Kinematic Analysis of an Innovative Medical Parallel Robot Using Study Parameters

The paper investigates the kinematic analysis of an innovative 5-DOF parallel medical robot used for brachytherapy. Robotic assisted brachytherapy involves the targeted treatment of cancerous cells delivering high dosages of radiation inside the tumor, using as guiding tool a highly accurate robotic arm. The kinematic modeling of this mechanism is addressed using algebraic constraint varieties and the Study parametrization of the Euclidean displacement group. Algebraic methods in connection with classical multi-dimensional geometry have proven to be very efficient in the computation of direct and inverse kinematics of mechanisms as well as the explanation of strange, pathological behavior. The obtained results are simulated and compared with the results obtained by the evaluation of the determinants of the A and B Jacobi matrices. This complete kinematic analysis of the robot will largely increase its safety during the medical procedure.