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  2. Denavit–Hartenberg parameters - Wikipedia

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

    The four parameters of classic DH convention are shown in red text, which are θ i, d i, a i, α i. With those four parameters, we can translate the coordinates from O i–1 X i–1 Y i–1 Z i–1 to O i X i Y i Z i. The following four transformation parameters are known as D–H parameters: [4] d: offset along previous z to the common normal

  3. Robot kinematics - Wikipedia

    en.wikipedia.org/wiki/Robot_kinematics

    For serial manipulators this is achieved by direct substitution of the joint parameters into the forward kinematics equations for the serial chain. For parallel manipulators substitution of the joint parameters into the kinematics equations requires solution of the a set of polynomial constraints to determine the set of possible end-effector ...

  4. SCARA - Wikipedia

    en.wikipedia.org/wiki/SCARA

    The SCARA is a type of industrial robot. The acronym stands for Selective Compliance Assembly Robot Arm [1] or Selective Compliance Articulated Robot Arm. [2] By virtue of the SCARA's parallel-axis joint layout, the arm is slightly compliant in the X-Y direction but rigid in the Z direction, hence the term selective compliance. This is ...

  5. Forward kinematics - Wikipedia

    en.wikipedia.org/wiki/Forward_kinematics

    In robot kinematics, forward kinematics refers to the use of the kinematic equations of a robot to compute the position of the end-effector from specified values for the joint parameters. [ 1 ] The kinematics equations of the robot are used in robotics , computer games , and animation .

  6. Serial manipulator - Wikipedia

    en.wikipedia.org/wiki/Serial_manipulator

    A singularity is a configuration of a serial manipulator in which the joint parameters no longer completely define the position and orientation of the end-effector. Singularities occur in configurations when joint axes align in a way that reduces the ability of the arm to position the end-effector.

  7. 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.

  8. Line representations in robotics - Wikipedia

    en.wikipedia.org/wiki/Robotics_conventions

    Each point on the line is given a parameter value that satisfies: = +. The parameter t is unique once p {\displaystyle p} and d {\displaystyle d} are chosen. The representation L ( p , d ) {\displaystyle L(p,d)} is not minimal, because it uses six parameters for only four degrees of freedom.

  9. Schoenflies displacement - Wikipedia

    en.wikipedia.org/wiki/Schoenflies_displacement

    Because the SCARA manipulator was one of the first manipulators providing similar motion, this is often referred to as SCARA-type motion. [3] Today, many robotic manipulators, including some with parallel kinematic architecture, are used in industry for applications ranging from the manufacture of electronics to food processing and packaging ...