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F J Blanco - One of the best experts on this subject based on the ideXlab platform.

  • a Mathematical Formalism for the evaluation of c space for redundant robots
    Lecture Notes in Computer Science, 2005
    Co-Authors: Roberto Theron, B. Curto, V. Moreno, F J Blanco
    Abstract:

    This paper presents a new general method for obstacle representation in the configuration space (C-space) for redundant robots. The method is based on the analytical deconstruction of the C-space, i.e., the separated evaluation of the C-space portion contributed by the collisions of each link in the kinematic chain. The systematic application of a simple convolution of two functions describing each link and the workspace, respectively, is applied. In order to do that, the transformation of the workspace among reference systems located at one point of each link is needed; in this step a well-known and sound method is used.

Roberto Theron - One of the best experts on this subject based on the ideXlab platform.

  • a Mathematical Formalism for the evaluation of c space for redundant robots
    Lecture Notes in Computer Science, 2005
    Co-Authors: Roberto Theron, B. Curto, V. Moreno, F J Blanco
    Abstract:

    This paper presents a new general method for obstacle representation in the configuration space (C-space) for redundant robots. The method is based on the analytical deconstruction of the C-space, i.e., the separated evaluation of the C-space portion contributed by the collisions of each link in the kinematic chain. The systematic application of a simple convolution of two functions describing each link and the workspace, respectively, is applied. In order to do that, the transformation of the workspace among reference systems located at one point of each link is needed; in this step a well-known and sound method is used.

Nirmal Tej Kumar - One of the best experts on this subject based on the ideXlab platform.

J P P Vieira - One of the best experts on this subject based on the ideXlab platform.

  • models for small scale structure of cosmic strings Mathematical Formalism
    Physical Review D, 2014
    Co-Authors: C J A P Martins, E P S Shellard, J P P Vieira
    Abstract:

    We describe the Formalism of a quantitative analytic model for the evolution of realistic wiggly (as opposed to Goto-Nambu) cosmic strings. The model is particularly suited for describing the evolution of small-scale structure on string networks. We discuss model solutions in the extreme limit where the wiggles make up a high fraction of the total energy of the string network (which physically corresponds to the tensionless limit) and also provide a brief discussion of the opposite (linear) limit where wiggles are a small fraction of the total energy. A companion paper will discuss the detailed modeling and scaling behavior of the small-scale wiggles in the general model, together with a basic comparison with numerical simulations.

B. Curto - One of the best experts on this subject based on the ideXlab platform.

  • a Mathematical Formalism for the evaluation of c space for redundant robots
    Lecture Notes in Computer Science, 2005
    Co-Authors: Roberto Theron, B. Curto, V. Moreno, F J Blanco
    Abstract:

    This paper presents a new general method for obstacle representation in the configuration space (C-space) for redundant robots. The method is based on the analytical deconstruction of the C-space, i.e., the separated evaluation of the C-space portion contributed by the collisions of each link in the kinematic chain. The systematic application of a simple convolution of two functions describing each link and the workspace, respectively, is applied. In order to do that, the transformation of the workspace among reference systems located at one point of each link is needed; in this step a well-known and sound method is used.

  • Mathematical Formalism for the fast evaluation of the configuration space
    Proceedings 1997 IEEE International Symposium on Computational Intelligence in Robotics and Automation CIRA'97. 'Towards New Computational Principles , 1997
    Co-Authors: B. Curto, V. Moreno
    Abstract:

    In this paper a Mathematical Formalism for the configuration space evaluation of robots is presented, that tries to optimise the computational time. The use of the proposed method and the choice of a suitable coordinate system, in the workspace, as well as in the configuration space, lead to the fact that the obstacle representation in the configuration space could be seen as a convolution of two functions that describe the robot and the obstacles respectively. The method has been applied to mobile and articulated robots in the two dimensional plane, but its application to the most popular robots can be easily done. Additionally, the computational load is independent of the shape and number of obstacles and of the robot shape. The Mathematical tool that has been used is the FFT (fast Fourier transform) since it eases the parallel implementation of the resulting algorithms reducing significantly the computational load.

  • CIRA - Mathematical Formalism for the fast evaluation of the configuration space
    Proceedings 1997 IEEE International Symposium on Computational Intelligence in Robotics and Automation CIRA'97. 'Towards New Computational Principles , 1997
    Co-Authors: B. Curto, V. Moreno
    Abstract:

    In this paper a Mathematical Formalism for the configuration space evaluation of robots is presented, that tries to optimise the computational time. The use of the proposed method and the choice of a suitable coordinate system, in the workspace, as well as in the configuration space, lead to the fact that the obstacle representation in the configuration space could be seen as a convolution of two functions that describe the robot and the obstacles respectively. The method has been applied to mobile and articulated robots in the two dimensional plane, but its application to the most popular robots can be easily done. Additionally, the computational load is independent of the shape and number of obstacles and of the robot shape. The Mathematical tool that has been used is the FFT (fast Fourier transform) since it eases the parallel implementation of the resulting algorithms reducing significantly the computational load.