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  2. 3D user interaction - Wikipedia

    en.wikipedia.org/wiki/3D_user_interaction

    3D Manipulations occurs before a selection task (in order to visually identify a 3D selection target) and after a selection has occurred, to manipulate the selected object. 3D Manipulations require 3 DOF for rotations (1 DOF per axis, namely x, y, z) and 3 DOF for translations (1 DOF per axis) and at least 1 additional DOF for uniform zoom (or ...

  3. Cylindrical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cylindrical_coordinate_system

    The three surfaces intersect at the point P with those coordinates (shown as a black sphere); the Cartesian coordinates of P are roughly (1.0, −1.732, 1.0). Cylindrical coordinate surfaces. The three orthogonal components, ρ (green), φ (red), and z (blue), each increasing at a constant rate.

  4. FORM (symbolic manipulation system) - Wikipedia

    en.wikipedia.org/wiki/FORM_(symbolic...

    It was initially coded in FORTRAN 77, but rewritten in C before the release of version 1.0 in 1989. Version 2.0 was released in 1991. The version 3.0 of FORM has been publicized in 2000. It has been made open-source on August 27, 2010 under the GPL license.

  5. Parallel manipulator - Wikipedia

    en.wikipedia.org/wiki/Parallel_manipulator

    A manipulator can move an object with up to 6 degrees of freedom (DoF), determined by 3 translation 3T and 3 rotation 3R coordinates for full 3T3R mobility. However, when a manipulation task requires less than 6 DoF, the use of lower mobility manipulators, with fewer than 6 DoF, may bring advantages in terms of simpler architecture, easier control, faster motion and lower cost. [2]

  6. Cartesian parallel manipulators - Wikipedia

    en.wikipedia.org/.../Cartesian_parallel_manipulators

    Members of the Multipteron [8] family of manipulators have either 3, 4, 5 or 6 degrees of freedom (DoF). The Tripteron 3-DoF member has three translation degrees of freedom 3T DoF, with the subsequent members of the Multipteron family each adding a rotational R degree of freedom. Each member of the family has mutually perpendicular linear ...

  7. Manipulator (device) - Wikipedia

    en.wikipedia.org/wiki/Manipulator_(device)

    In robotics, a manipulator is a device used to manipulate materials without direct physical contact by the operator. The applications were originally for dealing with radioactive or biohazardous materials, using robotic arms , or they were used in inaccessible places.

  8. Cylinder set - Wikipedia

    en.wikipedia.org/wiki/Cylinder_set

    Given a finite or infinite-dimensional vector space over a field K (such as the real or complex numbers), the cylinder sets may be defined as [, …,] = {: ((), (), …, ())} where is a Borel set in , and each is a linear functional on ; that is, (), the algebraic dual space to .

  9. Industrial robot - Wikipedia

    en.wikipedia.org/wiki/Industrial_robot

    A full parallel manipulator can move an object with up to 6 degrees of freedom (DoF), determined by 3 translation 3T and 3 rotation 3R coordinates for full 3T3R mobility. However, when a manipulation task requires less than 6 DoF, the use of lower mobility manipulators, with fewer than 6 DoF, may bring advantages in terms of simpler ...