Conformal geometric algebra is defined in the thesis. Representations of geometric objects and possibilities of their geometric transformations are presented. Conformal geometric algebra is applied to the calculation of forward kinematics of a robotic manipulator UR10 from Universal Robots. It is also applied to determine the position of the machine based on the location and rotation of two cameras. Then it is used in an inverse task, where based on records from the two cameras, dimensions of the UR10 manipulator and possibilities of its movement, the mutual position of these cameras is determined. And consequently the possibilities of their location in space. Finally, the derived procedures are implemented in a custom program created in the CluCalc environment, using which a sample example verifying the correctness of these procedures is calculated.

As manufacturers are automating their production lines the use of robots isincreasing, but this does not exclude the need from humans with their nifty hands.Robots are using a certain tool for a certain job while humans have their hands forall situations. Schunk has developed a hand for these robot arms but it has yet tobe tested and implemented in a real world situation. By using a robot arm acompany can minimize the risk of damage to humans.In this work we are exploring the options of teleoperation using ros and moveitby performing a pick-and-place scenario. This task is done by a UR10 equippedwith a Schunk SIH.The results were that a ROS node could control the robot hand by sendingcommands inline or through a publishing node. This node is compatible with thewhole system and may be operated alongside a UR10 robotic arm. Moveit'smotion planning tool using inverse kinematics can drive the UR10 robot. Therobot arm was able to accomplish a pick-and-place job by placing a water bottleon top of a box.This investigation analyzes this effort from a variety of angles, one of which isan ethical one that emphasizes the need of making these advances for the sake ofhuman health.