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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. 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 ...

  4. 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 ...

  5. Six degrees of freedom - Wikipedia

    en.wikipedia.org/wiki/Six_degrees_of_freedom

    This provides a direct relationship between actuator positions and the configuration of the manipulator defined by its forward and inverse kinematics. Robot arms are described by their degrees of freedom. This is a practical metric, in contrast to the abstract definition of degrees of freedom which measures the aggregate positioning capability ...

  6. Forward kinematics - Wikipedia

    en.wikipedia.org/wiki/Forward_kinematics

    The kinematics equations for the series chain of a robot are obtained using a rigid transformation [Z] to characterize the relative movement allowed at each joint and separate rigid transformation [X] to define the dimensions of each link. The result is a sequence of rigid transformations alternating joint and link transformations from the base ...

  7. Automatic differentiation - Wikipedia

    en.wikipedia.org/wiki/Automatic_differentiation

    Currently, for its efficiency and accuracy in computing first and higher order derivatives, auto-differentiation is a celebrated technique with diverse applications in scientific computing and mathematics.

  8. 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 ...

  9. Motion interpolation (computer graphics) - Wikipedia

    en.wikipedia.org/wiki/Motion_Interpolation...

    Inverse kinematics can be used with real-time motion interpolation to create interactions with a virtual environment. As aforementioned, there is a necessary process of annotating example motions with significant structural events. These annotations allow for the reparameterization of time to generic time.