatial Constraint Problem.- 1.10 Motor Tensor Calculus.- 2 Kinematics of Mechanisms.- 2.1 The Inverted Slider-Crank Used for the Design of an Approximated Straight-Line Mechanism.- 2.2 On the Choice of Independent Loops in Mechanism Kinematics.- 2.3 Symbolic and Numeric Computation for the Real-Time Simulation of a Car Behavior.- 2.4 On Minimum Joint Torque Configurations of Multiple-Link Manipulator.- 3. Singularities.- 3.1 A Determination of Singular Configurations of Serial Non-Redundant Manipulators, and Their Escapement from Singularities Using Lie Products.- 3.2 A General Criterion for the Identification of Nonsingular Posture Changing 3-DOF Manipulators.- 3.3 Identification and Classification of the Singular Configurations of Mechanisms.- 4. Workspace.- 4.1 Analytical Constraints for a Workspace Design of 2R Manipulators.- 4.2 A Hierarchical Representation of the Space Occupancy of a Robot Mechanism.- 4.3 Domains of Operation and Interference for Bodies in Mechanisms and Manipulators.- 4.4 Designing a Parallel Manipulator for a Specific Workspace.- 5. Parallel Manipulators.- 5.1 On the Isotropic Design of General Six-Degree-of-Freedom Parallel Manipulators.- 5.2 Stewart Platform Based 6-Axis Force and Torque Transducers.- 5.3 A Closed-Form Solution for the Direct Kinematics of a Special Class of Spherical Three-Degree-of-Freedom Parallel Manipulators.- 5.4 Algorithms for Kinematic Calibration of Fully-Parallel Manipulators.- 5.5 Parallel Redundant Manipulators Based on Open and Closed Normal Assur Chains.- 5.6 Forward Kinematics of a Parallel Manipulator with Additional Rotary Sensors Measuring the Position of Platform Joints.- 6 Motion and Grasp Planning.- 6.1 On the Modeling of Grasps with a Multi-Fingered Hand.- 6.2 A Special Class of C3 Rational Quartic Spline Curves for Two-Harmonic Trajectory Synthesis.- 6.3 Computing the Immobilizing Three-Finger Grasps of Planar Objects.- 6.4 A Dynamic Formulation for Planar Motions Using Geometric Kinematics and CAGD.
The aim of this book is to provide an account of the state of the art in Com putational Kinematics. We understand here under this term ,that branch of kinematics research involving intensive...
Recently, research in robot kinematics has attracted researchers with different theoretical profiles and backgrounds, such as mechanical and electrica! engineering, computer science, and mathematics...
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of...
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of...
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