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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

    Forward kinematics uses the kinematic equations of a robot to compute the position of the end-effector from specified values for the joint parameters. [3] The reverse process that computes the joint parameters that achieve a specified position of the end-effector is known as inverse kinematics.

  5. Robotics engineering - Wikipedia

    en.wikipedia.org/wiki/Robotics_engineering

    Kinematic models are essential for controlling the movements of robots. Robotics engineers use forward kinematics to calculate the positions and orientations of a robot's end-effector, given specific joint angles, and inverse kinematics to determine the joint movements necessary for a desired end-effector position. These calculations allow for ...

  6. 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 ...

  7. Kinematics equations - Wikipedia

    en.wikipedia.org/wiki/Kinematics_equations

    The second called inverse kinematics uses the position and orientation of the end-effector to compute the joint parameters values. Remarkably, while the forward kinematics of a serial chain is a direct calculation of a single matrix equation, the forward kinematics of a parallel chain requires the simultaneous solution of multiple matrix ...

  8. 321 kinematic structure - Wikipedia

    en.wikipedia.org/wiki/321_kinematic_structure

    The inverse kinematics of serial manipulators with six revolute joints, and with three consecutive joints intersecting, can be solved in closed form, i.e. a set of equations can be written that give the joint positions required to place the end of the arm in a particular position and orientation. [1]

  9. Joint constraints - Wikipedia

    en.wikipedia.org/wiki/Joint_constraints

    Joint constraints are rotational constraints on the joints of an artificial system. [1] They are used in an inverse kinematics chain, in fields including 3D animation or robotics . [ 2 ] Joint constraints can be implemented in a number of ways, but the most common method is to limit rotation about the X, Y and Z axis independently.