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Zhenbing Zeng - One of the best experts on this subject based on the ideXlab platform.

  • A practical symbolic algorithm for the inverse kinematics of 6R manipulators with Simple Geometry
    Lecture Notes in Computer Science, 1997
    Co-Authors: Lu Yang, Zhenbing Zeng
    Abstract:

    We present a practical symbolic algorithm for the inverse kinematics of 6R manipulator with Simple Geometry. The distinct feature of the algorithm lies at automatically producing symbolic solutions of inverse kinematics in closed form for the existing industrial robots so far as we know. In this paper, we make use of the algebraic properties of closure equation described in [RR90] to obtain a set of additional equations, then solve the new system consisting of the original equations and additional ones by Gaussian elimination and Bezout resultant. The symbolic computations involved in the algorithm are implemented by Maple computer algebra system. The running time of the algorithm, for all examples we implemented, is in 60 seconds on Pentium 75 machine. Especially, we have obtained symbolic closed form solutions of some Puma type robots [W89] for the first time. This approach is also applicable to inverse kinematics of all serial manipulators with Simple Geometry.

  • CADE - A Practical Symbolic Algorithm for the Inverse Kinematics of 6R Manipulators with Simple Geometry
    Automated Deduction—CADE-14, 1997
    Co-Authors: Lu Yang, Zhenbing Zeng
    Abstract:

    We present a practical symbolic algorithm for the inverse kinematics of 6R manipulator with Simple Geometry. The distinct feature of the algorithm lies at automatically producing symbolic solutions of inverse kinematics in closed form for the existing industrial robots so far as we know. In this paper, we make use of the algebraic properties of closure equation described in [RR90] to obtain a set of additional equations, then solve the new system consisting of the original equations and additional ones by Gaussian elimination and Bezout resultant. The symbolic computations involved in the algorithm are implemented by Maple computer algebra system. The running time of the algorithm, for all examples we implemented, is in 60 seconds on Pentium 75 machine. Especially, we have obtained symbolic closed form solutions of some Puma type robots [W89] for the first time. This approach is also applicable to inverse kinematics of all serial manipulators with Simple Geometry.

David Jui-yang Feng - One of the best experts on this subject based on the ideXlab platform.

Tsong-sheng Lay - One of the best experts on this subject based on the ideXlab platform.

T. Y. Chang - One of the best experts on this subject based on the ideXlab platform.

Lu Yang - One of the best experts on this subject based on the ideXlab platform.

  • A practical symbolic algorithm for the inverse kinematics of 6R manipulators with Simple Geometry
    Lecture Notes in Computer Science, 1997
    Co-Authors: Lu Yang, Zhenbing Zeng
    Abstract:

    We present a practical symbolic algorithm for the inverse kinematics of 6R manipulator with Simple Geometry. The distinct feature of the algorithm lies at automatically producing symbolic solutions of inverse kinematics in closed form for the existing industrial robots so far as we know. In this paper, we make use of the algebraic properties of closure equation described in [RR90] to obtain a set of additional equations, then solve the new system consisting of the original equations and additional ones by Gaussian elimination and Bezout resultant. The symbolic computations involved in the algorithm are implemented by Maple computer algebra system. The running time of the algorithm, for all examples we implemented, is in 60 seconds on Pentium 75 machine. Especially, we have obtained symbolic closed form solutions of some Puma type robots [W89] for the first time. This approach is also applicable to inverse kinematics of all serial manipulators with Simple Geometry.

  • CADE - A Practical Symbolic Algorithm for the Inverse Kinematics of 6R Manipulators with Simple Geometry
    Automated Deduction—CADE-14, 1997
    Co-Authors: Lu Yang, Zhenbing Zeng
    Abstract:

    We present a practical symbolic algorithm for the inverse kinematics of 6R manipulator with Simple Geometry. The distinct feature of the algorithm lies at automatically producing symbolic solutions of inverse kinematics in closed form for the existing industrial robots so far as we know. In this paper, we make use of the algebraic properties of closure equation described in [RR90] to obtain a set of additional equations, then solve the new system consisting of the original equations and additional ones by Gaussian elimination and Bezout resultant. The symbolic computations involved in the algorithm are implemented by Maple computer algebra system. The running time of the algorithm, for all examples we implemented, is in 60 seconds on Pentium 75 machine. Especially, we have obtained symbolic closed form solutions of some Puma type robots [W89] for the first time. This approach is also applicable to inverse kinematics of all serial manipulators with Simple Geometry.