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  2. Inverse kinematics - Wikipedia

    en.wikipedia.org/wiki/Inverse_kinematics

    Forward vs. inverse kinematics. In computer animation and robotics, inverse kinematics is the mathematical process of calculating the variable joint parameters needed to place the end of a kinematic chain, such as a robot manipulator or animation character's skeleton, in a given position and orientation relative to the start of the chain.

  3. Paden–Kahan subproblems - Wikipedia

    en.wikipedia.org/wiki/Paden–Kahan_subproblems

    Paden–Kahan subproblems are a set of solved geometric problems which occur frequently in inverse kinematics of common robotic manipulators. [1] Although the set of problems is not exhaustive, it may be used to simplify inverse kinematic analysis for many industrial robots. [2] Beyond the three classical subproblems several others have been ...

  4. Robot kinematics - Wikipedia

    en.wikipedia.org/wiki/Robot_kinematics

    The reverse process that computes the joint parameters that achieve a specified position of the end-effector is known as inverse kinematics. The dimensions of the robot and its kinematics equations define the volume of space reachable by the robot, known as its workspace. There are two broad classes of robots and associated kinematics equations ...

  5. Inverse dynamics - Wikipedia

    en.wikipedia.org/wiki/Inverse_dynamics

    Kinematics; Inverse kinematics: a problem similar to Inverse dynamics but with different goals and starting assumptions.While inverse dynamics asks for torques that produce a certain time-trajectory of positions and velocities, inverse kinematics only asks for a static set of joint angles such that a certain point (or a set of points) of the character (or robot) is positioned at a certain ...

  6. 321 kinematic structure - Wikipedia

    en.wikipedia.org/wiki/321_kinematic_structure

    Victor Scheinman's MIT Arm, built for MIT's Artificial Intelligence Lab ca. 1972, the first arm designed with a 321 kinematic structure. 321 kinematic structure is a design method for robotic arms (serial manipulators), invented by Donald L. Pieper and used in most commercially produced robotic arms.

  7. Denavit–Hartenberg parameters - Wikipedia

    en.wikipedia.org/wiki/Denavit–Hartenberg...

    The coordinate transformations along a serial robot consisting of n links form the kinematics equations of the robot: [] = [] [] [] [] … [] [] [] where [T ] is the transformation that characterizes the location and orientation of the end-link.

  8. Stewart platform - Wikipedia

    en.wikipedia.org/wiki/Stewart_platform

    In industrial applications, linear actuators (hydraulic or electric) are typically used for their simple and unique inverse kinematics closed form solution and their good strength and acceleration. Rotary actuation

  9. Kinematics equations - Wikipedia

    en.wikipedia.org/wiki/Kinematics_equations

    The kinematics equations for a parallel chain, or parallel robot, formed by an end-effector supported by multiple serial chains are obtained from the kinematics equations of each of the supporting serial chains. Suppose that m serial chains support the end-effector, then the transformation from the base to the end-effector is defined by m ...